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Torsion of a Saint-Venant cylinder with a non-simply connected cross-section

Jabłoński T. F.

Engineering Transactions

1999

Vol. 47, iss. 1

77-91

The Finite Element Method solution to the torsion problem of a linearly elastic, homogenous, isotropic cylinder with a non-simply connected cross-section of variable wall thickness is presented. The computed displacement, warping, stress, strain and Mises invariant are shown for several shapes of the cross-section : a rectangle with a crossbar, and rings with sinusoidal boundaries of various amplitudes and periods. The computed results enable us to analyze the shape sensitivity to warping under torsion in thick-walled cylinders with complicated cross-sectional shapes.