Rolling assembly

An adapter configured to equip a rolling mounted assembly having a rotation axis, wherein the assembly includes a tire having two beads and an inner wall, a rim having two rim seats and two rim flanges;

• wherein the adapter provides a connection between one of the beads and the rim, and having a circumferential perimeter, the adapter comprising:
• an axially inner end that is configured to be mounted on the rim seat and comprises an inner reinforcing element;
• an axially outer end that comprises an outer reinforcing element;
• a body that connects said outer end to said inner end so as to form a single piece and comprises at least one main reinforcement that provides the connection between said outer reinforcer and said inner reinforcer, and an elastomer composition;
• a substantially cylindrical adapter seat configured to receive one of the beads, said seat being situated at the axially outer end of said body;
• and
• an adapter bearing face substantially contained in a plane perpendicular to the rotation axis, said bearing face being situated on the axially inner face of the axially outer end,
• wherein the reinforcing element of the axially outer end is entirely situated axially outside the bearing face, wherein the body comprises, opposite the adapter seat, an annular seat reinforce, and wherein the adapter comprises at least one, fixed or removable, conductive strip positioned over all or part of the circumferential perimeter of the adapter and along a complete path extending from the adapter seat to the rim J.