Closed-form solutions for corrective eccentricity, sensitivity to accidental eccentricity and increase in peak local displacements

In this paper, starting from a closed-form formulation identified in previous research works by the authors, an estimation of the maximum rotational response of one-storey asymmetric systems under seismic excitation is obtained and developed with respect to different applications. In detail: (1) a corrective eccentricity for the evaluation of the dynamic response of asymmetric systems through “equivalent” static procedures is identified, (2) a sensitivity analysis is carried out upon the accidental eccentricity, (3) the increase in the peak local displacement due to the eccentricity is evaluated at the corner-point of the side of the system. The results provide useful insight into understanding the torsional behaviour of asymmetric systems and may directly used for preliminary design and/or check of results obtained through three-dimensional finite-element modelling of the structural system.