A method of manufacturing a composite torque tube (10, 110), the method comprising the steps of: providing a cylindrical mandrel; positioning an end fixture on the mandrel, the end fixture including a backing surface radially enlarged relative to an outer surface of the mandrel and a plurality of openings through the backing surface; inserting a plurality of eyelet forms respectively into the plurality of openings of the end fixture; winding a fiber tow around (30, 130) the mandrel and the plurality of eyelet forms; infusing the wound fiber tow (30, 130) with a resin matrix, or using fiber tow pre-impregnated with a resin matrix in a B cure stage as the fiber tow (30, 130) for the winding step; curing the wound fiber tow (30, 130) to a C cure stage, thereby yielding a composite tube (10, 110) including an integral end flange having a plurality of bolt holes; and removing the eyelet forms, the end fixture, and the mandrel from the composite tube (10, 110); wherein the step of winding the fiber tow includes, in ordered sequence: helically winding the fiber tow (30, 130) around the mandrel in an axial direction toward the flange layer; winding the fiber tow (30, 130) partially around a first one of the eyelet forms; winding the fiber tow (30, 130) partially around a second one of the eyelet forms such that the fiber tow (30, 130) leaving the second eyelet form crosses the fiber tow (30, 130) approaching the second eyelet form when viewed in the axial direction toward the flange layer; and helically winding the fiber tow (30, 130) around the mandrel in an axial direction away from the flange layer. providing a cylindrical mandrel; positioning an end fixture on the mandrel, the end fixture including a backing surface radially enlarged relative to an outer surface of the mandrel and a plurality of openings through the backing surface; inserting a plurality of eyelet forms respectively into the plurality of openings of the end fixture; winding a fiber tow around (30, 130) the mandrel and the plurality of eyelet forms; infusing the wound fiber tow (30, 130) with a resin matrix, or using fiber tow pre-impregnated with a resin matrix in a B cure stage as the fiber tow (30, 130) for the winding step; curing the wound fiber tow (30, 130) to a C cure stage, thereby yielding a composite tube (10, 110) including an integral end flange having a plurality of bolt holes; and removing the eyelet forms, the end fixture, and the mandrel from the composite tube (10, 110); wherein the step of winding the fiber tow includes, in ordered sequence: helically winding the fiber tow (30, 130) around the mandrel in an axial direction toward the flange layer; winding the fiber tow (30, 130) partially around a first one of the eyelet forms; winding the fiber tow (30, 130) partially around a second one of the eyelet forms such that the fiber tow (30, 130) leaving the second eyelet form crosses the fiber tow (30, 130) approaching the second eyelet form when viewed in the axial direction toward the flange layer; and helically winding the fiber tow (30, 130) around the mandrel in an axial direction away from the flange layer. helically winding the fiber tow (30, 130) around the mandrel in an axial direction toward the flange layer; winding the fiber tow (30, 130) partially around a first one of the eyelet forms; winding the fiber tow (30, 130) partially around a second one of the eyelet forms such that the fiber tow (30, 130) leaving the second eyelet form crosses the fiber tow (30, 130) approaching the second eyelet form when viewed in the axial direction toward the flange layer; and helically winding the fiber tow (30, 130) around the mandrel in an axial direction away from the flange layer.