Citation
Byrne, Ralph E. (1940) The analysis of stresses in a thin cylindrical shell of circular crosssection. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd06192007131244
Abstract
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.)) 

Degree Grantor:  California Institute of Technology 
Division:  Engineering and Applied Science 
Major Option:  Engineering and Applied Science 
Thesis Availability:  Public (worldwide access) 
Research Advisor(s): 

Thesis Committee: 

Defense Date:  1 January 1940 
Record Number:  CaltechETD:etd06192007131244 
Persistent URL:  http://resolver.caltech.edu/CaltechETD:etd06192007131244 
Default Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided. 
ID Code:  2648 
Collection:  CaltechTHESIS 
Deposited By:  Imported from ETDdb 
Deposited On:  19 Jun 2007 
Last Modified:  26 Dec 2012 02:53 
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