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A bar of cross-section A is subjected to equal and opposite tensile forces at its ends. Consider a plane section of the bar whose normal makes an angle 0 with the axis of the bar
?(i) What is the tensile stress on this plane?
(ii) What is the shearing stress on this plane?
Verified Answer
A bar of cross-section A is subjected to equal and opposite tensile fo...

FN = Normal force = F cos θ

AN = Area = A / cos θ

Tensile stress = Normal force / Area = F cos θ / (A / cos θ) = F cos^2θ / A

Shearing stress = Tangential force / Area = F sin θ / A cos θ = F sin 2θ / 2A

The shearing stress is maximum if sin 2θ = 1 or 2θ = 90^0 or θ = 45^0
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A bar of cross-section A is subjected to equal and opposite tensile forces at its ends. Consider a plane section of the bar whose normal makes an angle 0 with the axis of the bar?(i) What is the tensile stress on this plane?(ii) What is the shearing stress on this plane?
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