Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-24T07:56:17.431Z Has data issue: false hasContentIssue false
  • English
  • Français

Stress analysis of a cylindrical shell with a variable wall thickness

Published online by Cambridge University Press:  04 July 2016

D. S. Chehil ,
R. Jategaonkar  and
R. S. Dhaliwal
D. S. Chehil
Affiliation:
Department of Applied Mathematics, Technical University of Nova Scotia, Halifax, Canada
R. Jategaonkar
Affiliation:
Department of Applied Mathematics, Technical University of Nova Scotia, Halifax, Canada
R. S. Dhaliwal
Affiliation:
Department of Mathematics and Statistics, University of Calgary, Alberta, Canada
Get access Rights & Permissions [Opens in a new window]

Summary

While the bending analysis of cylindrical containers with wall thickness varying linearly has attracted much attention, it seems the general variation in wall thickness has not been considered. This is because of the difficulties which have been encountered due to the complex nature of the differential equations involved. In this paper, the container’s wall thickness is chosen to be of general variation and the differential equation is perturbed to give rise to a sequence of differential equations. It is shown that this sequence can be easily solved when the form of variation in wall thickness is specified. A complete solution is obtained in a particular case when the wall thickness varies linearly and the tank is subjected to hydrostatic pressure. For this particular case the numerical results are compared with the ones available in the literature which seem to be in good agreement.

Type
Research Article
Information
The Aeronautical Journal , Volume 91 , Issue 908 , October 1987 , pp. 367 - 372
Copyright
Copyright © Royal Aeronautical Society 1987 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1 Gray, W. S. Reinforced concrete reservoirs and tanks, Concrete Publications Limited, 1960.Google Scholar
2 Gray, W. S. and Manning, G. P. Concrete water towers, bunkers, silos and other elevated structures, Cement and Concrete Association, 1973.Google Scholar
3 Flugge, W. Stresses in Shells, Spinger-Verlag, 1962.Google Scholar
4 Timoshenko, S. Theory of Plates and Shells, McGraw-Hill, 1959.Google Scholar
5 Favre, H. On a method of calculating stresses in a cylindrical shell with variable thickness, Proc Ninth International Congress of Applied Mechanics, Brussels, 1957, 6, 297.Google Scholar