Masters Theses

Abstract

"Since the procedure for the theoretical solution of a rectangular flat plate or slab is complex, many approximate methods for determining the moments and deflections of such plate have recently been developed. One of these methods is the so called Slope-Deflection-Gyration Method which is performed by means of basically well-known structural theories - slope-deflection and torsion.

For a given plate, it is assumed that the plate is to be divided up into a grid of strips or equivalent beams at right angles to each other. The joints of this grid are assumed to be rigidly intersected and be permitted to deform under certain normally uniform loads. The deformation characteristics of this assumed gridwork will be analogous to those of a plate. These uniform loads are also to be divided into several equivalent panel loads acting at the joints of this grid. Moments and torsions of each joint are then computed and joint equilibrium equations are established. Symmetry of structure and loading combined with the electronic computer to solve the simultaneous equations simplify the solution of a complex problem. This method sometimes is referred to as strip-method or equivalent-beam method. Other similar analysis of flat plates has been developed through the uses of moment and torsion distribution process, and the application of statics ratio.

The purpose of this investigation is to study, through the slope-deflection-gyration method, the effect on deflections of a rectangular flat plate by varying the number of the divided strips and also the strip widths. The results of ten different cases for a square flat plate, with all clamped-edges, loaded uniformly have been plotted, and compared with the available theoretical solution by elastic theory"--Introduction, pages 1-2.

Advisor(s)

Stites, Wilbur D.

Committee Member(s)

Carlton, E. W.
Lee, Ralph E., 1921-2010
Roberts, J. Kent, 1922-2014

Department(s)

Civil, Architectural and Environmental Engineering

Degree Name

M.S. in Civil Engineering

Publisher

Missouri School of Mines and Metallurgy

Publication Date

1961

Pagination

viii, 80 pages

Note about bibliography

Includes bibliographical references (pages 78-79).

Rights

© 1961 William Hsin-Loo Ying, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Subject Headings

Structural analysis (Engineering) -- Mathematical models
Torsion -- Mathematical models

Thesis Number

T 1339

Print OCLC #

5933621

Electronic OCLC #

982290067

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