Many numerical or analytical methods have been developed to compute the response of a railway track on a uniform foundation. The rail can then be modelled by different beam models. It was shown that for uniform railway tracks, Euler beam model and Timoshenko beam model give close results. In the case of damaged railway track components, the defaults can cause higher displacements of the rail leading to higher shears. Thus, in this case, the Timoshenko beam model can be more interesting. In this paper, a semi-analytical model for a railway track resting on a non-uniform foundation is proposed where the rail is modelled by a Timoshenko beam. Then, the results obtained with Timoshenko beam model and Euler Bernoulli beam model are compared for both a uniform railway track and a damaged railway track.