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Structural Engineering Review Course Foundations and Retaining Structures
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STRC copy2015 Professional Publications Inc
Structural Engineering Review Course
Foundations and
Retaining Structures
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Lesson Overview
Foundations
and
Retaining
Structures
bull Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
2
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Foundations and Retaining Structures
Learning Objectives
You
will
learnbull strip square rectangular combined
and strap footing design for flexure
and shear
bull cantilever and counterfort retaining
wall design
bull how to deal with iterative procedures
on the SE exam
3
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Prerequisite Knowledge
You
should
already
be
familiar
withbull statics
bull mechanics of materials
bull structural analysis
bull basic reinforced concrete design
bull basic foundation terminology
4
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Referenced Codes and Standards
bull
Building
Code
Requirements
for
Structural
Concrete (ACI 318
2011)
bull International Building Code (IBC 2012)
5
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Foundations and Retaining Structures
Strip Footing
B length of footing parallel to wall
e eccentricity of wall load with respect
to the centroid of the footing
e´ eccentricity of wall load with respect
to edge of footing L2 ndash e
L length of footing perpendicular
to wall
P applied wall load
q soil pressure due to unfactored loads
nomenclature
6
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing
pressure
distributionbull unfactored loads
bull self ‐weight of footing
bull applied load from wall
bull For footing with length B (parallel to
wall) pressure distribution is as shown
on next slide
bull Size footing so that maximum soil
pressure is less than allowable soil pressure
7
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip FootingFigure 21 Net Pressure Distribution on a Footing
8
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Foundations and Retaining Structures
Example Strip FootingExample
21
9
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Foundations and Retaining Structures
Example Strip Footing
10
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
11
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing
factored soil pressure
bull factored loads
bull force acting on footing (net pressure)
bull Self ‐weight of footing produces equal
and opposite soil pressure (cancels out and is not included in net pressure)
bull soil pressure due to applied wall load
only
bull
used to
determine
flexure
and
flexure
shear
12
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
For the strip footing shown the applied
loads PD and PL include the weight of the
wall Determine the maximum factored
net pressure
13
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
12 16
kips kips12 20 16 10
ft ft
40 kips ft
40 ft-kips ftft-kips
40ft 1 ft
kips40
ft
u D L
u
P P P
M
M e
P
2
61
6 1kips40 1
ft 12 ft
1 ft 12 ft
5 kips ft max
e P
Lq BL
12 ft2 ft6 6
L
6
Le Since
14
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing Critical Sections
c width of wall
d effective depth of footing
h depth of footing
nomenclature
15
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing Critical Sections
Figure 22
Critical
Sections
for
Flexure
and
Shear
16
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing
flexure shear design
same as for reinforced concrete beams per ACI 318 Sec 112
flexure design
same as for reinforced concrete beams per ACI 318 Sec 102 with exceptions
bull ρmin = 00018 [for grade 60 bars]
bull main reinforcement smax ge max [18 in 3h]
bull main reinforcement Oslash development length le anchorage length
bull distributed reinforcement smax ge max [18 in 5h]
17
l d d
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Foundations and Retaining Structures
Example Strip FootingExample
23
18
St t l E i i R i C F d ti d R t i i St t
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Foundations and Retaining Structures
Example Strip Footing
19
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
20
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
21
Structural Engineering Review Course Foundations and Retaining Structures
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details
bull maximum spacing
bull principal reinforcement
s = 3h le 18 in
bull distribution reinforcement
s = 5h le 18 in
bull minimum clear spacing between
parallel bars in a layer
bull minimum reinforcement ratio for
distribution steel
22
Structural Engineering Review Course Foundations and Retaining Structures
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details (continued)
minimum cover
bull cast against earth = 3 in
bull exposed to earth or weather
bull 15 in for bars le no 5
bull 2 in for bars gt no 5
23
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g g g
copy 2016 Professional Publications Inc 24
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
24
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
Solution
Detailing requirements are different for
beams and footings More space is
allowed between reinforcement for
footings so option A is true More cover
is needed for footings than beams so
option B is false
The answer is (A)
25
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Foundations and Retaining Structures
Isolated Column with Square Footing
bo length of the critical perimeter
β ratio of long side to short side
of column
s shear constant
nomenclature
26
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Isolated Column with Square FootingFigure 23 Critical Perimeter
for
Punching
Shear
27
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for punching shear (continued)
bull shear strength
bull for square columns
bull when β gt 2
bull for bo gt 20d
bull where ACI Eq 11‐33
ACI Eq 11‐31
ACI Eq 11‐32
28
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Foundations and Retaining Structures
Isolated Column with Square Footing
design shear
axial load only
bull shear force
bull shear stress
bull axial and moment
bull max shear stress
29
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
Example 24
30
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for flexure shear and flexure
bull critical section
bull concrete and masonry (same as
strip footing)
bull steel (as shown)
bull capacity (same as strip footing)
Figure 24 Critical Sections for a Footing with Steel Base Plate
32
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Foundations and Retaining Structures
Example Isolated Column with Square FootingExample
25
33
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
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Example Combined Footing
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Example Combined Footing
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
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Structures
Example Strap Footing
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Foundations
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Structures
Example Strap Footing
71
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
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Foundations
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Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
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Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 85
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 95
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Structural Engineering Review Course Foundations and Retaining Structures
copy 2016 Professional Publications Inc 2
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Foundations and Retaining Structures
Lesson Overview
Foundations
and
Retaining
Structures
bull Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
2
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Learning Objectives
You
will
learnbull strip square rectangular combined
and strap footing design for flexure
and shear
bull cantilever and counterfort retaining
wall design
bull how to deal with iterative procedures
on the SE exam
3
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Prerequisite Knowledge
You
should
already
be
familiar
withbull statics
bull mechanics of materials
bull structural analysis
bull basic reinforced concrete design
bull basic foundation terminology
4
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Referenced Codes and Standards
bull
Building
Code
Requirements
for
Structural
Concrete (ACI 318
2011)
bull International Building Code (IBC 2012)
5
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Foundations and Retaining Structures
Strip Footing
B length of footing parallel to wall
e eccentricity of wall load with respect
to the centroid of the footing
e´ eccentricity of wall load with respect
to edge of footing L2 ndash e
L length of footing perpendicular
to wall
P applied wall load
q soil pressure due to unfactored loads
nomenclature
6
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing
pressure
distributionbull unfactored loads
bull self ‐weight of footing
bull applied load from wall
bull For footing with length B (parallel to
wall) pressure distribution is as shown
on next slide
bull Size footing so that maximum soil
pressure is less than allowable soil pressure
7
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip FootingFigure 21 Net Pressure Distribution on a Footing
8
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Foundations and Retaining Structures
Example Strip FootingExample
21
9
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
10
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
11
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Structural Engineering Review Course Foundations and Retaining Structures
copy 2016 Professional Publications Inc 12
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Foundations and Retaining Structures
Strip Footing
factored soil pressure
bull factored loads
bull force acting on footing (net pressure)
bull Self ‐weight of footing produces equal
and opposite soil pressure (cancels out and is not included in net pressure)
bull soil pressure due to applied wall load
only
bull
used to
determine
flexure
and
flexure
shear
12
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Structural Engineering Review Course Foundations and Retaining Structures
copy 2016 Professional Publications Inc 13
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Foundations and Retaining Structures
Example Strip Footing
For the strip footing shown the applied
loads PD and PL include the weight of the
wall Determine the maximum factored
net pressure
13
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Foundations and Retaining Structures
Example Strip Footing
12 16
kips kips12 20 16 10
ft ft
40 kips ft
40 ft-kips ftft-kips
40ft 1 ft
kips40
ft
u D L
u
P P P
M
M e
P
2
61
6 1kips40 1
ft 12 ft
1 ft 12 ft
5 kips ft max
e P
Lq BL
12 ft2 ft6 6
L
6
Le Since
14
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing Critical Sections
c width of wall
d effective depth of footing
h depth of footing
nomenclature
15
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Structural Engineering Review Course Foundations and Retaining Structures
copy 2016 Professional Publications Inc 16
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Foundations and Retaining Structures
Strip Footing Critical Sections
Figure 22
Critical
Sections
for
Flexure
and
Shear
16
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing
flexure shear design
same as for reinforced concrete beams per ACI 318 Sec 112
flexure design
same as for reinforced concrete beams per ACI 318 Sec 102 with exceptions
bull ρmin = 00018 [for grade 60 bars]
bull main reinforcement smax ge max [18 in 3h]
bull main reinforcement Oslash development length le anchorage length
bull distributed reinforcement smax ge max [18 in 5h]
17
l d d
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Foundations and Retaining Structures
Example Strip FootingExample
23
18
St t l E i i R i C F d ti d R t i i St t
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Foundations and Retaining Structures
Example Strip Footing
19
Structural Engineering Review Course Foundations and Retaining Structures
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
20
Structural Engineering Review Course Foundations and Retaining Structures
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
21
Structural Engineering Review Course Foundations and Retaining Structures
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Structural Engineering Review Course Foundations and Retaining Structures
copy 2016 Professional Publications Inc 22
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details
bull maximum spacing
bull principal reinforcement
s = 3h le 18 in
bull distribution reinforcement
s = 5h le 18 in
bull minimum clear spacing between
parallel bars in a layer
bull minimum reinforcement ratio for
distribution steel
22
Structural Engineering Review Course Foundations and Retaining Structures
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details (continued)
minimum cover
bull cast against earth = 3 in
bull exposed to earth or weather
bull 15 in for bars le no 5
bull 2 in for bars gt no 5
23
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g g g
copy 2016 Professional Publications Inc 24
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
24
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
Solution
Detailing requirements are different for
beams and footings More space is
allowed between reinforcement for
footings so option A is true More cover
is needed for footings than beams so
option B is false
The answer is (A)
25
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Foundations and Retaining Structures
Isolated Column with Square Footing
bo length of the critical perimeter
β ratio of long side to short side
of column
s shear constant
nomenclature
26
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Isolated Column with Square FootingFigure 23 Critical Perimeter
for
Punching
Shear
27
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for punching shear (continued)
bull shear strength
bull for square columns
bull when β gt 2
bull for bo gt 20d
bull where ACI Eq 11‐33
ACI Eq 11‐31
ACI Eq 11‐32
28
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Foundations and Retaining Structures
Isolated Column with Square Footing
design shear
axial load only
bull shear force
bull shear stress
bull axial and moment
bull max shear stress
29
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
Example 24
30
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
31
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for flexure shear and flexure
bull critical section
bull concrete and masonry (same as
strip footing)
bull steel (as shown)
bull capacity (same as strip footing)
Figure 24 Critical Sections for a Footing with Steel Base Plate
32
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Foundations and Retaining Structures
Example Isolated Column with Square FootingExample
25
33
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
45
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
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Foundations
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Structures
Example Strap Footing
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Foundations
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Example Strap Footing
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
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Foundations
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Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
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Foundations
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Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
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Retaining
Structures
Example Cantilever Retaining WallExample 216
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Foundations
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Structures
Example Cantilever Retaining Wall
83
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Foundations
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Structures
Example Cantilever Retaining Wall
85
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d d
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
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Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
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F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
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Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
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Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Foundations and Retaining Structures
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Example Counterfort Retaining Wall
101
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Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Foundations and Retaining Structures
Learning Objectives
You
will
learnbull strip square rectangular combined
and strap footing design for flexure
and shear
bull cantilever and counterfort retaining
wall design
bull how to deal with iterative procedures
on the SE exam
3
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Foundations and Retaining Structures
Prerequisite Knowledge
You
should
already
be
familiar
withbull statics
bull mechanics of materials
bull structural analysis
bull basic reinforced concrete design
bull basic foundation terminology
4
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Foundations and Retaining Structures
Referenced Codes and Standards
bull
Building
Code
Requirements
for
Structural
Concrete (ACI 318
2011)
bull International Building Code (IBC 2012)
5
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Foundations and Retaining Structures
Strip Footing
B length of footing parallel to wall
e eccentricity of wall load with respect
to the centroid of the footing
e´ eccentricity of wall load with respect
to edge of footing L2 ndash e
L length of footing perpendicular
to wall
P applied wall load
q soil pressure due to unfactored loads
nomenclature
6
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Foundations and Retaining Structures
Strip Footing
pressure
distributionbull unfactored loads
bull self ‐weight of footing
bull applied load from wall
bull For footing with length B (parallel to
wall) pressure distribution is as shown
on next slide
bull Size footing so that maximum soil
pressure is less than allowable soil pressure
7
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Foundations and Retaining Structures
Strip FootingFigure 21 Net Pressure Distribution on a Footing
8
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Foundations and Retaining Structures
Example Strip FootingExample
21
9
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Foundations and Retaining Structures
Example Strip Footing
10
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Foundations and Retaining Structures
Example Strip Footing
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Foundations and Retaining Structures
Strip Footing
factored soil pressure
bull factored loads
bull force acting on footing (net pressure)
bull Self ‐weight of footing produces equal
and opposite soil pressure (cancels out and is not included in net pressure)
bull soil pressure due to applied wall load
only
bull
used to
determine
flexure
and
flexure
shear
12
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Foundations and Retaining Structures
Example Strip Footing
For the strip footing shown the applied
loads PD and PL include the weight of the
wall Determine the maximum factored
net pressure
13
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Foundations and Retaining Structures
Example Strip Footing
12 16
kips kips12 20 16 10
ft ft
40 kips ft
40 ft-kips ftft-kips
40ft 1 ft
kips40
ft
u D L
u
P P P
M
M e
P
2
61
6 1kips40 1
ft 12 ft
1 ft 12 ft
5 kips ft max
e P
Lq BL
12 ft2 ft6 6
L
6
Le Since
14
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Foundations and Retaining Structures
Strip Footing Critical Sections
c width of wall
d effective depth of footing
h depth of footing
nomenclature
15
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Foundations and Retaining Structures
Strip Footing Critical Sections
Figure 22
Critical
Sections
for
Flexure
and
Shear
16
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Foundations and Retaining Structures
Strip Footing
flexure shear design
same as for reinforced concrete beams per ACI 318 Sec 112
flexure design
same as for reinforced concrete beams per ACI 318 Sec 102 with exceptions
bull ρmin = 00018 [for grade 60 bars]
bull main reinforcement smax ge max [18 in 3h]
bull main reinforcement Oslash development length le anchorage length
bull distributed reinforcement smax ge max [18 in 5h]
17
l d d
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Foundations and Retaining Structures
Example Strip FootingExample
23
18
St t l E i i R i C F d ti d R t i i St t
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Foundations and Retaining Structures
Example Strip Footing
19
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Example Strip Footing
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Example Strip Footing
21
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details
bull maximum spacing
bull principal reinforcement
s = 3h le 18 in
bull distribution reinforcement
s = 5h le 18 in
bull minimum clear spacing between
parallel bars in a layer
bull minimum reinforcement ratio for
distribution steel
22
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details (continued)
minimum cover
bull cast against earth = 3 in
bull exposed to earth or weather
bull 15 in for bars le no 5
bull 2 in for bars gt no 5
23
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g g g
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
24
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
Solution
Detailing requirements are different for
beams and footings More space is
allowed between reinforcement for
footings so option A is true More cover
is needed for footings than beams so
option B is false
The answer is (A)
25
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Foundations and Retaining Structures
Isolated Column with Square Footing
bo length of the critical perimeter
β ratio of long side to short side
of column
s shear constant
nomenclature
26
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Foundations and Retaining Structures
Isolated Column with Square FootingFigure 23 Critical Perimeter
for
Punching
Shear
27
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for punching shear (continued)
bull shear strength
bull for square columns
bull when β gt 2
bull for bo gt 20d
bull where ACI Eq 11‐33
ACI Eq 11‐31
ACI Eq 11‐32
28
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Foundations and Retaining Structures
Isolated Column with Square Footing
design shear
axial load only
bull shear force
bull shear stress
bull axial and moment
bull max shear stress
29
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
Example 24
30
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for flexure shear and flexure
bull critical section
bull concrete and masonry (same as
strip footing)
bull steel (as shown)
bull capacity (same as strip footing)
Figure 24 Critical Sections for a Footing with Steel Base Plate
32
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Foundations and Retaining Structures
Example Isolated Column with Square FootingExample
25
33
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
and
Retaining
Structures
Example Strap Footing
70
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Foundations
and
Retaining
Structures
Example Strap Footing
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
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Foundations
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Structures
Example Cantilever Retaining Wall
83
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Foundations
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Structures
Example Cantilever Retaining Wall
85
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d d
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
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F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
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Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
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Foundations and Retaining Structures
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Foundations
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Retaining
Structures
Example Counterfort Retaining Wall
96
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
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Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Foundations and Retaining Structures
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Example Counterfort Retaining Wall
101
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Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Foundations and Retaining Structures
Prerequisite Knowledge
You
should
already
be
familiar
withbull statics
bull mechanics of materials
bull structural analysis
bull basic reinforced concrete design
bull basic foundation terminology
4
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Foundations and Retaining Structures
Referenced Codes and Standards
bull
Building
Code
Requirements
for
Structural
Concrete (ACI 318
2011)
bull International Building Code (IBC 2012)
5
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Foundations and Retaining Structures
Strip Footing
B length of footing parallel to wall
e eccentricity of wall load with respect
to the centroid of the footing
e´ eccentricity of wall load with respect
to edge of footing L2 ndash e
L length of footing perpendicular
to wall
P applied wall load
q soil pressure due to unfactored loads
nomenclature
6
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Foundations and Retaining Structures
Strip Footing
pressure
distributionbull unfactored loads
bull self ‐weight of footing
bull applied load from wall
bull For footing with length B (parallel to
wall) pressure distribution is as shown
on next slide
bull Size footing so that maximum soil
pressure is less than allowable soil pressure
7
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip FootingFigure 21 Net Pressure Distribution on a Footing
8
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Foundations and Retaining Structures
Example Strip FootingExample
21
9
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
10
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
11
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing
factored soil pressure
bull factored loads
bull force acting on footing (net pressure)
bull Self ‐weight of footing produces equal
and opposite soil pressure (cancels out and is not included in net pressure)
bull soil pressure due to applied wall load
only
bull
used to
determine
flexure
and
flexure
shear
12
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
For the strip footing shown the applied
loads PD and PL include the weight of the
wall Determine the maximum factored
net pressure
13
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Foundations and Retaining Structures
Example Strip Footing
12 16
kips kips12 20 16 10
ft ft
40 kips ft
40 ft-kips ftft-kips
40ft 1 ft
kips40
ft
u D L
u
P P P
M
M e
P
2
61
6 1kips40 1
ft 12 ft
1 ft 12 ft
5 kips ft max
e P
Lq BL
12 ft2 ft6 6
L
6
Le Since
14
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Foundations and Retaining Structures
Strip Footing Critical Sections
c width of wall
d effective depth of footing
h depth of footing
nomenclature
15
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Foundations and Retaining Structures
Strip Footing Critical Sections
Figure 22
Critical
Sections
for
Flexure
and
Shear
16
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Foundations and Retaining Structures
Strip Footing
flexure shear design
same as for reinforced concrete beams per ACI 318 Sec 112
flexure design
same as for reinforced concrete beams per ACI 318 Sec 102 with exceptions
bull ρmin = 00018 [for grade 60 bars]
bull main reinforcement smax ge max [18 in 3h]
bull main reinforcement Oslash development length le anchorage length
bull distributed reinforcement smax ge max [18 in 5h]
17
l d d
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Foundations and Retaining Structures
Example Strip FootingExample
23
18
St t l E i i R i C F d ti d R t i i St t
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Foundations and Retaining Structures
Example Strip Footing
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
20
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
21
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details
bull maximum spacing
bull principal reinforcement
s = 3h le 18 in
bull distribution reinforcement
s = 5h le 18 in
bull minimum clear spacing between
parallel bars in a layer
bull minimum reinforcement ratio for
distribution steel
22
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details (continued)
minimum cover
bull cast against earth = 3 in
bull exposed to earth or weather
bull 15 in for bars le no 5
bull 2 in for bars gt no 5
23
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g g g
copy 2016 Professional Publications Inc 24
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
24
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
Solution
Detailing requirements are different for
beams and footings More space is
allowed between reinforcement for
footings so option A is true More cover
is needed for footings than beams so
option B is false
The answer is (A)
25
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Foundations and Retaining Structures
Isolated Column with Square Footing
bo length of the critical perimeter
β ratio of long side to short side
of column
s shear constant
nomenclature
26
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Foundations and Retaining Structures
Isolated Column with Square FootingFigure 23 Critical Perimeter
for
Punching
Shear
27
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for punching shear (continued)
bull shear strength
bull for square columns
bull when β gt 2
bull for bo gt 20d
bull where ACI Eq 11‐33
ACI Eq 11‐31
ACI Eq 11‐32
28
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Foundations and Retaining Structures
Isolated Column with Square Footing
design shear
axial load only
bull shear force
bull shear stress
bull axial and moment
bull max shear stress
29
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
Example 24
30
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for flexure shear and flexure
bull critical section
bull concrete and masonry (same as
strip footing)
bull steel (as shown)
bull capacity (same as strip footing)
Figure 24 Critical Sections for a Footing with Steel Base Plate
32
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Foundations and Retaining Structures
Example Isolated Column with Square FootingExample
25
33
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
45
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
57
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
61
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
63
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
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Retaining
Structures
Example Strap Footing
70
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Foundations
and
Retaining
Structures
Example Strap Footing
71
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
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Foundations
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Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
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Structures
Example Cantilever Retaining WallExample 216
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Foundations
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Example Cantilever Retaining Wall
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Foundations
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Example Cantilever Retaining Wall
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d d
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
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F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Example Counterfort Retaining Wall
101
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Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Foundations and Retaining Structures
Referenced Codes and Standards
bull
Building
Code
Requirements
for
Structural
Concrete (ACI 318
2011)
bull International Building Code (IBC 2012)
5
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Foundations and Retaining Structures
Strip Footing
B length of footing parallel to wall
e eccentricity of wall load with respect
to the centroid of the footing
e´ eccentricity of wall load with respect
to edge of footing L2 ndash e
L length of footing perpendicular
to wall
P applied wall load
q soil pressure due to unfactored loads
nomenclature
6
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Foundations and Retaining Structures
Strip Footing
pressure
distributionbull unfactored loads
bull self ‐weight of footing
bull applied load from wall
bull For footing with length B (parallel to
wall) pressure distribution is as shown
on next slide
bull Size footing so that maximum soil
pressure is less than allowable soil pressure
7
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Foundations and Retaining Structures
Strip FootingFigure 21 Net Pressure Distribution on a Footing
8
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Foundations and Retaining Structures
Example Strip FootingExample
21
9
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Foundations and Retaining Structures
Example Strip Footing
10
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Foundations and Retaining Structures
Example Strip Footing
11
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing
factored soil pressure
bull factored loads
bull force acting on footing (net pressure)
bull Self ‐weight of footing produces equal
and opposite soil pressure (cancels out and is not included in net pressure)
