Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Simple solutions of Saint-Venant torsion problem by using Tchebycheff polynomials


Author: Mohammed M. Abbassi
Journal: Quart. Appl. Math. 14 (1956), 75-81
MSC: Primary 73.2X
DOI: https://doi.org/10.1090/qam/77356
MathSciNet review: 77356
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Abstract: By using Tchebycheff polynomials, various forms of the stress functions associated with torsion problems have been obtained. The method can be applied for various types of cross sections. It is well known that these problems can be solved by other methods, but the method presented here gives a simple and direct solution in many cases.


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DOI: https://doi.org/10.1090/qam/77356
Article copyright: © Copyright 1956 American Mathematical Society


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