An elastomeric spring-damper has a one-piece tubular body having an integral cap. A tension stop flange is formed in the body near the cap portion, and a compression stop flange opposing the tension stop flange is formed on the cap portion. An inner member located within the body is coupled to the body with an annular elastomeric member, such that longitudinal motion of the inner member relative to the body is allowed through elastic deformation of the elastomeric member. An inner member stop flange is positioned between the compression stop flange and the tension stop flange to limit longitudinal motion of the inner member relative to the body.