bull soil pressure due to applied wall load
only
bull
used to
determine
flexure
and
flexure
shear
12
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
For the strip footing shown the applied
loads PD and PL include the weight of the
wall Determine the maximum factored
net pressure
13
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Foundations and Retaining Structures
Example Strip Footing
12 16
kips kips12 20 16 10
ft ft
40 kips ft
40 ft-kips ftft-kips
40ft 1 ft
kips40
ft
u D L
u
P P P
M
M e
P
2
61
6 1kips40 1
ft 12 ft
1 ft 12 ft
5 kips ft max
e P
Lq BL
12 ft2 ft6 6
L
6
Le Since
14
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Foundations and Retaining Structures
Strip Footing Critical Sections
c width of wall
d effective depth of footing
h depth of footing
nomenclature
15
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Foundations and Retaining Structures
Strip Footing Critical Sections
Figure 22
Critical
Sections
for
Flexure
and
Shear
16
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Foundations and Retaining Structures
Strip Footing
flexure shear design
same as for reinforced concrete beams per ACI 318 Sec 112
flexure design
same as for reinforced concrete beams per ACI 318 Sec 102 with exceptions
bull ρmin = 00018 [for grade 60 bars]
bull main reinforcement smax ge max [18 in 3h]
bull main reinforcement Oslash development length le anchorage length
bull distributed reinforcement smax ge max [18 in 5h]
17
l d d
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Foundations and Retaining Structures
Example Strip FootingExample
23
18
St t l E i i R i C F d ti d R t i i St t
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Foundations and Retaining Structures
Example Strip Footing
19
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Foundations and Retaining Structures
Example Strip Footing
20
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Foundations and Retaining Structures
Example Strip Footing
21
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details
bull maximum spacing
bull principal reinforcement
s = 3h le 18 in
bull distribution reinforcement
s = 5h le 18 in
bull minimum clear spacing between
parallel bars in a layer
bull minimum reinforcement ratio for
distribution steel
22
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details (continued)
minimum cover
bull cast against earth = 3 in
bull exposed to earth or weather
bull 15 in for bars le no 5
bull 2 in for bars gt no 5
23
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g g g
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
24
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
Solution
Detailing requirements are different for
beams and footings More space is
allowed between reinforcement for
footings so option A is true More cover
is needed for footings than beams so
option B is false
The answer is (A)
25
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Foundations and Retaining Structures
Isolated Column with Square Footing
bo length of the critical perimeter
β ratio of long side to short side
of column
s shear constant
nomenclature
26
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Foundations and Retaining Structures
Isolated Column with Square FootingFigure 23 Critical Perimeter
for
Punching
Shear
27
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for punching shear (continued)
bull shear strength
bull for square columns
bull when β gt 2
bull for bo gt 20d
bull where ACI Eq 11‐33
ACI Eq 11‐31
ACI Eq 11‐32
28
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Foundations and Retaining Structures
Isolated Column with Square Footing
design shear
axial load only
bull shear force
bull shear stress
bull axial and moment
bull max shear stress
29
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
Example 24
30
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
31
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for flexure shear and flexure
bull critical section
bull concrete and masonry (same as
strip footing)
bull steel (as shown)
bull capacity (same as strip footing)
Figure 24 Critical Sections for a Footing with Steel Base Plate
32
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Foundations and Retaining Structures
Example Isolated Column with Square FootingExample
25
33
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
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Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
and
Retaining
Structures
Example Strap Footing
70
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Foundations
and
Retaining
Structures
Example Strap Footing
71
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
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Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing
B length of footing parallel to wall
e eccentricity of wall load with respect
to the centroid of the footing
e´ eccentricity of wall load with respect
to edge of footing L2 ndash e
L length of footing perpendicular
to wall
P applied wall load
q soil pressure due to unfactored loads
nomenclature
6
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing
pressure
distributionbull unfactored loads
bull self ‐weight of footing
bull applied load from wall
bull For footing with length B (parallel to
wall) pressure distribution is as shown
on next slide
bull Size footing so that maximum soil
pressure is less than allowable soil pressure
7
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip FootingFigure 21 Net Pressure Distribution on a Footing
8
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Foundations and Retaining Structures
Example Strip FootingExample
21
9
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Foundations and Retaining Structures
Example Strip Footing
10
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Foundations and Retaining Structures
Example Strip Footing
11
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing
factored soil pressure
bull factored loads
bull force acting on footing (net pressure)
bull Self ‐weight of footing produces equal
and opposite soil pressure (cancels out and is not included in net pressure)
bull soil pressure due to applied wall load
only
bull
used to
determine
flexure
and
flexure
shear
12
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
For the strip footing shown the applied
loads PD and PL include the weight of the
wall Determine the maximum factored
net pressure
13
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Foundations and Retaining Structures
Example Strip Footing
12 16
kips kips12 20 16 10
ft ft
40 kips ft
40 ft-kips ftft-kips
40ft 1 ft
kips40
ft
u D L
u
P P P
M
M e
P
2
61
6 1kips40 1
ft 12 ft
1 ft 12 ft
5 kips ft max
e P
Lq BL
12 ft2 ft6 6
L
6
Le Since
14
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing Critical Sections
c width of wall
d effective depth of footing
h depth of footing
nomenclature
15
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Foundations and Retaining Structures
Strip Footing Critical Sections
Figure 22
Critical
Sections
for
Flexure
and
Shear
16
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Foundations and Retaining Structures
Strip Footing
flexure shear design
same as for reinforced concrete beams per ACI 318 Sec 112
flexure design
same as for reinforced concrete beams per ACI 318 Sec 102 with exceptions
bull ρmin = 00018 [for grade 60 bars]
bull main reinforcement smax ge max [18 in 3h]
bull main reinforcement Oslash development length le anchorage length
bull distributed reinforcement smax ge max [18 in 5h]
17
l d d
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Foundations and Retaining Structures
Example Strip FootingExample
23
18
St t l E i i R i C F d ti d R t i i St t
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Foundations and Retaining Structures
Example Strip Footing
19
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
20
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Foundations and Retaining Structures
Example Strip Footing
21
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details
bull maximum spacing
bull principal reinforcement
s = 3h le 18 in
bull distribution reinforcement
s = 5h le 18 in
bull minimum clear spacing between
parallel bars in a layer
bull minimum reinforcement ratio for
distribution steel
22
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details (continued)
minimum cover
bull cast against earth = 3 in
bull exposed to earth or weather
bull 15 in for bars le no 5
bull 2 in for bars gt no 5
23
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g g g
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
24
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
Solution
Detailing requirements are different for
beams and footings More space is
allowed between reinforcement for
footings so option A is true More cover
is needed for footings than beams so
option B is false
The answer is (A)
25
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Foundations and Retaining Structures
Isolated Column with Square Footing
bo length of the critical perimeter
β ratio of long side to short side
of column
s shear constant
nomenclature
26
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Foundations and Retaining Structures
Isolated Column with Square FootingFigure 23 Critical Perimeter
for
Punching
Shear
27
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for punching shear (continued)
bull shear strength
bull for square columns
bull when β gt 2
bull for bo gt 20d
bull where ACI Eq 11‐33
ACI Eq 11‐31
ACI Eq 11‐32
28
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Foundations and Retaining Structures
Isolated Column with Square Footing
design shear
axial load only
bull shear force
bull shear stress
bull axial and moment
bull max shear stress
29
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
Example 24
30
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for flexure shear and flexure
bull critical section
bull concrete and masonry (same as
strip footing)
bull steel (as shown)
bull capacity (same as strip footing)
Figure 24 Critical Sections for a Footing with Steel Base Plate
32
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Foundations and Retaining Structures
Example Isolated Column with Square FootingExample
25
33
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
61
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
63
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
and
Retaining
Structures
Example Strap Footing
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Foundations
and
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Structures
Example Strap Footing
71
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
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Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing
pressure
distributionbull unfactored loads
bull self ‐weight of footing
bull applied load from wall
bull For footing with length B (parallel to
wall) pressure distribution is as shown
on next slide
bull Size footing so that maximum soil
pressure is less than allowable soil pressure
7
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Foundations and Retaining Structures
Strip FootingFigure 21 Net Pressure Distribution on a Footing
8
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Foundations and Retaining Structures
Example Strip FootingExample
21
9
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Foundations and Retaining Structures
Example Strip Footing
10
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Foundations and Retaining Structures
Example Strip Footing
11
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Foundations and Retaining Structures
Strip Footing
factored soil pressure
bull factored loads
bull force acting on footing (net pressure)
bull Self ‐weight of footing produces equal
and opposite soil pressure (cancels out and is not included in net pressure)
bull soil pressure due to applied wall load
only
bull
used to
determine
flexure
and
flexure
shear
12
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
For the strip footing shown the applied
loads PD and PL include the weight of the
wall Determine the maximum factored
net pressure
13
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Foundations and Retaining Structures
Example Strip Footing
12 16
kips kips12 20 16 10
ft ft
40 kips ft
40 ft-kips ftft-kips
40ft 1 ft
kips40
ft
u D L
u
P P P
M
M e
P
2
61
6 1kips40 1
ft 12 ft
1 ft 12 ft
5 kips ft max
e P
Lq BL
12 ft2 ft6 6
L
6
Le Since
14
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Foundations and Retaining Structures
Strip Footing Critical Sections
c width of wall
d effective depth of footing
h depth of footing
nomenclature
15
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Foundations and Retaining Structures
Strip Footing Critical Sections
Figure 22
Critical
Sections
for
Flexure
and
Shear
16
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Foundations and Retaining Structures
Strip Footing
flexure shear design
same as for reinforced concrete beams per ACI 318 Sec 112
flexure design
same as for reinforced concrete beams per ACI 318 Sec 102 with exceptions
bull ρmin = 00018 [for grade 60 bars]
bull main reinforcement smax ge max [18 in 3h]
bull main reinforcement Oslash development length le anchorage length
bull distributed reinforcement smax ge max [18 in 5h]
17
l d d
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Foundations and Retaining Structures
Example Strip FootingExample
23
18
St t l E i i R i C F d ti d R t i i St t
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Foundations and Retaining Structures
Example Strip Footing
19
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Foundations and Retaining Structures
Example Strip Footing
20
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Foundations and Retaining Structures
Example Strip Footing
21
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details
bull maximum spacing
bull principal reinforcement
s = 3h le 18 in
bull distribution reinforcement
s = 5h le 18 in
bull minimum clear spacing between
parallel bars in a layer
bull minimum reinforcement ratio for
distribution steel
22
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details (continued)
minimum cover
bull cast against earth = 3 in
bull exposed to earth or weather
bull 15 in for bars le no 5
bull 2 in for bars gt no 5
23
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g g g
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
24
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
Solution
Detailing requirements are different for
beams and footings More space is
allowed between reinforcement for
footings so option A is true More cover
is needed for footings than beams so
option B is false
The answer is (A)
25
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Foundations and Retaining Structures
Isolated Column with Square Footing
bo length of the critical perimeter
β ratio of long side to short side
of column
s shear constant
nomenclature
26
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Foundations and Retaining Structures
Isolated Column with Square FootingFigure 23 Critical Perimeter
for
Punching
Shear
27
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for punching shear (continued)
bull shear strength
bull for square columns
bull when β gt 2
bull for bo gt 20d
bull where ACI Eq 11‐33
ACI Eq 11‐31
ACI Eq 11‐32
28
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Foundations and Retaining Structures
Isolated Column with Square Footing
design shear
axial load only
bull shear force
bull shear stress
bull axial and moment
bull max shear stress
29
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
Example 24
30
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for flexure shear and flexure
bull critical section
bull concrete and masonry (same as
strip footing)
bull steel (as shown)
bull capacity (same as strip footing)
Figure 24 Critical Sections for a Footing with Steel Base Plate
32
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Foundations and Retaining Structures
Example Isolated Column with Square FootingExample
25
33
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
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Foundations
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Retaining
Structures
Example Strap Footing
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Foundations
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Retaining
Structures
Example Strap Footing
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
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Foundations
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Structures
Example Cantilever Retaining Wall
83
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Foundations
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Structures
Example Cantilever Retaining Wall
85
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Structural Engineering Review Course Foundations and Retaining Structures
d d
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
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F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
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Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
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Foundations and Retaining Structures
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Foundations
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Structures
Example Counterfort Retaining Wall
96
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
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Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Foundations and Retaining Structures
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Example Counterfort Retaining Wall
101
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Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Foundations and Retaining Structures
Strip FootingFigure 21 Net Pressure Distribution on a Footing
8
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Foundations and Retaining Structures
Example Strip FootingExample
21
9
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Foundations and Retaining Structures
Example Strip Footing
10
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Foundations and Retaining Structures
Example Strip Footing
11
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing
factored soil pressure
bull factored loads
bull force acting on footing (net pressure)
bull Self ‐weight of footing produces equal
and opposite soil pressure (cancels out and is not included in net pressure)
bull soil pressure due to applied wall load
only
bull
used to
determine
flexure
and
flexure
shear
12
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
For the strip footing shown the applied
loads PD and PL include the weight of the
wall Determine the maximum factored
net pressure
13
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Foundations and Retaining Structures
Example Strip Footing
12 16
kips kips12 20 16 10
ft ft
40 kips ft
40 ft-kips ftft-kips
40ft 1 ft
kips40
ft
u D L
u
P P P
M
M e
P
2
61
6 1kips40 1
ft 12 ft
1 ft 12 ft
5 kips ft max
e P
Lq BL
12 ft2 ft6 6
L
6
Le Since
14
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing Critical Sections
c width of wall
d effective depth of footing
h depth of footing
nomenclature
15
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing Critical Sections
Figure 22
Critical
Sections
for
Flexure
and
Shear
16
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing
flexure shear design
same as for reinforced concrete beams per ACI 318 Sec 112
flexure design
same as for reinforced concrete beams per ACI 318 Sec 102 with exceptions
bull ρmin = 00018 [for grade 60 bars]
bull main reinforcement smax ge max [18 in 3h]
bull main reinforcement Oslash development length le anchorage length
bull distributed reinforcement smax ge max [18 in 5h]
17
l d d
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Foundations and Retaining Structures
Example Strip FootingExample
23
18
St t l E i i R i C F d ti d R t i i St t
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Foundations and Retaining Structures
Example Strip Footing
19
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
20
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
21
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details
bull maximum spacing
bull principal reinforcement
s = 3h le 18 in
bull distribution reinforcement
s = 5h le 18 in
bull minimum clear spacing between
parallel bars in a layer
bull minimum reinforcement ratio for
distribution steel
22
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details (continued)
minimum cover
bull cast against earth = 3 in
bull exposed to earth or weather
bull 15 in for bars le no 5
bull 2 in for bars gt no 5
23
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g g g
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
24
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
Solution
Detailing requirements are different for
beams and footings More space is
allowed between reinforcement for
footings so option A is true More cover
is needed for footings than beams so
option B is false
The answer is (A)
25
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Foundations and Retaining Structures
Isolated Column with Square Footing
bo length of the critical perimeter
β ratio of long side to short side
of column
s shear constant
nomenclature
26
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Foundations and Retaining Structures
Isolated Column with Square FootingFigure 23 Critical Perimeter
for
Punching
Shear
27
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for punching shear (continued)
bull shear strength
bull for square columns
bull when β gt 2
bull for bo gt 20d
bull where ACI Eq 11‐33
ACI Eq 11‐31
ACI Eq 11‐32
28
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Foundations and Retaining Structures
Isolated Column with Square Footing
design shear
axial load only
bull shear force
bull shear stress
bull axial and moment
bull max shear stress
29
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
Example 24
30
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for flexure shear and flexure
bull critical section
bull concrete and masonry (same as
strip footing)
bull steel (as shown)
bull capacity (same as strip footing)
Figure 24 Critical Sections for a Footing with Steel Base Plate
32
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Foundations and Retaining Structures
Example Isolated Column with Square FootingExample
25
33
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
63
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
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Retaining
Structures
Example Strap Footing
70
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Foundations
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Retaining
Structures
Example Strap Footing
71
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
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Retaining
Structures
Example Cantilever Retaining WallExample 216
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Foundations
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Structures
Example Cantilever Retaining Wall
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Structures
Example Cantilever Retaining Wall
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d d
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
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Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
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F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
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Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 91
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 95
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 96
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 98
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 99
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g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 101
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Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 102
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip FootingExample
21
9
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
10
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
11
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing
factored soil pressure
bull factored loads
bull force acting on footing (net pressure)
bull Self ‐weight of footing produces equal
and opposite soil pressure (cancels out and is not included in net pressure)
bull soil pressure due to applied wall load
only
bull
used to
determine
flexure
and
flexure
shear
12
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
For the strip footing shown the applied
loads PD and PL include the weight of the
wall Determine the maximum factored
net pressure
13
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
12 16
kips kips12 20 16 10
ft ft
40 kips ft
40 ft-kips ftft-kips
40ft 1 ft
kips40
ft
u D L
u
P P P
M
M e
P
2
61
6 1kips40 1
ft 12 ft
1 ft 12 ft
5 kips ft max
e P
Lq BL
12 ft2 ft6 6
L
6
Le Since
14
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing Critical Sections
c width of wall
d effective depth of footing
h depth of footing
nomenclature
15
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing Critical Sections
Figure 22
Critical
Sections
for
Flexure
and
Shear
16
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing
flexure shear design
same as for reinforced concrete beams per ACI 318 Sec 112
flexure design
same as for reinforced concrete beams per ACI 318 Sec 102 with exceptions
bull ρmin = 00018 [for grade 60 bars]
bull main reinforcement smax ge max [18 in 3h]
bull main reinforcement Oslash development length le anchorage length
bull distributed reinforcement smax ge max [18 in 5h]
17
l d d
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip FootingExample
23
18
St t l E i i R i C F d ti d R t i i St t
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Foundations and Retaining Structures
Example Strip Footing
19
Structural Engineering Review Course Foundations and Retaining Structures
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
20
Structural Engineering Review Course Foundations and Retaining Structures
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
21
Structural Engineering Review Course Foundations and Retaining Structures
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details
bull maximum spacing
bull principal reinforcement
s = 3h le 18 in
bull distribution reinforcement
s = 5h le 18 in
bull minimum clear spacing between
parallel bars in a layer
bull minimum reinforcement ratio for
distribution steel
22
Structural Engineering Review Course Foundations and Retaining Structures
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details (continued)
minimum cover
bull cast against earth = 3 in
bull exposed to earth or weather
bull 15 in for bars le no 5
bull 2 in for bars gt no 5
23
Structural Engineering Review Course Foundations and Retaining Structures
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g g g
copy 2016 Professional Publications Inc 24
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
24
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
Solution
Detailing requirements are different for
beams and footings More space is
allowed between reinforcement for
footings so option A is true More cover
is needed for footings than beams so
option B is false
The answer is (A)
25
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Foundations and Retaining Structures
Isolated Column with Square Footing
bo length of the critical perimeter
β ratio of long side to short side
of column
s shear constant
nomenclature
26
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Isolated Column with Square FootingFigure 23 Critical Perimeter
for
Punching
Shear
27
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for punching shear (continued)
bull shear strength
bull for square columns
bull when β gt 2
bull for bo gt 20d
bull where ACI Eq 11‐33
ACI Eq 11‐31
ACI Eq 11‐32
28
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Isolated Column with Square Footing
design shear
axial load only
bull shear force
bull shear stress
bull axial and moment
bull max shear stress
29
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
Example 24
30
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
31
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for flexure shear and flexure
bull critical section
bull concrete and masonry (same as
strip footing)
bull steel (as shown)
bull capacity (same as strip footing)
Figure 24 Critical Sections for a Footing with Steel Base Plate
32
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Foundations and Retaining Structures
Example Isolated Column with Square FootingExample
25
33
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
45
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
52
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
55
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Foundations and Retaining Structures
Example Combined Footing
56
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Foundations and Retaining Structures
Example Combined Footing
57
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
61
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Foundations and Retaining Structures
Example Combined Footing
62
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Foundations and Retaining Structures
Example Combined Footing
63
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
and
Retaining
Structures
Example Strap Footing
70
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Foundations
and
Retaining
Structures
Example Strap Footing
71
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
10
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Foundations and Retaining Structures
Example Strip Footing
11
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Structural Engineering Review Course Foundations and Retaining Structures
copy 2016 Professional Publications Inc 12
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Foundations and Retaining Structures
Strip Footing
factored soil pressure
bull factored loads
bull force acting on footing (net pressure)
bull Self ‐weight of footing produces equal
and opposite soil pressure (cancels out and is not included in net pressure)
bull soil pressure due to applied wall load
only
bull
used to
determine
flexure
and
flexure
shear
12
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Structural Engineering Review Course Foundations and Retaining Structures
copy 2016 Professional Publications Inc 13
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Foundations and Retaining Structures
Example Strip Footing
For the strip footing shown the applied
loads PD and PL include the weight of the
wall Determine the maximum factored
net pressure
13
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Foundations and Retaining Structures
Example Strip Footing
12 16
kips kips12 20 16 10
ft ft
40 kips ft
40 ft-kips ftft-kips
40ft 1 ft
kips40
ft
u D L
u
P P P
M
M e
P
2
61
6 1kips40 1
ft 12 ft
1 ft 12 ft
5 kips ft max
e P
Lq BL
12 ft2 ft6 6
L
6
Le Since
14
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing Critical Sections
c width of wall
d effective depth of footing
h depth of footing
nomenclature
15
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Structural Engineering Review Course Foundations and Retaining Structures
copy 2016 Professional Publications Inc 16
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Foundations and Retaining Structures
Strip Footing Critical Sections
Figure 22
Critical
Sections
for
Flexure
and
Shear
16
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing
flexure shear design
same as for reinforced concrete beams per ACI 318 Sec 112
flexure design
same as for reinforced concrete beams per ACI 318 Sec 102 with exceptions
bull ρmin = 00018 [for grade 60 bars]
bull main reinforcement smax ge max [18 in 3h]
bull main reinforcement Oslash development length le anchorage length
bull distributed reinforcement smax ge max [18 in 5h]
17
l d d
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Foundations and Retaining Structures
Example Strip FootingExample
23
18
St t l E i i R i C F d ti d R t i i St t
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Foundations and Retaining Structures
Example Strip Footing
19
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
20
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
21
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details
bull maximum spacing
bull principal reinforcement
s = 3h le 18 in
bull distribution reinforcement
s = 5h le 18 in
bull minimum clear spacing between
parallel bars in a layer
bull minimum reinforcement ratio for
distribution steel
22
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details (continued)
minimum cover
bull cast against earth = 3 in
bull exposed to earth or weather
bull 15 in for bars le no 5
bull 2 in for bars gt no 5
23
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g g g
copy 2016 Professional Publications Inc 24
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
24
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
Solution
Detailing requirements are different for
beams and footings More space is
allowed between reinforcement for
footings so option A is true More cover
is needed for footings than beams so
option B is false
The answer is (A)
25
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Foundations and Retaining Structures
Isolated Column with Square Footing
bo length of the critical perimeter
β ratio of long side to short side
of column
s shear constant
nomenclature
26
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Foundations and Retaining Structures
Isolated Column with Square FootingFigure 23 Critical Perimeter
for
Punching
Shear
27
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for punching shear (continued)
bull shear strength
bull for square columns
bull when β gt 2
bull for bo gt 20d
bull where ACI Eq 11‐33
ACI Eq 11‐31
ACI Eq 11‐32
28
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Foundations and Retaining Structures
Isolated Column with Square Footing
design shear
axial load only
bull shear force
bull shear stress
bull axial and moment
bull max shear stress
29
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
Example 24
30
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
