Torsion of an Elastic Beam with Elliptic Cross Section

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This Demonstration shows in 3D the analytic solution of the torsion of a prism with elliptical cross section as presented in [1].

Contributed by: Maurizio Brocato (February 2020)
Open content licensed under CC BY-NC-SA



Details are given in textbooks on the theory of elasticity or on structural mechanics including elements of the theory of elastic beams. For instance, see [2].


[1] A.-J.-C. Barré de Saint-Venant, De la torsion des prismes avec des considérations sur la flexion ainsi que sur l’équilibre des solides élastiques [...], Paris: Imprimerie Impériale, 1855 p. 109.

[2] M. Brocato, Cours de mécanique des structures. Volume 1. Poutres élastiques, Paris: Presses des Ponts, forthcoming.

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