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Question

A point load of 700 kN is applied on the surface of thick layer of saturated clay. Using Boussinesq's elastic analysis, the estimated vertical stress (σv) at a depth of 2m and a radial distance of 1.0 m from the point of application of the load is:

A
47.5 kPa
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B
47.6 kPa
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C
47.7 kPa
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D
47.8 kPa
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Solution

The correct option is D 47.8 kPa
Apply Boussinesq's equation.

σv=32πQz2⎢ ⎢ ⎢11+(rz)2⎥ ⎥ ⎥5/2

=32π×700(2)2⎢ ⎢ ⎢ ⎢ ⎢11+(12)2⎥ ⎥ ⎥ ⎥ ⎥5/2

=47.8kN/m2

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