A split tire arrangement (10) for use with a closed torus tire (14), includes a first and second rim halves (11,12) each respectively having a first tapered diameter (23) and a second smaller tapered diameter (24) located on an inner side (21) of the split halves adjacent the first tapered diameter. A split band (13) is located on the second tapered diameter (24) and has a radially outwardly extending center portion (38) to locate the closed torus tire (14) relative to the split band (13) with the edges (34,36) of the split band terminating under the roll hoops (16,17) of the closed torus tire (14). This provides an arrangement for mounting the closed torus tire (14) to the split rim arrangement (10) without requiring the high forces of rubber sliding on metal.