GATE CE 2019 Set 2 — Question 15
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Structural Engineering → Torsion, Stress Transformation & Columns → Uniform Torsion
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Question
A closed thin-walled tube has thickness, , mean enclosed area within the boundary of the centerline of tube's thickness, , and shear stress, . Torsional moment of resistance, , of the section would be
Correct answer
(C) 2τ Aₘ t
Solution
According to the Bredt-Batho theory for torsion of thin-walled closed sections, the shear stress is related to the torsional moment by the formula:Rearranging for , we get:
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