Question

A square footing 2 m is built in a homogeneous bed of non-cohesive soil of density 2 tonnes/m3 and has an angle of shearing of 38∘ . The depth of the base of footing is 1 m below the surface. Calculate the safe load in tons that can be carried by the footing with a factor of safety of 3 against complete failure . Adopt Terzaghi's bearing capacity factors Nq = 47 andNγ = 64.

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Solution

The correct option is **A** 267 tons

qs=[γ.D(Nq−1)+0.4.γ.B.NγF]+γD

=[2×1×(47−1)+0.4×2×2×64]3+2×1

=66.8t/m2

Maximum safe load=B2×qs

=22×66.8

=267.2 tons

qs=[γ.D(Nq−1)+0.4.γ.B.NγF]+γD

=[2×1×(47−1)+0.4×2×2×64]3+2×1

=66.8t/m2

Maximum safe load=B2×qs

=22×66.8

=267.2 tons

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