On Plate Buckling Coefficients
Publication: Journal of Engineering Mechanics
Volume 112, Issue 3
Abstract
Though thin plates have a useful reserve of elastic postbuckling strength, the linear buckling load remains an important design parameter. White and Cottingham have published useful graphs of buckling coefficients versus aspect ratio for various partial edge loadings and for simply‐supported as well as for fixed‐edge boundaries. Some of their graphs exhibit large cusps which they attribute to a change of buckling mode. The writers have written a fairly general finite‐difference plate buckling program in preparation for postbuckling studies; to test the program they recalculated the White and Cottingham results. These recalculations not only removed all cusplike buckling coefficient response for fixed‐edge boundaries but, for one loading case, found that the White and Cottingham coefficients appear 100% too high whereas for another loading case the writers' results were 1/8 higher; for simply‐supported boundaries the results agree closely. The writers' conjecture is that the cusplike behavior found by White and Cottingham is due to erroneous generalized eigenvalue solutions in the previous calculations, removed by the writers' use of reliable EISPACK subroutines.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Bauld, N. R. B., Jr., Goree, J. G., and Tzeng, L. S., “A Comparison of Finite‐Difference and Finite‐Element Methods for Calculating Free Edge Stresses in Composites,” Computers and Structures, Vol. 20, No. 5, 1985, pp. 897–914.
2.
Berger, M. S., “A Bifurcation Theory for Nonlinear Elliptic Partial Differential Equations and Related Systems,” Seminar on Bifurcation Theory and Nonlinear Eigenvalue Problems, Courant Inst. Math. Sc., New York Univ., 1966–67; J. B. Keller, and S. Antman, Eds.; W. A. Benjamin Inc., New York, NY, 1969, pp. 113–216.
3.
Boresi, A. P., and Lynn, P. P., Elasticity in Engineering Mechanics, Prentice‐Hall, Inc., Englewood Cliffs, NJ, 1974, pp. 242–244.
4.
Chia, C., Nonlinear Analysis of Plates, 1st ed., McGraw‐Hill Book Co., Inc., New York, NY, 1980.
5.
Conway, H. D., Chow, L., and Morgan, G. W., “Analysis of Deep Beams,” Journal of Applied Mechanics, Vol. 18, June, 1951, pp. 163–172.
6.
EISPACK—The Eigensystem Subroutine Package, Argonne National Laboratories, 9700 S. Cass Ave., Argonne, IL.
7.
Handbook of Structural Stability, Column Research Committee of Japan, Tokyo, Japan, 1971.
8.
Kapur, K. K., and Hartz, B. J., “Stability of Plates Using Finite Element Method,” Journal of the Engineering Mechanics Division, ASCE, Vol. 92, No. EM5, Proc. Paper 4790, Apr., 1966, pp. 177–195.
9.
Levy, S., “Buckling of Rectangular Plates with Built‐in Edges,” J. Appl. Mech., Vol. 9, 1942.
10.
Salvadori, M. G., “Numerical Computation of Buckling Loads by Finite Differences,” Transactions, ASCE, Paper No. 2441, Vol. 116, 1951, pp. 590–636.
11.
Spencer, H. H., and Surjanhata, H., “Plate Buckling Under Partial Edge Loading,” Developments in Mechanics, Vol. 13, Proc. 19th Midwestern Mechanics Conf., Ohio State Univ., Columbus, OH, Sept., 1985, pp. 83–84.
12.
Spencer, H. H., and Walker, A. C., “Proximity of Contraflexure to Plate Buckling Load,” Proceedings, Third International Specialty Conference on Cold‐Formed Steel Structures, Univ. of Missouri—Rolla, St. Louis, MO, Nov., 1975, Vol. 1, pp. 1–25.
13.
Surjanhata, H., “Plate Buckling Under Biaxial Patch Loading,” thesis submitted to New Jersey Institute of Technology, at Newark, NJ, in 1984, in partial fulfillment of the requirements of the degree of Master of Science in Mechanical Engineering.
14.
Timoshenko, S. P., and Goodier, J. N., Theory of Elasticity, 3rd ed., Engineering Society Monograph, McGraw Hill Book Co., Inc., New York, NY, 1970, pp. 538–545.
15.
White, R. N., and Cottingham, W. S., “Stability of Plates Under Partial Edge Loadings,” Journal of the Engineering Mechanics Division, ASCE, Vol. 88, No. EM5, Proc. Paper 3297, Oct., 1968, pp. 67–86.
Information & Authors
Information
Published In
Copyright
Copyright © 1986 ASCE.
History
Published online: Mar 1, 1986
Published in print: Mar 1986
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.