In order to effectively utilize results from quasi-static cyclic testing on structural components for the earthquakeinduced collapse risk quantification of structures, the need exists to establish collapse-consistent loading protocols representing the asymmetric lateral drift demands of structures under low-probability of occurrence earthquakes. This paper summarizes the development of such protocols for experimental testing of steel columns prone to inelastic local buckling-induced softening. The protocols are fully defined with a deformation-and a force-controlled parameter. They are generally applicable to quantify the capacity and demands of steel columns experiencing constant and variable axial load coupled with lateral drift demands. Through rigorous nonlinear earthquake collapse simulations, it is found that the building height, the column's local slenderness ratio and ground motion type have the largest influence on the dual-parameter loading protocol indexes. Comprehensive comparisons with measured data from fullscale shake table collapse tests suggest that, unlike routinely used symmetric cyclic loading histories, the proposed loading protocol provides sufficient information for modeling strength and stiffness deterioration in steel columns at large inelastic deformations.