A tire comprising a crown, two sidewalls and two beads, a carcass reinforcement anchored in each of the beads and a crown reinforcement. The carcass reinforcement comprises at least two circumferential alignments of first reinforcing threads of high elasticity modulus, each circumferential alignment of the first reinforcing threads being, within each bead, bordered axially by second reinforcing threads oriented substantially circumferentially. The first reinforcing threads and the second reinforcing threads are separated by a layer of mix of very high elasticity modulus. The second reinforcements are arranged in a spiral and formed of monofilaments or unit threads of steel.