A support device for supporting a rotary platform of an elevator. The support device includes a first form-fit engagement means at an end of a fixed first guide rail, said end facing the platform, a third form-fit engagement means at an end of a third guide rail fastened to the platform and rotatable with the latter. In an alignment of the platform to a first position, the first and third form-fit engagement means are arranged with respect such that, when the platform deflects, as around an axis arranged in a second direction, the third form-fit engagement means is supported on the at least one first form-fit engagement means.