Abstract: An apparatus transports a workpiece to be shaped into a wheel rim between a pair of similar rim-shaping machines having respective parallel working axes and each open to receive the workpiece only parallel to the respective axis. The apparatus has a table displaceable parallel to the axes and in a transport direction transverse thereto, at least two similar workpiece holders spaced apart in the transport direction on the table, and a guide pin projecting vertically from the table. A guide engages the pin and defines therefor a generally U-shaped transport path having two straight legs extending parallel to the axes, a straight bight extending parallel to the direction, and a pair of rounded corners connecting the respective legs to the bight. An actuator or drive displaces the pin and table connected therewith along the path and the table is maintained parallel to the direction during travel of the pin along the path.