The base of a long retaining wall is 3m wide and is 1m below the ground surface

Question

The base of a long retaining wall is 3m wide and is 1m below the ground surface in front of the wall: the water table is well below base level. The vertical and horizontal components of the base reaction are 282 and 102 kN/m, respectively. The eccentricity of the base reaction is 0.36 m. Appropriate shear strength parameters for the foundation soil are c0 ¼ 0 and 0 ¼ 35, and the unit weight of the soil is 18 kN/m3. Determine the factor of safety against shear failure. The base of a long retaining wall is 3m wide and is 1m below the ground surface in front of the wall: the water table is well below base level. The vertical and horizontal components of the base reaction are 282 and 102 kN/m, respectively. The eccentricity of the base reaction is 0.36 m. Appropriate shear strength parameters for the foundation soil are c0 ¼ 0 and 0 ¼ 35, and the unit weight of the soil is 18 kN/m3. Determine the factor of safety against shear failure. The base of a long retaining wall is 3m wide and is 1m below the ground surface in front of the wall: the water table is well below base level. The vertical and horizontal components of the base reaction are 282 and 102 kN/m, respectively. The eccentricity of the base reaction is 0.36 m. Appropriate shear strength parameters for the foundation soil are c0 ¼ 0 and 0 ¼ 35, and the unit weight of the soil is 18 kN/m3. Determine the factor of safety against shear failure.

Explanation / Answer

The ultimate bearing capacity is given by

qf ¼ DNqiq þ 1

2

B

0

Ni

¼ ð18 1 33 0:46Þ þ 1

2

18 2:28 41 0:21

¼ 273 þ 177 ¼ 450kN=m2

; qnf ¼ qf D ¼ 432kN=m2

The net base pressure is

qn ¼ 282

2:28

18 ¼ 106kN=m2

Then the factor of safety is

F ¼ qnf

qn

¼ 432

106

¼ 4:0

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