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A vertical cut is to be made in a soil mass having cohesion $c,$ angle of internal friction $\varphi$, and unit weight $y$. Considering $K_{\omega}$ and $K_{p}$ as the coefficients of active and passive earth pressures, respectively, the maximum depth of unsupported excavation is
(A) $\frac{4 c}{\gamma \sqrt{K_{p}}}$
(B) $\frac{2 c \sqrt{K_{p}}}{\gamma}$
(C) $\frac{4 c \sqrt{K_{a}}}{\gamma}$
$\text { (D) } \frac{4 c}{\gamma \sqrt{K_{0}}}$


Question ID - 156293 | Toppr Answer

A vertical cut is to be made in a soil mass having cohesion $c,$ angle of internal friction $\varphi$, and unit weight $y$. Considering $K_{\omega}$ and $K_{p}$ as the coefficients of active and passive earth pressures, respectively, the maximum depth of unsupported excavation is
(A) $\frac{4 c}{\gamma \sqrt{K_{p}}}$
(B) $\frac{2 c \sqrt{K_{p}}}{\gamma}$
(C) $\frac{4 c \sqrt{K_{a}}}{\gamma}$
$\text { (D) } \frac{4 c}{\gamma \sqrt{K_{0}}}$

1 Answer - 5876 Votes

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Answer Key : (D) -

$\frac{4 c}{\gamma \sqrt{K_{o}}}$



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