Calibration of corrective eccentricities for nonlinear static analysis of asymmetric single-storey systems with interaction yield domain

The authors of this paper have recently proposed a nonlinear static method for asymmetric structures, which is alternative to that stipulated by seismic codes. According to this method, the maximum dynamic displacements of the deck can be enveloped by two pushover analyses performed applying the lateral force with two different eccentricities with respect to the centre of mass of the deck. These eccentricities, named corrective eccentricities, are defined so that the two corresponding pushover analyses provide displacements that are equal to those evaluated by nonlinear dynamic analysis at the two sides of the deck. In the past, analytical equations have been proposed to evaluate the corrective eccentricities based on the response of single-story systems constituted by a rigid deck supported by vertical uni-directional resisting elements. These elements provide lateral stiffness and strength in their plane only and are representative of shear-walls or braced frames, while they are not effective in simulating the inelastic response of columns of framed structures. In fact, columns provide lateral stiffness and strength in all the horizontal directions and are characterised by a bi-axial yield domain. In this paper, new analytical equations for the corrective eccentricities are calibrated by asymmetric single-storey systems with bi-directional resisting elements.