Abstract: Apparatus for supporting a tire while being retreaded with a precured tread including sealing a tread and tire enclosing envelope adjacent the beads of the tire. The tire supporting rim is constituted by two coaxial tubular members with envelope sealing flanges, a first member of which is inserted axially in the second member, with the first and second members having around their circumference parts that can be connected to one another in a free and complementary fashion at the time said first member is inserted in said second member. Each of the tubular members have a plurality of grooves aligned in batches perpendicular to the axis of the tubular members with it being possible to lock the first member to the second member by partially rotating a disk housed in one of the aforementioned batches of grooves.