Torsion of Polygonal Bar with Core of Different Material
Publication: Journal of Engineering Mechanics
Volume 125, Issue 10
Abstract
The torsion of a compound bar is studied by eigenfunction expansion and collocation. The bar has a regular polygonal cross section bonded with a circular core of different material. It is found that the torque is insensitive to the core size when the latter is less than 0.2 of the maximum dimension. Otherwise, the torque is highly dependent on the core size ratio and the shear moduli ratio of the two materials. The results obtained should be useful in the design of torsion members.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Booker, J. R., and Kitipornchai, S. (1971). “Torsion of multilayered rectangular section.”J. Engrg. Mech., ASCE, 97, 1451–1468.
2.
Kolodziej, J. A. (1987). “Review of application of boundary collocation methods in mechanics of continuous media.” Solid Mech. Arch., 12, 187–231.
3.
Muskhelishvilli, N. I. (1963). Some basic problems of the mathematical theory of elasticity. Noordhoft, Groningen, The Netherlands, Chapter 23.
4.
Packham, B. A., and Shail, R. (1978). “St. Venant torsion of composite cylinders.” J. Elast., 8, 393–407.
5.
Timoshenko, S. P., and Goodier, J. N. (1970). Theory of elasticity, 3rd Ed., McGraw-Hill, New York, Chapter 10.
6.
Wang, C. Y. (1995a). “Torsion of a compound bar bounded by cylindrical polar coordinates.” Q. J. Mech. Appl. Math., 48, 359–400.
7.
Wang, C. Y. (1995b). “Torsion of a composite tube.” Z. Angew. Math. Mech., 75, 723–725.
8.
Young, W. C. (1989). Roark's formulas for stress and strain, 6th Ed., McGraw-Hill, New York, Chapter 9.
Information & Authors
Information
Published In
History
Received: Jun 1, 1999
Published online: Oct 1, 1999
Published in print: Oct 1999
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.