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. Tube (1) Bar (2) What is the ratio of the strain energy Ui in the tube to the strain energy U2 in the solid bar if the maxi- mum shear stresses are the same in both cases? (For tube, use approximate theory for thin-walled bars.)

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter3: Torsion
Section: Chapter Questions
Problem 3.11.6P: A thin-walled circular tube and a solid circular bar of the same material (see figure) are subjected...
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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-
Tube (1)
sectional area and the same length.
Bar (2)
What is the ratio of the strain energy Ui in the tube
to the strain energy U2 in the solid bar if the maxi-
mum shear stresses are the same in both cases? (For
tube, use approximate theory for thin-walled bars.)
Transcribed Image Text: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- Tube (1) sectional area and the same length. Bar (2) What is the ratio of the strain energy Ui in the tube to the strain energy U2 in the solid bar if the maxi- mum shear stresses are the same in both cases? (For tube, use approximate theory for thin-walled bars.)
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