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Foundation Engineering

Coulomb Wedge Theory

Surcharge loa...

Question

Surcharge loading required to be placed on the horizontal backfill of a smooth retaining vertical wall so as to completely eleminate tensile crack is

A

2c

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B

2 c K_{a}

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C

2 c \sqrt{K_{a}}

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D

2 c / \sqrt{K_{a}}

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Solution

The correct option is D $2 c / \sqrt{K_{a}}$

$P_{a} = K_{a} q$

$2 c \sqrt{K_{a}} = K_{a} q$

$q = \frac{2 c}{\sqrt{K_{a}}}$

To completely eliminate tensile crack which occurs upto $Z_{0}$ , surcharge intensity should be $2 c / \sqrt{K a}$

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