A tire has a carcass reinforcement extending between a pair of opposing bead portion. At least one of the bead portions terminates axially to the outside by a tip and is intended to be mounted on a wheel rim having a bead seat that has an axially outer end closer to the axis of rotation than the axially inner end thereof. Within the bead portion are a bead ring and a bead apex. The radial carcass reinforcement ply is anchored in each bead portion and has at least one terminal end located in the bead portion. In the bead portion, the reinforcement ply passing radially inward of the bead ring, extending axially outward of the bead ring. The reinforcement ply terminates without passing back under the bead ring.