If the base width of an elementary profile of a gravity dam of he

If the base width of an elementary profile of a gravity dam of he
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If the base width of an elementary profile of a gravity dam of height H is B. The specific gravity of the material of the dam is G and uplift pressure coefficient is K and μ is the coefficient of friction then the correct match of the item in Group I with the item in Group II as listed below:

Group I

Group II

P. for No tension failure

1. \({B_{min}} = \frac{H}{{\sqrt {2\left( {G - K} \right)} }}\)

Q. for No overturning

2. \({B_{min}} = \frac{H}{{\mu \left( {G - K} \right)}}\)

R. for No sliding failure

3. \({B_{min}} = \frac{H}{{\sqrt {G - K} }}\)

A. P - 1, Q - 2, R - 3

B. P - 3, Q - 1, R - 2

C. P - 2, Q - 3, R - 1

D. P - 1, Q - 3, R - 2

Please scroll down to see the correct answer and solution guide.

Right Answer is: B

SOLUTION

For no tension failure

\({B_{min}} = \frac{H}{{\sqrt {G - K} }}\)

\({B_{critical}} = \frac{H}{{\sqrt G }}\;\left( {K = 0} \right)\)

For no overturning

\({B_{min}} = \frac{H}{{\sqrt {2\left( {G - K} \right)} }}\)

\({B_{critical}} = \frac{H}{{\sqrt {2G} }}\;\left( {K = 0} \right)\)

For no sliding failure

\({B_{min}} = \frac{H}{{\mu \left( {G - K} \right)}}\)

\({B_{min}} = \frac{H}{{\mu G}}\;\left( {K = 0} \right)\)