A tire having at least one bead seat inclined towards the outside and a radial carcass reinforcement (1) wound within said bead around a bead wire (2) from the heel to the toe of the bead B to form an upturn (10), the edge of which, viewed in meridian section, is located on the radially outer face (31) of a profiled element (3) of rubber mix. The profiled element is located axially and externally adjacent to the bead wire (2), and has, viewed in meridian section, the shape of a drop of water with an apex A located beneath the section of the bead wire (2), and a Shore A hardness greater than the Shore A hardness(es) of the rubber mixes (6, 7) located axially and radially above the bead wire/profiled element assembly. The carcass reinforcement upturn (10) is extended by a reinforcement armature (11) which surrounds the profiled element (3).