A thin-walled circular tube and a solid circular barof the same material (see figure) are subjected totorsion. 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 tubeto the strain energy U2 in the solid bar if the maxi-mum shear stresses are the same in both cases? (Fortube, use approximate theory for thin-walled bars.)

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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. 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.)

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.)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Strain energy

The term strain indicates the variation in an object's length, area, and volume when the object is subjected to an external force. The external force may be of normal, shear, moment, torque, etc. The strain in an object depends on the types of external force and cross-section of the object. Mathematically, the evaluation of strain can be obtained with the help of elastic constants.

Question

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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