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Page 1: STRC03 Foundations 0116

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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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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

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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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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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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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

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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

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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

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Foundations and Retaining Structures

Example Combined Footing

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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

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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

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Foundations

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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

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Foundations

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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

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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

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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

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Foundations

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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

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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

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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

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Foundations

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Cantilever Retaining WallFigure 211 Cantilever Retaining Wall with Applied Service Loads

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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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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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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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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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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

Page 2: STRC03 Foundations 0116

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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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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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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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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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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

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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Foundations and Retaining Structures

Example Strip Footing

21

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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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

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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

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

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

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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

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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

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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

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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

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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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

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

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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

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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

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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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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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

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

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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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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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

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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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

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

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

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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

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

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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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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

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

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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

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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

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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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

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

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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

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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

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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

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

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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

Page 7: STRC03 Foundations 0116

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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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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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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

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

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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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

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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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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

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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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

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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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

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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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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

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

Page 9: STRC03 Foundations 0116

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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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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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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

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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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

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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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

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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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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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

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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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

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

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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

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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

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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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

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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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

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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

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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

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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

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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

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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

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

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

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

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

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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

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

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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

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

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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

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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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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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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

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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

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Retaining

Structures

Example Counterfort Retaining WallExample

218

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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

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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

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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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

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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)

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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

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

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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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

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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Structural Engineering Review Course Foundations and Retaining Structures

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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

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

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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

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

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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

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

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

56

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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

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

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

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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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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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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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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

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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

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

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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

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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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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

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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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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

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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 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

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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Example Combined Footing

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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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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

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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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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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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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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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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

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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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

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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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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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

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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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

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

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

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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

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

Page 21: STRC03 Foundations 0116

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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

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

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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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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

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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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

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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

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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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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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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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

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

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

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

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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

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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 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

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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

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

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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

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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

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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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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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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

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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

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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

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

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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

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

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

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

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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 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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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

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

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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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

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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

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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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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

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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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

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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

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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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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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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

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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

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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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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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

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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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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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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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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

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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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

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

httpslidepdfcomreaderfullstrc03-foundations-0116 91104

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

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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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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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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

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

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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

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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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

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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 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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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

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

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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 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

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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 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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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

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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

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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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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

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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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

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

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

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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

7252019 STRC03 Foundations 0116

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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

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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

7252019 STRC03 Foundations 0116

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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

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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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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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

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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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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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

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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

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

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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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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

7252019 STRC03 Foundations 0116

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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

Page 37: STRC03 Foundations 0116

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Structural Engineering Review Course Foundations and Retaining Structures

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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

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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

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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

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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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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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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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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

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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

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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

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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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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

7252019 STRC03 Foundations 0116

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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

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

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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

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

Page 38: 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 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

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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

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

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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

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

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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

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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

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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

Page 39: STRC03 Foundations 0116

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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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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

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

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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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

Structural Engineering Review Course Foundations and Retaining Structures

7252019 STRC03 Foundations 0116

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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

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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

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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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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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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

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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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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

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 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

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

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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

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

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

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

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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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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

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

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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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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

7252019 STRC03 Foundations 0116

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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

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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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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

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Foundations and Retaining Structures

7252019 STRC03 Foundations 0116

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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

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 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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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

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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

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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

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

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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

Structural Engineering Review Course Foundations and Retaining Structures

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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

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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

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

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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

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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

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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

7252019 STRC03 Foundations 0116

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g

Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall

98

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Foundations and Retaining Structures

7252019 STRC03 Foundations 0116

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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

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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 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

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

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

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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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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

Page 43: 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

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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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

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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

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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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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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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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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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

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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

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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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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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

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

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

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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

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

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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

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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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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

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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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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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

7252019 STRC03 Foundations 0116

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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

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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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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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

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Foundations and Retaining Structures

7252019 STRC03 Foundations 0116

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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

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 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

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

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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

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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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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

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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

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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

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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

Structural Engineering Review Course Foundations and Retaining Structures

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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

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Structural Engineering Review Course Foundations and Retaining Structures

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

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

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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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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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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 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

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

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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

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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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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

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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

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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

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

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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

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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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

Page 47: STRC03 Foundations 0116

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Structural Engineering Review Course Foundations and Retaining Structures

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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

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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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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

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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

7252019 STRC03 Foundations 0116

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copy 2016 Professional Publications Inc 60

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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

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

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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

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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

7252019 STRC03 Foundations 0116

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copy 2016 Professional Publications Inc 70

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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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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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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

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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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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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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

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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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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

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

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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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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

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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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

Structural Engineering Review Course Foundations and Retaining Structures

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Foundations

and

Retaining

Structures

Example Strap Footing

70

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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

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

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

STRC copy2015 Professional Publications Inc

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

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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

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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

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

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

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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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

Page 49: STRC03 Foundations 0116

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Structural Engineering Review Course Foundations and Retaining Structures

