A tire P with a radial carcass reinforcement (1), intended for mounting on a rim J at least one of whose seats (42) is inclined outwards and is extended axially on the outside by a hump (41) of small height, said hump comprising an axially outer wall (411), and comprising two sidewalls (8) and at least one bead (5) with a heel axially on the inside and a bead toe axially on the outside, said bead (5) being provided with a protective rib T extending in the circumferential direction and axially further away from the equatorial plane than the axially outer wall (411) of the hump (41) of the rim in order to protect said rim J, the profile of the lower face BC connecting the axially outer face AB of the protective rib T and the profile of the bead (5) being totally located radially outside a virtual segment whose ends are on the one hand the radially innermost point B of the axially outer face AB of the rib T, and on the other hand the last point C′ of the tire bead which is in contact with the hump of the rim.