Abstract: An optical fiber cable includes one or more optical fibers surrounded by a dielectric longitudinal strength member such as an aramid braid. The cable penetrates a bulkhead at a connector which couples tensile forces acting on the strength member to the bulkhead, to prevent breakage of the fiber(s). The connector includes two mating annular conical members which surround the optical fibers, with the strength braid flared and extending between the mating conical surfaces. The two cones are forced together by a bulkhead connector with a first thread and a second connector with a mating thread, thereby captivating the strength member to the bulkhead to resist tension. Concentric or annular grooves are formed in at least one of the mating conical surfaces to aid in gripping the slippery strength member.