A reduced shock breakaway set screw for use with medical implants and constructs for the spine having improved geometry of the groove area between the upper head portion and lower threaded portion of the set screw. The groove area of the set screw has circular and noncircular portions which in at least one embodiment comprise upper and lower radii separated by a flattened groove bottom. Other embodiments have apertures running between the groove area and an internal cylindrical bore and/or ridges or ribs running across the groove area. The improved geometry serves to slow down the fracturing process during shearing thereby increasing the proportion of energy dissipated as heat from plastic deformation of the material to the amount of energy released as kinetic energy from elastic deformation, thus reducing shock to the patient and physician without changing the preset break-off torque for the set screw.