"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.
Stites, Wilbur D.
Carlton, E. W.
Lee, Ralph E., 1921-2010
Roberts, J. Kent, 1922-2014
Civil, Architectural and Environmental Engineering
M.S. in Civil Engineering
Missouri School of Mines and Metallurgy
viii, 80 pages
© 1961 William Hsin-Loo Ying, All rights reserved.
Thesis - Open Access
Structural analysis (Engineering) -- Mathematical models
Torsion -- Mathematical models
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Link to Catalog Record
Ying, William Hsin-Loo, "Effect of deflections for a flat plate by slope-deflection-gyration method" (1961). Masters Theses. 2756.