A mandrel cupping assembly for releasably engaging the unsupported ends of a plurality of mandrels disposed on a web winding turret assembly is disclosed. The mandrel cupping assembly comprises a cupping arm turret, a mandrel cup and cupping arm cooperatively associated with each mandrel, an outer ring guide disposed coaxially about the cupping arm turret, and an actuator cooperatively associated with each cupping arm. Each of the mandrel cups and cupping arms are disposed radially about the cupping arm turret. The mandrel cups releasably engage the unsupported end of the mandrel against the outer ring guide. The mandrel cups have a hold-open position and a hold-closed position and are carried in a radial orbital path about the cupping arm turret while disposed in either of the hold-open position or the hold-closed position. Each actuator disposes the corresponding cupping arm from the hold-open position to the hold-closed position.