A three-dimensional printing system includes a vertical support beam, a resin vessel assembly coupled to the vertical support beam and including a resin vessel, and a support tray positioning system. The support tray positioning system includes a support tray elevator, a lead screw nut, a motorized lead screw, an intermediate nut, and a linear bearing. The motorized lead screw engages the lead screw nut to raise and lower the support tray elevator. The linear bearing constrains motion of the support tray elevator to vertical motion. The support tray elevator, the intermediate nut, and the lead screw nut interlock to constrain rotational motion of the lead screw nut with respect to the support tray elevator while allowing for two dimensional lateral motion of the lead screw nut with respect to the support tray elevator to accommodate mechanical tolerances of the lead screw with respect to the linear bearing.