Abstract: An elastomeric member for a tire-building machine, such as an inflatable bead turn-up bladder, center sleeve or bead lock sleeve, includes at least one base layer or sleeve of elastomeric material which terminates in a pair of end members for mounting the sleeve on the tire-building machine. A plurality of reinforcing cords may be embedded within the sleeve to provide internal reinforcement. A strip of an abrasion-resistantmaterial is bonded to all or a portion of the inner or outer surfaces of the sleeve to protect those areas of the sleeve that are subject to abrasion when contacting various portions of the tire or tire-building machine during assembly of a green tire carcass. A coating of an adhesion-release material may be applied to portions of the strip of abrasion-resistant material to reduce adhesion of the sleeve to the tacky elastomeric portions of the green tire carcass when contacted by expansion or movement of the sleeve during assembly of the green tire.