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Question

A bar is subjected to equal and opposite forces as shown in the figure. PQRS is a plane making angle θ with the cross-section of the bar. If the area of cross-section be ‘A’, then what is the shearing stress on PQ



A
FAcosθ
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B
Fsin2θ2A
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C
F2A sin 2θ
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D
FcosθA
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Solution

The correct option is B Fsin2θ2A

Shear stress =Tangential forceArea=Fsinθ(Acosθ)=FsinθcosθA=Fsin2θ2A

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