Member Stiffness for Three-Dimensional Beam-Columns
Publication: Journal of Structural Engineering
Volume 123, Issue 7
Abstract
This technical note describes a computer program written to generate the member stiffness matrix for geometrically nonlinear space frames using the equations of three-dimensional (3D) beam-columns without cross-sectional warping. (The 3D beam-column equations simply extend what is commonly done in two-dimensional (2D) beam-columns to beams in space where there now exist many unexplored, coupled buckling phenomena.) A power series approach is used to solve these equations.
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References
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Argyris, J. H., Dunne, P. C., Malejannakis, G., and Scharpf, D. W.(1978). “On large displacement—small strain analysis of structures with rotational degrees of freedom.”Comp. Methods in Appl. Mech. and Engrg., 15, 99–135.
2.
Chen, W.-F., and Atsuta, T. (1976). Theory of beam-columns, volume 2: space behavior and design. McGraw-Hill Inc., New York, N.Y.
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Levy, R., and Spillers, W. R. (1994). Analysis of geometrically nonlinear structures. Chapman & Hall, Ltd., London, England.
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Spillers, W. R.(1990). “A note on some qualitative results for beams and rods.”Quarterly of Appl. Math., x1vii, 3, 575–580.
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Spillers, W. R., Saadeghvaziri, A., and Luke, A.(1993). “An example of three-dimensional frame buckling.”Comp. & Struct., 47(3), 483–486.
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Copyright © 1997 American Society of Civil Engineers.
History
Published online: Jul 1, 1997
Published in print: Jul 1997
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