Buckling of Simply Supported Rectangular Reissner–Mindlin Plates Subjected to Linearly Varying In-Plane Loading
Publication: Journal of Engineering Mechanics
Volume 132, Issue 5
Abstract
This paper is concerned with the buckling analysis of simply supported rectangular Reissner–Mindlin plates subjected to linearly varying edge loads. An analytical solution is developed and the effect of load intensity variation on the critical load is investigated. The solution is verified with the commercial computer code ANSYS. It is observed that the results of the present solution are in excellent agreement with those of ANSYS. The inaccuracy of the currently cited data in some design handbooks is highlighted.
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References
Benoy, M. B. (1969). “An energy solution for the buckling of rectangular plates under non-uniform in-plane loading.” Aeronaut. J., 73, 974–977.
Bert, C. W., and Devarakonda, K. K. (2003). “Buckling of rectangular plates subjected to nonlinearly distributed in-plane loading.” Int. J. Solids Struct., 40, 4097–4106.
Japan Column Research Council. (1971). Handbook of structural stability, Corona, Tokyo.
Kang, J. H., and Leissa, A. W. (2001). “Vibration and buckling of SS-F-SS-F rectangular plates loaded by in-plane moments.” Int. J. Struct. Stab. Dyn. 1, 527–543.
Khan, M. Z., and Walker, A. C. (1972). “Buckling of plates subjected to localized edge loading.” Struct. Eng., 50, 225–232.
Khdeir, A. A. (1988). “Free vibration and buckling of symmetric cross-ply laminated plates by an exact method.” J. Sound Vib., 126, 447–461.
Khdeir, A. A., and Librescu, L. (1988). “Analysis of symmetric cross-ply elastic plates using a higher order theory. II: Buckling and free vibration.” Compos. Struct., 9(4), 259–277.
Leissa A. W., and Kang J. H. (2001). “Exact solutions for the free vibration and buckling of rectangular plates with linearly varying in-plane loading.” Proc., 2001 ASME Int. Mechanical Engineering Congress and Exhibition, New York, Paper IMECE2001/AD-23758.
Leissa, A. W., and Kang, J. H. (2002). “Exact solutions for vibration and buckling of an SS-C-SS-C rectangular plate loaded by linearly varying in-plane stresses.” Int. J. Mech. Sci., 44, 1925–1945.
Mindlin, R. D. (1951). “Influence of rotatory inertia and shear on flexural motion of isotropic elastic plates.” J. Appl. Mech., 73, 31–38.
Press, W. H., et al. (1986). Numerical recipes—The art of scientific computing, Cambridge University Press, Cambridge, Mass.
Reissner, E. (1945). “The effects of transverse shear deformation on the bending of plates.” J. Appl. Mech., 67, 69–77.
Spencer, H. H., and Surjanhata, H. (1985). “Plate buckling under partial edge loading.” Dev. Mech., 13, 83–84.
Timoshenko, S. P., and Gere, J. M. (1961). Theory of elastic stability, 2nd Ed., McGraw–Hill, New York.
Young, W. C., and Budynas, R. G. (2002). Roark’s formulas for stress and strain, 7th Ed., McGraw–Hill, New York.
Ziegler, H. (1983). “The influence of in-plane deformation on the buckling loads of isotropic plates.” Ing.-Arch., 53, 61–72.
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© ASCE.
History
Received: Jan 13, 2005
Accepted: Apr 29, 2005
Published online: May 1, 2006
Published in print: May 2006
Notes
Note. Associate Editor: Hayder A. Rasheed
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