Masters Theses

Abstract

"In this work field equations are introduced to numerically solve the six linear differential equations which determine the displacements and stress resultants for thin elastic shells with axially symmetric loadings. With the applications of the field equations to the analysis of symmetric shells, the two-point boundary-value problem is formulated in terms of twelve first-order ordinary differential equations with boundary conditions at only one point. These equations are solved by using a forth [sic]-order Runge_kutta integration formula. Three problems whose solutions are known have been evaluated to check the accuracy of the field equation method. These are: (1.) Simply-supported, thin circular cylindrical shell of finite length with a uniform internal pressure. (2.) Simply-supported, thin circular cylindrical shell of finite length, under a radial line load distributed around the circumference at the center section. (3.) Thin circular cylindrical shell with both ends fixed and a uniform internal pressure"--Abstract, page ii.

Advisor(s)

Keith, Harold D. (Harold Dean), 1941-

Committee Member(s)

Barker, Clark R.
Cunningham, Floyd M.

Department(s)

Mechanical and Aerospace Engineering

Degree Name

M.S. in Mechanical Engineering

Publisher

University of Missouri--Rolla

Publication Date

1968

Pagination

viii, 55 pages

Note about bibliography

Includes bibliographical references (page 77).

Rights

© 1968 Pravin R. Ghael, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Subject Headings

Shells (Engineering) -- Mathematical models
Thin-walled structures -- Mathematical models
Axial loads

Thesis Number

T 2146

Print OCLC #

5998884

Electronic OCLC #

832378355

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