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Elastic buckling design curves for isotropic rectangular plates with continuity or elastic edge restraint against rotation

Published online by Cambridge University Press:  04 July 2016

C. B. York
C. B. York*
Affiliation:
Division of Engineering, University of Edinburgh Edinburgh, UK
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Abstract

Elastic buckling design curves are presented for flat isotropic rectangular plates, which are either isolated or form part of a larger continuous plate structure. The design curves illustrate the effect of introducing combinations of elastic rptational restraints to the edges of simply supported isolated plates, which are subject to uniform in-plane compression or shear. Results for infinitely long and/or wide plates, with rectangular bays, are superimposed for comparison.

Type
Research Article
Information
The Aeronautical Journal , Volume 104 , Issue 1034 , April 2000 , pp. 175 - 182
Copyright
Copyright © Royal Aeronautical Society 2000 

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References

1. Timoshenko, S. Theory of Elastic Stability, Engineering Societies Monograph, McGraw-Hill, 1936.Google Scholar
2. Bleich, F. Buckling of Metal Structures, McGraw-Hill, New York, 1952.Google Scholar
3. Gerard, G. and Becker, H. Handbook of structural stability, NACA TN 3781, 1957.Google Scholar
4. Morley, L.S.D. Skew Plates and Structures, Pergamon Press, Oxford, 1963.Google Scholar
5. Williams, F.W., Kennedy, D., Butler, R. and Anderson, M.S. Viconopt: Program for exact vibration and buckling analysis or design of prismatic plate assemblies, A1AA J, 1991, 29, pp 1927–1928.Google Scholar
6. Thompson, D., Haley, C, Ayres, J., Major, M. and Golby, D. Development and application of NASTRAN structural optimisation solution sequence within the BAe ECLIPSE system, Aeronaut J, August 1999, 103, (1026), pp 399–403.Google Scholar
7. York, C.B., Williams, F.W., Kennedy, D. and Butler, R. A parametric study of optimum designs for benchmark stiffened wing panels. Composite Eng, 1993, 3, (7-8), pp 619–632.Google Scholar
8. Lundquist, E.E. and Stowell, E.Z. Restraint provided a flat rectangular plate by a sturdy stiffener along an edge of the plate, NACA TR 735, 1942.Google Scholar
9. Stein, M. and Fralich, R.W. Critical shear stress of infinitely long, simply supported plate with transverse stiffeners, NACA TN 1851, 1949.Google Scholar
10. Lundquist, E.E. and Stowell, E.Z. Critical compressive stress for flat rectangular plates supported along all edges and elastically restrained against rotation along the unloaded edges, NACA TR 733, 1942.Google Scholar
11. Batdorf, S.B., Stein, M. and Libove, C. Critical combinations of longitudinal and transverse direct stress for an infinitely long flat plate with edges elastically restrained against rotation, NACA ARR L6A05a, 1946.Google Scholar
12. Anderson, R.A. and Semonian, J.W. Charts relating the compressive buckling stress of longitudinally supported plates to the effective deflectional and rotational stiffness of the supports, NACA TN 1202, 1954.Google Scholar
13. Budiansky, B. and Hu, P.C. The Lagrangian multiplier method of finding upper and lower limits to critical stresses of clamped plates, NACA Rep 848, 1946 (supersedes NACA TN 1103).Google Scholar
14. Lundquist, E.E., Stowell, E.Z. and Schuette, E.H. Principles of moment distribution applied to stability of structures composed of bars and plates, NACA Rep 809, 1945.Google Scholar
15. Cook, I.T. and Rockey, K.C. Shear buckling of clamped and simply- supported infinitely long plates reinforced by transverse stiffeners, Aeronaut Q, 1962, 13, (1), pp 41–70.Google Scholar
16. Rockey, K.C. and Cook, I.T. Shear buckling of clamped infinitely long plates - influence of torsional rigidity of transverse stiffeners, Aeronaut Q, 1965, 16, (1), pp 92–96.Google Scholar
17. Rockey, K.C. and Cook, I.T. Influence of torsional rigidity of transverse stiffeners upon the shear buckling of stiffened plates, Aeronaut Q, 1964, 15, (2), pp 88–131.Google Scholar
18. Mizusawa, T. and Kajita, T. Vibration and buckling of skew plates with edges elastically restrained against rotation, Comput Struct, 1986, 22, (6), pp 987–994.Google Scholar
19. Plaut, R.H. and Guran, A. Buckling of plates with stiffening elastically- restrained edges, J Eng Mech, ASCE, 1994, 120, (2), pp 408–411.Google Scholar
20.ABAQUS/Standard, Version 5.8, Hibbit, Karlsson and Sorensen, 1998.Google Scholar
21. Anderson, M.S., Williams, F.W. and Wright, C.J. Buckling and vibration of any prismatic assembly of shear and compression loaded anisotropic plates with an arbitrary supporting structure, Int J Mech Sci, 1983, 25, pp 585–596.Google Scholar
22. Budiansky, B., Connor, R.W. and Stein, M. Buckling in shear of continuous flat plates, NACA TN 1565, 1948.Google Scholar
23. York, C.B. Influence of continuity and aspect-ratio on the buckling of skew plates and plate assemblies, Int J Solids Struct, 1996, 33, (15), pp 2133–2159.Google Scholar
24.Engineering Sciences Data Unit. Buckling of flat isotropic plates under uniaxial and biaxial loading, ESDU 72019, 1994.Google Scholar
25. Brunelle, E.J. and Oyibo, G.A. Generic buckling curves for specially orthotropic rectangular plates, AIAA J, 1983, 21, (8), pp 1150–1156.Google Scholar
26. Schleicher, F. Die Knickspannungen von eingespannten rechteckegen Platten, Mitteilungen aus den Forschungsanstalten des Gutehoffnungshiitte- Konzerns, Vol 1, 1931. See also: Final report of the 1st Congress of the International Association of Bridge and Structural Engineers, Paris, 1932, p 123.Google Scholar
27. Stein, M. and Neff, J. Buckling stresses of simply supported rectangular flat plates in shear, NACA TN 1222, 1947.Google Scholar
28. Southwell, R.V. and Skan, S.W. On the stability under shear forces of a flat elastic strip, Proc Roy Soc lond, 1924, A 105,pp 582–607.Google Scholar
29. Leggett, D.M.A. The buckling of a square panel under shear when one pair of opposite edges is clamped, and the other pair is simply supported, ARC R&M No. 1991, 1941.Google Scholar
30. Iguchi, S. Die Knickung der rechteckigen Platte durch Schubkräfte, Ing-Archiv, 1938, 9, pp 1–12.Google Scholar
31. Budiansky, B., Hu, P.C. and Connor, R.W. Notes on the Lagrangian Multiplier method in elastic-stability analysis, NACA TN 1558, 1948.Google Scholar
32. Bedair, O.K. and Sherbourne, A.N. Plate-stiffener assemblies in uniform compression. Part 1: Buckling, J Eng Mech, ASCE, 1993, 119, (10), pp 1937–1955.Google Scholar
33. Bedair, O.K. and Sherbourne, A.N. The elastic stability of partially- restrained plates under compression and in-plane bending, J Constr Steel Res, 1995, 35, (3), pp 339–360.Google Scholar
34. Budiansky, B. and Connor, R.W. Buckling stresses of clamped rectangular flat plates in shear, NACA TN 1559, 1948.Google Scholar