A bicycle rim is provided with an annular metallic rim member and reinforcing member. The annular metallic rim member has a plurality of spoke attachment areas with a spoke attachment opening in each of the spoke attachment areas. The reinforcing member extends circumferentially about the annular metallic rim member to overlie the spoke attachment areas of the annular metallic rim member. The reinforcing member has a plurality of spoke attachment sections overlying the spoke attachment areas, respectively, and a plurality of intermediate sections disposed between adjacent pairs of the spoke attachment sections, with the spoke attachment sections being thicker than the intermediate sections.