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Assertion (A): A doubly symmetric box has its shear centre at the centroid.

Reason (R): Each axis of symmetry constrains the shear centre to lie on it.

Select the correct answer from the options below.

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

Answer: D

Both are true and the second explains the first. Two axes of symmetry fix both coordinates at their intersection. The consequence is that bending and torsion decouple naturally in such a box, which is a considerable analytical convenience.

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