Methods for connecting drill pipe sections together using a support unit comprising an opening, a wall extending around the opening, a plurality of movable slips deployed in the opening, and a plurality of lever assemblies, each lever assembly pivotally attached to the wall and having a proximal end operably associated with at least one of the slips. A first pipe section is rotated against a second pipe section. Upward and downward movement of distal ends of said levers cause the slips to move between extended and refracted positions. In some embodiments, the second pipe section is held stationary while the extended slips, and thus the first pipe section, rotates.