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Course of The First World War - Eastern War Front

A vertical wa...

Question

A vertical wall 6m high above the water table retains a $20^{\circ}$ soil slope, the retained soil has a unit weight of $18 K N / m^{3}$ , the appropriate shear strength parameters are C = 0 and $ϕ = 40^{\circ}$ . The coefficient of active earth pressure to be used in estimating the active pressure acting on the wall is
0.25

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Solution

The correct option is A 0.25

Coefficient of active earth pressure

$K_{a} = \frac{c o s β - \sqrt{c o s^{2} β - c o s^{2} ϕ}}{c o s β + \sqrt{c o s^{2} β - c o s^{2} ϕ}} . c o s β$

$K_{a} = \frac{c o s 20^{\circ} - \sqrt{c o s^{2} 20^{\circ} - c o s^{2} 40^{\circ}}}{c o s 20^{\circ} + \sqrt{c o s^{2} 20^{\circ} - c o s^{2} 40^{\circ}}} . c o s 20^{\circ}$

$K_{a} = 0.250$

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