A vehicle rim (22-28; 251-252; 262; 272), of revolution, adapted for mounting a tire (30), this rim comprising a first (51; 512) and a second (52; 522) rim seat and a first and a second safety hump (571, 572) which are located axially to the inside of the seats, each of the rim seats being adapted to receive a bead (33) of the tire (30), each of the rim seats having a generatrix the axially inner end of which is on a circle of diameter DI greater than the diameter DE of the circle on which the axially outer end is located, at least one of the seats opening on to a groove (71-78; 791-793) arranged axially between the seat and the safety hump axially closest to the seat.