Affiliation:
1. Department of Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
Abstract
In this paper, torsional analysis of hollow bars with specially shaped non-circular cross-sections is presented. The well-known formulation of the torsion problem in complex variable theory is used to obtain an expression for shear stresses, angle of twist and cross-sectional warping. The most important part of the solution of the torsion problem here is to obtain an appropriate closed-form conformal mapping for specially shaped cross-sections. The obtained mapping is used to achieve a solution for torsion problem of bars with specially shaped hollow cross-section. Finally, the calculated results are compared with the finite-element method solution. The presented solution is capable of accurately predicting the angle of twist, warping, and shear stress in the studied hollow bars.
Subject
Mechanics of Materials,General Materials Science,General Mathematics
Cited by
2 articles.
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