A support system supports the two ends of a passenger-transportation device in a built structure. The support system 6 has a swiveling support-point at a first end with a vertical swivel-axis. The second end contains a floating support-point for absorbing horizontal movements perpendicular to the swivel-axis. The floating support-point has at least one rolling element by means of which a sliding friction caused by the occurrence of horizontal movements in the floating support-point can be transformed into combined sliding-and-rolling friction or rolling friction.