Beam and Column Buckling under Directed Loading
Publication: Journal of Structural Engineering
Volume 113, Issue 6
Abstract
Directed loading may have significant effects on the buckling resistances of beams and columns. Rotations of directed loads during buckling induce transverse components that may stabilize or destabilize the member. Previous studies of flexural‐torsional buckling are limited to specific situations. In this paper, a simple method is developed of modifying general finite element computer programs to account for the effects of directed loading on flexural‐torsional buckling. Computer results show that the buckling resistances of beams and cantilevers under downwards loading are increased when the load direction points are below the load application points and decreased when above. Members with top flange loads directed from above may have very low buckling resistances. Approximate equations are developed for simply supported beams and cantilevers. The accuracy of the computer predictions for cantilevered I‐beams is confirmed experimentally.
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References
1.
Barsoum, R. S., and Gallagher, R. H., “Finite Element Analysis of Torsional and Torsional‐Flexural Stability Problems,” International Journal for Numerical Methods in Engineering, Vol. 2, No. 3, 1970, pp. 335–352.
2.
Godden, W. G., “The Lateral Buckling of Tied Arches,” Proceedings, Institution of Civil Engineers, Vol. 3, Part 3, No. 2, Aug., 1954, pp. 496–515.
3.
Hancock, G. J., and Trahair, N. S., “Finite Element Analysis of the Lateral Buckling of Continuously Restrained Beam‐Columns,” Civil Engineering Transactions, Institution of Engineers, Australia, Vol. CE20, No. 2, 1978, pp. 120–127.
4.
Ings, N. L., and Trahair, N. S., “Beam and Column Buckling Under Directed Loading,” Research Report R516, School of Civil and Mining Engineering, University of Sydney, Sydney, Australia, 1986.
5.
Japan Column Research Committee, Handbook of Structural Stability, Corona Pub. Co., Tokyo, Japan, 1970.
6.
Kaschke, B., “Der Kippgefahrdete Trager unter Nichtrichtungstreuer Belastung,” Der Stahlbau, Vol. No. 6, 1961, pp. 183–190 (in German).
7.
Langhaar, H. L., Energy Methods in Applied Mechanics, John Wiley and Sons, Inc., New York, N.Y., 1962.
8.
Papangelis, J. P., and Trahair, N. S., “Flexural‐Torsional Buckling of Arches,” Research Report R492, School of Civil and Mining Engineering, University of Sydney, Sydney, Australia, 1958.
9.
Saravanos, B., “The Stability of a Thin Cantilever Beam Under an Articulated Tip Load,” Journal of the Royal Aeronautical Society, Vol. 65, No. 612, Dec., 1961, pp. 834–837.
10.
Simitses, G. J., An Introduction to the Elastic Stability of Structures, Prentice‐Hall, Inc., Englewood Cliffs, N.J., 1976.
11.
Smith, C. V., and Simitses, G. J., “Effect of Shear and Load Behavior on Ring Stability,” Journal of the Engineering Mechanics Division, ASCE, Vol. 95, No. 3, Jun., 1969, pp. 559–569.
12.
Structural Stability Research Council, Guide to Stability Design Criteria for Metal Structures, B. G. Johnston, Ed., 3rd ed., John Wiley and Sons, Inc., New York, N.Y., 1976.
13.
Timoshenko, S. P., and Gere, J. M., Theory of Elastic Stability, 2nd ed., McGraw‐Hill, New York, N.Y., 1961.
14.
Tokarz, F. J., “Experimental Study of Lateral Buckling of Arches,” Journal of the Structural Division, ASCE, Vol. 97, No. 2, Feb., 1971, pp. 545–559.
15.
Trahair, N. S., Behaviour and Design of Steel Structures, Chapman and Hall, London, England, 1977.
16.
Trahair, N. S., “Elastic Stability of Continuous Beams,” Journal of the Structural Division, ASCE, Vol. 95, No. 6, Jun., 1969, pp. 1295–1312.
17.
Trahair, N. S., “Lateral Buckling of Beams and Beam‐Columns,” Theory of Beam‐Columns—Volume II: Space Behaviour and Design, by Chen, W. F., and Atsuta, T., McGraw‐Hill, New York, N.Y., 1977, pp. 71–157.
18.
Trahair, N. S., “Lateral Buckling of Overhanging Beams,” Proceedings, Michael R. Home Conference on Instability and Plastic Collapse of Steel Structures, L. J. Morris, Ed., Granada, London, U.K., 1983, pp. 503–518.
19.
Ziegler, H., Principles of Structural Stability, Blaisdell Pub. Co., Waltham, Mass., 1968.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 113 • Issue 6 • June 1987
Pages: 1251 - 1263
Copyright
Copyright © 1987 ASCE.
History
Published online: Jun 1, 1987
Published in print: Jun 1987
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