A tire having a radial carcass reinforcement winding within each bead around at least one heel reinforcement element and whose meridian profile, when the tire is mounted and inflated, has a constant direction of curvature in a first bead and a sidewall extending it radially, and has a tangent TT′ to the point of tangency T of the carcass reinforcement profile with the annular element of the first bead which forms with the axis of rotation an angle &phgr; which is open towards the outside and is greater than 45°, wherein, viewed in meridian section, at least the aforesaid sidewall comprises a reinforcing profiled element having, viewed in section, substantially the form of a crescent, one of the axially inner or outer faces of the crescent-shaped profiled element follows the profile of the carcass reinforcement, and the trace of the face of the crescent-shaped profiled element opposite the face of such profiled element closest to the carcass reinforcement has a single direction of curvature.