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Question

A soil sample is subjected to a hydrostatic pressure σ. The Mohr circle for any point in the soil sample would be

A
A circle of radius σ and center at the origin
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B
A circle of radius σ and center at a distance σ from the origin
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C
A point at a distance σ from the origin
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D
A circle of diameter σ and center at the origin
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Solution

The correct option is C A point at a distance σ from the origin
Radius of Mohr circle = (σxσy2)2+τ2

Given :
σx=σy=σz=σ and τ=0

R=(σσ2)2+02=0

Centre=σx+σy2=σ+σ2=σ

Mohr circle is a point at a distance of σ from orgin.

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