Α new version about a method of documented application of pushover analysis on asymmetric single-storey buildings has been presented, recently. The main target of this new method was to rationally consider the coupling between torsional (about vertical axis) and translational vibrations of asymmetric singlestorey building diaphragm under translational seismic excitation of its base. For this reason, the equivalent lateral static floor force according to the new method is applied using suitable dynamic eccentricities, eccentric to building Mass Centre, which are added with the accidental eccentricities, in such a way that the final design eccentricities move the application point of floor, external, lateral, static force away from the diaphragm Mass Centre. The origin point for measuring the dynamic eccentricities is called "Capable Near Collapse Centre of Stiffness ". Also, the floor lateral static force must be oriented along the building principal axes which are called "Capable Near Collapse Principal Axes" and , respectively. The appropriate dynamic eccentricities for the stiff-side and the flexible-one of the floor plan derive from extensive parametric analysis and are calculated by graphs and suitable equations. In the present work, a numerical example of an asymmetric single-storey building is presented to illustrate clearly and in detail the step by step application of the proposed pushover analysis method. It is a torsional sensitive reinforced concrete building designed in accordance with Eurocodes EN 1992-1 and 1998-1 for ductility class high (DCH). The proposed method is evaluated relative to the results of non-linear response history analysis (ΤΗ). The final results show that the proposed method of pushover analysis predicts with safety the displacement of the stiff side of the building as well as that of the flexible side.