A computer implemented method for automatically stacking beams from a continuously moving live deck, wherein the method involves sequentially receiving a plurality of beams onto a stacking fork assembly, pivoting the stacking fork assembly from a receiving position to a stacking position forming a tier of beams, placing the tier on a pair of bidirectional moving members, moving the tier away from the stacking fork assembly, rotating the stacking fork assembly back to the receiving position to sequentially receive another plurality of beams, pivoting the plurality of beams forming a second tier, moving the first tier back to contact the second tier, moving the contacted first and second tier away from the stacking fork assembly enabling a third or fourth tier to be formed and contact the first and second tiers, forming a bundle.