:The extensive use of Functionally Graded (FG) materials are found in aerospace, automobile, defence industries. Material tailoring of FG beam can be design to have desired distribution of stress in FG beam. The Elastic property of FG beam along the axis here is varied linearly, quadratic, exponentially with constant Poisson’s ratio. The effect various gradation on deflection and stress in FG beam is studied. A quasi-static condition without body force is assume while doing static analysis of FG beam. An FG cantilever beam with free end subjected to point load and uniformly distributed load over the span length is simulated. Independent Finite Element modelling of functionally Graded beam is done by using ANSYS© workbench. Euler Bernoulli’s theory is used for obtaining in-plane stress and displacement. These results are validated through finite element analysis in ANSYS© workbench. It shows that the grading of the beam along the axis plays vital role in reducing deflection in beam.