Functionally graded materials (FGM) are special types of advanced composite materials that have gradual variations in their composition. The material properties vary continuously from one surface to another, in contrast to composites. Primarily, because of special quality materials FGM contributes to their high performance by seeking the attention of high-tech industries. The study presents the plate which has graded material properties with layers consisting of ceramic, metal, and effective material properties like Young’s modulus, density, Poisson’s ratio, etc., and it varies in the direction of thickness as stated in the power law. A simply supported, functionally graded square plate under a bi-sinusoidal load is shown to demonstrate the static response. In this study, finite element analysis (FEA) allows the accurate modeling of functionally graded material’s properties and performance in a range of applications that greatly enhances the understanding and utilization of these materials. The material variation law study investigates the impact of power index, the ratio of span length to thickness ratio, aspect ratio on stresses, and transverse displacement. This paper aims to determine the total deformation, normal stresses, and directional deformation of several layers and validate the corresponding results.