In this article a tyre is investigated which moves in lateral direction, i.e. perpendicular to its regular rolling direction, through sand, which is one representative of a deformable soil. This kind of motion could be a result of skidding of a car where the vehicle slides laterally over the side verge. In order to investigate this motion in the first step the influence of the compliance of the tyre is studied; the result is that an flexible tyre behaves similar to an rigid one. Therefore, in the second step, the simulations and the experimental investigations of the tyre are restricted to a stiff tyre, the results of experiments and simulations with an discrete element method are compared, the influence of some parameters are studied.