Experimental Mechanics

, Volume 14, Issue 8, pp 297–303 | Cite as

Experimental determination of the elasto-static response of thick shells

Experimental determination of the elastic response of thick cylinders with spherical heads to both symmetric and unsymmetric static localized surface loads are documented and compared with analytical predictions based on a linear classical thick-shell theory
  • P. G. Glockner
  • F. G. Bercha
Article
  • 42 Downloads

Abstract

This paper presents part of an experimental study aimed at investigating the static response of thick cylinders with spherical heads subjected to symmetric and unsymmetric localized surface loads. In addition, thermal strains due to various steady-state surface-temperature differences are presented.

Empirical strains and displacements are compared, where possible, with analytical predictions based on a linear classical thick-shell theory.

Keywords

Experimental Study Mechanical Engineer Fluid Dynamics Experimental Determination Localize Surface 

Notations

h

shell thickness

R

radius of curvature of midsurface

T

temperature

x

meridional midsurface arc-length coordinate

t

normal coordinate

Δt

temperature difference between inner- and outer-shell surface

\(\varepsilon _\theta\)

circumferential strain

\(\varepsilon _x\)

meridional strain

θ

circumferential angle coordinate

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References

  1. 1.
    Handbook of Aluminum, Aluminum Company of Canada, Ltd., 2nd ed. (1966).Google Scholar
  2. 2.
    Bercha, F. G., “A Theoretical, Numerical, and Experimental Study of Thick Shells,” PhD Diss., Dept. of Civil Engr., The Univ. of Calgary (1972).Google Scholar
  3. 3.
    Bercha, F. G. andGlockner, P. G., “Thick Shell and Oriented Surface Theories,”Proc. ASCE,98 (EM4),823–833 (Aug. 1972).Google Scholar
  4. 4.
    Bercha, F. G. andGlockner, P. G., “Thick Shell Stress Resultants,”Proc. ASCE,98 (EM3),757–762 (June 1972).Google Scholar
  5. 5.
    Borisyuk, A. I. andMolovilovets, Z. A., “On the Temperature Field of a Shell of Variable Thickness,”PMM,3(12),84–89 (1967).Google Scholar
  6. 6.
    Bush, A. J., “Considerations and Solutions in Evaluating Thermal. Stresses in a Composite Cylinder,”Experimental Mechanics,11(2),87–93 (1971).Google Scholar
  7. 7.
    Dohrmann, R. J. andIves, K. D., “Experimental Investigation of Edge Loading of Thick Cylindrical Shells,”Experimental Mechanics,6(7),350–365 (1966).Google Scholar
  8. 8.
    Durelli, A. J., Parks, V. J. anddel Rio, C. J., “Experimental Determination of Stresses and Displacements in Thick-wall Cylinders of Complicated Shape,”Experimental Mechanics,8(7),319–326 (1968).Google Scholar
  9. 9.
    Fawcett, S., “The Call for Development in Pressure Vessels and Containment Buildings for Nuclear Reactors,” Nuclear Reactor Containment Buildings and Pressure Vessels, Proc. Symp. Roy. College of Sci. and Tech., Glasgow, Scotland, Butterworths, 3–18 (1960).Google Scholar
  10. 10.
    Gerwick, B. C., “Concrete Shell Structures for Arctic Ocean Structures,” Shell Structures and Climatic Influences, IASS, Proc. Symp. Univ. of Calgary, ed. by P. G. Glockner and A. Ghali, 37–54 (1972).Google Scholar
  11. 11.
    Hildebrand, F. B., Reissner, E. and Thomas, G. B., “Notes on the Foundations of the Theory of Small Displacement of Orthotropic Shells,” NACA Tech. Note No. 1833 (March 1949).Google Scholar
  12. 12.
    Kiesling, E. W., Dehart, R. C. andJain, R. K., “Testing of Ring-stiffened Cylindrical Shells Encased in Concrete—Instrumentation and Procedures,”Experimental Mechanics,10(6),251–256 (1970).Google Scholar
  13. 13.
    Martínez-Márquez, A., “General Theory for Thick Shell Analysis,” Proc. ASCE, J. Engr. Mech. Div., 185–203 (Dec. 1966).Google Scholar
  14. 14.
    MacLaughlin, T. F., “Photoelastic Stress Analysis of Thickwalled Closed-end Cylinders,”Experimental Mechanics,5(5),129–134 (1965).Google Scholar
  15. 15.
    Theory of Arch Dams, papers presented at Intl. Symp., Southampton Univ., ed. by J. R. Rydezewski, Symposium Publications, Pergamon Press (1965).Google Scholar
  16. 16.
    Zudans, Z., Yen, T. C. and Steigelmann, W. H., Thermal Stress Techniques in the Nuclear Industry, American Elsevier Publishing Company, Inc. (1965).Google Scholar

Copyright information

© Society for Experimental Mechanics, Inc. 1974

Authors and Affiliations

  • P. G. Glockner
    • 1
  • F. G. Bercha
    • 2
  1. 1.Department of Civil EngineeringThe University of CalgaryCalgaryCanada
  2. 2.Acres Consulting Services LimitedCalgaryCanada

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