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Advanced Mechanics of Materials and Applied Elasticity, Fifth Edition by Saul K. Fenster, Ansel C. Ugural

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Chapter 6. Torsion of Prismatic Bars

6.1 Introduction

In this chapter, consideration is given to stresses and deformations in prismatic members subject to equal and opposite end torques. In general, these bars are assumed free of end constraint. Usually, members that transmit torque, such as propeller shafts and torque tubes of power equipment, are circular or tubular in cross section. For circular cylindrical bars, the torsion formulas are readily derived employing the method of mechanics of materials, as illustrated in the next section. We shall observe that a shaft having a circular cross section is most efficient compared to a shaft having an arbitrary cross section.

Slender members with other than circular cross sections are also often used. ...

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