A method for processing a tire and a wheel for forming a tire wheel assembly, comprising the steps of: arranging the tire adjacent a tire sidewall engaging surface (322b''', 322c'''); partially arranging the wheel within a passage (T P) of the tire such that one or more of an upper bead (T BU) of the tire and a lower bead (T BL) of the tire is/are not entirely arranged about a circumference (W C) of the wheel; moving the wheel between a first tire tread engaging device and a second tire tread engaging device; utilizing the movement of the wheel to impart corresponding movement of the tire such that a tread surface (T T) of the tire directly engages both of the first tire tread engaging device and the second tire tread engaging device, characterized in that the movement of the wheel results in the wheel passing between a first wheel-contacting portion (322b" ") extending from the first tire tread engaging device and a second wheel-contacting portion (322c" ") extending from the second tire tread engaging device such that a surface portion of the wheel directly engages both of the first wheel-contacting portion (322b"") and the second wheel-contacting portion (322c"") for: causing both of the upper bead (T BU) of the tire and the lower bead (T BL) of the tire to be arranged about the circumference (W C) of the wheel, wherein the causing step includes one or both of a substantially circular, upper tire opening (T OU) and a substantially circular, lower tire opening (T OL) that form the passage (T P) of the tire to be manipulated to have a substantially non-circular form for permitting both of the upper bead (T BU) of the tire and the lower bead (T BL) of the tire to be arranged about the circumference (W C) of the wheel. arranging the tire adjacent a tire sidewall engaging surface (322b''', 322c'''); partially arranging the wheel within a passage (T P) of the tire such that one or more of an upper bead (T BU) of the tire and a lower bead (T BL) of the tire is/are not entirely arranged about a circumference (W C) of the wheel; moving the wheel between a first tire tread engaging device and a second tire tread engaging device; utilizing the movement of the wheel to impart corresponding movement of the tire such that a tread surface (T T) of the tire directly engages both of the first tire tread engaging device and the second tire tread engaging device, characterized in that the movement of the wheel results in the wheel passing between a first wheel-contacting portion (322b" ") extending from the first tire tread engaging device and a second wheel-contacting portion (322c" ") extending from the second tire tread engaging device such that a surface portion of the wheel directly engages both of the first wheel-contacting portion (322b"") and the second wheel-contacting portion (322c"") for: causing both of the upper bead (T BU) of the tire and the lower bead (T BL) of the tire to be arranged about the circumference (W C) of the wheel, wherein the causing step includes one or both of a substantially circular, upper tire opening (T OU) and a substantially circular, lower tire opening (T OL) that form the passage (T P) of the tire to be manipulated to have a substantially non-circular form for permitting both of the upper bead (T BU) of the tire and the lower bead (T BL) of the tire to be arranged about the circumference (W C) of the wheel. causing both of the upper bead (T BU) of the tire and the lower bead (T BL) of the tire to be arranged about the circumference (W C) of the wheel, wherein the causing step includes one or both of a substantially circular, upper tire opening (T OU) and a substantially circular, lower tire opening (T OL) that form the passage (T P) of the tire to be manipulated to have a substantially non-circular form for permitting both of the upper bead (T BU) of the tire and the lower bead (T BL) of the tire to be arranged about the circumference (W C) of the wheel.