New Warping Function for Thin-Walled Beams. I: Theory
Publication: Journal of Structural Engineering
Volume 122, Issue 12
Abstract
Proposing a new warping function, the basic equations for thin-walled beams with arbitrary open or closed cross sections are developed. Compared to the classical theory of thin-walled structures, the present approach is more general. The only restriction is that the cross section of the member should remain undeformed in its plane during deformation. The principle of virtual displacements has been used to give the conditions of equilibrium. The finite element method and numerical results are presented in a companion paper.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Kollbrunner, C. F., and Hajdin, N. (1972). Dunnwandige stabe. band I . Springer, Berlin (in German).
2.
Prokić, A. (1990). “Thin-walled beams with open and closed cross section,” PhD thesis, Univ. of Belgrade, Yugoslavia (in Serbian).
3.
Prokić, A.(1993). “Thin-walled beams with open and closed cross section.”Comput. Struct., 47(6), 1065–1070.
4.
Prokić, A.(1994). “Material nonlinear analysis of thin-walled beams.”J. Struct. Engrg., ASCE, 120(10), 2840–2852.
5.
Prokić, A.(1996). “New warping function for thin-walled beams. II: finite element method and applications.”J. Struct. Engrg., ASCE, 122(12), 1443–1452.
6.
Umanskij, A. A. (1939). “Kručenije i izgib tankostennih aviokon-strukcij.” Moskva, Russia (in Russian).
7.
Vlasov, V. Z. (1940). “Tankostennie uprugie steržni.” Strizdat, Moskva, Russia (in Russian).
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 122 • Issue 12 • December 1996
Pages: 1437 - 1442
Copyright
Copyright © 1996 American Society of Civil Engineers.
History
Published online: Dec 1, 1996
Published in print: Dec 1996
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.