The invention is directed to a rim such as a rim for a cycle. The rim includes a circularly extending hollow box-shaped element, in the form of a radial profile of revolution about a transverse axis, with two end surfaces of such element being joined end-to-end at a junction and affixed via a sleeve that is positioned within the hollow box-shaped element, on each side of the junction. The sleeve includes a pair of bearing portions, which exert an internal force inside and against the walls of the hollow box-shaped element, such force being generated by a relative spacing apart of the bearing portions via a spreading device, such as at least one spacing member. The spacing member can be a wedging member or a screw, configured and arranged in association with the bearing portions so as to direct the bearing forces along an essentially transverse direction toward the side walls of the rim. The invention is also directed to a wheel having such a rim, as well as to a method of manufacturing such rim and wheel.