Discussion
Assertion (A): Warping always produces additional direct stresses in a member under torsion.
Reason (R): Warping is an out-of-plane axial displacement of the cross-section.
Select the correct answer from the options below.
Answer: D
The assertion is false and the reason is true. Warping generates direct stress only when it is restrained, for instance at a built-in end or a heavy fitting. A member free to warp develops no such stresses and pure torsion theory applies unchanged.
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