New Concept to Include Shear Deformation in a Curved Beam Element
Publication: Journal of Structural Engineering
Volume 128, Issue 3
Abstract
A horizontally curved beam element of arbitrary shape having three nodes and three degrees of freedom (vertical deflection, bending rotation, and twisting rotation) at each node is presented. The proposed element looks like an isoparametric curved beam element but it is based on a different formulation. The effect of shear deformation is incorporated in an efficient manner and to make the element free from locking in shear, which is a well-known problem of the isoparametric element. In this formulation, the field variables taken are vertical deflection, shear strain, and twisting rotation. It should be noted that shear strain is one of the field variables unlike isoparametric and other usual elements where bending rotation is the corresponding field variable. Moreover the order of interpolating polynomial used for the different field variables is identical in the isoparametric element, while it is different in the present case. Numerical examples are solved to validate the proposed element and to show its accuracy and range of applicability.
Get full access to this article
View all available purchase options and get full access to this article.
References
Dasgupta, S., and Sengupta, D.(1988). “Horizontally curved isoparametric beam element with or without elastic foundation including effect of shear deformation.” Comput. Struct., 29(6), 967–973.
El-Amin, F. M., and Brotton, D. M.(1976). “Horizontally curved beam finite element including warping.” Int. J. Numer. Methods Eng., 10(6), 1397–1428.
Fu, C. C., and Hsu, Y. T.(1994). “The development of an improved curvilinear thin-walled Vlasov element.” Comput. Struct., 54(1), 147–160.
Hsu, Y. T., Fu, C. C., and Schelling, D. R.(1990). “An improved horizontally curved beamelement.” Comput. Struct., 34(2), 313–316.
Konishi, I., and Komatsu, S.(1965). “Three dimensional analysis of curved girders with thin-walled cross-section.” Int. Ass. Bridge Struct. Eng., 25, 143–203.
McManus, P. F., Nasir, G. A., and Culver, C. G.(1969). “Horizontally curved girders—state of the art.” J. Struct. Div. ASCE, 95(5), 853–870.
Sengupta, D., and Dasgupta, S.(1997). “Static and dynamic applications of a five noded horizontally curved beam element with shear deformation.” Int. J. Numer. Methods Eng., 40, 1801–1819.
Yoo, C. H.(1979). “Matrix formulation of curved girders.” J. Eng. Mech. Div., Am. Soc. Civ. Eng., 105(6), 971–988.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 128 • Issue 3 • March 2002
Pages: 406 - 410
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: Apr 3, 2001
Accepted: Oct 1, 2001
Published online: Mar 1, 2002
Published in print: Mar 2002
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.