Mechanical and Vehicle Engineering
On the Torsional Rigidity of Orthotropic Beams with Rectangular Cross Section
Published:
2023-06-30
https://doi.org/10.21791/IJEMS.2023.2.3.
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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.
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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.
Received 2023-01-17
Accepted 2023-06-20
Published 2023-06-30
Accepted 2023-06-20
Published 2023-06-30
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
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- S.G. Leknitskii, Torsion of Anisotropic and Non-Homogeneous Bars, Nauka, Moscow, 1971. (in Russian)
- M.L. Milne-Thomson, Anti-plane Elastic Systems, Springer, Berlin, 1962.
- O. Rand and W. Rowenski, Analytical Methods in Anisotropic Elasticity, Birkhäser, Zürich, 2005.
- 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.
