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Question

A bar of cross-section A is subjected to two equal and opposite tensile forces at its ends. Consider a plane section of the bar whose normal makes an angle θ with the axis of the bar.

·What is the tensile stress on this plane?

·What is the shearing stress on this plane?


A

FAcos2θ,FsinθcosθA

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B
FAsin2θ,FAcos2θ
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C

FAsin2θ,FsinθcosθA

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D
FAcos2θ,FAsin2θ
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Solution

The correct option is A

FAcos2θ,FsinθcosθA



A1=Acosθ
Tensile stress =FcosθA=FAcos2θ
shear stress=FsinθA1=FsinθcosθA


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