Effect of Local Loads on the Stability of Shells Subjected to Uniform Pressure Distribution

  • Lars Å. Samuelson
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)


Rules for design against buckling of shells according to current code cover only complete shell segments subjected to uniform or nearly uniform load distributions. The effect of initial imperfections is recognized but, local disturbances such as holes, local external forces or nonuniform stiffness distributions are not yet considered. Such disturbances are common in practical applications and may have a drastic influence on the carrying capacity of the shell.

The deflection of a shell caused by a small local load may be analyzed by use of linear shell theory. If it is assumed that its effect is equivalent to that of an initial imperfection, rules may be established for the analysis of the carrying capacity of the shell. This hypothesis was tested for cylindrical shells under axial compression through finite element analyses and tests on small scale plastic specimens and for spherical caps by computer analyses. It was found that the assumption is realistic and it yields, in its simplest form, slightly conservative results for cylinders but is nonconservative for spheres. Conversely, buckling tests on point loaded shells appear to give valuable information on the initial imperfection sensitivity and it may be possible to utilize such tests to develop more accurate guidelines on tolerances for manufacturing.


Finite Element Analysis Cylindrical Shell Axial Compression Spherical Shell Point Load 
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  1. [1]
    Samuelson, L. Å., Ed.: The Shell Stability Handbook. Stockholm 1990. ( In Swedish )Google Scholar
  2. [2]
    Eggwertz, S.F, Samuelson, L. Å.: Buckling Strength of Spherical Caps. The Swedish Plant Inspectorate, R & D Report No 88/04, 1988.Google Scholar
  3. [3]
    Tennyson, R.C.: The Effects of Unreinforced Cutouts on the Buckling of Circular Cylindrical Shells under Axial Compression. J. Eng. Ind., ASME, Vol 90, Nov 1968, pp 541–546.CrossRefGoogle Scholar
  4. [4]
    Brush,D.O., Almroth, B. O.: Buckling of Bars, Plates and Shells. McGraw- Hill, New York 1975.MATHGoogle Scholar
  5. [5]
    ECCS: European Recommendations for Steel Construction. Buckling of Shells, 1988.Google Scholar
  6. [6]
    Starnes, J.H.: The Effect of a Circular Hole on the Buckling of Cylindrical Shells. Ph D Thesis, Caltec, Pasadena, Calif. 1970.Google Scholar
  7. [7]
    Miller, C.D.: Experimental Study of the Buckling of Cylindrical Shells with Reinforced Openings. Chicago Bridge & Iron Co., CBI-5388, July 1982.Google Scholar
  8. [8]
    Gunnarsson, J., Sandberg, D.: Buckling of Cylindrical Shells under Local Loads. Dept. of Steel Constr. LuleA Technical University, Rep. No 037E 1987. (In Swedish)Google Scholar
  9. [9]
    Bijlaard, P.P.: Stresses from Radial Load in Cylindrical Pressure Vessels. Welding Journal, Vol 33, Dec 1954, pp 615s - 623s.Google Scholar
  10. [10]
    Forsberg, K., Flügge, W.: Point Load on Shallow Elliptic Paraboloid.J. Appl. Mech., Sept 1966, pp 575–585.Google Scholar
  11. [11]
    Loo, T.C., Evan-Iwanowski, R.M.: Deformations and Collapse of Spherical Domes Subjected to Uniform Pressure and Normal Concentrated Load at the Apex. Proc. World Conf. of Shell Structures, Oct 1962, San Francisco. Techn Editor: R.W. Spangler, pp 297–304.Google Scholar
  12. [12]
    Bushnell, D.: Stress Stability and Vibration of Complex Branched Shells of Revolution: Analysis and User’s Manual for BOSOR4. NASA CR-2116, 1972.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Lars Å. Samuelson
    • 1
  1. 1.The Swedish Plant InspectorateStockholmSweden

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