TECHNICAL NOTES
Feb 1, 2000
Beam-Columns with Finite Deflections
Authors: S. Kalaga and S. M. R. AdluriAuthor Affiliations
Publication: Journal of Structural Engineering
Volume 126, Issue 2
Abstract
The large deflection behavior of a uniaxially bent beam-column subject to an eccentrically applied load is investigated. A closed-form expression for the total lateral deflection, including bowing and initial imperfection, is derived by adopting a nonlinear strain-displacement relationship and a sine curve approximation for the lateral deflection. Stability is checked by evaluating the Hessian matrix of the total potential energy. The formulation is validated by applying it to a steel beam-column with an L/r ratio of 200. Though not comprehensive, results indicate that it is possible to develop reasonable closed-form solutions for the nonlinear behavior of slender beam-columns.
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References
1.
Chen, W.-F., and Atsuta, T. ( 1976). Theory of beam columns, Vol. 1. McGraw-Hill, New York.
2.
Grossman, S. I. (1986). Multivariate calculus. Academic, New York.
3.
Sewell, M. J. (1987). Maximum and minimum principles: A unified approach. Cambridge University Press, Cambridge, U.K.
4.
Symon, K. R. (1960). Mechanics. Addison-Wesley, Reading, Mass.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 126 • Issue 2 • February 2000
Pages: 266 - 269
History
Received: Jun 19, 1998
Published online: Feb 1, 2000
Published in print: Feb 2000
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Authors
Affiliations
S. Kalaga
S. M. R. Adluri
Struct. Engr., 4393 Varsity Ln. #1, Houston, TX 77004-6617. E-mail: [email protected]
Asst. Prof., Dept. of Civ. Engrg., Facu. of Engrg., Memorial Univ. of Newfoundland, St. John's, NF, Canada A1B 3X5.
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