A fused loop of an elongated material, such as a surgical suture, and apparatus for making the loop. Portions of one or more segments to be joined together are fused in a welding process to form a welded joint. The shear area of the fused portion of the joint determines the strength of the joint and is thus preferably relatively large. Various configurations for the welding apparatus facilitate the creation of relatively large fused portions of the joint by maximizing contact between at least one of the welding members of the apparatus and at least one of the segments to be joined.