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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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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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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

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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httpslidepdfcomreaderfullstrc03-foundations-0116 60104

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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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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

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

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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

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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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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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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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

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

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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

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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

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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

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

Page 50: STRC03 Foundations 0116

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

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

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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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

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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

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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

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Structural Engineering Review Course Foundations and Retaining Structures

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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

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

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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

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

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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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

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

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 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

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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

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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

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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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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

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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

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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

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

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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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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

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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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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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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

7252019 STRC03 Foundations 0116

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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

7252019 STRC03 Foundations 0116

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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

7252019 STRC03 Foundations 0116

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g

Counterfort Retaining WallFigure 212 Details of Counterfort Retaining Wall

98

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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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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 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

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

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

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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

Structural Engineering Review Course Foundations and Retaining Structures

7252019 STRC03 Foundations 0116

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

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

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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

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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

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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

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

Page 53: STRC03 Foundations 0116

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

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Foundations and Retaining Structures

Example Combined Footing

55

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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

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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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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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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

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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

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

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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

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

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

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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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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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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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

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

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

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

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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

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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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

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

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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

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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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

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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

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

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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

httpslidepdfcomreaderfullstrc03-foundations-0116 103104

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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

Page 55: 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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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

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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

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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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

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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

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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

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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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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

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

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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

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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

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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

Page 56: STRC03 Foundations 0116

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

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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

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

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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

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

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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

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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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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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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

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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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

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 Footing

57

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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

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

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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

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

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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

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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

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

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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

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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

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

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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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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

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

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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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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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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

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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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

Page 58: 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

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

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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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

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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

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

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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

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

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

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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

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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

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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

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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

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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

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

Page 59: STRC03 Foundations 0116

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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copy 2016 Professional Publications Inc 60

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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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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

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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

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Foundations

and

Retaining

Structures

Example Strap Footing

71

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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

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

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

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

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

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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

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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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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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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

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

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

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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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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

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

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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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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

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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

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

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

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

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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

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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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

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

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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

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

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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

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

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Foundations

and

Retaining

Structures

Example Strap Footing

71

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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

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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

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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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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

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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

Structural Engineering Review Course Foundations and Retaining Structures

Foundations and Retaining Structures

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httpslidepdfcomreaderfullstrc03-foundations-0116 93104

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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

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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

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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

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

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

Page 62: STRC03 Foundations 0116

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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

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copy 2016 Professional Publications Inc 63

STRC copy2015 Professional Publications Inc

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

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

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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

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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

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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

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

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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

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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

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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

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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

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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

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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

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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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

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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

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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

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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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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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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

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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

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

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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

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

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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

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

Page 64: STRC03 Foundations 0116

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

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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

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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

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

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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

httpslidepdfcomreaderfullstrc03-foundations-0116 104104

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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

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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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

Page 66: STRC03 Foundations 0116

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

Page 67: STRC03 Foundations 0116

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

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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

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

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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

Page 68: STRC03 Foundations 0116

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

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

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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

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

Page 69: STRC03 Foundations 0116

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

Page 70: STRC03 Foundations 0116

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

Page 71: STRC03 Foundations 0116

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

Page 72: STRC03 Foundations 0116

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

Page 73: STRC03 Foundations 0116

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

Page 74: STRC03 Foundations 0116

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

Page 75: STRC03 Foundations 0116

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

Page 76: STRC03 Foundations 0116

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

Page 77: STRC03 Foundations 0116

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

Page 78: STRC03 Foundations 0116

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

Page 79: STRC03 Foundations 0116

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

Page 80: STRC03 Foundations 0116

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

Page 81: STRC03 Foundations 0116

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

Page 82: STRC03 Foundations 0116

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

Page 83: STRC03 Foundations 0116

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

Page 84: STRC03 Foundations 0116

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

Page 85: STRC03 Foundations 0116

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

Page 86: STRC03 Foundations 0116

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

Page 87: STRC03 Foundations 0116

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

Page 88: STRC03 Foundations 0116

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

Page 89: STRC03 Foundations 0116

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

Page 90: STRC03 Foundations 0116

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

Page 91: STRC03 Foundations 0116

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

Page 92: STRC03 Foundations 0116

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

Page 93: STRC03 Foundations 0116

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

Page 94: STRC03 Foundations 0116

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

Page 95: STRC03 Foundations 0116

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

Page 96: STRC03 Foundations 0116

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

Page 97: STRC03 Foundations 0116

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

Page 98: STRC03 Foundations 0116

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

Page 99: STRC03 Foundations 0116

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

Page 100: STRC03 Foundations 0116

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

Page 101: STRC03 Foundations 0116

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

Page 102: STRC03 Foundations 0116

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

Page 103: STRC03 Foundations 0116

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

Page 104: STRC03 Foundations 0116

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