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Session 13 – 14 SHEET PILE STRUCTURES
Course : S0484/Foundation Engineering
Year : 2007
Version : 1/0
SHEET PILE STRUCTURES
Topic:
• General
• Types of Sheet Pile
• Lateral Pressure Diagram
• Cantilever Sheet Pile
SHEET PILE
GENERAL
Connected or semi-connected sheet piles are often used to build continuous walls to retain the lateral pressure caused by soil or external load.In contrast to the construction of other types of retaining wall, the building of sheet pile walls do not usually require dewatering the site.Sheet piles are also used for some temporary structures, such as braced cut.
SHEET PILE TYPES
CANTILEVER SHEET PILE
ANCHORED SHEET PILE
Free Earth Support
SHEET PILE TYPES
Fixed Earth Support
ANCHORED SHEET PILE
SHEET PILE TYPES
anchor plate or beam
ANCHORED SHEET PILE
SHEET PILE TYPES
tie back vertical anchor pile
ANCHORED SHEET PILE
SHEET PILE TYPES
anchor beam with batter piles
ANCHORED SHEET PILE
SHEET PILE TYPES
LATERAL EARTH PRESSURE DIAGRAM
LATERAL EARTH PRESSURE DIAGRAM
Fixed Earth Support
LATERAL EARTH PRESSURE DIAGRAM
Free Earth Support
LATERAL EARTH PRESSURE DIAGRAM
Free Earth Support
LATERAL EARTH PRESSURE DIAGRAM
CALCULATION STEPSCANTILEVER SHEET PILE - SAND
CALCULATION STEPSCANTILEVER SHEET PILE - SAND
245tan
245tan
2
2
p
a
K
K
ap KK
pLLz
'2
3
1. Determine the value of Ka and Kp
2. Calculate p1and p2 with L1 and L2 are known
3. Calculate L3
a
a
KLLp
KLp
212
11
'..
..
4. Calculate the resultant of the area ACDE (P)
5. Determine the z (the center of pressure for the area ACDE)
CALCULATION STEPSCANTILEVER SHEET PILE - SAND
6. Calculate p5
app KKLKLLp 3215 '.'..
7. Calculate A1, A2, A3, A4
ap KK
pA
'.5
1
ap KK
PA
'.
82
22
53
'
'..26
ap
ap
KK
pKKzPA
22
54
'
4..6
ap KK
PpzPA
CALCULATION STEPSCANTILEVER SHEET PILE - SAND
8. Determine L4
0443242
341
44 ALALALAL
ap KKLpp 454 '.
43 )(' LKKp ap
9. Calculate p4
10. Calculate p3
11. Calculate L5
43
435
2.
pp
PLpL
12. Draw the pressure distribution diagram
13. Obtain the theoretical depth ; D = L3 + L4
The actual depth of penetration is increased by about 20% - 30%
14. Calculate the maximum bending moment
').(
2'
3
')()''.(.2
1' 2max
ap
ap
KK
Pz
with
zKKzzzPM
EXAMPLECANTILEVER SHEET PILE - SAND
GWL
d = 15.9 kN/m3
t = 19.33 kN/m3
= 32o
c = 0 kPa
L1 = 2 m
L2 = 3 m
D
Determine the penetration depth (D) and dimension of sheet pile
EXAMPLECANTILEVER SHEET PILE - SAND
• Step 1 (determine the value of ka and kp)
• Step 2 (calculate p1 and p2)
• Step 3 (Calculate L3)
25.32
3245tan
245tan
307.02
3245tan
245tan
22
22
p
a
K
K
53.18
307.03)81.933.19()2)(9.15('..
763.9)307.0)(2)(9.15(..
2
212
11
p
KLLp
KLp
a
a
66.0)307.025.3)(81.933.19(
53.18
'2
3
ap KK
pL
kPa
kPa
m
EXAMPLECANTILEVER SHEET PILE - SAND
• Step 4 (calculate P)
• Step 5 (calculate z)
• Step 6 (calculate p5)
32.58115.6151.13289.29763.9
)66.0)(53.18(5.03)763.953.18(5.0)3)(763.9()2)(763.9(5.0
..5.0..5.0...5.0 322122111
P
P
LpLppLpLpP
23.2
3
266,0115.6
3
366.0151.13
2
366.0289.29
3
2366.0763.9
32.58
1
z
z
66.214
)307.025.3)(66.0)(81.933.19(25.33)81.933.19()2)(9.15(
'.'..
5
5
3215
p
p
KKLKLLp app
kN/m
m
kN/m2
EXAMPLECANTILEVER SHEET PILE - SAND
• Step 7 (calculate A1 – A4)
66.7)943.2)(52.9(
66.214
'.5
1
ap KK
pA
65.16)943.2)(52.9(
)32.58)(8(
'.
