A tire for a vehicle wheel, capable of withstanding the load at low pressure or zero pressure, includes a carcass, a crown, two axially opposed sidewalls, two bead cores, two compression-resistant annular reinforcing elements, and, optionally, a belt structure. The annular reinforcing elements are made of material having high rigidity and very low elastic
hysteresis. Each annular reinforcing element is in or adjacent to a zone joining the crown to a sidewall and in a first
plane parallel to an equatorial plane of the tire. Each bead core is in a second
plane parallel to the equatorial plane. The distance between the first planes is greater than or equal to the distance between the second planes. A camber of an arc between a bead core and an intersection of a carcass ply line with a cylindrical surface passing through the reinforcing elements does not exceed 15% of the
arc length.