Elastic Analysis of Functionally Graded Timoshenko Beam Subjected To Transverse Loading

In this paper, the stresses and strains of a functionally graded Timoshenko beam subjected to an arbitrary transvers loading are determined by applying energy method and stress analysis. Considering Timoshenko beam leads to a better and more precise solution in comparison to an Euler-Bernoulli beam and it helps us to prognosticate the failure with more accuracy. The beam cross section is rectangular changes in the section vary with a power law along the thickness of the beam. A simply support and transverse loading are considered for the boundary condition beam. With the proper selection of the beam, we can refine the beam strength against loading. These parameters are called design parameters. Eventually, a numerical problem is solved and the impacts of design parameter are considered in order to find a proper beam for the specific loading.