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Torsion of beams of L-cross-section

Published online by Cambridge University Press:  18 May 2009

E. Deutsch
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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.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 5 , Issue 4 , July 1962 , pp. 176 - 182
Copyright
Copyright © Glasgow Mathematical Journal Trust 1962

References

1.Kötter, K., Über die Torsion des Winkeleisens, S. -B. Kgl. Preuss. Akad. Wiss., Math.-Phys. Klasse (1908), 935–955.Google Scholar
2.Trefftz, E., Über die Torsion prismatischer Stäbe von polygonalem Querschnitt, Math. Annalen 82 (1921), 97–112.CrossRefGoogle Scholar
3.Seth, B. R., Torsion of beams, Proc. Cambridge Phil. Soc., 30 (1934), 392–403.Google Scholar
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.Kantorovich, L. V. and Krylov, V. I., Approximate methods of higher analysis (Groningen, 1958).Google Scholar