On the Restricted Torsion of Narrow Rectangular Cross Section by Kirchhoff’s Thin Plate Theory

Chang Fo-van

Volume 3 Issue 4

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Article Navigation > Applied Mathematics and Mechanics > 1982 > 3(4): 463-476

Chang Fo-van. On the Restricted Torsion of Narrow Rectangular Cross Section by Kirchhoff’s Thin Plate Theory[J]. Applied Mathematics and Mechanics, 1982, 3(4): 463-476.

Citation:

Chang Fo-van. On the Restricted Torsion of Narrow Rectangular Cross Section by Kirchhoff’s Thin Plate Theory[J]. Applied Mathematics and Mechanics, 1982, 3(4): 463-476.

Citation:

Chang Fo-van. On the Restricted Torsion of Narrow Rectangular Cross Section by Kirchhoff’s Thin Plate Theory[J]. Applied Mathematics and Mechanics, 1982, 3(4): 463-476.

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On the Restricted Torsion of Narrow Rectangular Cross Section by Kirchhoff’s Thin Plate Theory

Chang Fo-van

Qinghua University, Beijing

Received Date: 1982-01-06
Publish Date: 1982-08-15

Abstract

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 put give us stresses.

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References(4)

References

[1]	Timoshenko,S,,Theory of Elasticity.
[2]	Timoshenko,S,,On the torsion of a prism,one of the cross section of which remains plane,Proceedings of the London Mathematical Society,Ser,2,(1922).
[3]	张福范,《弹性薄板》,科学出版社,(1964).
[4]	张福范,均布荷载下悬臂矩形板的弯曲,应用数学和力学,1.3,(1980).

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