A tire rim for a rolling apparatus with wheels mounted with a camber. The rim comprises a first shoulder having a first diameter, a second shoulder having a second diameter, and a main body arranged for connecting spoke elements, wherein the first diameter is larger than the second diameter. By having the first diameter of the first shoulder larger than the second diameter of the second shoulder the restrains of the tire at the first shoulder will be different than the restrains of the tire at the second shoulder. By mounting a wheel, comprising the tire rim according to the invention, with a camber, wherein the first and second shoulder have a substantially similar distance to the floor, the tire may be supported substantially more opposite to the floor.
