A tyre for a vehicle wheel comprising two sidewalls, a tread, beads, the sidewall intended to be positioned on the interior side of the vehicle being shorter than that intended to be positioned on the exterior side of the vehicle, a reinforcement structure extending between the beads and maintained in said beads by anchoring zones, each of the beads comprising a specific and distinct arrangement of the anchoring zone thereof, such that the anchoring zone of the bead intended to be positioned on the exterior side of the vehicle exhibits a greater anchoring capacity than the anchoring zone of the bead intended to be on the interior side of the vehicle. The internal and external anchoring zones are thus arranged in such a manner as to produce, in operation, a rim clamping load which is substantially identical on each side.