The current research focuses on free vibration characteristics of FG beams using finite element analysis. By applying power law function, the beam has been graded in the axis of thickness. The properties of an effective material of FG beams were determined by employing rule of mixture. A governing equation depending on Timoshenko beam theory has been derived utilizing the variational principle. Numerical results in terms of natural frequency have been determined using finite element methods. The validation and convergence investigations were carried out to emphasize efficiency as well as the performance of the current suggested model. In the current study, cantilever boundary condition has been used. The natural frequency variation for different power indexes (n) has been examined.