Question

A ${40}^{\circ }$ slope is excavated to a depth of 10m in a deep layer of saturated clay of unit weight 20$KN/m^3$, the relevant shear strength parameters are $c_u=72KN/m^2$ and ${\varphi }_u=0$. The rock ledge is at a great depth. The Taylor's stability coefficient for ${\varphi }_u=0$ and ${40}^{\circ }$ slope angle is 0.18. The factor of safety of the load is

• A. 2.0
• B. 2.1
• C. 2.2
• D. 2.3

Answer 1

The correct option is A 2.0

Taylor's stability co-efficient

$S_n=\frac{c}{F_c\gamma H}$

$0.18=\frac{72}{F_c\times 20\times 10}$

$F_c=2$