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Question

If the principal stresses at a point in a stressed body are 150 kN/m2 tensile and 50 kN/m2 compressive, then maximum shear stress at this point will be

A
100 kN/m2
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B
150 kN/m2
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C
200 kN/m2
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D
250 kN/m2
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Solution

The correct option is A 100 kN/m2
Maximum shear stress,
τmax=σ1σ22
Given σ1=1500kN/m2
σ2=50kN/m2
τmax=150+502=100 kN/m2

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