Abstract: An internal conical connecting device for connecting machine components comprising an inner bushing with a first set of parallel conical grooves, and an outer bushing with a corresponding second set of parallel conical grooves. The first and second sets of parallel conical grooves are engageable for wedging a hub into locking connection with a shaft upon axial movement of the outer bushing relative to the inner bushing. The first and second sets of parallel conical grooves have symmetrical segments removed to facilitate assembly and disassembly of the connecting device. A flat ring or integral flange is fixed to the inner bushing, and threaded members extend between the flat ring and the outer bushing. The flat ring and the threaded members are used to axially displace the inner and outer bushings relative to each other and generate a strong normal force for clamping and supporting the connected hub on the shaft.