Aircraft tire comprises carcass reinforcement (5) comprising a first family of carcass layers extending between two beads (3), having at least one carcass layer wrapped, within each bead, from the inside towards the outside of the tire, around a bead wire (6) to form turn-up (511) having free end (E1) radially outside of radially outermost point (E) of the bead wire. The second family comprises at least two carcass layers, adjacent each to the next, extending, within each bead, from outside towards inside of the tire, as far as their respective ends (E2) which are radially inside of axial straight line (DY) through centre (O) of bead wire (6) and axially inside of a radial straight line (DZ) through centre (O) at axial distance (d2) at least equal to 5 mm. The carcass layers of the second family are axially inside of at least one turn-up of a carcass layer of the first family.