Tire comprising a carcass reinforcement made up of two layers

A tire with a radial carcass reinforcement and having an inflation pressure of which is greater than or equal to 6 bar, said tire comprising:

• a crown reinforcement that is capped radially by a tread, said tread being connected to two beads, each of said beads comprising a bead wire, by two sidewalls, said carcass reinforcement being made up of two layers of textile reinforcing elements, a first layer of carcass reinforcement being turned up around the bead wire in each of the beads, the ends of the said first layer of carcass reinforcement being radially on the outside of the radially outermost point of the bead wire in each bead and the second layer of carcass reinforcement extending from one bead to the other without any turnup around the bead wire in each of the beads, its ends being axially on the outside of the axially outermost point of the bead wire in each bead, said tire comprising in each sidewall a first filling element, axially on the inside of the exterior surface of a sidewall and axially on the outside of the turnup of the first layer of carcass reinforcement, and made of a rubber compound having a secant elastic modulus under tension at 10% elongation of Mj, each bead comprising a second filling element made of a rubber compound having a secant elastic modulus under tension at 10% elongation of Mt, extending the bead wire core radially towards the outside, wherein each of the layers of carcass reinforcement has a breaking force per unit width higher than 2250 daN/dm, wherein the minimum strength per unit width, measured for an elongation of less than 10%, of the second layer of carcass reinforcement is strictly greater than a value equal to 20% of the minimum strength per unit width, measured for an elongation of less than 10%, of the first layer of carcass reinforcement, wherein the reinforcing elements of the two layers of carcass reinforcement have a thread count of less than 750 tex, wherein the elongation of the reinforcing elements of the second layer of carcass reinforcement is greater than 4% under a force of 20 daN and wherein the secant elastic modulus values under tension at 10% elongation, Mt, Mj, satisfy the relationship Mt/Mj≦1.