A tire for a vehicle wheel, comprising two sidewalls, a crown zone provided on its radially outer portion with a circumferential tread, and a bead arranged in the radially inner portion of each of the sidewalls. Each bead comprises a seat and an outer flange which are intended to come into contact with the rim, the seat having a generatrix, the axially inner end of which lies on a circle of diameter greater than the diameter of the circle on which the axially outer end is located. A carcass-type reinforcement structure extends substantially radially from each of the beads, along the sidewalls, towards the crown zone. Each bead includes a zone for anchoring the carcass-type reinforcement structure in the bead, a bearing zone for the bead against a suitable rim seat, and an intermediate zone, which is provided substantially between said anchoring zone and the bearing zone.