Torsion of an Elastic Beam with Triangular Cross Section

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This Demonstration shows a 3D plot of the analytic solution representing the torsion of a prism with equilateral triangular cross section. This is based on the method of Saint-Venant [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] Saint-Venant in C. Navier, Résumé des leçons données à l’École des ponts et chaussées sur l’application de la mécanique [...]. De la résistance des corps solides. Troisième édition avec des notes et des appendices par M. Barré de Saint-Venant, Paris: Dunod, 1864, p. 283.

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

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