Runflat support for vehicle

An emergency support member (1) located inside a tire (9) composed of a running strip (6), two side walls, a carcass, reinforcing elements and beads, comprises a surface which supports the tire in an emergency. The surface has a ring member (3), and has a corrugated cross section with two raised sections (11,12) and a depression (4). An emergency support member (1) located inside a tire (9) composed of a running strip (6), two side walls, a carcass, reinforcing elements and beads, comprises a surface which supports the tire in an emergency. The surface has a ring member (3), and has a corrugated cross section with two raised sections (11,12) and a depression (4). Support elements (2a,2b) are located either side of the member, and at least one of the raised sections has a projection with a greater axial radius than that of the outer region of the member. The length and height of the raised sections are the same.