Radial carcass reinforcement tyre for a civil engineering vehicle, comprising: • a crown reinforcement, radially on the inside of a tread, said tread being connected by two sidewalls to two beads, • a carcass reinforcement extending between the two beads and made up of two carcass layers (1, 3) comprising metal reinforcers which, with a radial direction, make an angle of between -10° and 10°, • a first carcass layer, the radially innermost one, being anchored in each of the beads by being turned up around a bead wire having a geometric centre and a radial height Ht, to form a main part extending from one bead wire to the other, and a turn-up, axially on the outside of the main part in each of the beads, and having a free end, • the first carcass layer having a radial height Hdc, measured from its radially innermost point to its radially outermost point, • a second carcass layer extending from one bead to the other and being radially on the outside of the first carcass layer in a crown region of the tyre, the distance from the second carcass layer to the main part of the first carcass layer being measured between the neutral axes of the second carcass layer and of the main part of the first carcass layer, • each free end of each turn-up of the first carcass layer in each bead being at a radial distance from the radially outermost point of the bead wire that is at least equal to 1 times and at most equal to 2 times the radial height (Ht) of the bead wire, • in each bead, the end of the second carcass layer being radially on the inside of the geometric centre of the bead wire, • characterized in that, in each bead, from the free end of the turn-up of the first carcass layer to the point of the first carcass layer that is distant from the radially innermost point of the first carcass layer by a radial distance equal to 85% of the radial height (Hdc) of the first carcass layer, the distance between the main part of the first carcass layer and the second carcass layer is at least equal to 2 times and at most equal to 11 times the diameter of the metal reinforcers of the first carcass layer, • and in that the metal reinforcers of the two carcass layers (1, 3) are cords made up of individual threads of which the diameters are at least equal to 0.17mm and at most equal to 0.23mm for at least 50% of these individual threads, and at least equal to 0.17mm and at most equal to 0.26mm for the entirety of these individual threads. • a crown reinforcement, radially on the inside of a tread, said tread being connected by two sidewalls to two beads, • a carcass reinforcement extending between the two beads and made up of two carcass layers (1, 3) comprising metal reinforcers which, with a radial direction, make an angle of between -10° and 10°, • a first carcass layer, the radially innermost one, being anchored in each of the beads by being turned up around a bead wire having a geometric centre and a radial height Ht, to form a main part extending from one bead wire to the other, and a turn-up, axially on the outside of the main part in each of the beads, and having a free end, • the first carcass layer having a radial height Hdc, measured from its radially innermost point to its radially outermost point, • a second carcass layer extending from one bead to the other and being radially on the outside of the first carcass layer in a crown region of the tyre, the distance from the second carcass layer to the main part of the first carcass layer being measured between the neutral axes of the second carcass layer and of the main part of the first carcass layer, • each free end of each turn-up of the first carcass layer in each bead being at a radial distance from the radially outermost point of the bead wire that is at least equal to 1 times and at most equal to 2 times the radial height (Ht) of the bead wire, • in each bead, the end of the second carcass layer being radially on the inside of the geometric centre of the bead wire, • characterized in that, in each bead, from the free end of the turn-up of the first carcass layer to the point of the first carcass layer that is distant from the radially innermost point of the first carcass layer by a radial distance equal to 85% of the radial height (Hdc) of the first carcass layer, the distance between the main part of the first carcass layer and the second carcass layer is at least equal to 2 times and at most equal to 11 times the diameter of the metal reinforcers of the first carcass layer, • and in that the metal reinforcers of the two carcass layers (1, 3) are cords made up of individual threads of which the diameters are at least equal to 0.17mm and at most equal to 0.23mm for at least 50% of these individual threads, and at least equal to 0.17mm and at most equal to 0.26mm for the entirety of these individual threads.