FORMULATION OF LIMIT STATE DEFLECTION EQUATION FOR THIN RECTANGULAR STEEL PLATES ANALYSIS
Abstract
The limit state is the ultimate point of a structural capacity beyond which it is assumed to have failed. The aim of this work is to develop a general limit state deflection equation for thin rectangular plates analysis, and then based on the polynomial shape profiles formulate specific equations for twelve plate types. This will be done by using the limit state amplitude equation to determine the limit state deflection equation in terms of stress factor, F, and the vector normal to principal x- and y- axes,. Numerical results obtained from the equations at point of maximum deflection are analyzed. A look at the limit state values shows that the plates with one free edge deflect more compared with those with no free edge. Also, the plate simply supported on three edges and free at one (SSFS) and plate clamped at one edge, simply supported at two edges and free at one edge (CSFS) deflected the highest (12.421mm). While the plate clamped on all four edges (CCCC) deflected the least (4.622mm). These observations agree with the practical behaviour of thin plates. Hence, an indication of the adequacy of these new equations for predicting limit state deflection values of rectangular plates. Also, it will help plate analysts to easily predict the limit of deflection and can easily design to avert fail of plated structures and avoid economic losses for sustainable advancement.
Key words: Limit State, Deflection, Stress factor, Rectangular plates, Specific equations
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