Tap mounting assemblies for reducing loads on the threaded end portions of a tap. Some exemplary embodiments employ a spring such as Belleville washers to bias apart the tap and a mounting plate, and some embodiments provide visual indication of proper tightening. Some exemplary embodiments allow angular adjustment of a portion of the tap assembly without disturbing the tapered thread engagement of the tap on the mounting surface. Exemplary embodiments may employ a base plate between a jack screw and a mounting surface.