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On the restricted torsion of narrow rectangular cross section by Kirchhoff's thin plate theory

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Abstract

Kirchhoff's thin plate theory is used to solve the restricted torsion of narrow rectangular cross section as this problem is equivalent to the bending of a rectangular cantilever plate by a twisting moment at the free end. The results obtained not only prove the angle of twist obtained by Prof. Timoshenko using the energy method but give us stresses.

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References

  1. Timoshenko, S.,Theory of Elasticity.

  2. Timoshenko, S.,On the torsion of a prism, one cross section of which remains plane. Proceedings of the London Mathematical Society, Ser. 2, (1922).

  3. Chang Fo-van,Elastic Thin Plates, Science Publishing House, (1964), (in Chinese).

  4. Chang Fo-van,Uniformly loaded rectangular cantilever plate, Applied Mathematics and Mechanics, Vol. 1, No. 3, 371–384, (1980).

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Authors and Affiliations

  1. Qinghua University, Beijing

    Chang Fo-van

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  1. Chang Fo-van
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Fo-van, C. On the restricted torsion of narrow rectangular cross section by Kirchhoff's thin plate theory. Appl Math Mech 3, 507–520 (1982). https://doi.org/10.1007/BF01908225

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  • DOI: https://doi.org/10.1007/BF01908225

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