A tire, the H/S form ratio of which is at most 0.6, formed radially from the inside to the outside by a triangulation ply of metal cables oriented at least 60°, two working crown plies formed of inextensible metal cables oriented at angles of between 10° and 45°, between which there is inserted a first additional ply of metallic elements which are oriented substantially parallel to the circumferential direction of the tire, a second additional ply being arranged, on either side of the tire, radially above the outermost working ply and substantially centered on the end of the first additional ply.