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The angle of twist of a shaft under torque is proportional to

  • A.The torque divided by the length
  • B.The torsional rigidity divided by the torque
  • C.The torque times the torsional rigidity
  • D.Torque times length, over rigidity

Answer: D

Correct answer: Torque times length, over rigidity

The relation is \[ \theta = \frac{TL}{GJ}, \] which is the torsional counterpart of \( \delta = PL/AE \) in axial loading. Twist grows with the torque applied and with the length over which it acts, and falls as the torsional rigidity rises - so rigidity appears in the denominator, not multiplied.

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