Session 13 – 14 SHEET PILE STRUCTURES Course: S0484/Foundation Engineering Year: 2007 Version: 1/0

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


Fixed Earth Support


Free Earth Support


Free Earth Support


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)


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


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


• 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


• 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


• 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


• Step 8 (determine L4)



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


• 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



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


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


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


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


• Step 1 (Determine ka and kp)


• 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


• 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



• 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


• 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

Documents

Session 13 – 14 SHEET PILE STRUCTURES Course: S0484/Foundation Engineering Year: 2007 Version: 1/0