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Theory of Cylindrical Bars Subjected to Torsion

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Introduction to the Mechanics of Deformable Solids
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Abstract

In the previous chapter, we dealt with loadings that were applied uniquely in the long direction of a bar. In this chapter, we deal with moments that are applied uniquely about the long axis of a bar and we call this as torsion. The theory of torsion of bars will be developed in a manner that is quite analogous to that developed for uniaxial bars in Chap. 3, despite the fact that the physics of the two problems are quite different. Furthermore, it will be shown that the mathematical model for torsion bears a remarkable resemblance to the theory of uniaxial bars. Thus, the student that has paid careful attention in the previous chapter will find that diligence does indeed pay off.

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Notes

  1. 1.

    1 Note: any italicized statement in the text constitutes a model assumption.

References

  • Oden J, Ripperger E (1981) Mechanics of elastic structures, 2nd edn. McGraw-Hill, New York

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Allen, D.H. (2013). Theory of Cylindrical Bars Subjected to Torsion. In: Introduction to the Mechanics of Deformable Solids. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4003-1_4

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  • DOI: https://doi.org/10.1007/978-1-4614-4003-1_4

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-4002-4

  • Online ISBN: 978-1-4614-4003-1

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