Flexural-Torsional Buckling of Variable and Open Cross-Section Members
Publication: Journal of Engineering Mechanics
Volume 121, Issue 2
Abstract
This work gives the exact solutions for the coupled flexural-torsional buckling loads of variable and open cross-section columns, loaded by variable axial force. Both the cross-section dimensions and the axial load can vary along the column as polynomial expressions. The proposed solution is based on a new finite-element method for getting the exact stiffness matrix for the member, including the effects of the axial loading. The buckling load is found as the load that causes the stiffness matrix determinant to become zero. Several examples are given and compared to published results to demonstrate the accuracy and flexibility of the method. New, exact results are given for several other cases.
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References
1.
Barsoum, R., and Gallagher, R.(1970). “Finite element analysis of torsional and torsional-flexural stability problems.”Int. J. Numerical Methods in Engrg., 2(2), 335–352.
2.
Bazant, Z., and El-Nimeiri, M.(1973). “Large-deflection spatial buckling of thin-walled beams and frames.”J. Engrg. Mech., 99(6), 1259–1281.
3.
Bazant, Z. (1965). “Non-uniform torsion of thin-walled bars of variable section.” Int. Association for Bridge and Struct. Engrg. (IABSE), Zurich, Switzerland, Vol. 25, 17–39.
4.
Chajes, A., and Winter, G.(1965). “Torsional-flexural buckling of thin-walled members.”J. Struct. Engrg., ASCE, 91(4), 103–124.
5.
Chen, W., and Atsuta, T. (1977). Theory of beam-columns, volume 2: space behavior and design . McGraw Hill, New York, N.Y.
6.
Eisenberger, M.(1990a). “Buckling loads for variable cross-section members with variable axial forces.”Int. J. Solids and Struct., 27(2), 135–143.
7.
Eisenberger, M.(1990b). “An exact element method.”Int. J. Numerical Methods in Engrg., 30(2), 363–370.
8.
Friberg, P.(1985). “Beam element matrices derived from Vlasov's theory of open thin-walled elastic beams.”Int. J. Numerical Methods in Engrg., 21(7), 1205–1228.
9.
Hone, C. (1967). “Torsional-flexural buckling of axially-loaded, thin-walled, elastic struts of open cross-section.”Thin-walled structures, Chatto and Windus, London, England, 103–135.
10.
Kanok-Nukulchai, W., and Susumpow, T.(1993). “False paradox of torsional buckling.”J. Struct. Engrg., 119(12), 3670–3679.
11.
Lind, N. (1973). “Confirmation of paradox by rayleigh and vianello methods.”Appl. Mech. Reviews, Vol. 26, 574.
12.
Timoshenko, S., and Gere, J. (1961). Theory of elastic stability, 2nd Ed., McGraw Hill, New York, N.Y.
13.
Vlasov, V. (1961). Thin-walled elastic beams . Israel Program for Scientific Translations, Jerusalem, Israel.
14.
Yu, W.-W. (1973). Cold-formed steel design . McGraw Hill, New York, N.Y.
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Copyright © 1995 American Society of Civil Engineers.
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Published online: Feb 1, 1995
Published in print: Feb 1995
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