A tire for a heavy vehicle of construction plant type mounted on a rim comprising two rim flanges which are at least partially circular, the tire comprising:
- two beads contacting the rim, a carcass reinforcement comprising a carcass reinforcement layer made of metal reinforcing elements coated in a polymer coating material, the carcass reinforcement layer comprising a main part wrapped, within each bead, from the inside towards the outside of the tire, around a bead wire to form a turn-up, the distance (a) between the turn-up and the main part decreasing continuously radially towards the outside, from a bead wire as far as a minimum distance (a1), then increasing continuously as far as a maximum distance (a2), each bead comprising a protection element extending a sidewall radially towards the inside, and a filler element axially on the inside of the protection element and of the sidewall and axially on the outside of the turn-up, the protection and filler elements being respectively made of at least one polymer protection material and one polymer filler material, the polymer filler material having an elastic modulus at 10% elongation that is lower than the elastic modulus at 10% elongation of the polymer coating material, wherein a transition element, made of a polymer transition material, is in contact, via its axially inner face, with the polymer coating material of the axially outer face of the turn-up via its axially outer face, with the polymer filler material, and wherein the elastic modulus at 10% elongation of the polymer transition material is somewhere between the respective elastic moduli at 10% elongation of the polymer coating material and of the polymer filler material,
- wherein the radially outer end (E) of the transition element is radially on the outside of the straight line (Dmin) passing through the centre (O) of the circle of the rim flange and making an angle of +70° with respect to the axial direction (YY′), and the radially outer end (E) of the transition element is radially on the inside of a point A of the turn-up, the point A being positioned at the minimum distance (a1) between the turn-up and the main part.