Abstract: Fastening apparatus is disclosed comprising a hollow cone, the tapered end of the cone having screw threads thereon for receiving a mating nut having a tapered opening conforming to the dimensions of the tapered end of the cone, the tapered opening having mating screw threads therein. The tapered end of the cone has a slot or a plurality of slots projecting from the outer surface of the cone member towards the opening. The cone member is adapted to be received on a shaft, the threading of the nut on the end of the cone after the cone member is placed on the shaft locking the cone to the shaft. A flange may be provided towards the base of the cone member. Additionally, the cone member may be locked onto the shaft by an additional locking member such as a set screw passing through the cone member such as the flange portion thereof. A plate may be provided which extends between the base of the cone and the tapered end of the cone member and is secured thereto through the head of the set screw in one embodiment.