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In this book, the flexure analysis of FGM plate is carried out with RBF based Meshfree method. Six higher order shear deformation theories have been used to compare the result and suitability of theories. The governing differential equations are obtained using energy approach. A MATLAB code is developed to obtain results. Effect of span to thickness ratio, grading index for central deflection, normal and shear stress is obtained.Through thickness variation of stress is also plotted to compare the theories in a better way.