Experimental Mechanics

, Volume 7, Issue 1, pp 36–40 | Cite as

Stress-fit applications to experimental shell analyses

A procedure is described for accurately determining complete stress distributions in shells from a minimum of experimental data
  • F. J. Witt
  • R. W. Maxwell
Article

Abstract

The stress-fit method is a procedure for determining complete stress distribution in shells from experimental data. Displacement, slope and shearing-force distributions may also be calculated. The method is applicable to all shell configurations for which closed-form solutions have been formulated and may be applied to certain asymmetrically loaded shells as well as those loaded axisymmetrically. Application to cylindrical and spherical shells is discussed in detail, and the procedure is shown to be verfied experimentally.

Keywords

Experimental Data Mechanical Engineer Fluid Dynamics Stress Distribution Spherical Shell 

Nomenclature

a

radius at middle surface of cylinder (in.)

Ci

the integration constants associated with the analysis of the cylindrical shell

h

thickness of cylinder (in.)

M

bending moment (lb-in./in.)

N

normal force on cylinder (lb/in.)

p

internal pressure (psi)

x

axial coordinate of cylinder (in.)

β

reciprocal of characteristic length of cylinder\((in.^{ - 1} ) = [3(1 - \mu ^2 )/a^2 h^2 ]^{{\raise0.7ex\hbox{$1$} \!\mathord{\left/ {\vphantom {1 4}}\right.\kern-\nulldelimiterspace}\!\lower0.7ex\hbox{$4$}}} \)

μ

Poisson's ratio

σ

stress (psi)

Subscripts

c

circumferential designation of cylinder

m

designation of membrane component

x

axial designation of cylinder

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References

  1. 1.
    Flügge, W., Stresses in Shells, Cs. 5 and 6, Springer-Verlag, Berlin (1960).Google Scholar
  2. 2.
    Timoshenko, S., andWoinowsky-Krieger, S. Theory of Plates and Shells, Cs. 14, 15 and 16, 2nd ed., McGraw-Hill Co., Inc., New York (1950).Google Scholar
  3. 3.
    Witt, F. J., and Greenstreet, B. L., “Analysis of Axisymmetrically Loaded Cylinder-to-Sphere Attachments,” USAEC Rpt ORNL-3755, Oak Ridge Natl. Lab. (April 1965).Google Scholar
  4. 4.
    Witt, F. J., “Thermal Analysis of Cylindrical Shells,”Nuclear Struct. Eng.,1 (3),276–284 (1965).Google Scholar
  5. 5.
    Leckie, F. A., “Asymptotic Solutions for the Spherical Shell Subjected to Axially Symmetric Loading,”Nuclear Reactor Containment Buildings and Pressure Vessels, 286–297, Butterworths, London (1960).Google Scholar
  6. 6.
    Greenstreet, B. L., et al., “Stress Analysis of the EGCR Pressure Vessel,” USAEC Report ORNL-3157, Oak Ridge Natl. Lab. (1961).Google Scholar
  7. 7.
    Greenstreet, B. L., Witt, F. J., Smith, J. E., Maxwell, R. L., andShobe, L. R., “Experimental Stress Analysis of a Nuclear-reactor Pressure Vessel,”Experimental Mechanics,3 (6),129–139 (1963).Google Scholar
  8. 8.
    Maxwell, R. L., Holland, R. W., and Cofer, J. A., “Experimental Stress Analysis of the Attachment Region of Hemispherical Shells With Radially Attached Nozzles,” ME-7-65-1, Eng. Expt. Sta., The University of Tennessee College of Engineering, June, 1965.Google Scholar
  9. 9.
    Dally, J. W., “An Experimental Investigation of the Stresses Produced in Spherical Vessels by External Loads Transferred by a Nozzle,”Welding Research Council Bltn. No. 84, 9 (January1963).Google Scholar

Copyright information

© Society for Experimental Mechanics, Inc. 1967

Authors and Affiliations

  • F. J. Witt
    • 1
  • R. W. Maxwell
    • 1
    • 2
  1. 1.Applied Mechanics Section, Reactor DivisionOak Ridge National LaboratoryOak Ridge
  2. 2.The University of TennesseeKnoxville

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