“…(Hong, 2004;Gani and Légeron, 2011;Chen, 2017, 2018;Bezabeh et al, 2021a,b), two approaches have essentially been investigated within the setting of PBWE. The first is based on application of the theory of plasticity through defining the state of dynamic shakedown as a collapse prevention performance objective (Tabbuso et al, 2016;Spence, 2017, 2019;Chuang and Spence, 2020;Chuang and Spence, 2022), while the second is based on directly applying nonlinear modeling approaches developed in seismic engineering for the nonlinear analysis of the MWFRS (Judd and Charney, 2015;Mohammadi et al, 2019;Nikellis et al, 2019;Ouyang and Spence, 2021b;Ghaffary and Moustafa, 2021;Huang and Chen, 2022). The intent of the first approach is to rapidly provide a means for identifying a region in which inelasticity can occur safely, i.e.…”