Abstract: A motor vehicle adapted to be used on tracks, especially for the public local passenger traffic, with a steerable vehicle axle and with at least one non-steerable vehicle axle and with track-determining cross-guide rollers arranged on both sides of the vehicle which are provided at least within the area of the steerable wheels and are supported near the end points of mounting arms that are relatively fixed; a force-measuring device for determining the cross-guide force is provided in the mounting or bearing support of at least one of the cross-guide rollers of each vehicle wheel while a brake pressure medium valve is adapted to be influenced by the force-measuring device in such a manner that a brake deceleration is automatically initiated when the vehicle exceeds a threshold value of the cross-guide force.