Document Type

Thesis

Date of Award

8-31-1982

Degree Name

Master of Science in Mechanical Engineering - (M.S.)

Department

Mechanical Engineering

First Advisor

Benedict C. Sun

Second Advisor

Bernard Koplik

Third Advisor

Harry Herman

Abstract

Partially loaded rectangular Plates with two types of boundary conditions are studied in this thesis. They are : (1) two opposite edges are clamped and (2) one edge is clamped. The remaining edges are simply supported in both cases.

The partial load is uniformly distributed over a rectangular region on the center of the plate.

Expressions of plate deflection and bending moments are derived by the method of superposition[1,2,3]* The solutions to the problem are all expressed as double generalized Fourier series.

When the loaded area approaches zero, the problem becomes a concentrated load case. On the other hand, when the loading-area to the plate-area ratio approaches unity, it becomes a uniformly loaded case.

Numerical results obtained by digital computer are presented in this thesis. The plots for central deflection and bending moments are also presented.

The results for uniformly loaded cases with various plate aspect ratios agree well with Timoshenko[l].

Examples for the application of the computed results are also Presented.

*Numbers in brackets designate references at the end of the thesis.

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