31
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for flexure shear and flexure
bull critical section
bull concrete and masonry (same as
strip footing)
bull steel (as shown)
bull capacity (same as strip footing)
Figure 24 Critical Sections for a Footing with Steel Base Plate
32
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Foundations and Retaining Structures
Example Isolated Column with Square FootingExample
25
33
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
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Example Combined Footing
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Example Combined Footing
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
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Foundations
and
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Structures
Example Strap Footing
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Foundations
and
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Structures
Example Strap Footing
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
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Foundations
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Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
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Structural Engineering Review Course Foundations and Retaining Structures
d d
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
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Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
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F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
11
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing
factored soil pressure
bull factored loads
bull force acting on footing (net pressure)
bull Self ‐weight of footing produces equal
and opposite soil pressure (cancels out and is not included in net pressure)
bull soil pressure due to applied wall load
only
bull
used to
determine
flexure
and
flexure
shear
12
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
For the strip footing shown the applied
loads PD and PL include the weight of the
wall Determine the maximum factored
net pressure
13
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Foundations and Retaining Structures
Example Strip Footing
12 16
kips kips12 20 16 10
ft ft
40 kips ft
40 ft-kips ftft-kips
40ft 1 ft
kips40
ft
u D L
u
P P P
M
M e
P
2
61
6 1kips40 1
ft 12 ft
1 ft 12 ft
5 kips ft max
e P
Lq BL
12 ft2 ft6 6
L
6
Le Since
14
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing Critical Sections
c width of wall
d effective depth of footing
h depth of footing
nomenclature
15
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing Critical Sections
Figure 22
Critical
Sections
for
Flexure
and
Shear
16
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Foundations and Retaining Structures
Strip Footing
flexure shear design
same as for reinforced concrete beams per ACI 318 Sec 112
flexure design
same as for reinforced concrete beams per ACI 318 Sec 102 with exceptions
bull ρmin = 00018 [for grade 60 bars]
bull main reinforcement smax ge max [18 in 3h]
bull main reinforcement Oslash development length le anchorage length
bull distributed reinforcement smax ge max [18 in 5h]
17
l d d
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Foundations and Retaining Structures
Example Strip FootingExample
23
18
St t l E i i R i C F d ti d R t i i St t
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Foundations and Retaining Structures
Example Strip Footing
19
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
20
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Foundations and Retaining Structures
Example Strip Footing
21
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details
bull maximum spacing
bull principal reinforcement
s = 3h le 18 in
bull distribution reinforcement
s = 5h le 18 in
bull minimum clear spacing between
parallel bars in a layer
bull minimum reinforcement ratio for
distribution steel
22
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details (continued)
minimum cover
bull cast against earth = 3 in
bull exposed to earth or weather
bull 15 in for bars le no 5
bull 2 in for bars gt no 5
23
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g g g
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
24
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
Solution
Detailing requirements are different for
beams and footings More space is
allowed between reinforcement for
footings so option A is true More cover
is needed for footings than beams so
option B is false
The answer is (A)
25
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Foundations and Retaining Structures
Isolated Column with Square Footing
bo length of the critical perimeter
β ratio of long side to short side
of column
s shear constant
nomenclature
26
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Foundations and Retaining Structures
Isolated Column with Square FootingFigure 23 Critical Perimeter
for
Punching
Shear
27
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for punching shear (continued)
bull shear strength
bull for square columns
bull when β gt 2
bull for bo gt 20d
bull where ACI Eq 11‐33
ACI Eq 11‐31
ACI Eq 11‐32
28
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Foundations and Retaining Structures
Isolated Column with Square Footing
design shear
axial load only
bull shear force
bull shear stress
bull axial and moment
bull max shear stress
29
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
Example 24
30
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
31
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for flexure shear and flexure
bull critical section
bull concrete and masonry (same as
strip footing)
bull steel (as shown)
bull capacity (same as strip footing)
Figure 24 Critical Sections for a Footing with Steel Base Plate
32
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Foundations and Retaining Structures
Example Isolated Column with Square FootingExample
25
33
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
45
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
52
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
57
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
61
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
63
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
and
Retaining
Structures
Example Strap Footing
70
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Foundations
and
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Structures
Example Strap Footing
71
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
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F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
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Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
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Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Foundations and Retaining Structures
Strip Footing
factored soil pressure
bull factored loads
bull force acting on footing (net pressure)
bull Self ‐weight of footing produces equal
and opposite soil pressure (cancels out and is not included in net pressure)
bull soil pressure due to applied wall load
only
bull
used to
determine
flexure
and
flexure
shear
12
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Foundations and Retaining Structures
Example Strip Footing
For the strip footing shown the applied
loads PD and PL include the weight of the
wall Determine the maximum factored
net pressure
13
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Foundations and Retaining Structures
Example Strip Footing
12 16
kips kips12 20 16 10
ft ft
40 kips ft
40 ft-kips ftft-kips
40ft 1 ft
kips40
ft
u D L
u
P P P
M
M e
P
2
61
6 1kips40 1
ft 12 ft
1 ft 12 ft
5 kips ft max
e P
Lq BL
12 ft2 ft6 6
L
6
Le Since
14
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Foundations and Retaining Structures
Strip Footing Critical Sections
c width of wall
d effective depth of footing
h depth of footing
nomenclature
15
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Foundations and Retaining Structures
Strip Footing Critical Sections
Figure 22
Critical
Sections
for
Flexure
and
Shear
16
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Foundations and Retaining Structures
Strip Footing
flexure shear design
same as for reinforced concrete beams per ACI 318 Sec 112
flexure design
same as for reinforced concrete beams per ACI 318 Sec 102 with exceptions
bull ρmin = 00018 [for grade 60 bars]
bull main reinforcement smax ge max [18 in 3h]
bull main reinforcement Oslash development length le anchorage length
bull distributed reinforcement smax ge max [18 in 5h]
17
l d d
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Foundations and Retaining Structures
Example Strip FootingExample
23
18
St t l E i i R i C F d ti d R t i i St t
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Foundations and Retaining Structures
Example Strip Footing
19
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Foundations and Retaining Structures
Example Strip Footing
20
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Foundations and Retaining Structures
Example Strip Footing
21
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details
bull maximum spacing
bull principal reinforcement
s = 3h le 18 in
bull distribution reinforcement
s = 5h le 18 in
bull minimum clear spacing between
parallel bars in a layer
bull minimum reinforcement ratio for
distribution steel
22
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details (continued)
minimum cover
bull cast against earth = 3 in
bull exposed to earth or weather
bull 15 in for bars le no 5
bull 2 in for bars gt no 5
23
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g g g
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
24
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
Solution
Detailing requirements are different for
beams and footings More space is
allowed between reinforcement for
footings so option A is true More cover
is needed for footings than beams so
option B is false
The answer is (A)
25
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Foundations and Retaining Structures
Isolated Column with Square Footing
bo length of the critical perimeter
β ratio of long side to short side
of column
s shear constant
nomenclature
26
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Foundations and Retaining Structures
Isolated Column with Square FootingFigure 23 Critical Perimeter
for
Punching
Shear
27
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for punching shear (continued)
bull shear strength
bull for square columns
bull when β gt 2
bull for bo gt 20d
bull where ACI Eq 11‐33
ACI Eq 11‐31
ACI Eq 11‐32
28
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Foundations and Retaining Structures
Isolated Column with Square Footing
design shear
axial load only
bull shear force
bull shear stress
bull axial and moment
bull max shear stress
29
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
Example 24
30
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for flexure shear and flexure
bull critical section
bull concrete and masonry (same as
strip footing)
bull steel (as shown)
bull capacity (same as strip footing)
Figure 24 Critical Sections for a Footing with Steel Base Plate
32
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Foundations and Retaining Structures
Example Isolated Column with Square FootingExample
25
33
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
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Retaining
Structures
Example Strap Footing
70
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Foundations
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Structures
Example Strap Footing
71
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
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Foundations
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Structures
Example Cantilever Retaining Wall
83
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Foundations
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Structures
Example Cantilever Retaining Wall
85
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d d
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
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F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
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Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
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Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Foundations and Retaining Structures
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Example Counterfort Retaining Wall
101
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Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Foundations and Retaining Structures
Example Strip Footing
For the strip footing shown the applied
loads PD and PL include the weight of the
wall Determine the maximum factored
net pressure
13
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Foundations and Retaining Structures
Example Strip Footing
12 16
kips kips12 20 16 10
ft ft
40 kips ft
40 ft-kips ftft-kips
40ft 1 ft
kips40
ft
u D L
u
P P P
M
M e
P
2
61
6 1kips40 1
ft 12 ft
1 ft 12 ft
5 kips ft max
e P
Lq BL
12 ft2 ft6 6
L
6
Le Since
14
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Foundations and Retaining Structures
Strip Footing Critical Sections
c width of wall
d effective depth of footing
h depth of footing
nomenclature
15
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Foundations and Retaining Structures
Strip Footing Critical Sections
Figure 22
Critical
Sections
for
Flexure
and
Shear
16
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Foundations and Retaining Structures
Strip Footing
flexure shear design
same as for reinforced concrete beams per ACI 318 Sec 112
flexure design
same as for reinforced concrete beams per ACI 318 Sec 102 with exceptions
bull ρmin = 00018 [for grade 60 bars]
bull main reinforcement smax ge max [18 in 3h]
bull main reinforcement Oslash development length le anchorage length
bull distributed reinforcement smax ge max [18 in 5h]
17
l d d
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip FootingExample
23
18
St t l E i i R i C F d ti d R t i i St t
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
19
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
20
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
21
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details
bull maximum spacing
bull principal reinforcement
s = 3h le 18 in
bull distribution reinforcement
s = 5h le 18 in
bull minimum clear spacing between
parallel bars in a layer
bull minimum reinforcement ratio for
distribution steel
22
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details (continued)
minimum cover
bull cast against earth = 3 in
bull exposed to earth or weather
bull 15 in for bars le no 5
bull 2 in for bars gt no 5
23
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g g g
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
24
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
Solution
Detailing requirements are different for
beams and footings More space is
allowed between reinforcement for
footings so option A is true More cover
is needed for footings than beams so
option B is false
The answer is (A)
25
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Foundations and Retaining Structures
Isolated Column with Square Footing
bo length of the critical perimeter
β ratio of long side to short side
of column
s shear constant
nomenclature
26
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Foundations and Retaining Structures
Isolated Column with Square FootingFigure 23 Critical Perimeter
for
Punching
Shear
27
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for punching shear (continued)
bull shear strength
bull for square columns
bull when β gt 2
bull for bo gt 20d
bull where ACI Eq 11‐33
ACI Eq 11‐31
ACI Eq 11‐32
28
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Foundations and Retaining Structures
Isolated Column with Square Footing
design shear
axial load only
bull shear force
bull shear stress
bull axial and moment
bull max shear stress
29
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
Example 24
30
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for flexure shear and flexure
bull critical section
bull concrete and masonry (same as
strip footing)
bull steel (as shown)
bull capacity (same as strip footing)
Figure 24 Critical Sections for a Footing with Steel Base Plate
32
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Foundations and Retaining Structures
Example Isolated Column with Square FootingExample
25
33
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
52
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
57
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
61
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
63
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
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Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
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Structures
Example Strap Footing
70
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Foundations
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Structures
Example Strap Footing
71
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
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Foundations
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Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
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Retaining
Structures
Example Cantilever Retaining WallExample 216
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Foundations
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Structures
Example Cantilever Retaining Wall
83
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Structures
Example Cantilever Retaining Wall
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d d
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
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Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
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F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
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Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
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Foundations and Retaining Structures
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Foundations
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Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Foundations and Retaining Structures
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Foundations
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Structures
Example Counterfort Retaining WallExample
218
95
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Foundations and Retaining Structures
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Example Counterfort Retaining Wall
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
12 16
kips kips12 20 16 10
ft ft
40 kips ft
40 ft-kips ftft-kips
40ft 1 ft
kips40
ft
u D L
u
P P P
M
M e
P
2
61
6 1kips40 1
ft 12 ft
1 ft 12 ft
5 kips ft max
e P
Lq BL
12 ft2 ft6 6
L
6
Le Since
14
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing Critical Sections
c width of wall
d effective depth of footing
h depth of footing
nomenclature
15
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing Critical Sections
Figure 22
Critical
Sections
for
Flexure
and
Shear
16
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing
flexure shear design
same as for reinforced concrete beams per ACI 318 Sec 112
flexure design
same as for reinforced concrete beams per ACI 318 Sec 102 with exceptions
bull ρmin = 00018 [for grade 60 bars]
bull main reinforcement smax ge max [18 in 3h]
bull main reinforcement Oslash development length le anchorage length
bull distributed reinforcement smax ge max [18 in 5h]
17
l d d
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip FootingExample
23
18
St t l E i i R i C F d ti d R t i i St t
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
19
Structural Engineering Review Course Foundations and Retaining Structures
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
20
Structural Engineering Review Course Foundations and Retaining Structures
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
21
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details
bull maximum spacing
bull principal reinforcement
s = 3h le 18 in
bull distribution reinforcement
s = 5h le 18 in
bull minimum clear spacing between
parallel bars in a layer
bull minimum reinforcement ratio for
distribution steel
22
Structural Engineering Review Course Foundations and Retaining Structures
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details (continued)
minimum cover
bull cast against earth = 3 in
bull exposed to earth or weather
bull 15 in for bars le no 5
bull 2 in for bars gt no 5
23
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g g g
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
24
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
Solution
Detailing requirements are different for
beams and footings More space is
allowed between reinforcement for
footings so option A is true More cover
is needed for footings than beams so
option B is false
The answer is (A)
25
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Foundations and Retaining Structures
Isolated Column with Square Footing
bo length of the critical perimeter
β ratio of long side to short side
of column
s shear constant
nomenclature
26
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Foundations and Retaining Structures
Isolated Column with Square FootingFigure 23 Critical Perimeter
for
Punching
Shear
27
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for punching shear (continued)
bull shear strength
bull for square columns
bull when β gt 2
bull for bo gt 20d
bull where ACI Eq 11‐33
ACI Eq 11‐31
ACI Eq 11‐32
28
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Foundations and Retaining Structures
Isolated Column with Square Footing
design shear
axial load only
bull shear force
bull shear stress
bull axial and moment
bull max shear stress
29
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
Example 24
30
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
31
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for flexure shear and flexure
bull critical section
bull concrete and masonry (same as
strip footing)
bull steel (as shown)
bull capacity (same as strip footing)
Figure 24 Critical Sections for a Footing with Steel Base Plate
32
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Foundations and Retaining Structures
Example Isolated Column with Square FootingExample
25
33
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
45
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
52
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
55
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Foundations and Retaining Structures
Example Combined Footing
56
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Foundations and Retaining Structures
Example Combined Footing
57
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
61
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Foundations and Retaining Structures
Example Combined Footing
62
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Foundations and Retaining Structures
Example Combined Footing
63
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7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
and
Retaining
Structures
Example Strap Footing
70
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Foundations
and
Retaining
Structures
Example Strap Footing
71
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
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Foundations
and
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Structures
Example Cantilever Retaining Wall
83
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Foundations
and
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Structures
Example Cantilever Retaining Wall
85
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d d
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
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F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
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Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Example Counterfort Retaining Wall
101
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Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing Critical Sections
c width of wall
d effective depth of footing
h depth of footing
nomenclature
15
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing Critical Sections
Figure 22
Critical
Sections
for
Flexure
and
Shear
16
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing
flexure shear design
same as for reinforced concrete beams per ACI 318 Sec 112
flexure design
same as for reinforced concrete beams per ACI 318 Sec 102 with exceptions
bull ρmin = 00018 [for grade 60 bars]
bull main reinforcement smax ge max [18 in 3h]
bull main reinforcement Oslash development length le anchorage length
bull distributed reinforcement smax ge max [18 in 5h]
17
l d d
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Foundations and Retaining Structures
Example Strip FootingExample
23
18
St t l E i i R i C F d ti d R t i i St t
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
19
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
20
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
21
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details
bull maximum spacing
bull principal reinforcement
s = 3h le 18 in
bull distribution reinforcement
s = 5h le 18 in
bull minimum clear spacing between
parallel bars in a layer
bull minimum reinforcement ratio for
distribution steel
22
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details (continued)
minimum cover
bull cast against earth = 3 in
bull exposed to earth or weather
bull 15 in for bars le no 5
bull 2 in for bars gt no 5
23
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g g g
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
24
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
Solution
Detailing requirements are different for
beams and footings More space is
allowed between reinforcement for
footings so option A is true More cover
is needed for footings than beams so
option B is false
The answer is (A)
25
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Foundations and Retaining Structures
Isolated Column with Square Footing
bo length of the critical perimeter
β ratio of long side to short side
of column
s shear constant
nomenclature
26
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Foundations and Retaining Structures
Isolated Column with Square FootingFigure 23 Critical Perimeter
for
Punching
Shear
27
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for punching shear (continued)
bull shear strength
bull for square columns
bull when β gt 2
bull for bo gt 20d
bull where ACI Eq 11‐33
ACI Eq 11‐31
ACI Eq 11‐32
28
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Foundations and Retaining Structures
Isolated Column with Square Footing
design shear
axial load only
bull shear force
bull shear stress
bull axial and moment
bull max shear stress
29
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
Example 24
30
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for flexure shear and flexure
bull critical section
bull concrete and masonry (same as
strip footing)
bull steel (as shown)
bull capacity (same as strip footing)
Figure 24 Critical Sections for a Footing with Steel Base Plate
32
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Foundations and Retaining Structures
Example Isolated Column with Square FootingExample
25
33
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
45
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
52
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
56
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Foundations and Retaining Structures
Example Combined Footing
57
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
61
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
63
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
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Foundations
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Retaining
Structures
Example Strap Footing
70
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Foundations
and
Retaining
Structures
Example Strap Footing
71
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
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Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Example Counterfort Retaining Wall
101
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Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing Critical Sections
Figure 22
Critical
Sections
for
Flexure
and
Shear
16
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Foundations and Retaining Structures
Strip Footing
flexure shear design
same as for reinforced concrete beams per ACI 318 Sec 112
flexure design
same as for reinforced concrete beams per ACI 318 Sec 102 with exceptions
bull ρmin = 00018 [for grade 60 bars]
bull main reinforcement smax ge max [18 in 3h]
bull main reinforcement Oslash development length le anchorage length
bull distributed reinforcement smax ge max [18 in 5h]
17
l d d
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Foundations and Retaining Structures
Example Strip FootingExample
23
18
St t l E i i R i C F d ti d R t i i St t
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Foundations and Retaining Structures
Example Strip Footing
19
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
20
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
21
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details
bull maximum spacing
bull principal reinforcement
s = 3h le 18 in
bull distribution reinforcement
s = 5h le 18 in
bull minimum clear spacing between
parallel bars in a layer
bull minimum reinforcement ratio for
distribution steel
22
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details (continued)
minimum cover
bull cast against earth = 3 in
bull exposed to earth or weather
bull 15 in for bars le no 5
bull 2 in for bars gt no 5
23
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g g g
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
24
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
Solution
Detailing requirements are different for
beams and footings More space is
allowed between reinforcement for
footings so option A is true More cover
is needed for footings than beams so
option B is false
The answer is (A)
25
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Foundations and Retaining Structures
Isolated Column with Square Footing
bo length of the critical perimeter
β ratio of long side to short side
of column
s shear constant
nomenclature
26
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Foundations and Retaining Structures
Isolated Column with Square FootingFigure 23 Critical Perimeter
for
Punching
Shear
27
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for punching shear (continued)
bull shear strength
bull for square columns
bull when β gt 2
bull for bo gt 20d
bull where ACI Eq 11‐33
ACI Eq 11‐31
ACI Eq 11‐32
28
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Foundations and Retaining Structures
Isolated Column with Square Footing
design shear
axial load only
bull shear force
bull shear stress
bull axial and moment
bull max shear stress
29
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
Example 24
30
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for flexure shear and flexure
bull critical section
bull concrete and masonry (same as
strip footing)
bull steel (as shown)
bull capacity (same as strip footing)
Figure 24 Critical Sections for a Footing with Steel Base Plate
32
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Foundations and Retaining Structures
Example Isolated Column with Square FootingExample
25
33
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
45
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
and
Retaining
Structures
Example Strap Footing
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Foundations
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Structures
Example Strap Footing
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
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Structural Engineering Review Course Foundations and Retaining Structures
d d
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
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F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
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Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Example Counterfort Retaining Wall
101
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Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Strip Footing
flexure shear design
same as for reinforced concrete beams per ACI 318 Sec 112
flexure design
same as for reinforced concrete beams per ACI 318 Sec 102 with exceptions
bull ρmin = 00018 [for grade 60 bars]
bull main reinforcement smax ge max [18 in 3h]
bull main reinforcement Oslash development length le anchorage length
bull distributed reinforcement smax ge max [18 in 5h]
17
l d d
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Foundations and Retaining Structures
Example Strip FootingExample
23
18
St t l E i i R i C F d ti d R t i i St t
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Foundations and Retaining Structures
Example Strip Footing
19
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
20
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
21
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Structural Engineering Review Course Foundations and Retaining Structures
copy 2016 Professional Publications Inc 22
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details
bull maximum spacing
bull principal reinforcement
s = 3h le 18 in
bull distribution reinforcement
s = 5h le 18 in
bull minimum clear spacing between
parallel bars in a layer
bull minimum reinforcement ratio for
distribution steel
22
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details (continued)
minimum cover
bull cast against earth = 3 in
bull exposed to earth or weather
bull 15 in for bars le no 5
bull 2 in for bars gt no 5
23
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g g g
