A thin-walled circular tube and a solid circularbar of the same material (see figure) are subjectedto torsion. The tube and bar have the samecross-sectional area and the same length.What is the ratio of the strain energy U1 in the tubeto the strain energy U2 in the solid bar if the maximumshear stresses are the same in both cases? (For thetube, use the approximate theory for thin-walled bars.) Tube (1)Bar (2)

Given:- The torsion is applied to the circular tube and a solid circular bar The material of both…

Answered: Tube (1) Bar (2)

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A thin-walled circular tube and a solid circular
bar of the same material (see figure) are subjected
to torsion. The tube and bar have the same
cross-sectional area and the same length.
What is the ratio of the strain energy U₁ in the tube
to the strain energy U₂ in the solid bar if the maximum
shear stresses are the same in both cases? (For the
tube, use the approximate theory for thin-walled bars.)

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