GATE Civil Engineering (CE) 2020 Shift 2 Solved Paper

Question : 61 of 65

Marks: +1, -0

A concrete dam holds

10 {m}

of static water as shown in the figure (not drawn to the scale). The uplift is assumed to vary linearly from full hydrostatic head at the heel, to zero at the toe of dam. The coefficient of friction between the dam and foundation soil is

0.45 .

Specific weights of concrete and water are

24 {kN} {/} {m}^{3}

and

9.81 {kN}{/} {m}^{3}

, respectively.

For NO sliding condition, the required minimum base width B (in m, round off to two decimal places) is _______.

Your Answer:

Validate

Solution:

For no sliding, minimum width of dam

B_{\min }=\;{H}/{µ(G-1)}

Here

H=10 {m}

µ=0.45

G=2.4

∴ B_{\min }=\;{10}/{0.45(2.4-1)}=15.873 {m}

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