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In the torsion of a circular shaft, the shear stress varies across the section

  • A.Linearly with radius, zero at the centre
  • B.Uniformly across the whole section
  • C.Linearly, from a maximum at the centre to zero at the surface
  • D.Parabolically, peaking at mid-radius

Answer: A

Plane sections remain plane and radii remain straight in a circular shaft, so the shear strain and hence the stress grow in direct proportion to radius. Material near the axis is therefore barely worked, which is exactly why a hollow shaft is so much more efficient.

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