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Question

At the base of a gravity dam section, the vertical stress at toe was found to be 3.6 MPa. If the downstream face of dam has slope of 0.707 H : 1 V and if there is no tail water, then the maximum principal stress at the toe of the dam is

A
3 MPa
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B
4.5 MPa
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C
3.5 MPa
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D
5.4 MPa
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Solution

The correct option is D 5.4 MPa

tanα=BH=0.707

tan2α=0.5

(pmax)toe=3.6MPa

αmax=(pmax)toe×sec2α

=(pmax)toe(1+tan2α)

=3.6(1+0.5)

=5.4MPa

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