A vertical cut is to be made in a soil mass having cohesion c- angle of internal friction - and unit weight - Considering Ka and Kp as the coefficient of active and passive earth pressures- respectively- the maximum depth of unsupported excavation is

0 = K_aγ Z_0 2C√(K_a) Z_0=2Cγ√(K_a)⇒ Z_max=4Cγ√(K_a) ...

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Foundation Engineering

Coulomb Wedge Theory

A vertical cu...

Question

A vertical cut is to be made in a soil mass having cohesion c, angle of internal friction $ϕ$ , and unit weight $γ$ . Considering $K_{a} a n d K_{p}$ as the coefficient of active and passive earth pressures, respectively, the maximum depth of unsupported excavation is

\frac{4 c}{γ \sqrt{K_{p}}}

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\frac{2 c \sqrt{K_{p}}}{γ}

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\frac{4 C \sqrt{K_{a}}}{γ}

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\frac{4 c}{γ \sqrt{K_{a}}}

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Solution

The correct option is D $\frac{4 c}{γ \sqrt{K_{a}}}$
$0 = K_{a} γ Z_{0} - 2 C \sqrt{K_{a}}$

$Z_{0} = \frac{2 C}{γ \sqrt{K_{a}}} \Rightarrow Z_{m a x} = \frac{4 C}{γ \sqrt{K_{a}}}$

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Similar questions

Q. An unsupported excavation is made to the maximum possible depth in a clay soil having

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A vertical cut is to be made in a soil mass having cohesion c, angle of internal friction ϕ, and unit weight γ. Considering KaandKp as the coefficient of active and passive earth pressures, respectively, the maximum depth of unsupported excavation is

The correct option is D 4cγ√Ka0=KaγZ0−2C√Ka Z0=2Cγ√Ka⇒Zmax=4Cγ√Ka

A vertical cut is to be made in a soil mass having cohesion c, angle of internal friction $ϕ$ , and unit weight $γ$ . Considering $K_{a} a n d K_{p}$ as the coefficient of active and passive earth pressures, respectively, the maximum depth of unsupported excavation is

The correct option is D $\frac{4 c}{γ \sqrt{K_{a}}}$
$0 = K_{a} γ Z_{0} - 2 C \sqrt{K_{a}}$

$Z_{0} = \frac{2 C}{γ \sqrt{K_{a}}} \Rightarrow Z_{m a x} = \frac{4 C}{γ \sqrt{K_{a}}}$