A wheel construction (10) includes a wheel rim (12) which in use, receives a tyre (13), the rim (12) being circular and having axially inner and outer portions (19, 20) each of which provides a flange (24) which in use provides a seat for a bead (26) of the tyre (23), and the wheel construction (10) including a mid-portion (29) between the inner and outer portions (19, 20), and side parts (30), connecting the mid (29) and outer portions (19, 20), the mid-portion (29) including a circumferential well (28) where the radius of the wheel rim (12) is a minimum, at least one of the side parts (230) including a plurality of curved regions (38, 39), the plurality of curved regions (38, 39) each being immediately adjacent to each other whereby the side part (30) is continuously undulate. Each curved region (38, 39) provides at least a further two circumferential wells (40, 41). For each adjacent two curved regions, there is an effective angle between a plane normal to the axis of the wheel and a line struck tangentially at a point of inflection between the two curved regions at a tyre side of the rim, of between 25 DEG and 45 DEG .