Geodesic
Torsion of beams of L-cross-section
Glasgow mathematical journal, Tome 5 (1962) no. 4, pp. 176-182

Voir la notice de l'article provenant de la source Cambridge University Press

The torsion of beams of L-cross-section was studied for the first time, from a mathematical standpoint, by Kotter [1]. He solved the problem in the case of an L-section both arms of which are infinite. Some time later, Trefftz [2], in his work on the torsion of beams of polygonal cross-section, applied his method also to an infinite L-section. In 1934, Seth [3] solved the case of a beam of an L-section with only one infinite arm. In 1949, Arutyanyan [4] solved the torsion problem of an L-section that has both arms finite, but of equal length, reducing the problem to that of solving an infinite system of equations. 
Torsion of beams of L-cross-section. Glasgow mathematical journal, Tome 5 (1962) no. 4, pp. 176-182. doi: 10.1017/S2040618500034559
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[1] 1.Kötter, K., Über die Torsion des Winkeleisens, S. -B. Kgl. Preuss. Akad. Wiss., Math.-Phys. Klasse (1908), 935–955. Google Scholar

[2] 2.Trefftz, E., Über die Torsion prismatischer Stäbe von polygonalem Querschnitt, Math. Annalen 82 (1921), 97–112. Google Scholar | DOI

[3] 3.Seth, B. R., Torsion of beams, Proc. Cambridge Phil. Soc., 30 (1934), 392–403. Google Scholar

[4] 4.Arutyunyan, N. H., Solution of the problem of the torsion of a rod with a polygonal cross section, Prikl. Mat. Meh. 13 (1949), 107–112. Google Scholar

[5] 5.Kantorovich, L. V. and Krylov, V. I., Approximate methods of higher analysis (Groningen, 1958). Google Scholar

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