[Solved] If the water table rises to the ground level of a footing re (2024)

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DSSSB JE CE 2019 Official Paper Shift 1 (Held on 23 Oct 2019)

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  1. Doubles
  2. Remains same
  3. Reduced to one third
  4. Reduces to half

Answer (Detailed Solution Below)

Option 4 : Reduces to half

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[Solved] If the water table rises to the ground level of a footing re (1)

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Explanation:

Ultimate bearing capacity for shallow foundation is given by

qu= CNc+γDfNq+ 0.5BγNγ

Where, C = unit cohesion of soil, Df = Depth of foundation

γ = Unit weight of soil

Nc, Nq, Nγ= Bearing capacity factor which depends upon friction angle

For sand, C = 0, then for normal condition

qu1=γDfNq+ 0.5BγNγ

When the water table rises to the ground level then the soil becomes in submerged condition thenγsubused in the place ofγ

γsub= 0.5×γ

qu2subDfNq+ 0.5BγsubNγ

qu2= 0.5× (γDfNq+ 0.5BγNγ)

qu2= 0.5× qu1

Hence, thewater table rises to the ground level of a footing resting on cohesionless soils, the bearing capacity approximatelyreduces to half.

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