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The Analysis of Stresses in a Thin Cylindrical Shell of Circular Cross-Section


Byrne, Ralph Edward (1940) The Analysis of Stresses in a Thin Cylindrical Shell of Circular Cross-Section. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/4542-J330.


In Part I., the equations of equilibrium and expressions for the strain components are set up, for a thin shell of a general shape, by the use of the methods of vector analysis. The simplicity of the vector method of approach to this problem is shown. In Part II., the theory developed in Part I. is particularized for the case of a circular cylindrical shell. Expressions for force components are obtained in terms of the deformation components, and three equations of equilibrium in terms of the three deformation components are derived. In Part III., the expression for strain energy for a circular cylindrical shell is set up, and, by means of the Principle of Virtual Work, equilibrium equations and boundary conditions for a general type of boundary are deduced. The boundary conditions are then particularized for the cases in which the boundaries are parametric curves. In Part IV., an exact solution of the differential equations derived in Parts II. and III. is obtained. This solution is applicable to circular cylindrical shells of the type which occurs in the problem of the design and construction of barrel roofs. In Part V., the exact solution of Part IV. is carried out numerically for two particular cases. In Part VI., an account of several approximate methods of solution of this problem is given. A brief summary of some of the 1iterature on this subject is included. The thesis is concluded with a rather detailed account of several of the methods by which the author attempted to obtain short and approximate solutions of this problem.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Civil Engineering
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Civil Engineering
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Martel, Romeo Raoul
Thesis Committee:
  • Unknown, Unknown
Defense Date:1 January 1940
Record Number:CaltechETD:etd-06192007-131244
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2648
Deposited By: Imported from ETD-db
Deposited On:19 Jun 2007
Last Modified:16 Aug 2023 23:31

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