Abstract
The refined theory of torsional deformation of a circular shaft is proposed on the basis of the classical elasticity theory. The refined theory provides the solutions of torsional deformation of a circular shaft without ad hoc assumptions. Exact solutions, including a Saint-Venant’s solution part and a transcendental part, are obtained for a circular shaft with homogeneous boundary conditions, and the decomposed theorem is given and proved. The approximate solutions are derived for a circular shaft under reverse direction surface loading by dropping terms of high order. To illustrate the application of the theory developed, two examples are examined.
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Zhao, Bs., Gao, Y. & Wu, XE. A refined theory of torsional deformation of a circular shaft. Acta Mech 207, 1–10 (2009). https://doi.org/10.1007/s00707-008-0105-8
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DOI: https://doi.org/10.1007/s00707-008-0105-8