Columns: Static and Dynamic Interactive Buckling
Publication: Journal of Engineering Mechanics
Volume 110, Issue 1
Abstract
The interaction of local and overall buckling in thin‐walled columns is considered. A finite strip method in conjunction with the theory of mode interaction is developed to study the problem. The method is applicable to doubly symmetric cross sections carrying uniform stress or monosymmetric cross sections subjected to uniform end compression. Imperfection‐sensitivity surfaces are presented for stiffened panels and I‐section columns. A brief parametric study on I‐section columns is presented to illustrate the effect of flange slenderness and the ratio of local to Euler critical load on the maximum load carried. The effect of dynamic loads in the form of suddenly applied end compression is also investigated. It is found that in the presence of overall imperfections likely to occur in practice, the suddenness of load application can cause a reduction of about 10% of the maximum static load carrying capacity. A test program on I‐section columns carried out in Cornell University is cited for an evaluation of the present theory. There exists fair agreement between the theoretical predicted and experimentally observed collapse loads.
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References
1.
Bathe, K., and Wilson, E. L., Numerical Methods in Finite Element Analysis, Prentice Hall, Englewood Cliffs, N.J., 1976.
2.
Budiansky, B., “Dynamic Buckling of Elastic Structures: Criteria and Estimates,” Dynamic Stability of Structures, G. Herrmann, ed., Pergamon Press, New York, N.Y., 1967, pp. 83–106.
3.
Budiansky, B., and Hutchinson, J. W., “Dynamic Buckling of Imperfection‐Sensitive Structures,” Proceedings, 11th International Congress of Applied Mechanics, Munchen, 1964, Spring 1966, pp. 636–651.
4.
Byskov, E., and Hutchinson, J. W., “Mode Interaction in Axially Stiffened Cylinderical Shells,” AIAA Journal, Vol. 15, No. 7, July, 1977.
5.
Graves Smith, T. R., “The Ultimate Strength of Locally Buckled Columns of Arbitrary Length,” Thinwalled Steel Construction, K. C. Rockey and H. V. Hill, eds., Crosby Lockwood, London, 1967.
6.
Hancock, G. J., “Interaction Buckling in I‐Section Columns,” Journal of the Structural Division, ASCE, Vol. 107, No. ST1, Proc. Paper 15978, Jan., 1981, pp. 165–179.
7.
Kalyanaraman, V., Pekoz, T., and Winter, G., “Performance of Unstiffened Compression Elements,” Report No. 362, Department of Structural Engineering, Cornell University, Ithaca, N.Y., 1978.
8.
Koiter, W. T., “On the Stability of Elastic Equilibrium,” thesis (1945), Delft, H. J. Paris, Amsterdam (1963), NASA Tech. Trans., F10, 833, 1967.
9.
Koiter, W. T., and Pignataro, M., “An Alternative Approach to the Interaction between Local and Overall Buckling in Stiffened Panels,” IUTAM Symposium, Cambridge, 1974, Buckling of Structures, B. Budiansky, ed., Springer‐Verlag, 1976, pp. 133–148.
10.
Sridharan, S., “A Semianalytical Method for the Post‐Local‐Torsional Buckling Analysis of Prismatic Plate Structures,” International Journal of Numerical Methods in Engineering, Vol. 18, 1982, pp. 1685–1697.
11.
Sridharan, S., and Graves Smith, T. R., “Postbuckling Analyses with Finite Strips,” Journal of the Engineering Mechanics Division, ASCE, Vol. 107, No. EM5, 1981, pp. 869–888.
12.
Supple, W. J., “On the Change in the Buckle Pattern in Elastic Structures,” International Journal of Mechanical Sciences, Vol. 10, 1968, pp. 737–745.
13.
Supple, W. J., “Changes of Wave‐Form of Plates in the Postbuckling Range,” International Journal of Solids and Structures, Vol. 6, 1970, pp. 1243–1258.
14.
Thompson, J. M. T., and Lewis, G. M., “On the Optimum Design of Thin‐walled Compression Members,” Journal of Mech. Phys. Solids, Vol. 20, 1972, pp. 101–109.
15.
Tvergaard, V., “Imperfection‐Sensitivity of a Wide Integrally Stiffened Panel Under Compression,” International Journal of Solids and Structures, Vol. 9, 1973, pp. 177–192.
16.
van der Neut, A., “The Interaction of Local Buckling and Column Failure of Thinwalled Compression Members,” Proceedings, 12th International Congress of Applied Mechanics, Stanford University (1968), Springer, 1969, pp. 389–399.
17.
van der Neut, A., “Mode Interaction in Stiffened Panels,” IUTAM Symposium, Cambridge, 1974, Buckling of Structures, B. Budiansky, ed., Springer‐Verlag, 1976, pp. 117–132.
Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 110 • Issue 1 • January 1984
Pages: 49 - 65
Copyright
Copyright © 1984 ASCE.
History
Published online: Jan 1, 1984
Published in print: Jan 1984
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