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
24
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
Solution
Detailing requirements are different for
beams and footings More space is
allowed between reinforcement for
footings so option A is true More cover
is needed for footings than beams so
option B is false
The answer is (A)
25
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Foundations and Retaining Structures
Isolated Column with Square Footing
bo length of the critical perimeter
β ratio of long side to short side
of column
s shear constant
nomenclature
26
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Foundations and Retaining Structures
Isolated Column with Square FootingFigure 23 Critical Perimeter
for
Punching
Shear
27
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for punching shear (continued)
bull shear strength
bull for square columns
bull when β gt 2
bull for bo gt 20d
bull where ACI Eq 11‐33
ACI Eq 11‐31
ACI Eq 11‐32
28
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Foundations and Retaining Structures
Isolated Column with Square Footing
design shear
axial load only
bull shear force
bull shear stress
bull axial and moment
bull max shear stress
29
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
Example 24
30
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
31
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for flexure shear and flexure
bull critical section
bull concrete and masonry (same as
strip footing)
bull steel (as shown)
bull capacity (same as strip footing)
Figure 24 Critical Sections for a Footing with Steel Base Plate
32
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Foundations and Retaining Structures
Example Isolated Column with Square FootingExample
25
33
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
45
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
61
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
and
Retaining
Structures
Example Strap Footing
70
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Foundations
and
Retaining
Structures
Example Strap Footing
71
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
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Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Structural Engineering Review Course Foundations and Retaining Structures
copy 2016 Professional Publications Inc 18
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Foundations and Retaining Structures
Example Strip FootingExample
23
18
St t l E i i R i C F d ti d R t i i St t
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Foundations and Retaining Structures
Example Strip Footing
19
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
20
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
21
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Structural Engineering Review Course Foundations and Retaining Structures
copy 2016 Professional Publications Inc 22
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details
bull maximum spacing
bull principal reinforcement
s = 3h le 18 in
bull distribution reinforcement
s = 5h le 18 in
bull minimum clear spacing between
parallel bars in a layer
bull minimum reinforcement ratio for
distribution steel
22
Structural Engineering Review Course Foundations and Retaining Structures
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details (continued)
minimum cover
bull cast against earth = 3 in
bull exposed to earth or weather
bull 15 in for bars le no 5
bull 2 in for bars gt no 5
23
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g g g
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
24
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
Solution
Detailing requirements are different for
beams and footings More space is
allowed between reinforcement for
footings so option A is true More cover
is needed for footings than beams so
option B is false
The answer is (A)
25
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Foundations and Retaining Structures
Isolated Column with Square Footing
bo length of the critical perimeter
β ratio of long side to short side
of column
s shear constant
nomenclature
26
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Foundations and Retaining Structures
Isolated Column with Square FootingFigure 23 Critical Perimeter
for
Punching
Shear
27
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for punching shear (continued)
bull shear strength
bull for square columns
bull when β gt 2
bull for bo gt 20d
bull where ACI Eq 11‐33
ACI Eq 11‐31
ACI Eq 11‐32
28
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Foundations and Retaining Structures
Isolated Column with Square Footing
design shear
axial load only
bull shear force
bull shear stress
bull axial and moment
bull max shear stress
29
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
Example 24
30
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
31
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for flexure shear and flexure
bull critical section
bull concrete and masonry (same as
strip footing)
bull steel (as shown)
bull capacity (same as strip footing)
Figure 24 Critical Sections for a Footing with Steel Base Plate
32
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Foundations and Retaining Structures
Example Isolated Column with Square FootingExample
25
33
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
45
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
55
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
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Foundations
and
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Structures
Example Strap Footing
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Foundations
and
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Structures
Example Strap Footing
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
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Foundations
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Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
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Structural Engineering Review Course Foundations and Retaining Structures
d d
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
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F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
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Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
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Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Foundations and Retaining Structures
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Example Counterfort Retaining Wall
101
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Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Foundations and Retaining Structures
Example Strip Footing
19
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Foundations and Retaining Structures
Example Strip Footing
20
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Foundations and Retaining Structures
Example Strip Footing
21
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details
bull maximum spacing
bull principal reinforcement
s = 3h le 18 in
bull distribution reinforcement
s = 5h le 18 in
bull minimum clear spacing between
parallel bars in a layer
bull minimum reinforcement ratio for
distribution steel
22
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details (continued)
minimum cover
bull cast against earth = 3 in
bull exposed to earth or weather
bull 15 in for bars le no 5
bull 2 in for bars gt no 5
23
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g g g
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
24
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
Solution
Detailing requirements are different for
beams and footings More space is
allowed between reinforcement for
footings so option A is true More cover
is needed for footings than beams so
option B is false
The answer is (A)
25
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Foundations and Retaining Structures
Isolated Column with Square Footing
bo length of the critical perimeter
β ratio of long side to short side
of column
s shear constant
nomenclature
26
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Foundations and Retaining Structures
Isolated Column with Square FootingFigure 23 Critical Perimeter
for
Punching
Shear
27
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for punching shear (continued)
bull shear strength
bull for square columns
bull when β gt 2
bull for bo gt 20d
bull where ACI Eq 11‐33
ACI Eq 11‐31
ACI Eq 11‐32
28
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Foundations and Retaining Structures
Isolated Column with Square Footing
design shear
axial load only
bull shear force
bull shear stress
bull axial and moment
bull max shear stress
29
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
Example 24
30
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for flexure shear and flexure
bull critical section
bull concrete and masonry (same as
strip footing)
bull steel (as shown)
bull capacity (same as strip footing)
Figure 24 Critical Sections for a Footing with Steel Base Plate
32
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Foundations and Retaining Structures
Example Isolated Column with Square FootingExample
25
33
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
45
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
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Foundations and Retaining Structures
Example Combined FootingExample
212
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Foundations and Retaining Structures
Example Combined Footing
61
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Foundations and Retaining Structures
Example Combined Footing
62
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Foundations and Retaining Structures
Example Combined Footing
63
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
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Foundations
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Structures
Example Strap Footing
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Foundations
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Structures
Example Strap Footing
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
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F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
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Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Foundations and Retaining Structures
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Example Counterfort Retaining Wall
101
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Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Foundations and Retaining Structures
Example Strip Footing
20
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Strip Footing
21
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Structural Engineering Review Course Foundations and Retaining Structures
copy 2016 Professional Publications Inc 22
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details
bull maximum spacing
bull principal reinforcement
s = 3h le 18 in
bull distribution reinforcement
s = 5h le 18 in
bull minimum clear spacing between
parallel bars in a layer
bull minimum reinforcement ratio for
distribution steel
22
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details (continued)
minimum cover
bull cast against earth = 3 in
bull exposed to earth or weather
bull 15 in for bars le no 5
bull 2 in for bars gt no 5
23
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g g g
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
24
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
Solution
Detailing requirements are different for
beams and footings More space is
allowed between reinforcement for
footings so option A is true More cover
is needed for footings than beams so
option B is false
The answer is (A)
25
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Foundations and Retaining Structures
Isolated Column with Square Footing
bo length of the critical perimeter
β ratio of long side to short side
of column
s shear constant
nomenclature
26
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Foundations and Retaining Structures
Isolated Column with Square FootingFigure 23 Critical Perimeter
for
Punching
Shear
27
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for punching shear (continued)
bull shear strength
bull for square columns
bull when β gt 2
bull for bo gt 20d
bull where ACI Eq 11‐33
ACI Eq 11‐31
ACI Eq 11‐32
28
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Foundations and Retaining Structures
Isolated Column with Square Footing
design shear
axial load only
bull shear force
bull shear stress
bull axial and moment
bull max shear stress
29
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
Example 24
30
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for flexure shear and flexure
bull critical section
bull concrete and masonry (same as
strip footing)
bull steel (as shown)
bull capacity (same as strip footing)
Figure 24 Critical Sections for a Footing with Steel Base Plate
32
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Foundations and Retaining Structures
Example Isolated Column with Square FootingExample
25
33
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
45
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
52
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
57
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
61
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Foundations and Retaining Structures
Example Combined Footing
62
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Foundations and Retaining Structures
Example Combined Footing
63
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
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Foundations
and
Retaining
Structures
Example Strap Footing
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Foundations
and
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Structures
Example Strap Footing
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
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Structural Engineering Review Course Foundations and Retaining Structures
d d
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
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F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
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Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Foundations and Retaining Structures
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Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Foundations and Retaining Structures
Example Strip Footing
21
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details
bull maximum spacing
bull principal reinforcement
s = 3h le 18 in
bull distribution reinforcement
s = 5h le 18 in
bull minimum clear spacing between
parallel bars in a layer
bull minimum reinforcement ratio for
distribution steel
22
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details (continued)
minimum cover
bull cast against earth = 3 in
bull exposed to earth or weather
bull 15 in for bars le no 5
bull 2 in for bars gt no 5
23
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g g g
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
24
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
Solution
Detailing requirements are different for
beams and footings More space is
allowed between reinforcement for
footings so option A is true More cover
is needed for footings than beams so
option B is false
The answer is (A)
25
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Foundations and Retaining Structures
Isolated Column with Square Footing
bo length of the critical perimeter
β ratio of long side to short side
of column
s shear constant
nomenclature
26
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Foundations and Retaining Structures
Isolated Column with Square FootingFigure 23 Critical Perimeter
for
Punching
Shear
27
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for punching shear (continued)
bull shear strength
bull for square columns
bull when β gt 2
bull for bo gt 20d
bull where ACI Eq 11‐33
ACI Eq 11‐31
ACI Eq 11‐32
28
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Foundations and Retaining Structures
Isolated Column with Square Footing
design shear
axial load only
bull shear force
bull shear stress
bull axial and moment
bull max shear stress
29
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
Example 24
30
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for flexure shear and flexure
bull critical section
bull concrete and masonry (same as
strip footing)
bull steel (as shown)
bull capacity (same as strip footing)
Figure 24 Critical Sections for a Footing with Steel Base Plate
32
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Foundations and Retaining Structures
Example Isolated Column with Square FootingExample
25
33
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
45
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
52
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Foundations and Retaining Structures
Example Combined FootingExample
210
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
61
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
63
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
and
Retaining
Structures
Example Strap Footing
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Foundations
and
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Structures
Example Strap Footing
71
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
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Foundations
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Retaining
Structures
Example Cantilever Retaining Wall
85
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Structural Engineering Review Course Foundations and Retaining Structures
d d
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
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F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
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Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
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Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Foundations and Retaining Structures
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Example Counterfort Retaining Wall
101
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Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details
bull maximum spacing
bull principal reinforcement
s = 3h le 18 in
bull distribution reinforcement
s = 5h le 18 in
bull minimum clear spacing between
parallel bars in a layer
bull minimum reinforcement ratio for
distribution steel
22
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details (continued)
minimum cover
bull cast against earth = 3 in
bull exposed to earth or weather
bull 15 in for bars le no 5
bull 2 in for bars gt no 5
23
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g g g
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
24
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
Solution
Detailing requirements are different for
beams and footings More space is
allowed between reinforcement for
footings so option A is true More cover
is needed for footings than beams so
option B is false
The answer is (A)
25
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Foundations and Retaining Structures
Isolated Column with Square Footing
bo length of the critical perimeter
β ratio of long side to short side
of column
s shear constant
nomenclature
26
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Foundations and Retaining Structures
Isolated Column with Square FootingFigure 23 Critical Perimeter
for
Punching
Shear
27
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for punching shear (continued)
bull shear strength
bull for square columns
bull when β gt 2
bull for bo gt 20d
bull where ACI Eq 11‐33
ACI Eq 11‐31
ACI Eq 11‐32
28
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Foundations and Retaining Structures
Isolated Column with Square Footing
design shear
axial load only
bull shear force
bull shear stress
bull axial and moment
bull max shear stress
29
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
Example 24
30
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for flexure shear and flexure
bull critical section
bull concrete and masonry (same as
strip footing)
bull steel (as shown)
bull capacity (same as strip footing)
Figure 24 Critical Sections for a Footing with Steel Base Plate
32
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Foundations and Retaining Structures
Example Isolated Column with Square FootingExample
25
33
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
52
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
57
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
61
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Foundations and Retaining Structures
Example Combined Footing
62
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Foundations and Retaining Structures
Example Combined Footing
63
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
and
Retaining
Structures
Example Strap Footing
70
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Foundations
and
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Structures
Example Strap Footing
71
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
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Structural Engineering Review Course Foundations and Retaining Structures
d d
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
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Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Foundations and Retaining Structures
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Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Foundations and Retaining Structures
Isolated Column with Square Footing
reinforcement details (continued)
minimum cover
bull cast against earth = 3 in
bull exposed to earth or weather
bull 15 in for bars le no 5
bull 2 in for bars gt no 5
23
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g g g
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
24
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
Solution
Detailing requirements are different for
beams and footings More space is
allowed between reinforcement for
footings so option A is true More cover
is needed for footings than beams so
option B is false
The answer is (A)
25
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Foundations and Retaining Structures
Isolated Column with Square Footing
bo length of the critical perimeter
β ratio of long side to short side
of column
s shear constant
nomenclature
26
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Foundations and Retaining Structures
Isolated Column with Square FootingFigure 23 Critical Perimeter
for
Punching
Shear
27
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for punching shear (continued)
bull shear strength
bull for square columns
bull when β gt 2
bull for bo gt 20d
bull where ACI Eq 11‐33
ACI Eq 11‐31
ACI Eq 11‐32
28
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Foundations and Retaining Structures
Isolated Column with Square Footing
design shear
axial load only
bull shear force
bull shear stress
bull axial and moment
bull max shear stress
29
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
Example 24
30
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for flexure shear and flexure
bull critical section
bull concrete and masonry (same as
strip footing)
bull steel (as shown)
bull capacity (same as strip footing)
Figure 24 Critical Sections for a Footing with Steel Base Plate
32
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Foundations and Retaining Structures
Example Isolated Column with Square FootingExample
25
33
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
52
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
61
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Foundations and Retaining Structures
Example Combined Footing
62
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Foundations and Retaining Structures
Example Combined Footing
63
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
and
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Structures
Example Strap Footing
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Foundations
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Structures
Example Strap Footing
71
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
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Foundations
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Retaining
Structures
Example Cantilever Retaining Wall
83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
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Structural Engineering Review Course Foundations and Retaining Structures
d d
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
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Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Foundations and Retaining Structures
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Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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g g g
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
24
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
Solution
Detailing requirements are different for
beams and footings More space is
allowed between reinforcement for
footings so option A is true More cover
is needed for footings than beams so
option B is false
The answer is (A)
25
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Foundations and Retaining Structures
Isolated Column with Square Footing
bo length of the critical perimeter
β ratio of long side to short side
of column
s shear constant
nomenclature
26
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Foundations and Retaining Structures
Isolated Column with Square FootingFigure 23 Critical Perimeter
for
Punching
Shear
27
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for punching shear (continued)
bull shear strength
bull for square columns
bull when β gt 2
bull for bo gt 20d
bull where ACI Eq 11‐33
ACI Eq 11‐31
ACI Eq 11‐32
28
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Foundations and Retaining Structures
Isolated Column with Square Footing
design shear
axial load only
bull shear force
bull shear stress
bull axial and moment
bull max shear stress
29
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
Example 24
30
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
31
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for flexure shear and flexure
bull critical section
bull concrete and masonry (same as
strip footing)
bull steel (as shown)
bull capacity (same as strip footing)
Figure 24 Critical Sections for a Footing with Steel Base Plate
32
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Foundations and Retaining Structures
Example Isolated Column with Square FootingExample
25
33
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
45
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
52
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
55
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Foundations and Retaining Structures
Example Combined Footing
56
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Foundations and Retaining Structures
Example Combined Footing
57
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
61
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
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Structures
Example Strap Footing
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Foundations
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Structures
Example Strap Footing
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
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Foundations
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Structures
Example Cantilever Retaining Wall
83
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Foundations
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Structures
Example Cantilever Retaining Wall
85
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Structural Engineering Review Course Foundations and Retaining Structures
d d
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
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Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
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Foundations and Retaining Structures
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Foundations
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Retaining
Structures
Example Counterfort Retaining Wall
96
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
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Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Foundations and Retaining Structures
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Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Foundations and Retaining Structures
Poll Isolated Column with Square Footing
Which of the following is true about the
reinforcement detailing requirements of
concrete beams and footings
(A) The maximum spacing of
reinforcement for concrete beams is
smaller than for footings
(B) The minimum cover for footings is less
than that of reinforced concrete beams
Solution
Detailing requirements are different for
beams and footings More space is
allowed between reinforcement for
footings so option A is true More cover
is needed for footings than beams so
option B is false
The answer is (A)
25
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Foundations and Retaining Structures
Isolated Column with Square Footing
bo length of the critical perimeter
β ratio of long side to short side
of column
s shear constant
nomenclature
26
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Foundations and Retaining Structures
Isolated Column with Square FootingFigure 23 Critical Perimeter
for
Punching
Shear
27
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for punching shear (continued)
bull shear strength
bull for square columns
bull when β gt 2
bull for bo gt 20d
bull where ACI Eq 11‐33
ACI Eq 11‐31
ACI Eq 11‐32
28
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Foundations and Retaining Structures
Isolated Column with Square Footing
design shear
axial load only
bull shear force
bull shear stress
bull axial and moment
bull max shear stress
29
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
Example 24
30
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
31
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for flexure shear and flexure
bull critical section
bull concrete and masonry (same as
strip footing)
bull steel (as shown)
bull capacity (same as strip footing)
Figure 24 Critical Sections for a Footing with Steel Base Plate
32
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Foundations and Retaining Structures
Example Isolated Column with Square FootingExample
25
33
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
45
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
52
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
55
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
57
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
61
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
63
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
and
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Structures
Example Strap Footing
70
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Foundations
and
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Structures
Example Strap Footing
71
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
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Foundations
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Retaining
Structures
Example Cantilever Retaining Wall
83
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Foundations
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Structures
Example Cantilever Retaining Wall
85
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Structural Engineering Review Course Foundations and Retaining Structures
d d
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
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F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
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Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Foundations and Retaining Structures
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Example Counterfort Retaining Wall
101
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Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Foundations and Retaining Structures
Isolated Column with Square Footing
bo length of the critical perimeter
β ratio of long side to short side
of column
s shear constant
nomenclature
26
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Foundations and Retaining Structures
Isolated Column with Square FootingFigure 23 Critical Perimeter
for
Punching
Shear
27
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for punching shear (continued)
bull shear strength
bull for square columns
bull when β gt 2
bull for bo gt 20d
bull where ACI Eq 11‐33
ACI Eq 11‐31
ACI Eq 11‐32
28
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Foundations and Retaining Structures
Isolated Column with Square Footing
design shear
axial load only
bull shear force
bull shear stress
bull axial and moment
bull max shear stress
29
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
Example 24
30
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
31
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for flexure shear and flexure
bull critical section
bull concrete and masonry (same as
strip footing)
bull steel (as shown)
bull capacity (same as strip footing)
Figure 24 Critical Sections for a Footing with Steel Base Plate
32
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Foundations and Retaining Structures
Example Isolated Column with Square FootingExample
25
33
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
45
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
52
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
55
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
57
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
61
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
63
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
and
Retaining
Structures
Example Strap Footing
70
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Foundations
and
Retaining
Structures
