A low cost disposable reamer shaft is made from a rod or tube stock of stainless steel, Nitinol or fiber reinforced polymer having a precise outer diameter in the range of 4 to 14 millimeter and is cut to a shaft length of 250 to 400 millimeters. An attachment piece with male or female thread matching a spherical hollow or tapered hollow reamer is machined and glued with epoxy on one end of the rod of tube stock using a precision centerline aligning jig. An attachment piece for connecting to a drive power unit is machined and glued with epoxy to the other end of the rod or tube stock thus forming a low cost disposable reamer shaft that aligns the centerline of the shaft with that of the reamer. The shaft contacts the reamer at two attachment locations that are displaced from each other, providing precise centerline alignment.