An illustrative example method of making an elongated load bearing member includes providing a plurality of tension elements. A plurality of weave fibers are woven together with the tension elements to thereby establish a weave. A traction surface is established on at least one side of the load bearing member. The traction surface is defined by the weave fibers. Coating the weave fibers with a compressible coating provides an exterior surface texture defined at least in part by the weave fibers.