A tire comprises a pair of flexible bead wires () of reduced mass. Each bead wire () has the form of a closed circumferential ring, bracing the bead of the tire () against the rim () and comprising a first part made of a first material M taking the form of textile cords (), the first part interacting with a second part of the bead wire () made of a reinforcing second material M; the tensile stiffness is comprised between 4.5×10N/m and 1.8×10N/m; the circumferential bending stiffness, Kf, is greater than or equal to Kr*(1000D/(1625.4)), where D is the diameter of the wheel on which the tire is mounted, measured at the seat () of the rim () in meters, and where Kr is equal to 2.10N.m; and the elastic elongation of the bead wire () is greater than or equal to 2%.