Example Strap Footing
71
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
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Structural Engineering Review Course Foundations and Retaining Structures
d d
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
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F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
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Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Foundations and Retaining Structures
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Example Counterfort Retaining Wall
101
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Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Foundations and Retaining Structures
Isolated Column with Square FootingFigure 23 Critical Perimeter
for
Punching
Shear
27
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for punching shear (continued)
bull shear strength
bull for square columns
bull when β gt 2
bull for bo gt 20d
bull where ACI Eq 11‐33
ACI Eq 11‐31
ACI Eq 11‐32
28
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Foundations and Retaining Structures
Isolated Column with Square Footing
design shear
axial load only
bull shear force
bull shear stress
bull axial and moment
bull max shear stress
29
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
Example 24
30
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
31
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for flexure shear and flexure
bull critical section
bull concrete and masonry (same as
strip footing)
bull steel (as shown)
bull capacity (same as strip footing)
Figure 24 Critical Sections for a Footing with Steel Base Plate
32
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Foundations and Retaining Structures
Example Isolated Column with Square FootingExample
25
33
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
45
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
52
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
57
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
61
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
63
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
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Structures
Example Strap Footing
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Foundations
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Structures
Example Strap Footing
71
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
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Foundations
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Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
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Foundations
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Retaining
Structures
Example Cantilever Retaining Wall
85
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Structural Engineering Review Course Foundations and Retaining Structures
d d
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
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F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
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Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
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Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
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Foundations and Retaining Structures
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Foundations
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Retaining
Structures
Example Counterfort Retaining Wall
96
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
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Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Foundations and Retaining Structures
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Example Counterfort Retaining Wall
101
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Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for punching shear (continued)
bull shear strength
bull for square columns
bull when β gt 2
bull for bo gt 20d
bull where ACI Eq 11‐33
ACI Eq 11‐31
ACI Eq 11‐32
28
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Foundations and Retaining Structures
Isolated Column with Square Footing
design shear
axial load only
bull shear force
bull shear stress
bull axial and moment
bull max shear stress
29
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
Example 24
30
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for flexure shear and flexure
bull critical section
bull concrete and masonry (same as
strip footing)
bull steel (as shown)
bull capacity (same as strip footing)
Figure 24 Critical Sections for a Footing with Steel Base Plate
32
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Foundations and Retaining Structures
Example Isolated Column with Square FootingExample
25
33
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
45
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
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Foundations
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Structures
Example Strap Footing
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Foundations
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Example Strap Footing
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
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Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Example Counterfort Retaining Wall
101
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Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Foundations and Retaining Structures
Isolated Column with Square Footing
design shear
axial load only
bull shear force
bull shear stress
bull axial and moment
bull max shear stress
29
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
Example 24
30
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
31
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for flexure shear and flexure
bull critical section
bull concrete and masonry (same as
strip footing)
bull steel (as shown)
bull capacity (same as strip footing)
Figure 24 Critical Sections for a Footing with Steel Base Plate
32
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Foundations and Retaining Structures
Example Isolated Column with Square FootingExample
25
33
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
45
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
52
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
55
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Foundations and Retaining Structures
Example Combined Footing
56
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Foundations and Retaining Structures
Example Combined Footing
57
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
61
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Foundations and Retaining Structures
Example Combined Footing
62
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Foundations and Retaining Structures
Example Combined Footing
63
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
and
Retaining
Structures
Example Strap Footing
70
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Foundations
and
Retaining
Structures
Example Strap Footing
71
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
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Foundations
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Structures
Example Cantilever Retaining Wall
85
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d d
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
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F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
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Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
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Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Foundations and Retaining Structures
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Example Counterfort Retaining Wall
101
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Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
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Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
Example 24
30
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
31
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for flexure shear and flexure
bull critical section
bull concrete and masonry (same as
strip footing)
bull steel (as shown)
bull capacity (same as strip footing)
Figure 24 Critical Sections for a Footing with Steel Base Plate
32
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Foundations and Retaining Structures
Example Isolated Column with Square FootingExample
25
33
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
45
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
52
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
55
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Foundations and Retaining Structures
Example Combined Footing
56
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Foundations and Retaining Structures
Example Combined Footing
57
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
61
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Foundations and Retaining Structures
Example Combined Footing
62
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Foundations and Retaining Structures
Example Combined Footing
63
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
and
Retaining
Structures
Example Strap Footing
70
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Foundations
and
Retaining
Structures
Example Strap Footing
71
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
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Foundations
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Structures
Example Cantilever Retaining Wall
83
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Structures
Example Cantilever Retaining Wall
85
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d d
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
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F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 91
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 99
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g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Foundations and Retaining Structures
Example Isolated Column with Square Footing
31
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Foundations and Retaining Structures
Isolated Column with Square Footing
design for flexure shear and flexure
bull critical section
bull concrete and masonry (same as
strip footing)
bull steel (as shown)
bull capacity (same as strip footing)
Figure 24 Critical Sections for a Footing with Steel Base Plate
32
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Foundations and Retaining Structures
Example Isolated Column with Square FootingExample
25
33
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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7252019 STRC03 Foundations 0116
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7252019 STRC03 Foundations 0116
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7252019 STRC03 Foundations 0116
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7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
45
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
52
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
55
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Foundations and Retaining Structures
Example Combined Footing
56
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Foundations and Retaining Structures
Example Combined Footing
57
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
61
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Foundations and Retaining Structures
Example Combined Footing
62
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Foundations and Retaining Structures
Example Combined Footing
63
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
and
Retaining
Structures
Example Strap Footing
70
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Foundations
and
Retaining
Structures
Example Strap Footing
71
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 95
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
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Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Foundations and Retaining Structures
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Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 102
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 32104
copy 2016 Professional Publications Inc 32
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Isolated Column with Square Footing
design for flexure shear and flexure
bull critical section
bull concrete and masonry (same as
strip footing)
bull steel (as shown)
bull capacity (same as strip footing)
Figure 24 Critical Sections for a Footing with Steel Base Plate
32
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 33104
copy 2016 Professional Publications Inc 33
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Foundations and Retaining Structures
Example Isolated Column with Square FootingExample
25
33
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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7252019 STRC03 Foundations 0116
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7252019 STRC03 Foundations 0116
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7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
45
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined Footing
52
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
57
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined Footing
61
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined Footing
62
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Foundations and Retaining Structures
Example Combined Footing
63
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
and
Retaining
Structures
Example Strap Footing
70
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Foundations
and
Retaining
Structures
Example Strap Footing
71
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
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Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Foundations and Retaining Structures
Example Isolated Column with Square FootingExample
25
33
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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7252019 STRC03 Foundations 0116
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7252019 STRC03 Foundations 0116
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7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
45
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
52
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
55
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Foundations and Retaining Structures
Example Combined Footing
56
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Foundations and Retaining Structures
Example Combined Footing
57
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
61
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Foundations and Retaining Structures
Example Combined Footing
62
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Foundations and Retaining Structures
Example Combined Footing
63
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
and
Retaining
Structures
Example Strap Footing
70
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Foundations
and
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Structures
Example Strap Footing
71
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
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Foundations
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Retaining
Structures
Example Cantilever Retaining Wall
83
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Foundations
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Retaining
Structures
Example Cantilever Retaining Wall
85
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Structural Engineering Review Course Foundations and Retaining Structures
d d
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
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F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
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Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Foundations and Retaining Structures
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Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
45
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
52
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
55
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
57
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
61
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
63
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
and
Retaining
Structures
Example Strap Footing
70
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Foundations
and
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Structures
Example Strap Footing
71
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 72
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 73
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 74
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 76
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Foundations and Retaining Structures
Isolated Column with Square Footing
Figure 25
Bearing
on
Footing
Concrete
35
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
45
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
52
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
55
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined Footing
56
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Foundations and Retaining Structures
Example Combined Footing
57
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
61
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Foundations and Retaining Structures
Example Combined Footing
62
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Foundations and Retaining Structures
Example Combined Footing
63
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
and
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Structures
Example Strap Footing
70
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Foundations
and
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Structures
Example Strap Footing
71
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 74
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 85
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 89
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 91
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 95
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 99
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g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 101
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Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Foundations and Retaining Structures
Isolated Column with Square Footing
transfer of force at base of column
bull bearing capacity of the column
concree
bull
bearing
capacity
of
the
footing
concrete
bull Bearing capacity is governed by the
lesser of the two equations
bull A2 is the area at the base of the column
where the lines intersect (See Fig 25)
bull This area may be governed by the
length of the footing
bull Instead of c + 4d the length is B
36
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7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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7252019 STRC03 Foundations 0116
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7252019 STRC03 Foundations 0116
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7252019 STRC03 Foundations 0116
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7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
45
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Combined Footing
52
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Combined Footing
55
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Combined Footing
56
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Combined Footing
57
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined Footing
61
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Combined Footing
62
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Combined Footing
63
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
and
Retaining
Structures
Example Strap Footing
70
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Example Strap Footing
71
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 74
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
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copy 2016 Professional Publications Inc 85
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 87
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 95
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 98
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 99
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g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
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Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 102
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 37104
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 38104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 39104
copy 2016 Professional Publications Inc 39
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 40104
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 41104
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 42104
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 43104
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 44104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 45104
copy 2016 Professional Publications Inc 45
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
45
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 46104
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 48
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 50104
copy 2016 Professional Publications Inc 50
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 52104
copy 2016 Professional Publications Inc 52
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Foundations and Retaining Structures
Example Combined Footing
52
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 53104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 54
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 55104
copy 2016 Professional Publications Inc 55
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Foundations and Retaining Structures
Example Combined Footing
55
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 56104
copy 2016 Professional Publications Inc 56
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Foundations and Retaining Structures
Example Combined Footing
56
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 57104
copy 2016 Professional Publications Inc 57
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Foundations and Retaining Structures
Example Combined Footing
57
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 58104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 59104
copy 2016 Professional Publications Inc 59
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 60104
copy 2016 Professional Publications Inc 60
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 61104
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Foundations and Retaining Structures
Example Combined Footing
61
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 62104
copy 2016 Professional Publications Inc 62
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Foundations and Retaining Structures
Example Combined Footing
62
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 63104
copy 2016 Professional Publications Inc 63
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Foundations and Retaining Structures
Example Combined Footing
63
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 64104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 65104
copy 2016 Professional Publications Inc 65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 70104
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Foundations
and
Retaining
Structures
Example Strap Footing
70
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 71104
copy 2016 Professional Publications Inc 71
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Foundations
and
Retaining
Structures
Example Strap Footing
71
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 72104
copy 2016 Professional Publications Inc 72
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 73104
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 74104
copy 2016 Professional Publications Inc 74
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 75
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 76
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 77104
copy 2016 Professional Publications Inc 77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 78
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 79
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 81
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 83104
copy 2016 Professional Publications Inc 83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 85
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 87
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 89
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 91
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 92
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 93
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 98
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
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g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 38104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 39104
copy 2016 Professional Publications Inc 39
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 40104
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 41104
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 42104
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 43104
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 44104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 45104
copy 2016 Professional Publications Inc 45
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
45
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 46104
copy 2016 Professional Publications Inc 46
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 48104
copy 2016 Professional Publications Inc 48
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 50
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Combined FootingExample
29
50
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 52
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Foundations and Retaining Structures
Example Combined Footing
52
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 54
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
55
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Foundations and Retaining Structures
Example Combined Footing
56
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Foundations and Retaining Structures
Example Combined Footing
57
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copy 2016 Professional Publications Inc 59
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined Footing
61
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Foundations and Retaining Structures
Example Combined Footing
62
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Foundations and Retaining Structures
Example Combined Footing
63
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
and
Retaining
Structures
Example Strap Footing
70
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
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Structures
Example Strap Footing
71
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
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Structural Engineering Review Course Foundations and Retaining Structures
d d
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
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F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
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Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Foundations and Retaining Structures
Example Isolated Column with Square FootingCSCO Example
68
39
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7252019 STRC03 Foundations 0116
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7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
45
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
52
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined Footing
55
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
57
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
61
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Foundations and Retaining Structures
Example Combined Footing
62
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Foundations and Retaining Structures
Example Combined Footing
63
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copy 2016 Professional Publications Inc 65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 68
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 69
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
and
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Structures
Example Strap Footing
70
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Foundations
and
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Structures
Example Strap Footing
71
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 73104
copy 2016 Professional Publications Inc 73
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 74
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 75
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 81
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
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d d
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
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Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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7252019 STRC03 Foundations 0116
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7252019 STRC03 Foundations 0116
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7252019 STRC03 Foundations 0116
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7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
45
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
52
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
55
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Foundations and Retaining Structures
Example Combined Footing
56
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Foundations and Retaining Structures
Example Combined Footing
57
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
61
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Foundations and Retaining Structures
Example Combined Footing
62
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Foundations and Retaining Structures
Example Combined Footing
63
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
and
Retaining
Structures
Example Strap Footing
70
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Foundations
and
Retaining
Structures
Example Strap Footing
71
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 74
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 75104
copy 2016 Professional Publications Inc 75
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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copy 2016 Professional Publications Inc 76
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 79
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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copy 2016 Professional Publications Inc 80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 81
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 82104
copy 2016 Professional Publications Inc 82
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
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d d
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copy 2016 Professional Publications Inc 87
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 91
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 95
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 99
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g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 101
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Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 102
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 41104
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 42104
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 43104
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 44104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 45
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
45
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 48
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Combined Footing
52
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined Footing
55
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 56104
copy 2016 Professional Publications Inc 56
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Foundations and Retaining Structures
Example Combined Footing
56
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 57104
copy 2016 Professional Publications Inc 57
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Foundations and Retaining Structures
Example Combined Footing
57
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 58104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 59
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined Footing
61
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Combined Footing
62
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Combined Footing
63
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
and
Retaining
Structures
Example Strap Footing
70
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 71
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Foundations
and
Retaining
Structures
Example Strap Footing
71
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 72
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
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httpslidepdfcomreaderfullstrc03-foundations-0116 74104
copy 2016 Professional Publications Inc 74
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
