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Torsional rigidity is the product of

  • A.The shear modulus and the torsion constant
  • B.Young's modulus and the torsion constant
  • C.The shear modulus and the polar section modulus
  • D.The shear modulus and the cross-sectional area

Answer: A

Correct answer: The shear modulus and the torsion constant

Torsional rigidity is \( GJ \), where \( G \) is the shear modulus and \( J \) the torsion constant of the section. It plays exactly the role that \( EI \) plays in bending: the material property multiplied by a purely geometric one. Young’s modulus does not appear, because torsion loads the material in shear rather than in direct stress.

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