In which of the following two dimensional state of stress, Mohr’s stress circle takes the shape of a point.

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UPPSC AE Mechanical 2013 Official Paper I

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Answer 1

Concept:

When the normal stresses on the two mutually perpendicular planes are equal and alike then the radius of the Mohr circle will be zero.

\({\rm{Radius\;of\;Mohr's\;Circle}},R = \sqrt {{{\left( {\frac{{{\sigma _x} - {\sigma _y}}}{2}} \right)}^2} + {\tau _{xy}}^2} \)

Only in figure 3, we can see that

\({\sigma _x} = {\sigma _y}\;and\;{\tau _{xy}} = 0\)

∴ option 3 is the correct answer

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