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The maximum shear stress for a solid cylindrical bar having diameter D, and torsional moment equal to M will be _______

The maximum shear stress for a solid cylindrical bar having diameter D, and torsional moment equal to M will be _______ Correct Answer 16M/πD3

The Shear stress is equal to -> M*r/J; Where M is the torsional moment, r is the distance of the point from the center of the cylinder, J is the moment of inertia. -> So J=πD4/32 The shear stress will be maximum when the r is equal to D/2 or at the surface of the cylinder. So, substitute the values in the equation; -> M*r/J = 16M/πD3.

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