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Question

In a rectangular element subjected to like principal tensile stresses 'ρ1 and ρ2' in two mutually perpendicular directions X and Y, the maximum shear would occur along the

A
plane normal to X-axis
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B
plane normal to Y-axis
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C
plane at 45° to Y-direction
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D
plane at 45° and 135° to the Y-direction
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Solution

The correct option is D plane at 45° and 135° to the Y-direction
The shear stress τ=(σ1σ22)sin2θ

where, θ is the angle of inclination of the plane of major principal stress.

sin2θ=1

θ=45and135
with y-direction (planeofp1)


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