At the preliminary design stage of a building, it is neccssary to determine thebeam and column cross-sectional sizes of frame strtictures.According to some provisions of the"Building Aseismatic Design Code"(GBJ 11-89),main factors having influence on the beam andcolumn cross-sectional sizes are analyzed.and calculating formulas for the determination of the beam and column cross-sectional sizes which are satisfied the restrained condition of horizontal dis-placement of a building are derived in this paper.