A method is disclosed for producing slant shoulder rims for tires including the steps of: forming a metal strip into a ring and welding a longitudinal seam to complete the ring. Then thickening the cross-sectional thickness of one end of the ring by upsetting one edge of the ring with axially advancing spinning roll followed by the step of drawing a snap groove in the thickened end of the ring by radially advancing spinning rolls to form the groove indentation therein. Spinning rolls are used to bend back the outer wall of the snap ring groove. A draw spinning step forms a rim base with a profile of constant strength. A wheel flange is erected into an upright position by a spinning operation on the other end of a ring. During the erecting of the wheel flange the ring is clamped within an internal chuck while one or more spinning rolls having the surfaces for forming the wheel flange are advanced to complete the spinning operation. The outer edge of the wheel flange is severed after being erected.