Segmented mold for molding and vulcanizing a tire of given diameter, having shells and segments collaborating to withstand the internal pressure and remain in the closed position without assistance from additional components, in which mold each segment comprises at its lateral edges a projection extending radially inwards, which projection is equipped with a lip extending axially towards the inside of the mold and having a frustoconical surface inclined at an angle α with respect to the axis (XX′) of the mold such that the extensions of the line of each frustoconical surface on a meridian plane intersect on the radially internal side of the segment concerned, and in which mold each shell comprises a projection extending radially outwards and provided with a lip having a frustoconical surface inclined by the same angle α with respect to the axis XX′ of the mold, wherein the mold contains force-limiting means made up of a stop and of a housing positioned respectively in the radial extension of each of the projections and each having a bearing surface, the bearing surfaces being intended to come into contact with one another when the internal pressure in the mold exceeds a given threshold.