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Shear Buckling of Clamped and Simply–Supported Infinitely Long Plates Reinforced by Transverse Stiffeners

Published online by Cambridge University Press:  07 June 2016

I. T. Cook  and
K. C. Rockey
I. T. Cook
Affiliation:
University of Hull
K. C. Rockey
Affiliation:
University of Hull
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Summary

The paper presents a solution to the buckling of infinitely long plates clamped along the edges, together with an extension of the solution obtained by Stein and Fralich for the case when the edges are simply-supported. It is shown that, as a consequence of increasing the edge support from that of a simple support to one in which both deflection and rotation are prevented, the rigidity which an intermediate transverse stiffener must possess in order to support the plate effectively is much reduced. Agreement between the theoretical relationships and existing experimental data is good.

Type
Research Article
Information
Aeronautical Quarterly , Volume 13 , Issue 1 , February 1962 , pp. 41 - 70
Copyright
Copyright © Royal Aeronautical Society. 1962

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References

1. Stein, M. and Fralich, R. W. Critical Shear Stress of an Infinitely Long Simply Supported Plate with Transverse Stiffeners, N.A.C.A. T.N. 1851, 1949.Google Scholar
2. Southwell, R. V. and Skan, S. W, Stability under Shearing Forces of a Hat Elastic Strip. Proc. Roy. Soc. A, Vol. 105, p. 582, 1924.Google Scholar
3. Seydel, E. Wrinkling of Reinforced Plates Subjected to Shear Stresses. N.A.C.A. T.M. 602, 1930. (This is a translation of Deutschen Versuchsanstalt fur Luftfahrt, Jahrbuch 1930, Bd. 8, Nr. 3, 71).Google Scholar
4. Bergman, S. and Reissner, H. Buckling of Corrugated Strips Subjected to Shear Stresses. Zeitschrift fur Flugtechnik und Motorluftschiffart, p. 475, 1929, and p. 306, 1930.Google Scholar
5. Schmieden, C. Buckling of Stiffened Plates in Shear. Zeitschrift für Flugmechanik, p. 61, 1930.Google Scholar
6. Timoshenko, S. Theory of Elastic Stability. McGraw-Hill, 1936.Google Scholar
7. Stein, M. and Neff, J. Buckling Stresses of Simply Supported Rectangular Flat Plates in Shear. N.A.C.A. T.N. 1222, 1946.Google Scholar
8. Way, S. Stability of Rectangular Plates under Shear and Bending Forces. Journal of Applied Mechanics (A.S.M.E.) Vol. 3, No. 4, p. A131, 1936.Google Scholar
9. Wang, T. K. Buckling of Transverse Stiffened Plates under Shear. Journal of Applied Mechanics (A.SM.E.) Vol. 3, No. 4, p. A269, 1947.Google Scholar
10. Kleeman, P. W. The Buckling Shear Stress of Simply-supported Infinitely-Long Plates with Transverse Stiffeners. R. & M. 2971, 1953.Google Scholar
11. Iguchi, S. Buckling of Rectangular Plates Clamped on all Four Sides by Shear Stresses. Proceedings of the Physical and Mathematical Society of Japan, Vol. 20, p. 814, Oct. 1938.Google Scholar
12. Iguchi, S. Buckling of a Rectangular Plate under Shear Stresses. Ingenieur Archiv., Bd. IX, p. 1, 1938.Google Scholar
13. 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. R. & M. 1991, 1941.Google Scholar
14. Hopkins, H. G. The Solution of Small Displacement, Stability or Vibration Problems Concerning a Flat Rectangular Panel when the Edges are Either Clamped or Simply Supported. R. & M. 2234, 1945.Google Scholar
15. Budiansky, B. and Hu, P. C. The Lagrangian Multiplier Method of Finding Upper and Lower Limits to Critical Stresses of Clamped Plates. N.A.C.A. T.N. 1103, 1946.Google Scholar
16. Budiansky, B., Hu, P. C. and Connor, R. W. Notes on the Lagrangian Multiplier Method in Elastic-Stability Analysis, N.A.C.A. T.N. 1558, 1948.Google Scholar
17. Budiansky, B. and Connor, R. W. Buckling Stress of Clamped Rectangular Flat Plates in Shear. N.A.C.A. T.N. 1559, 1948.Google Scholar
18. Budiansky, B., Connor, R. W. and Stein, M. Buckling in Shear of Continuous Flat Plates. N.A.C.A. T.N. 1565, 1948.Google Scholar
19. Johnson, A. E. and Buchert, K. P., Critical Combination of Bending, Shear and Transverse Compressive Stresses for Buckling of Infinitely Long Flat Plates. N.A.C.A. T.N. 2536, 1951.Google Scholar
20. Batdorf, S. B. and Houbolt, J. C. Critical Combinations of Shear and Transverse Direct Stress for an Infinitely Long Flat Plate with Edges Elastically Restrained Against Rotation. N.A.C.A. Report 847, p. 205, 1946.Google Scholar
21. Stowell, E. Z. Critical Shear Stress of an Infinitely Long Flat Plate with Equal Elastic Restraints Against Rotation along the Parallel Edges. N.A.C.A. A.R.R. No. 3K 12 (N.A.C.A. W.R.L.-476), 1943.Google Scholar
22. Stowell, E. Z. and Schwarz, E. B. Critical Stress for an Infinitely Long Flat Plate with Elastically Restrained Edges under Combined Shear and Direct Stress. N.A.C.A. A.R.R. No. 3K 13. (N.A.C.A. W.R.L.-340), 1943.Google Scholar
23. Rockey, K. C. The Design of Intermediate Vertical Stiffeners on Web Plates Subjected to Shear. Aeronautical Quarterly, Vol. VII, p. 275, November 1956.Google Scholar