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httpslidepdfcomreaderfullstrc03-foundations-0116 83104
copy 2016 Professional Publications Inc 83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
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7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
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copy 2016 Professional Publications Inc 89
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 91104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 98
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 42104
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 43104
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 44104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 45104
copy 2016 Professional Publications Inc 45
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
45
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 46104
copy 2016 Professional Publications Inc 46
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 47104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 48
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
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Foundations and Retaining Structures
Example Combined Footing
56
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Foundations and Retaining Structures
Example Combined Footing
57
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
61
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Foundations and Retaining Structures
Example Combined Footing
62
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Foundations and Retaining Structures
Example Combined Footing
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
and
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Structures
Example Strap Footing
70
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Foundations
and
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Structures
Example Strap Footing
71
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
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Foundations
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Structures
Example Cantilever Retaining Wall
83
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Foundations
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Retaining
Structures
Example Cantilever Retaining Wall
85
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Structural Engineering Review Course Foundations and Retaining Structures
d d
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
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Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Foundations and Retaining Structures
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Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
45
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
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copy 2016 Professional Publications Inc 48
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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copy 2016 Professional Publications Inc 50
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
52
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined Footing
55
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Foundations and Retaining Structures
Example Combined Footing
56
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Foundations and Retaining Structures
Example Combined Footing
57
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copy 2016 Professional Publications Inc 59
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
61
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Foundations and Retaining Structures
Example Combined Footing
62
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Foundations and Retaining Structures
Example Combined Footing
63
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copy 2016 Professional Publications Inc 65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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copy 2016 Professional Publications Inc 67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 68
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 69104
copy 2016 Professional Publications Inc 69
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
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Structures
Example Strap Footing
70
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Foundations
and
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Structures
Example Strap Footing
71
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 73
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 74104
copy 2016 Professional Publications Inc 74
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 75
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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copy 2016 Professional Publications Inc 76
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 81
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 85
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 87
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 95
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
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Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Example Counterfort Retaining Wall
101
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Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
45
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
52
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
55
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Foundations and Retaining Structures
Example Combined Footing
56
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Foundations and Retaining Structures
Example Combined Footing
57
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
61
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Foundations and Retaining Structures
Example Combined Footing
62
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Foundations and Retaining Structures
Example Combined Footing
63
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
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Structures
Example Strap Footing
70
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Foundations
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Structures
Example Strap Footing
71
Structural Engineering Review Course Foundations and Retaining Structures
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httpslidepdfcomreaderfullstrc03-foundations-0116 72104
copy 2016 Professional Publications Inc 72
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 73104
copy 2016 Professional Publications Inc 73
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 74104
copy 2016 Professional Publications Inc 74
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 75104
copy 2016 Professional Publications Inc 75
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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copy 2016 Professional Publications Inc 76
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 77104
copy 2016 Professional Publications Inc 77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 78
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 79
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 80
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 81104
copy 2016 Professional Publications Inc 81
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 82104
copy 2016 Professional Publications Inc 82
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 85
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 87
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
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F d ti d R t i i St t
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 90
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 91
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 95
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 98
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 99
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g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 101
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Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 45
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
45
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 46104
copy 2016 Professional Publications Inc 46
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Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 48
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 50
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 52
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Foundations and Retaining Structures
Example Combined Footing
52
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 53104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined Footing
55
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 56104
copy 2016 Professional Publications Inc 56
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Foundations and Retaining Structures
Example Combined Footing
56
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 57104
copy 2016 Professional Publications Inc 57
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Foundations and Retaining Structures
Example Combined Footing
57
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 58104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 59104
copy 2016 Professional Publications Inc 59
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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copy 2016 Professional Publications Inc 60
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 61104
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Foundations and Retaining Structures
Example Combined Footing
61
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 62104
copy 2016 Professional Publications Inc 62
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Foundations and Retaining Structures
Example Combined Footing
62
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 63
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Foundations and Retaining Structures
Example Combined Footing
63
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
and
Retaining
Structures
Example Strap Footing
70
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 71
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Foundations
and
Retaining
Structures
Example Strap Footing
71
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 72
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
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httpslidepdfcomreaderfullstrc03-foundations-0116 74104
copy 2016 Professional Publications Inc 74
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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copy 2016 Professional Publications Inc 76
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
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httpslidepdfcomreaderfullstrc03-foundations-0116 83104
copy 2016 Professional Publications Inc 83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
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7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 87
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 91104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 98
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 46104
copy 2016 Professional Publications Inc 46
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Isolated Column with Rectangular Footing
46
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 47104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 48104
copy 2016 Professional Publications Inc 48
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 49104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 50104
copy 2016 Professional Publications Inc 50
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Combined FootingExample
29
50
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined Footing
52
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined Footing
55
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Combined Footing
56
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Combined Footing
57
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 59
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Combined Footing
61
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Combined Footing
62
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Combined Footing
63
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Strap Footing
70
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Strap Footing
71
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 73104
copy 2016 Professional Publications Inc 73
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 74104
copy 2016 Professional Publications Inc 74
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Combined Footing
52
7252019 STRC03 Foundations 0116
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7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 54
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 55
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Foundations and Retaining Structures
Example Combined Footing
55
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 56
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Foundations and Retaining Structures
Example Combined Footing
56
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 57
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Foundations and Retaining Structures
Example Combined Footing
57
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 59
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 60104
copy 2016 Professional Publications Inc 60
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined Footing
61
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 62
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Foundations and Retaining Structures
Example Combined Footing
62
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Combined Footing
63
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 65
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 68104
copy 2016 Professional Publications Inc 68
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 69104
copy 2016 Professional Publications Inc 69
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 70
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Foundations
and
Retaining
Structures
Example Strap Footing
70
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 71
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Foundations
and
Retaining
Structures
Example Strap Footing
71
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 72
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 73104
copy 2016 Professional Publications Inc 73
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 74104
copy 2016 Professional Publications Inc 74
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 75104
copy 2016 Professional Publications Inc 75
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 81
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 85
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 89
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 95
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
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Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
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Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Foundations and Retaining Structures
Combined Footing
pressure distribution
bull Design footing based on factored
loads (Do not include footing weight)
bull Design as a beam continuous over two
supports
bull max negative moment at 0 shear
location
bull max positive moment at column
no 2 outside face
bull reinforcement required in band
under column no 1
48
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
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Foundations and Retaining Structures
Example Combined Footing
52
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
55
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Combined Footing
56
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Combined Footing
57
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
61
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Foundations and Retaining Structures
Example Combined Footing
62
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7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Combined Footing
63
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
and
Retaining
Structures
Example Strap Footing
70
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Foundations
and
Retaining
Structures
Example Strap Footing
71
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 74
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 75
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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copy 2016 Professional Publications Inc 76
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 77104
copy 2016 Professional Publications Inc 77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 78
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 79104
copy 2016 Professional Publications Inc 79
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
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copy 2016 Professional Publications Inc 80
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 81104
copy 2016 Professional Publications Inc 81
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 82104
copy 2016 Professional Publications Inc 82
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 83104
copy 2016 Professional Publications Inc 83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
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7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 85
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
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d d
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 87
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 91104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 95
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 98
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 99
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g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
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Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 102
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 50104
copy 2016 Professional Publications Inc 50
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Foundations and Retaining Structures
Example Combined FootingExample
29
50
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 52104
copy 2016 Professional Publications Inc 52
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Foundations and Retaining Structures
Example Combined Footing
52
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 55104
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Foundations and Retaining Structures
Example Combined Footing
55
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 56104
copy 2016 Professional Publications Inc 56
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Foundations and Retaining Structures
Example Combined Footing
56
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 57104
copy 2016 Professional Publications Inc 57
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Foundations and Retaining Structures
Example Combined Footing
57
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 59104
copy 2016 Professional Publications Inc 59
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 61104
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Foundations and Retaining Structures
Example Combined Footing
61
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 62104
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Foundations and Retaining Structures
Example Combined Footing
62
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 63104
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Foundations and Retaining Structures
Example Combined Footing
63
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
Structural Engineering Review Course Foundations and Retaining Structures
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httpslidepdfcomreaderfullstrc03-foundations-0116 70104
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Foundations
and
Retaining
Structures
Example Strap Footing
70
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 71
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Foundations
and
Retaining
Structures
Example Strap Footing
71
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 81
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 87
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 91
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 95104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 98
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 50104
copy 2016 Professional Publications Inc 50
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Combined FootingExample
29
50
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 51104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 52104
copy 2016 Professional Publications Inc 52
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Combined Footing
52
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 53104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 54104
copy 2016 Professional Publications Inc 54
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Combined FootingExample
210
54
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 55104
copy 2016 Professional Publications Inc 55
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Combined Footing
55
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 56104
copy 2016 Professional Publications Inc 56
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Combined Footing
56
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 57104
copy 2016 Professional Publications Inc 57
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Combined Footing
57
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 58104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 59104
copy 2016 Professional Publications Inc 59
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 60104
copy 2016 Professional Publications Inc 60
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Combined FootingExample
212
60
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 61104
copy 2016 Professional Publications Inc 61
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Combined Footing
61
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 62104
copy 2016 Professional Publications Inc 62
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Combined Footing
62
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 63104
copy 2016 Professional Publications Inc 63
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Combined Footing
63
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 64104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 65104
copy 2016 Professional Publications Inc 65
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 66104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 67104
copy 2016 Professional Publications Inc 67
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 68
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 69
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
and
Retaining
Structures
Example Strap Footing
70
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 71
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Foundations
and
Retaining
Structures
Example Strap Footing
71
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 72
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 73104
copy 2016 Professional Publications Inc 73
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 74104
copy 2016 Professional Publications Inc 74
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 75
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 76
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 79
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
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httpslidepdfcomreaderfullstrc03-foundations-0116 80104
copy 2016 Professional Publications Inc 80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 81
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
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httpslidepdfcomreaderfullstrc03-foundations-0116 82104
copy 2016 Professional Publications Inc 82
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 83104
copy 2016 Professional Publications Inc 83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 85
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 87
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 89
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 95
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 101
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Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined Footing
52
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined Footing
55
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined Footing
56
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Combined Footing
57
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined Footing
61
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Foundations and Retaining Structures
Example Combined Footing
62
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Combined Footing
63
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 68
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 69104
copy 2016 Professional Publications Inc 69
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 70
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Foundations
and
Retaining
Structures
Example Strap Footing
70
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 71
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Foundations
and
Retaining
Structures
Example Strap Footing
71
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 72104
copy 2016 Professional Publications Inc 72
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 73104
copy 2016 Professional Publications Inc 73
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 74104
copy 2016 Professional Publications Inc 74
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 75104
copy 2016 Professional Publications Inc 75
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 76
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 77104
copy 2016 Professional Publications Inc 77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 78
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 79104
copy 2016 Professional Publications Inc 79
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 80
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 81104
copy 2016 Professional Publications Inc 81
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 82104
copy 2016 Professional Publications Inc 82
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 83104
copy 2016 Professional Publications Inc 83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 85
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 87
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
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F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 90
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 99
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g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 101
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Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Combined Footing
52
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 54
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 55104
copy 2016 Professional Publications Inc 55
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Foundations and Retaining Structures
Example Combined Footing
55
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 56104
copy 2016 Professional Publications Inc 56
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Foundations and Retaining Structures
Example Combined Footing
56
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 57104
copy 2016 Professional Publications Inc 57
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Foundations and Retaining Structures
Example Combined Footing
57
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 59
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Combined Footing
61
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 62104
copy 2016 Professional Publications Inc 62
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Foundations and Retaining Structures
Example Combined Footing
62
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 63104
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Foundations and Retaining Structures
Example Combined Footing
63
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Strap Footing
70
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 71
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Foundations
and
Retaining
Structures
Example Strap Footing
71
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
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httpslidepdfcomreaderfullstrc03-foundations-0116 83104
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 87
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 98
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 99
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g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 53104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 54104
copy 2016 Professional Publications Inc 54
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Combined FootingExample
210
54
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 55104
copy 2016 Professional Publications Inc 55
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Combined Footing
55
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 56104
copy 2016 Professional Publications Inc 56
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Foundations and Retaining Structures
Example Combined Footing
56
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 57104
copy 2016 Professional Publications Inc 57
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Foundations and Retaining Structures
Example Combined Footing
57
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 58104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 59104
copy 2016 Professional Publications Inc 59
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 60104
copy 2016 Professional Publications Inc 60
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Combined FootingExample
212
60
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 61104
copy 2016 Professional Publications Inc 61
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Foundations and Retaining Structures
Example Combined Footing
61
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 62104
copy 2016 Professional Publications Inc 62
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Foundations and Retaining Structures
Example Combined Footing
62
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7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 63104
copy 2016 Professional Publications Inc 63
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Foundations and Retaining Structures
Example Combined Footing
63
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 68
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Strap Footing
70
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Strap Footing
71
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 72
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 73
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 74
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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copy 2016 Professional Publications Inc 76
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 81
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 82
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
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Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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g
Example Counterfort Retaining WallExample 219
99
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 101
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Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Combined FootingExample
210
54
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Foundations and Retaining Structures
Example Combined Footing
55
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined Footing
56
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined Footing
57
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 61
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Foundations and Retaining Structures
Example Combined Footing
61
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 62
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Foundations and Retaining Structures
Example Combined Footing
62
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 63104
copy 2016 Professional Publications Inc 63
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Foundations and Retaining Structures
Example Combined Footing
63
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 65
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 68
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 69104
copy 2016 Professional Publications Inc 69
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Strap Footing
70
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 71
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Foundations
and
Retaining
Structures
Example Strap Footing
71
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 72104
copy 2016 Professional Publications Inc 72
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 73104
copy 2016 Professional Publications Inc 73
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 74104
copy 2016 Professional Publications Inc 74
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 75104
copy 2016 Professional Publications Inc 75
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 76
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 77104
copy 2016 Professional Publications Inc 77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 78
