The analysis of axially symmetric spherical shells by means of finite differences.

by Philip. J. Harris

Institution: McGill University
Department: Department of Engineering.
Degree: PhD
Year: 1964
Keywords: Civil Engineering and Applied Mechanics.
Record ID: 1514959
Full text PDF: http://digitool.library.mcgill.ca/thesisfile115523.pdf


This thesis deals with the computation and study of small elastic displacements and stresses in axially symmetric spherical shells. All loads and reactions are assumed to be symmetrical with respect to the axis of the shell and consequently the displacements and stresses are functions of only one independent variable, the co-latitude. Although the application of major interest to the author is the analysis of reinforced concrete shell roofs, the theory is equally applicable to the design of tanks and pressure vessels, radomes, nuclear reactor containment vessels and other structural components in the form of a spherical cap.