An assembly comprising a rim having a substantially cylindrical bearing surface having at least one depression therein, and an annular run-flat support mounted on the bearing surface. The radially inner surface of the support further comprising a protuberance to engage the depression in the rim, and wherein a radially innermost base portion of the support includes a plurality of substantially circumferentially oriented reinforcement elements. The reinforcement elements are axially spaced apart, and the reinforcement elements are absent in an axial portion of the base portion radially outward of the protuberance.