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GATE Exam Questions

Q1: A 40° slope is excavated to a depth of 10 m in a deep layer of saturated clay of unit weight 20 kN.m3; the relevant shear strength parameters are cu = 70 kN/m2 and φu = 0. The rock ledge is at a great depth. The Taylor's stability coefficient for φu = 0 and 40° slope angle is 0.18. The factor of safety of the slope is :

A 2.0

B 2.1

C 2.2

D 2.3

ANS:A - 2.0

Shear strength parameters are cu = 70 kN/m2,
Saturated clay of unit weight = 20 kN/.m3,
Coefficient for φu = 0.18,
Excavated to a depth =10m,
Factor of safety=(Cu/(coefficient*h*unit weight).
= (70/(0.18*10*20).
= 2.



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