Noise and vibration from moving trains are important environmental issues affecting residents near railway lines. Modelling the dynamic behaviour of tracks is important to develop a good understanding about the physics which is essential to providing solutions. A large number of models have been reported in the literature on the dynamics behaviour of tracks. Most of these focus on straight tracks with less attention paid to curved tracks. This is mainly attributed to the higher complexity associated with modelling of curved tracks compared to straight ones. However, curved tracks are reported to have more problems and this increases the need for research on these tracks. In this paper a curved track is formulated as a beam on elastic foundation and is analysed using a matrix approach. The beam is discretised using straight beam elements which are formulated as Euler-Bernoulli beams. The paper presents results describing the dynamics of a curved track with a focus on forces transmitted to the track bed. Calculations are performed for harmonic moving loads. The track-bed forces are compared against those for straight tracks. The effects of curvature and loads frequency are also investigated