A bicycle rim constructed from a fiber reinforcement impregnated with a resinous material to provide stiffness, strength, is light in weight and presents minimal aerodynamic drag. The rim is constructed from two semi-circular rim sections that are each formed from glass, carbon, or boron fibers that are applied at distinctive crossing angles as layers or “plys”, receive an epoxy thermoset resin or a nylon thermoplastic resin, and are cured in a mold cavity. A pair of rim half sections are matched and are coupled together at their ends into a circle by telescoping aligned ends of each of the rim half sections over inner inserts that an epoxy structural adhesive has been applied to, and the joined rim section ends receive a gusset fitted and bonded along the rim half section end junctions, and with the finished rim drilled appropriately. to receive and mount spoke ends.