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Consider the following statements about a hollow versus a solid circular shaft:

1. For the same weight the hollow shaft is stiffer in torsion.

2. Material near the axis contributes little to torsional stiffness.

3. The hollow shaft carries uniform shear stress across its wall.

Which of the statements given above is or are correct?

  • A.1 and 3 only
  • B.2 and 3 only
  • C.1, 2 and 3
  • D.1 and 2 only

Answer: D

Correct answer: 1 and 2 only

Statements 1 and 2 are correct and they are the same fact from two sides: shear stress and hence the contribution to stiffness grow with radius, so material near the axis earns little and is better placed at the outside. Statement 3 is an approximation rather than a truth - the stress still varies linearly across the wall, and only for a thin wall is it nearly uniform.

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