Proposition of a new method for quick assessment of maximum beam ductility in steel moment frame under higher mode effects

A simple equation to estimate maximum beam ductility (b) of regular steel structures under ordinary (i.e. without near fault eect) earthquakes is proposed. This equation is a function of period, number of span, and global ductility. The proposed procedure enables the rapid assessment of beam plastic rotation of existing buildings and direct deformation-controlled seismic design of new ones. To prepare rational databank, a considerable number of steel MRFs with dierent geometric congurations were analyzed using nonlinear static and dynamic procedures (NSP and NDP). The NSP is used to evaluate the plastic hinge sequencing, force, and deformation demands over the height of frames. However, the NDP is applied to prepare databank of demands. The proposed relation is based on nonlinear regression of the results of thousands of NDPs. The result of the study shows that b is signicantly higher than interstory and global ductility. Furthermore, the higher modes eect is completely sensible on increase of rotation ductility in upper stories of high-rise buildings. Finally, the ability of calculating b with acceptable precision is the advantage of the proposed relation. The result of the proposed relation, then, could be compared with acceptance criteria of FEMA356 and, therefore, the performance level would be indicated.