The previous study developed a framework for estimating the probabilistic seismic demand of a steel moment-resisting frame for seismic performance assessment. The framework is based on the prediction of the maximum displacement response, dmax, of the inelastic oscillator equivalent to the first mode. This research enhances the practical applicability of the framework by simplifying the formulae and introducing new graphical solutions for estimating dmax. An example of the assessment of building responses demonstrates the effectiveness of the proposed methods, considering regional differences in seismic hazard.