A line of sheet piling is driven 4m into a firm clay and retains, on one side, a

Question

A line of sheet piling is driven 4m into a firm clay and retains, on one side, a 3m depth of fill on top of the clay. Water table level is at the surface of the clay. The unit weight of the fill is 18 kN/m3 and the saturated unit weight of the clay is 20 kN/m3. Calculate the active and passive pressures at the lower end of the sheet piling (a) if cu ¼ 50 kN/m2, cw ¼ 25 kN/m2 and u ¼ ¼ 0 and (b) if c0 ¼ 10 kN/m2, cw ¼ 5 kN/m2, 0 ¼ 26 and ¼ 13, for the clay A line of sheet piling is driven 4m into a firm clay and retains, on one side, a 3m depth of fill on top of the clay. Water table level is at the surface of the clay. The unit weight of the fill is 18 kN/m3 and the saturated unit weight of the clay is 20 kN/m3. Calculate the active and passive pressures at the lower end of the sheet piling (a) if cu ¼ 50 kN/m2, cw ¼ 25 kN/m2 and u ¼ ¼ 0 and (b) if c0 ¼ 10 kN/m2, cw ¼ 5 kN/m2, 0 ¼ 26 and ¼ 13, for the clay A line of sheet piling is driven 4m into a firm clay and retains, on one side, a 3m depth of fill on top of the clay. Water table level is at the surface of the clay. The unit weight of the fill is 18 kN/m3 and the saturated unit weight of the clay is 20 kN/m3. Calculate the active and passive pressures at the lower end of the sheet piling (a) if cu ¼ 50 kN/m2, cw ¼ 25 kN/m2 and u ¼ ¼ 0 and (b) if c0 ¼ 10 kN/m2, cw ¼ 5 kN/m2, 0 ¼ 26 and ¼ 13, for the clay

Explanation / Answer

(a) For

u ¼ 0, Ka ¼ Kp ¼ 1

Kac ¼ Kpc ¼ 2

ffiffiffiffiffiffiffi

1:5 p

¼ 2:45

At the lower end of the piling:

pa ¼ Kaq þ Kasatz Kaccu

¼ ð1 18 3Þ þ ð1 20 4Þ ð2:45 50Þ

¼ 54 þ 80 122:5

¼ 11:5kN=m2

pp ¼ Kpsatz þ Kpccu

¼ ð1 20 4Þ þ ð2:45 50Þ

¼ 80 þ 122:5

¼ 202kN=m2

(b) For

0 ¼ 26 and ¼

1

2

0

Ka ¼ 0:35

Kac ¼ 2

ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi

ð0:35 1:5Þ

p

¼ 1:45 ðEquation 6:19Þ

Kp ¼ 3:7

Kpc ¼ 2

ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi

ð3:7 1:5Þ

p

¼ 4:7 ðEquation 6:24Þ

At the lower end of the piling:

pa ¼ Kaq þ Ka0z Kacc0

¼ ð0:35 18 3Þ þ ð0:35 10:2 4Þ ð1:45 10Þ

¼ 18:9 þ 14:3 14:5

¼ 18:7kN=m2

pp ¼ Kp0z þ Kpcc0

¼ ð3:7 10:2 4Þ þ ð4:7 10Þ

¼ 151 þ 47

¼ 198kN=m2

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