Structures·MCQ explained

Which of the following sections is best in torsion?

Try it first: pick an option, then read the explanation.

Correct answer: B. Hollow circular

Asked in SSC JE 01/03/2017 (Evening)

Detailed Explanation

In a shaft the shear stress grows linearly from zero at the centre. Material near the centre carries little stress and adds little to J.

Why “Hollow circular” Is Correct

A hollow circular section places material where the stress is high, giving the greatest torsional strength and stiffness per unit weight, with no warping.

τmax0 at centreSolid shaftτmaxτmax·ri/rozero in the holeHollow shaft
Torsional shear stress grows linearly from the centre (zero) to the outer surface (maximum). In a hollow shaft the stress starts at τmax·ri/ro at the inner surface.

Why the Other Options Are Wrong

  • A. Solid circular: Solid circular works, but its core material is under-used — less efficient per unit weight.
  • C. Triangular: Triangular sections warp and have low torsional constants.
  • D. Rectangular: Rectangular sections warp and have stress concentration at the mid-side; weak in torsion.

Key Point

Best torsion section: hollow circular (closed, thin-walled, material far from the axis).

Key Concepts for Students

  • Closed sections are far stiffer in torsion than open ones.
  • Drive shafts and tubes exploit this.
  • Hollow shaft with d/D = 0.5 saves 25% weight for a 6% loss of strength.

Practice more: this is question 22 in Torsion MCQs – Part 2. Try the whole set and check every answer instantly.