Assertion (A): To a cantilever beam of circular cross-section, if a moment is applied
with its axis perpendicular to the axis of beam, no shear stress will be induced in the
beam.
Reason (R): To the above beam, if moment is applied with its axis along the axis of
the beam, no bending stress will be induced in the beam.
A is true but R is false
Assertion (A):
A moment applied perpendicular to the axis of a circular beam produces pure bending. In pure bending, normal (bending) stress is induced, while shear stress is zero.
Assertion is Correct.
Reason (R): If the moment is applied along the axis of the beam, it produces torsion (twisting). A circular shaft under pure torsion develops only shear stress and no bending (normal) stress.
Reason is also Correct. Hence, the Reason is also correct, and it is the correct justification for the Assertion
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