Date of Award

1-1976

Degree Type

Master's Essay - Restricted

Degree Name

Master of Science (MS)

Department

Civil, Construction, and Environmental Engineering

First Advisor

J.S. Kao

Second Advisor

C.H. Yoo

Abstract

The. basic difference between Large Deflection Theory and Small Deflection Theory is that strain on middle plane is considered in Large Deflection Theory while Small Deflection Theory assumes no strain conditions on middle plane.

The problem of large deflection of rectangular homogeneous plates was first studied by Kaiser who converted the differ­ential equations into difference equations to solve a simply supported square plate. The solution assumed movable edges. Levy used trigonometric series to solve simply supported rectangular plate with and without edge loads. Coan solved plates with initial curvature by extension of Levy's solution.

Timoshenko and other authors used strain energy method in which suitable expressions for the displacements of each points of the plate must be chosen. Murray and Wilson proved application of finite element method to this problem.

The purpose of this study is to solve the coupled non­ linear partial differential equations, using finite difference method. The computer program under study is written only for simply supported rectangular plates. Effect of shear in the deflection is also included in the program.

The boundary conditions could be changed afterwards, to consider the case of fixed ended plates, or a combination of simply supported and fixed ended edges.

Comments

An essay submitted to the Faculty of the Graduate School, Marquette University in partial fulfillment of the requirements for the Degree of Master of Science under Plan B Prepared under the guidance of Dr. J. s. Kao, Professor, Department of Civil Engineering, Marquette University, Milwaukee, Wisconsin

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