82
ap KK
PA
93.151
)943.2()52.9(
66.214)943.2)(52.9)(23.2)(2()32.58)(6(
'
'..26
223
22
53
A
KK
pKKzPA
ap
ap
72.230
)943.2()52.9(
)32.58)(4()66.214)(23.2)(6(32.58
'
4..62222
54
ap KK
PpzPA
EXAMPLECANTILEVER SHEET PILE - SAND
• Step 8 (determine L4)
• Step 9 (calculate p4)
• Step 10 (calculate p3)
072.23039.15165.1666.7 424
34
44 LLLL
L4 4.8 m
14.349)943.2)(8.4)(52.9(66.214
'.
4
454
p
KKLpp ap
48.134)8.4)(943.2)(52.9()(' 43 LKKp ap
kPa
kPa
EXAMPLECANTILEVER SHEET PILE - SAND
• Step 11 (Calculate L5)
• Step 12 Draw the pressure distribution diagram
• Step 13 (the penetration dept of sheet pile)– Theoretical = 0.66 + 4.8 = 5.46 m– Actual = 1.3 (L3+L4) =7.1 m
09.114.34948.134
)32.58(2)8.4)(48.134(2.
43
435
pp
PLpL m
EXAMPLECANTILEVER SHEET PILE - SAND
EXAMPLECANTILEVER SHEET PILE - SAND
Dimension of Sheet Pile
39.209
3
04.2)943.2()04.2)(52.9(5.0)04.223.2)(32.58(
3
')()''.(.2
1'
04.2)943.2(52.9
)32.58)(2(
').(
2'
max
2max
2max
M
M
zKKzzzPM
KK
Pz
ap
ap
m
kN.m
CALCULATION STEPSCANTILEVER SHEET PILE - CLAY
CALCULATION STEPSCANTILEVER SHEET PILE - CLAY
245tan
245tan
2
2
p
a
K
K
1. Determine the value of Ka and Kp
2. Calculate p1and p2 with L1 and L2 are known
a
a
KLLp
KLp
212
11
'..
..
3. Calculate the resultant of the area ACDE (P1) and z1 (the center of pressure for the area ACDE)
In case of saturated soft clay with internal friction angle () = 0, we got
Ka = Kp = 1
CALCULATION STEPSCANTILEVER SHEET PILE - CLAY
0
.2'..
..12...2'...4
21
111121
2
cLL
zcPPPDLLcD
4. Calculate the theoretical penetration depth of sheet pile (D)
5. Calculate L4
c
PLLcDL
.4
'...4 1214
6. Calculate p6 and p7
216 '...4 LLcp 217 '...4 LLcp
7. Obtain the actual penetration depth of sheet pile
Dactual = (1.4 – 1.6) x Dtheoretical
CALCULATION STEPSCANTILEVER SHEET PILE - CLAY
8. Calculate the maximum bending moment
with
zpzzPM
2
)'.('
26
11max
6
1'p
Pz
EXAMPLECANTILEVER SHEET PILE - CLAY
GWL
d = 15.9 kN/m3
t = 19.33 kN/m3
= 32o
c = 0 kPa
L1 = 2 m
L2 = 3 m
D
Determine the penetration depth (D) and dimension of sheet pile
Clay
sand
cu = 47 kPa
= 0 o
EXAMPLECANTILEVER SHEET PILE - CLAY
• Step 1 (Determine ka and kp)
• Step 2 (calculate p1 and p2)
• Step 3 (calculate P1 and z1)
00.12
045tan
245tan
307.02
3245tan
245tan
22
22
p
a
K
K
53.18
307.03)81.933.19()2)(9.15('..
763.9)307.0)(2)(9.15(..
2
212
11
p
KLLp
KLp
a
a
2.52151.13289.29763.92
1
2
1
1
21221111
P
LppLpLpP
kPa
kPa
kN/m 78.1
2.5233
151.1323
289.2932
3763.9
1
1
z
z
m
EXAMPLECANTILEVER SHEET PILE - CLAY
• Step 4 (obtain Dtheoretical)
• Step 5 (calculate L4)
0
472381.933.1929.15
78.147122.522.522.522381.933.199.152474
0.2'..
..12...2'...4
2
21
111121
2
DD
cLL
zcPPPDLLcD
015.3574.10464.127 2 DD D = 2.13 m
474
2.52381.933.1929.1547413.2.4
'...4
4
1214
L
c
PLLcDL
L4 = 2.13 m
EXAMPLECANTILEVER SHEET PILE - CLAY
• Step 6 (calculate p6 and p7)
• Step 7 (draw the lateral diagram)
• Step 8 (Obtain Dactual)
64.127'...4 216 LLcp
36.248'...4 217 LLcp
kN/m2
kN/m2
Dactual = 1.5 x Dtheorical = 1.5 x 2.13 = 3.2 m
EXAMPLECANTILEVER SHEET PILE - CLAY
• Calculation of moment
mkNM
zpzzPM
59.1032
41.064.12741.078.12.52
2
)'.('
2
max
26
1max
mp
Pz 41.0
64.127
2.52'
6
1
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