Buckling Loads of Columns with Varying Cross Sections
Publication: Journal of Engineering Mechanics
Volume 115, Issue 3
Abstract
A new numerical method is presented for evaluating the buckling loads of columns with varying cross sections. By this method, the traditional eigenvalue problem is transformed into a special initial value problem, and the buckling loads of the columns can be evaluated by an iteration procedure, which is to satisfy the boundary conditions specified in each case using numerical integrations. Two numerical examples, a built-up column and a two-component column, are provided for discussion. It is found that the proposed method can meet the precision requirements very well and is a convenient tool for structural designers.
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References
1.
Bleich, F. (1952). Buckling strength of metal structures. McGraw‐Hill, Inc., New York, N.Y.
2.
Chen, Y. Z. (1986). “A numerical procedure for evaluating the plastic limit load of circular plate using mises yield criterion.” Journal of Computers and Structures. 24(1), 821–822.
3.
Chen, Y. Z., and Xie, J. R. (1988). “Evaluation of natural frequencies of nonuniform beams by numerical integration.” Journal of Computers and Structures (to be published).
4.
Hildebrand, F. B. (1974). Introduction to numerical analysis. McGraw‐Hill, Inc., New York, N.Y.
5.
Hsu, Y. (1969). “Elastic buckling of two‐component column.” J. Engrg. Mech., ASCE, 95(3), 611–628.
6.
Lu, L. W., et al. (1983). Stability theory of metal struts. Building Industry Press of China, Beijing, China.
7.
Miesse, C. C. (1949). “Determination of the buckling load for columns of variable stiffness.” J. Appl. Mech. ASCE, 406–410.
8.
Sakiyama, T. (1986). “A method of analysis the elastic buckling of tapered columns.” Journal of Computers and Structures. 23(1), 119–120.
9.
Tebedge, N. (1972). “Applications of finite element method to beam‐column problem,” thesis presented to Lehigh University, at Bethlehem, Pa., in partial fulfillment of the requirements for the degree of doctor of Philosophy.
10.
Tebedge, N., and Tall, L. (1973). Linear stability analysis of beam‐columns. J. Struct. Div., ASCE, 2439–2457.
11.
Timoshenko, S. P., and Gere, J. M. (1961). Theory of elastic stability. 2nd Ed., McGraw‐Hill, Inc., New York, N.Y.
12.
Yettram, A. L., and Awadalla, E. S. (1967). “A direct matrix method for the elastic analysis of structures.” Int. J. Mech. Sci. 9, 315–321.
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Copyright © 1989 ASCE.
History
Published online: Mar 1, 1989
Published in print: Mar 1989
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