Masters Theses

An-Ton Liu

Abstract

"This thesis is an extension of the work of T. F. Lehnhoff which used the method suggested by Goodier to develop the Reissner-Goodier small displacement theory for plates subjected to lateral loading. The purpose of this work is to develop a more complete Reissner-Goodier small displacement theory for plates under general loadings, both lateral and thermal, and to provide a solution to the six governing coupled partial differential equations by using a process similar to that of Lehnhoff. Any loading, lateral and/or thermal, that satisfies the Dirichlet conditions of Fourier analysis and virtually any boundary conditions may be handled. Most problems that can be solved by classical theory of plates are also solvable by this theory. An example problem of a solid circular plate with the outer edge clamped subjected to thermal loading only is solved to show the application of this theory. Numerical results are displayed in a series of nondimensional curves. These curves are compared to those solved by the classical theory of plates presented in the paper of Forray and Newman. The comparison indicates that the importance of the effects of transverse shear increases when the plate thickness increases"--Abstract, page ii.

Advisor(s)

Lehnhoff, T. F., 1939-

Committee Member(s)

Parry, Myron G.
Keith, Harold D. (Harold Dean), 1941-

Department(s)

Mechanical and Aerospace Engineering

Degree Name

M.S. in Mechanical Engineering

Publisher

University of Missouri--Rolla

Publication Date

1970

Pagination

viii, 74 pages

Note about bibliography

Includes bibliographical references (page 66).

Rights

© 1970 An-Ton Liu, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Subject Headings

Plates (Engineering) -- Mathematical models
Thermal stresses
Materials -- Mechanical properties -- Mathematical models
Shear (Mechanics)
Strains and stresses
Flexure

Thesis Number

T 2456

Print OCLC #

6027700

Electronic OCLC #

864829627

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