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Question

Two circular footings of diameters D and 3D are resting on the surface of same purely cohesive soil. The ratio of their ultimate bearing capacity is

A
1
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B
9
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C
1/3
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D
3
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Solution

The correct option is A 1
Ultimate bearing capacity of soil (Under circular footing)

qu=1.3 CNC+γDfNq+0.5 DγNγ

Since soil is purely cohesive

Nc=5.7,Nq=1,Nγ=0

(Bearing Capacity Parameters)

D= Diameter of footing

Df=0 (Depth of footing) (since footing is kept on surface)

qu=1.3 CNC. independent of Diameter

So, ratio will be 1

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