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A closed thin-walled tube has thickness, t, mean enclosed area within the boundary of the centreline of tube’s thickness, Aₘ, and shear stress, τ. Torsional moment of resistance, T, of the section would be

1. 0.5 τ Aₘ t
2. τ Aₘ t
3. 2 τ Aₘ t
4. 4 τ Aₘ t

Correct answer: 2 τ Aₘ t

Solution

The torsional moment of resistance for a closed thin-walled tube is derived from the shear stress acting over the mean enclosed area and the thickness of the tube. The factor of 2 accounts for the contribution of shear stress across both walls of the tube, leading to the formula T = 2 τ Aₘ t.

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