A transfer ring for use in the manufacture of vehicle tires, the transfer ring including a radially expandable and collapsible segmented cylindrical gripping surface defined by a plurality of inwardly facing arcuate surfaces mounted for radial movement toward and away from a central axis of the cylindrical gripping surface, wherein each arcuate surface is mounted to a corresponding set of driven linkages comprising first, second, and third members, each set of driven linkages further including a block-and-rail cam follower secured to at least one of the first, second, and third members and configured to cooperate with the first, second, and third members to limit movement of the arcuate surface to linear movement radially toward and away from the central axis of the cylindrical gripping surface.