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 79104
copy 2016 Professional Publications Inc 79
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 80
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 81104
copy 2016 Professional Publications Inc 81
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 82104
copy 2016 Professional Publications Inc 82
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 83104
copy 2016 Professional Publications Inc 83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
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7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 85
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 87
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 88
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 89
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 90
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 91
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
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g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
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Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 55104
copy 2016 Professional Publications Inc 55
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Combined Footing
55
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 56104
copy 2016 Professional Publications Inc 56
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Combined Footing
56
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 57104
copy 2016 Professional Publications Inc 57
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Combined Footing
57
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 58104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 59104
copy 2016 Professional Publications Inc 59
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
Structural Engineering Review Course Foundations and Retaining Structures
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httpslidepdfcomreaderfullstrc03-foundations-0116 60104
copy 2016 Professional Publications Inc 60
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 61104
copy 2016 Professional Publications Inc 61
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Foundations and Retaining Structures
Example Combined Footing
61
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 62104
copy 2016 Professional Publications Inc 62
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Foundations and Retaining Structures
Example Combined Footing
62
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 63104
copy 2016 Professional Publications Inc 63
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Foundations and Retaining Structures
Example Combined Footing
63
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 64104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 65104
copy 2016 Professional Publications Inc 65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 68
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 70104
copy 2016 Professional Publications Inc 70
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Foundations
and
Retaining
Structures
Example Strap Footing
70
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 71104
copy 2016 Professional Publications Inc 71
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Foundations
and
Retaining
Structures
Example Strap Footing
71
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 72
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 73104
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 74104
copy 2016 Professional Publications Inc 74
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 75
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 76
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 77104
copy 2016 Professional Publications Inc 77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 78
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 79
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 81
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 82
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 83104
copy 2016 Professional Publications Inc 83
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 84104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 85
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 87
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 91104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 98
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 56104
copy 2016 Professional Publications Inc 56
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Combined Footing
56
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 57104
copy 2016 Professional Publications Inc 57
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Combined Footing
57
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 58104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 59104
copy 2016 Professional Publications Inc 59
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 60104
copy 2016 Professional Publications Inc 60
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 61104
copy 2016 Professional Publications Inc 61
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Combined Footing
61
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 62104
copy 2016 Professional Publications Inc 62
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Combined Footing
62
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 63104
copy 2016 Professional Publications Inc 63
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Combined Footing
63
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 64104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 65104
copy 2016 Professional Publications Inc 65
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 66104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 67
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 68
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 69104
copy 2016 Professional Publications Inc 69
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 70
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Foundations
and
Retaining
Structures
Example Strap Footing
70
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 71104
copy 2016 Professional Publications Inc 71
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Foundations
and
Retaining
Structures
Example Strap Footing
71
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 72104
copy 2016 Professional Publications Inc 72
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 73104
copy 2016 Professional Publications Inc 73
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 74104
copy 2016 Professional Publications Inc 74
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 75104
copy 2016 Professional Publications Inc 75
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 76104
copy 2016 Professional Publications Inc 76
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 77104
copy 2016 Professional Publications Inc 77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 78
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 79104
copy 2016 Professional Publications Inc 79
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 80104
copy 2016 Professional Publications Inc 80
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 81104
copy 2016 Professional Publications Inc 81
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 82104
copy 2016 Professional Publications Inc 82
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 83104
copy 2016 Professional Publications Inc 83
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 84104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 85104
copy 2016 Professional Publications Inc 85
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 87
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 98
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 99
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g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
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Foundations and Retaining Structures
Example Combined Footing
57
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined Footing
61
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 62
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Foundations and Retaining Structures
Example Combined Footing
62
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 63104
copy 2016 Professional Publications Inc 63
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Foundations and Retaining Structures
Example Combined Footing
63
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 67
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 68104
copy 2016 Professional Publications Inc 68
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 69104
copy 2016 Professional Publications Inc 69
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 70104
copy 2016 Professional Publications Inc 70
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Foundations
and
Retaining
Structures
Example Strap Footing
70
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 71104
copy 2016 Professional Publications Inc 71
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Foundations
and
Retaining
Structures
Example Strap Footing
71
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 72104
copy 2016 Professional Publications Inc 72
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 73104
copy 2016 Professional Publications Inc 73
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 74104
copy 2016 Professional Publications Inc 74
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 75104
copy 2016 Professional Publications Inc 75
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 76
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 77104
copy 2016 Professional Publications Inc 77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 78104
copy 2016 Professional Publications Inc 78
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 79104
copy 2016 Professional Publications Inc 79
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 80
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 81104
copy 2016 Professional Publications Inc 81
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 82104
copy 2016 Professional Publications Inc 82
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 83104
copy 2016 Professional Publications Inc 83
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 85
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 87
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 91
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 95
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Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 96
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 99
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g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 101
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Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 102
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 59
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Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined Footing
61
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined Footing
62
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations and Retaining Structures
Example Combined Footing
63
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 65
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 67
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 68
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
Structural Engineering Review Course Foundations and Retaining Structures
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httpslidepdfcomreaderfullstrc03-foundations-0116 69104
copy 2016 Professional Publications Inc 69
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 70
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Foundations
and
Retaining
Structures
Example Strap Footing
70
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 71
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Foundations
and
Retaining
Structures
Example Strap Footing
71
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 72
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 73104
copy 2016 Professional Publications Inc 73
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 74104
copy 2016 Professional Publications Inc 74
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 87
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 89
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 98
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 59104
copy 2016 Professional Publications Inc 59
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Combined Footing
design for flexure
bull similar to isolated column footing
method
bull footing design for factored loads
bull reinforcement required in band under
column no 1
Figure 28 Combined Footing with Applied Factored Loads
59
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 60104
copy 2016 Professional Publications Inc 60
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Combined FootingExample
212
60
Structural Engineering Review Course Foundations and Retaining Structures
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httpslidepdfcomreaderfullstrc03-foundations-0116 61104
copy 2016 Professional Publications Inc 61
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Combined Footing
61
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 62
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Foundations and Retaining Structures
Example Combined Footing
62
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 63104
copy 2016 Professional Publications Inc 63
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Foundations and Retaining Structures
Example Combined Footing
63
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 65104
copy 2016 Professional Publications Inc 65
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 67104
copy 2016 Professional Publications Inc 67
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 68104
copy 2016 Professional Publications Inc 68
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 69104
copy 2016 Professional Publications Inc 69
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
Structural Engineering Review Course Foundations and Retaining Structures
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httpslidepdfcomreaderfullstrc03-foundations-0116 70104
copy 2016 Professional Publications Inc 70
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Foundations
and
Retaining
Structures
Example Strap Footing
70
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 71104
copy 2016 Professional Publications Inc 71
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Foundations
and
Retaining
Structures
Example Strap Footing
71
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 72104
copy 2016 Professional Publications Inc 72
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 73104
copy 2016 Professional Publications Inc 73
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 74
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 75
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
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copy 2016 Professional Publications Inc 76
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Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 81104
copy 2016 Professional Publications Inc 81
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 82
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Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 83
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
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Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 85
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 89
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 90
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 91
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 96
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 98
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 99
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g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 101
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Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
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Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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Foundations and Retaining Structures
Example Combined FootingExample
212
60
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Foundations and Retaining Structures
Example Combined Footing
61
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Foundations and Retaining Structures
Example Combined Footing
62
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Foundations and Retaining Structures
Example Combined Footing
63
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
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Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
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Foundations
and
Retaining
Structures
Example Strap Footing
70
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Example Strap Footing
71
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 72
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 74104
copy 2016 Professional Publications Inc 74
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 75104
copy 2016 Professional Publications Inc 75
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Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 76
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 77104
copy 2016 Professional Publications Inc 77
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
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httpslidepdfcomreaderfullstrc03-foundations-0116 79104
copy 2016 Professional Publications Inc 79
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 80
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 81104
copy 2016 Professional Publications Inc 81
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 82104
copy 2016 Professional Publications Inc 82
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 83104
copy 2016 Professional Publications Inc 83
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 85
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 87
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 91104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
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Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 98
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g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 99
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g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 61
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Combined Footing
61
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 62104
copy 2016 Professional Publications Inc 62
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Combined Footing
62
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 63104
copy 2016 Professional Publications Inc 63
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Combined Footing
63
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 64104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 65104
copy 2016 Professional Publications Inc 65
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 67104
copy 2016 Professional Publications Inc 67
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 68104
copy 2016 Professional Publications Inc 68
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 69104
copy 2016 Professional Publications Inc 69
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 70104
copy 2016 Professional Publications Inc 70
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Strap Footing
70
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 71104
copy 2016 Professional Publications Inc 71
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Strap Footing
71
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 72104
copy 2016 Professional Publications Inc 72
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 73104
copy 2016 Professional Publications Inc 73
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 74104
copy 2016 Professional Publications Inc 74
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 75104
copy 2016 Professional Publications Inc 75
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 76
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 77104
copy 2016 Professional Publications Inc 77
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 78104
copy 2016 Professional Publications Inc 78
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 79104
copy 2016 Professional Publications Inc 79
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 80104
copy 2016 Professional Publications Inc 80
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 81104
copy 2016 Professional Publications Inc 81
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 82104
copy 2016 Professional Publications Inc 82
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 83104
copy 2016 Professional Publications Inc 83
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 84104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 85104
copy 2016 Professional Publications Inc 85
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 86104
Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 87
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 90
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Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 92
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 62104
copy 2016 Professional Publications Inc 62
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Combined Footing
62
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 63104
copy 2016 Professional Publications Inc 63
STRC copy2015 Professional Publications Inc
Foundations and Retaining Structures
Example Combined Footing
63
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 64104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 65104
copy 2016 Professional Publications Inc 65
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 66104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 67104
copy 2016 Professional Publications Inc 67
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 68104
copy 2016 Professional Publications Inc 68
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 69104
copy 2016 Professional Publications Inc 69
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 70104
copy 2016 Professional Publications Inc 70
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Strap Footing
70
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 71104
copy 2016 Professional Publications Inc 71
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Strap Footing
71
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 72104
copy 2016 Professional Publications Inc 72
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 73104
copy 2016 Professional Publications Inc 73
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 74104
copy 2016 Professional Publications Inc 74
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 75104
copy 2016 Professional Publications Inc 75
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 76104
copy 2016 Professional Publications Inc 76
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 77104
copy 2016 Professional Publications Inc 77
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 78104
copy 2016 Professional Publications Inc 78
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 79104
copy 2016 Professional Publications Inc 79
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 80104
copy 2016 Professional Publications Inc 80
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 81104
copy 2016 Professional Publications Inc 81
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 82104
copy 2016 Professional Publications Inc 82
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 83104
copy 2016 Professional Publications Inc 83
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 84104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 85104
copy 2016 Professional Publications Inc 85
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 87104
copy 2016 Professional Publications Inc 87
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 88
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 91
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
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Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 63104
copy 2016 Professional Publications Inc 63
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Foundations and Retaining Structures
Example Combined Footing
63
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 64104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 65104
copy 2016 Professional Publications Inc 65
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 67
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 68104
copy 2016 Professional Publications Inc 68
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 69104
copy 2016 Professional Publications Inc 69
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 70104
copy 2016 Professional Publications Inc 70
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Strap Footing
70
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 71104
copy 2016 Professional Publications Inc 71
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Strap Footing
71
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 72104
copy 2016 Professional Publications Inc 72
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 73104
copy 2016 Professional Publications Inc 73
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 74104
copy 2016 Professional Publications Inc 74
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 75104
copy 2016 Professional Publications Inc 75
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 76104
copy 2016 Professional Publications Inc 76
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 77104
copy 2016 Professional Publications Inc 77
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 79
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Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 80104
copy 2016 Professional Publications Inc 80
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 81104
copy 2016 Professional Publications Inc 81
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Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 82
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 83104
copy 2016 Professional Publications Inc 83
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 85
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 87104
copy 2016 Professional Publications Inc 87
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 91104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 95104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 64104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 65104
copy 2016 Professional Publications Inc 65
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 66104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 67104
copy 2016 Professional Publications Inc 67
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 68104
copy 2016 Professional Publications Inc 68
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 69104
copy 2016 Professional Publications Inc 69
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 70104
copy 2016 Professional Publications Inc 70
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Strap Footing
70
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 71104
copy 2016 Professional Publications Inc 71
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Strap Footing
71
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 72104
copy 2016 Professional Publications Inc 72
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 73104
copy 2016 Professional Publications Inc 73
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 74104
copy 2016 Professional Publications Inc 74
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 75104
copy 2016 Professional Publications Inc 75
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 76104
copy 2016 Professional Publications Inc 76
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 77104
copy 2016 Professional Publications Inc 77
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
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copy 2016 Professional Publications Inc 78
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 79104
copy 2016 Professional Publications Inc 79
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 80104
copy 2016 Professional Publications Inc 80
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 81104
copy 2016 Professional Publications Inc 81
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 82104
copy 2016 Professional Publications Inc 82
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 83104
copy 2016 Professional Publications Inc 83
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 84104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 85104
copy 2016 Professional Publications Inc 85
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 86104
Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 87104
copy 2016 Professional Publications Inc 87
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
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Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 65104
copy 2016 Professional Publications Inc 65
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution
bull two pad footings connected by strap
bull soil pressure under strap negligible
bull strap and pads form rigid body
bull size footings for uniform pressure
under pads
bull adjust pad sizes for equal pressure
under both pads
Figure 29 Strap Footing with Applied Service Loads
65
7252019 STRC03 Foundations 0116
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Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
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copy 2016 Professional Publications Inc 67
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 68104
copy 2016 Professional Publications Inc 68
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 69104
copy 2016 Professional Publications Inc 69
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 70104
copy 2016 Professional Publications Inc 70
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Strap Footing
70
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 71104
copy 2016 Professional Publications Inc 71
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Strap Footing
71
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 72104
copy 2016 Professional Publications Inc 72
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Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 73104
copy 2016 Professional Publications Inc 73
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Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 74104
copy 2016 Professional Publications Inc 74
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 75104
copy 2016 Professional Publications Inc 75
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 76104
copy 2016 Professional Publications Inc 76
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 77104
copy 2016 Professional Publications Inc 77
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 78104
copy 2016 Professional Publications Inc 78
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 79104
copy 2016 Professional Publications Inc 79
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 80104
copy 2016 Professional Publications Inc 80
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 81104
copy 2016 Professional Publications Inc 81
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 82104
copy 2016 Professional Publications Inc 82
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 83104
copy 2016 Professional Publications Inc 83
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 84104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 85104
copy 2016 Professional Publications Inc 85
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 86104
Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 87104
copy 2016 Professional Publications Inc 87
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 91104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 95104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 66104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 67104
copy 2016 Professional Publications Inc 67
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 68104
copy 2016 Professional Publications Inc 68
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 69104
copy 2016 Professional Publications Inc 69
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 70104
copy 2016 Professional Publications Inc 70
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Strap Footing
70
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 71104
copy 2016 Professional Publications Inc 71
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Strap Footing
71
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 72104
copy 2016 Professional Publications Inc 72
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 73104
copy 2016 Professional Publications Inc 73
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 74104
copy 2016 Professional Publications Inc 74
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 75104
copy 2016 Professional Publications Inc 75
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 76104
copy 2016 Professional Publications Inc 76
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 77104
copy 2016 Professional Publications Inc 77
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 78104
copy 2016 Professional Publications Inc 78
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 79104
copy 2016 Professional Publications Inc 79
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 80104
copy 2016 Professional Publications Inc 80
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 81104
copy 2016 Professional Publications Inc 81
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 82104
copy 2016 Professional Publications Inc 82
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 83104
