Document Type

Thesis

Date of Award

1-31-1983

Degree Name

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

Department

Mechanical Engineering

First Advisor

Benedict C. Sun

Second Advisor

Harry Herman

Third Advisor

Bernard Koplik

Abstract

In this Thesis, maximum deflection and bending moments of a partially loaded clamped rectangular plate are studied. The loading is uniformly applied to a retangular area proportional to the shape.

Navier's Solutions on partially loaded simply supported rectangular plate is superimposed with edge moments to give the clamped boundry condition.

Solutions of maximum deflection and bending moments are derived in Double Series form. A Fortran program is employed in obtaining the numerical results. When the partially loaded area approaches zero it becomes a centrally loaded case; and when loading area to plate area ratio approaches unity it becomes a uniformly loaded clamped plate. The numerical results obtained in this study for these two extreme cases agree well with results given by Timoshenko.

Deflection and bending moments data with various plate aspect ratios and loading area to plate area ratios were tabulated and plotted. Numerical examples in using these plots and tables for actual design are also given.

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