Determination of Uniformly Loaded Simply Supported Rectangular Plates with Lifting Corners Using Strip Moment Ratio (SMR) Method

The application of the SMR to rectangular plates with corners allowed to lift is presented in this paper. The classical plate bi-harmonic equation for rectangular plates was adapted to the problem. It is assumed that the load on the plate is supported by the joint effort of transverse x-x strips and the longitudinal y–y strips only. The effect of the two diagonal x–y strips required for holding down is neglected. The effect of Poisson ratio on the span moments and plate’s deflection is also presented. The indication is that an increase in Poisson ratio brings about an increase in the longer span moments of the plate and has got no significant effect on the shorter span moment and deflection of the plate. The results of practical application show close agreement with the exact classical results. The SMR method has been extended to plates of various support conditions and load types. It has also been extended to Skew plates, irregular plates, circular plates, Triangular plates with great accuracy. Plate vibration and plate buckling problems have also been solved with the method. This is the second extension of the SMR method published others shall follow subsequently.