This invention is a fused loop (10) of an elongated material such as a surgical suture, and apparatus for making the loop. Portions of one or more segments (12) to be joined together are fused in a welding process to form a welded joint (14). The shear area of the fused portion (20) of the joint (14) determines the strength of the joint (14), and is thus preferably relatively large. Various configurations for the welding apparatus facilitate the creation of relatively large fused portions (20) of the joint (14) by maximizing contact between at least one of the welding members of the apparatus, and at least one of the segments (12) to be joined.