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Consider the following statements about torsion of a circular shaft:

1. Shear stress varies linearly with radius.

2. The section does not warp.

3. The torsion constant differs from the polar second moment of area.

Which of the statements given above is or are correct?

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

Answer: B

The first two are correct. The third is false precisely for a circular section: it is the one case in which the torsion constant and the polar second moment of area coincide, which is why the elementary theory works exactly there.

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