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## The width of a square footing and the diameter of a circular footing are equal. If both the footings are placed on the surface of sandy soil, the ratio of the ultimate bearing capacity of circular footing to that of square footing will be (GATE-CIVIL-Engg-2018)

The width of a square footing and the diameter of a circular footing are equal. If both the
footings are placed on the surface of sandy soil, the ratio of the ultimate bearing capacity of
circular footing to that of square footing will be
(A) 4/3 (B) 1 (C) 3/4 (D) 2/3

Asked On2019-04-11 14:02:22 by:naikaumprakash

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Given : Width of square footing ( )
B Diameter of circular footing ( ) D
To find : Ratio of ultimate bearing capacity of circular footing to
ultimate bearing capacity of square footing .i.e., ?
circular square u u q q 
Ultimate bearing capacity :
For square footing : 1.3 0.4 c fq cN D N
BN    
For circular footing : 1.3 0.3 c
fq cN D N DN    
For sandy soil, c  0 and since the footing is placed on surface, hence depth of foundation, 0 Df  .
Hence, ( ) 0.3 ( ) 0.4 u circular u square q DN q BN      ( ) 3 () 4 u circular u square q q   [ ]
The ratio of the ultimate bearing capacity of circular footing to that of square footing will be 4/3 .

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