In this study,Navier�s solution for the analysis of simply supported rectangular plates is extended to consider rigid internal supports.\nThe proposed method offers amore accurate solution for the bendingmoment at the critical section and therefore serves as a better\nanalytical solution for design purposes. To model the plate-support interaction, the patched areas representing the contact between\nthe plate and supports are divided into groups of cells.Theunknown internal reactions at the centers of the divided cells are obtained\nby satisfying the compatibility conditions at the centers of the cells. Three numerical examples are presented to demonstrate the\naccuracy of the proposed analytical solution. The given examples reveal good agreements with those obtained by the finite element\nanalysis. In addition, they show the advantage of the new solution as compared to the existing analytical solution which inaccurately\nestimates the location and magnitude of the maximum bending moment.
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