A bicycle sprocket crank assembly is comprised of first and second crank arms joined to a spindle. One of the crank arms and the spindle may be fabricated as a unitary structure, or both cranks arms may be formed as separate structures and joined together. In either case the spindle has at least a first coupling end with an internally tapped axial bore defined therein and the second crank arm forms at least a first socket at its axle end. At least a first wedging sleeve is provided and is disposed about the first coupling end of the spindle. The first wedging sleeve conforms to the shapes of both the first coupling end of the spindle and the hollow cavity in the first socket. Either the coupling end of the spindle or the hollow cavity is axially tapered, and the wedging sleeve is tapered to match. The wedging sleeve is split in an axial direction, so that as the first socket is drawn onto the first coupling end of the spindle, the wedging sleeve is increasingly forced in between the inner radial surface of the hollow cavity of the socket and the outer radial surface of the coupling end of the spindle.