Abstract: Functionally graded concrete materials (FGCs) are new type of composite material whose components and properties change continuously with the spatial position. In this paper, the finite element model of FGC beam is established by using the idea of layered model based on the finite element software ANSYS. A typical example is firstly tested to verify feasibility and accuracy of the model, and it is found that the present solutions are in good agreement with the reference ones. Further, the thermoelastic problem of FGC beam is analyzed, and the influence of gradient form and gradient parameters on the thermal stress is obtained. The related findings may provide some supports for the component determination of FGC beams.