Question

A ${40}^{\circ }$ slope is excavated to a depth of 10 m in a deep layer of saturated clay of unit weight $20kN/m^3$, if the relevant shear strength parameters are $C_u=72kN/m^2$ and ${\varphi }_u=0$. The Taylor's stability coefficient for ${\varphi }_u=0$ and ${40}^{\circ }$ slope 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 coefficient
$N_s=\frac{C}{F_C\gamma H}$

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

$F_C=2$