copy 2016 Professional Publications Inc 83
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 84104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 85104
copy 2016 Professional Publications Inc 85
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 86104
Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 87104
copy 2016 Professional Publications Inc 87
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 91104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 95104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 67104
copy 2016 Professional Publications Inc 67
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
bull align footing 2 so that R2 is below p2
bull sum vertical forces and solve for R2
bull take moments about footing 2 and
solve for R1
67
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 68104
copy 2016 Professional Publications Inc 68
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 69104
copy 2016 Professional Publications Inc 69
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 70104
copy 2016 Professional Publications Inc 70
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Strap Footing
70
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 71104
copy 2016 Professional Publications Inc 71
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Strap Footing
71
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 72104
copy 2016 Professional Publications Inc 72
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 73104
copy 2016 Professional Publications Inc 73
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 74104
copy 2016 Professional Publications Inc 74
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 75104
copy 2016 Professional Publications Inc 75
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 76104
copy 2016 Professional Publications Inc 76
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 77104
copy 2016 Professional Publications Inc 77
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 78104
copy 2016 Professional Publications Inc 78
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 79104
copy 2016 Professional Publications Inc 79
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 80104
copy 2016 Professional Publications Inc 80
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 81104
copy 2016 Professional Publications Inc 81
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 82104
copy 2016 Professional Publications Inc 82
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 83104
copy 2016 Professional Publications Inc 83
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 84104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 85104
copy 2016 Professional Publications Inc 85
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 86104
Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 87104
copy 2016 Professional Publications Inc 87
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 91104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 95104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 68104
copy 2016 Professional Publications Inc 68
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
pressure distribution (continued)
To design a strap footing with equal soil
pressure also consider the weight of
strap beam
You should
bull estimate R1 and solve for A1 and W 1
bull estimate R2 the solve for A2 and W 2
bull substitute values into equilibrium
equations and iterate the process to
convergence
68
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 69104
copy 2016 Professional Publications Inc 69
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 70104
copy 2016 Professional Publications Inc 70
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Strap Footing
70
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 71104
copy 2016 Professional Publications Inc 71
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Strap Footing
71
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 72104
copy 2016 Professional Publications Inc 72
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 73104
copy 2016 Professional Publications Inc 73
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 74104
copy 2016 Professional Publications Inc 74
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 75104
copy 2016 Professional Publications Inc 75
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 76104
copy 2016 Professional Publications Inc 76
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 77104
copy 2016 Professional Publications Inc 77
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 78104
copy 2016 Professional Publications Inc 78
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 79104
copy 2016 Professional Publications Inc 79
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 80104
copy 2016 Professional Publications Inc 80
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 81104
copy 2016 Professional Publications Inc 81
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 82104
copy 2016 Professional Publications Inc 82
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 83104
copy 2016 Professional Publications Inc 83
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 84104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 85104
copy 2016 Professional Publications Inc 85
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 86104
Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 87104
copy 2016 Professional Publications Inc 87
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 91104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 95104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 69104
copy 2016 Professional Publications Inc 69
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Strap FootingExample 213
69
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 70104
copy 2016 Professional Publications Inc 70
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Strap Footing
70
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 71104
copy 2016 Professional Publications Inc 71
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Strap Footing
71
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 72104
copy 2016 Professional Publications Inc 72
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 73104
copy 2016 Professional Publications Inc 73
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 74104
copy 2016 Professional Publications Inc 74
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 75104
copy 2016 Professional Publications Inc 75
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 76104
copy 2016 Professional Publications Inc 76
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 77104
copy 2016 Professional Publications Inc 77
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 78104
copy 2016 Professional Publications Inc 78
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 79104
copy 2016 Professional Publications Inc 79
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 80104
copy 2016 Professional Publications Inc 80
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 81104
copy 2016 Professional Publications Inc 81
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 82104
copy 2016 Professional Publications Inc 82
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 83104
copy 2016 Professional Publications Inc 83
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 84104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 85104
copy 2016 Professional Publications Inc 85
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 86104
Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 87104
copy 2016 Professional Publications Inc 87
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 91104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 95104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 70104
copy 2016 Professional Publications Inc 70
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Strap Footing
70
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 71104
copy 2016 Professional Publications Inc 71
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Strap Footing
71
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 72104
copy 2016 Professional Publications Inc 72
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 73104
copy 2016 Professional Publications Inc 73
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 74104
copy 2016 Professional Publications Inc 74
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 75104
copy 2016 Professional Publications Inc 75
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 76104
copy 2016 Professional Publications Inc 76
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 77104
copy 2016 Professional Publications Inc 77
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 78104
copy 2016 Professional Publications Inc 78
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 79104
copy 2016 Professional Publications Inc 79
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 80104
copy 2016 Professional Publications Inc 80
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 81104
copy 2016 Professional Publications Inc 81
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 82104
copy 2016 Professional Publications Inc 82
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 83104
copy 2016 Professional Publications Inc 83
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 84104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 85104
copy 2016 Professional Publications Inc 85
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 86104
Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 87104
copy 2016 Professional Publications Inc 87
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 91104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 95104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 71104
copy 2016 Professional Publications Inc 71
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Strap Footing
71
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 72104
copy 2016 Professional Publications Inc 72
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 73104
copy 2016 Professional Publications Inc 73
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 74104
copy 2016 Professional Publications Inc 74
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 75104
copy 2016 Professional Publications Inc 75
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 76104
copy 2016 Professional Publications Inc 76
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 77104
copy 2016 Professional Publications Inc 77
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 78104
copy 2016 Professional Publications Inc 78
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 79104
copy 2016 Professional Publications Inc 79
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 80104
copy 2016 Professional Publications Inc 80
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 81104
copy 2016 Professional Publications Inc 81
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 82104
copy 2016 Professional Publications Inc 82
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 83104
copy 2016 Professional Publications Inc 83
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 84104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 85104
copy 2016 Professional Publications Inc 85
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 86104
Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 87104
copy 2016 Professional Publications Inc 87
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 91104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 95104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 72104
copy 2016 Professional Publications Inc 72
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
72
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 73104
copy 2016 Professional Publications Inc 73
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 74104
copy 2016 Professional Publications Inc 74
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 75104
copy 2016 Professional Publications Inc 75
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 76104
copy 2016 Professional Publications Inc 76
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 77104
copy 2016 Professional Publications Inc 77
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 78104
copy 2016 Professional Publications Inc 78
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 79104
copy 2016 Professional Publications Inc 79
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 80104
copy 2016 Professional Publications Inc 80
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 81104
copy 2016 Professional Publications Inc 81
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 82104
copy 2016 Professional Publications Inc 82
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 83104
copy 2016 Professional Publications Inc 83
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 84104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 85104
copy 2016 Professional Publications Inc 85
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 86104
Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 87104
copy 2016 Professional Publications Inc 87
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 91104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 95104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 73104
copy 2016 Professional Publications Inc 73
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Poll Strap Footing
Solution
Demonstrate that you understand the
procedure and then move on
The answer is (A)
An afternoon (depth) problem contains
iterative steps
such
as
how
to
design
a
strap footing
Through how many iterations should
you go
(A) 1
(B) 3
(C) as many as it takes to reach an exact
solution
73
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 74104
copy 2016 Professional Publications Inc 74
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 75104
copy 2016 Professional Publications Inc 75
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 76104
copy 2016 Professional Publications Inc 76
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 77104
copy 2016 Professional Publications Inc 77
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 78104
copy 2016 Professional Publications Inc 78
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 79104
copy 2016 Professional Publications Inc 79
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 80104
copy 2016 Professional Publications Inc 80
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 81104
copy 2016 Professional Publications Inc 81
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 82104
copy 2016 Professional Publications Inc 82
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 83104
copy 2016 Professional Publications Inc 83
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 84104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 85104
copy 2016 Professional Publications Inc 85
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 86104
Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 87104
copy 2016 Professional Publications Inc 87
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 91104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 95104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 74104
copy 2016 Professional Publications Inc 74
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for shear
bull factored loads
bull summing moments about pad no 2
bull summing vertical forces
bull shear at left and right end of strap
74
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 75104
copy 2016 Professional Publications Inc 75
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 76104
copy 2016 Professional Publications Inc 76
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 77104
copy 2016 Professional Publications Inc 77
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 78104
copy 2016 Professional Publications Inc 78
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 79104
copy 2016 Professional Publications Inc 79
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 80104
copy 2016 Professional Publications Inc 80
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 81104
copy 2016 Professional Publications Inc 81
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 82104
copy 2016 Professional Publications Inc 82
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 83104
copy 2016 Professional Publications Inc 83
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 84104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 85104
copy 2016 Professional Publications Inc 85
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 86104
Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 87104
copy 2016 Professional Publications Inc 87
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 91104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 95104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 75104
copy 2016 Professional Publications Inc 75
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap FootingFigure 210 Factored Forces on Strap Footing
75
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 76104
copy 2016 Professional Publications Inc 76
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 77104
copy 2016 Professional Publications Inc 77
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 78104
copy 2016 Professional Publications Inc 78
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 79104
copy 2016 Professional Publications Inc 79
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 80104
copy 2016 Professional Publications Inc 80
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 81104
copy 2016 Professional Publications Inc 81
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 82104
copy 2016 Professional Publications Inc 82
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 83104
copy 2016 Professional Publications Inc 83
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 84104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 85104
copy 2016 Professional Publications Inc 85
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 86104
Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 87104
copy 2016 Professional Publications Inc 87
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 91104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 95104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 76104
copy 2016 Professional Publications Inc 76
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Strap Footing
design of strap beam for flexure
factored moments
bull left end of strap
bull right end of strap
76
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 77104
copy 2016 Professional Publications Inc 77
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 78104
copy 2016 Professional Publications Inc 78
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 79104
copy 2016 Professional Publications Inc 79
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 80104
copy 2016 Professional Publications Inc 80
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 81104
copy 2016 Professional Publications Inc 81
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 82104
copy 2016 Professional Publications Inc 82
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 83104
copy 2016 Professional Publications Inc 83
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 84104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 85104
copy 2016 Professional Publications Inc 85
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 86104
Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 87104
copy 2016 Professional Publications Inc 87
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 91104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 95104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 77104
copy 2016 Professional Publications Inc 77
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
w live load surcharge
W B weight of base
W k weight of key
W L weight of surcharge
W S weight of backfillW w weight of stem
h B depth of base
h K height of shear key
hT total height of retaining wall
hw stem thickness
L B length of base
L H length of heel
LT length of toe
Lw Length of stem
H A resultant of active earth pressure
H L resultant of pressure due to live
load surcharge
nomenclature
77
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 78104
copy 2016 Professional Publications Inc 78
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 79104
copy 2016 Professional Publications Inc 79
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 80104
copy 2016 Professional Publications Inc 80
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 81104
copy 2016 Professional Publications Inc 81
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 82104
copy 2016 Professional Publications Inc 82
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 83104
copy 2016 Professional Publications Inc 83
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 84104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 85104
copy 2016 Professional Publications Inc 85
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 86104
Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 87104
copy 2016 Professional Publications Inc 87
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 91104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 95104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 78104
copy 2016 Professional Publications Inc 78
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
H P resultant of passive earth pressure
p A active pressure
p L pressure from live load surcharge
p p passive pressure
q earth pressure under baseγ s density of soil
nomenclature
φ angle of internal friction (of soil)
μ friction coefficient
sumW total weight of retaining wall and
backfill and live load surcharge
symbols
78
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 79104
copy 2016 Professional Publications Inc 79
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 80104
copy 2016 Professional Publications Inc 80
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 81104
copy 2016 Professional Publications Inc 81
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 82104
copy 2016 Professional Publications Inc 82
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 83104
copy 2016 Professional Publications Inc 83
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 84104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 85104
copy 2016 Professional Publications Inc 85
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 86104
Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 87104
copy 2016 Professional Publications Inc 87
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 91104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 95104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 79104
copy 2016 Professional Publications Inc 79
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads
79
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 80104
copy 2016 Professional Publications Inc 80
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 81104
copy 2016 Professional Publications Inc 81
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 82104
copy 2016 Professional Publications Inc 82
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 83104
copy 2016 Professional Publications Inc 83
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 84104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 85104
copy 2016 Professional Publications Inc 85
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 86104
Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 87104
copy 2016 Professional Publications Inc 87
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 91104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 95104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 80104
copy 2016 Professional Publications Inc 80
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution
bull as shown in Fig 211
bull resultant of active earth pressure
(Rankine)
bull resultant of live load surcharge
alternatively represented by
equivalent height of fill
80
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 81104
copy 2016 Professional Publications Inc 81
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 82104
copy 2016 Professional Publications Inc 82
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 83104
copy 2016 Professional Publications Inc 83
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 84104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 85104
copy 2016 Professional Publications Inc 85
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 86104
Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 87104
copy 2016 Professional Publications Inc 87
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 91104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 95104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 81104
copy 2016 Professional Publications Inc 81
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
pressure distribution (continued)
bull resultant of passive earth pressure
bull friction beneath base
bull required factors of safety
bull sliding
bull overturning
(A factor of safety of 15 is
required for overturning about
the toe)
81
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 82104
copy 2016 Professional Publications Inc 82
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 83104
copy 2016 Professional Publications Inc 83
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 84104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 85104
copy 2016 Professional Publications Inc 85
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 86104
Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 87104
copy 2016 Professional Publications Inc 87
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 91104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 95104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 82104
copy 2016 Professional Publications Inc 82
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining WallExample 216
82
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 83104
copy 2016 Professional Publications Inc 83
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 84104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 85104
copy 2016 Professional Publications Inc 85
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 86104
Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 87104
copy 2016 Professional Publications Inc 87
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 91104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 95104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 83104
copy 2016 Professional Publications Inc 83
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
83
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 84104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 85104
copy 2016 Professional Publications Inc 85
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 86104
Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 87104
copy 2016 Professional Publications Inc 87
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 91104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 95104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 84104
Structural Engineering Review Course Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 85104
copy 2016 Professional Publications Inc 85
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 86104
Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 87104
copy 2016 Professional Publications Inc 87
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 91104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 95104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 85104
copy 2016 Professional Publications Inc 85
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
85
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 86104
Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 87104
copy 2016 Professional Publications Inc 87
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 91104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 95104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 86104
Structural Engineering Review Course Foundations and Retaining Structures
d d
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 87104
copy 2016 Professional Publications Inc 87
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 91104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 95104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 87104
copy 2016 Professional Publications Inc 87
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details
bull minimum reinforcement in stem walls
bull bars greater than no 5
bull
bars no
5 and
smaller
bull Walls greater than 10 in thick require
two layers of horizontal
reinforcement
87
vert
hor
033
020
vert
hor
033
025
Structural Engineering Review Course Foundations and Retaining Structures
F d i d R i i S
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 91104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 95104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 88104
copy 2016 Professional Publications Inc 88
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
reinforcement details (continued)
bull vertical reinforcement in earth face (governed by flexure)
bull vertical reinforcement in air face
(supply enough so that earth face plus
air face is ρ 00018)
bull vertical and horizontal reinforcement
spacing (not more than 3 times wall
thickness or 18 in)
88
Structural Engineering Review Course Foundations and Retaining Structures
F d ti d R t i i St t
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 91104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 95104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 89104
copy 2016 Professional Publications Inc 89
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Assuming no 5 bars what is the
minimum required reinforcement
spacing for an 8 in thick wall
89
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
SCL10
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 91104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 95104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 90104
copy 2016 Professional Publications Inc 90
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Cantilever Retaining Wall
Solution
For no 5 bars ρminvert = 00033
and ρminhor = 0002
For no 5 bars at 18 in (maximum spacing) As = 0207 insup2ft
Therefore use no 5 at 18 in for both
directions
2
min
2
2vert
2
2hor
8 in 12 in 96 in ft
in00012 96 03168 in ftft
in0002 96 0192 in ft
ft
g A
A
90
SCL10
Slide 90
SCL10 Updated rho(min vert) to 00033 and updated calculation OKSierra Cirimelli-Low 6252015
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 91104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 95104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 91104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 95104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 92104
copy 2016 Professional Publications Inc 91
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Cantilever Retaining Wall
design for shear and flexure
bull Recalculate soil pressure using factored loads
bull locations of critical section
bull flexure in stem located at base of the stem
bull flexure in toe located at front face of stem
bull flexure in heel located at rear face of stem
91
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 95104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 93104
copy 2016 Professional Publications Inc 92
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
design of stem and base
For 05 l nl c 10
bull design stem for pressure value at
bull horizontal span moments
bull at counterfort supports
bull at between counterforts
bull cantilever moment at base
06c
l
2
11
nql
2
16
nql
30035 A c
l
92
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 95104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 94104
copy 2016 Professional Publications Inc 93
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Counterfort Retaining Wall
l n clear span between counterfortsl c clear height of counterfort
nomenclature
93
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 95104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 95104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 96104
copy 2016 Professional Publications Inc 95
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining WallExample
218
95
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 97104
copy 2016 Professional Publications Inc 96
STRC copy2015 Professional Publications Inc
Foundations
and
Retaining
Structures
Example Counterfort Retaining Wall
96
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 98104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 99104
copy 2016 Professional Publications Inc 98
STRC copy2015 Professional Publications Inc
g
Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall
98
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 100104
copy 2016 Professional Publications Inc 99
STRC copy2015 Professional Publications Inc
g
Example Counterfort Retaining WallExample 219
99
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 101104
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 102104
copy 2016 Professional Publications Inc 101
STRC copy2015 Professional Publications Inc
Example Counterfort Retaining Wall
101
Structural Engineering Review Course Foundations and Retaining Structures
Foundations and Retaining Structures
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 103104
copy 2016 Professional Publications Inc 102
STRC copy2015 Professional Publications Inc
Lesson Overview
Foundations and Retaining Structures
bull
Strip Footing
bull Isolated Column with Square Footing
bull Isolated Column with Rectangular
Footing
bull Combined Footing
bull Strap Footing
bull Cantilever Retaining Wall
bull Counterfort Retaining Wall
102
Structural Engineering Review Course Foundations and Retaining Structures
Foundations
and
Retaining
Structures
b
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
7252019 STRC03 Foundations 0116
httpslidepdfcomreaderfullstrc03-foundations-0116 104104
copy 2016 Professional Publications Inc 103
STRC copy2015 Professional Publications Inc
Learning Objectives
You have learned
bull
footing design
bull retaining wall design
bull how to avoid pitfalls on the SE exam
bull tricks to increase problem solving
speed during the exam
103
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