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Assertion (A): A Z-section beam loaded by a purely vertical moment deflects sideways as well as downward.

Reason (R): The Z-section has no axis of symmetry, so its product of inertia is non-zero.

Select the correct answer from the options below.

  • A.A is false but R is true
  • B.Both A and R are true, and R is the correct explanation of A
  • C.Both A and R are true, but R is not the correct explanation of A
  • D.A is true but R is false

Answer: B

Both are true and the second explains the first. A non-zero product of inertia couples the two curvature equations, so the neutral axis inclines and the beam bends about an axis that is not the one the moment was applied about. It is the standard demonstration of unsymmetric bending.

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