Vol. 8 No. 2 (2023)

Mechanical and Vehicle Engineering

On the Torsional Rigidity of Orthotropic Beams with Rectangular Cross Section

Published:

June 30, 2023

https://doi.org/10.21791/IJEMS.2023.2.3.

Authors

Attila Baksa,

University of Miskolc, Faculty of Mechanical Engineeringand Informatics, Institute of Applied Mechanics

István Ecsedi,

University of Miskolc, Faculty of Mechanical Engineeringand Informatics, Institute of Applied Mechanics

Ákos József Lengyel,

University of Miskolc, Faculty of Mechanical Engineeringand Informatics, Institute of Applied Mechanics

Dávid Gönczi

University of Miskolc, Faculty of Mechanical Engineeringand Informatics, Institute of Applied Mechanics

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Keywords

Orthotropic beam Saint-Venant torsion torsional rigidity

License

Copyright (c) 2023 Attila Baksa, István Ecsedi, Ákos József Lengyel, Dávid Gönczi

This work is licensed under a Creative Commons Attribution 4.0 International License.

How To Cite

Selected Style: APA

Baksa, A., Ecsedi, I., Lengyel, Ákos J., & Gönczi, D. (2023). On the Torsional Rigidity of Orthotropic Beams with Rectangular Cross Section. International Journal of Engineering and Management Sciences, 8(2), 25-30. https://doi.org/10.21791/IJEMS.2023.2.3.

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Abstract

The paper deals with the torsional rigidity of homogenous and orthotropic beam with rectangular cross
section. The torsional rigidity of the considered beam is defined in the framework of the Saint-Venant theory of
uniform torsion. Exact and approximate solutions are given to the determination of the torsional rigidity. The shape
of cross section is determined which gives maximum value of the torsional rigidity for a given cross-sectional area.
The dependence of torsional rigidity as a function of the ratio shear moduli of beam is also studied.

References

1. S.G. Leknitskii, Theory of Elasticity of an Anisotropic Elastic Body, Holdon Day Inc., San Francisco, 1963.
2. S.G. Leknitskii, Torsion of Anisotropic and Non-Homogeneous Bars, Nauka, Moscow, 1971. (in Russian)
3. M.L. Milne-Thomson, Anti-plane Elastic Systems, Springer, Berlin, 1962.
4. O. Rand and W. Rowenski, Analytical Methods in Anisotropic Elasticity, Birkhäser, Zürich, 2005.
5. J.L. Nowinski, Cauchy-Schwarz inequality and the evaluation of torsional rigidity of anisotropic bars, SIAM Journal of Applied Mathematics, 24(3), pp. 324-331, 1971.