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

Chang Fo-van

Article Contents

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.

PDF( 768 KB)

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.

FullText(HTML)

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).