(b) The cross section of a slope is shown in Figure Q.2(b). The unit weight of the soil both above and below the water t
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(b) The cross section of a slope is shown in Figure Q.2(b). The unit weight of the soil both above and below the water t
both above and below the water table is 18 kN/m3
, and the relevant shear strength
parameters of the soil are, c’= 20 kN/m2
and φ’= 15° respectively. Assuming
no tension crack is developed, and using the Simplified Bishop method of slices
for the given failure surface using 5 slices with dimensions given in Table Q.2(b),
(i) show by calculation that the factor of safety in terms of effective stress is 1.1
when there is NO surcharge; and
(14 marks)
(ii) calculate the maximum surcharge load that can be applied on the top of slice
5 if the factor of safety is not to be less than 1.0. (13 marks)
(b) The cross section of a slope is shown in Figure Q.2(b). The unit weight of the soil both above and below the water table is 18kN/m². Assuming no tension crack is developed, and using the Simplified Bishop method of slices for the given failure surface using five slices with dimensions given in Table Q.2(b), (i) Check if the current factor of safety in terms of effective stress is exceeding 1.4 when no surcharge is applied. (16 marks) (i) Calculate the maximum surcharge load that can be applied on the top of slice 5 if the factor of safety is not to be less than 1.0. (6 marks) Soil parameters: c' = 2 kN/m² Surcharge Please refer to the question = 32° Piezometric level A Slice No. 1 2 3 45 b (m) 2.5 2.5 2.5 2.5 2.5 22 h Figure Q.2(b) Table Q.2(b) h (m) 3.0 5.0 7.0 8.0 6.0 ||14| hw (m) 2.0 3.0 4.0 3.5 2.0 a (degree) -10 -S 15 40 60