Four primary design variables were identified for the SC-BRB: brace axial capacity, a self-
centering ratio, α sc , SMA initial pretension stress, F i-SMA , and SMA gage length, L SMA . The SC-BRB axial capacity, P n , is discussed in Miller et al. (2012) to be the initial SMA pretension force added to the BRB yield force as given in Eq. 1 where F ysc is the steel core yield stress, A sc is the area of the steel core and A SMA is the SMA area. The brace axial strength was varied from 445 kN to 2224 kN to represent a wide range of SC-BRB applications. A self-centering ratio, α sc , was defined as the ratio of the restoring force provided by SMA initial pretension divided by the strain hardened BRB steel core strength as given in Eq. 2 where β is the compression strength adjustment factor and ω is the strain hardening adjustment factor for the BRB, which were taken as β=1.08 and ω=1.25 for this study. The self-centering ratio was varied to take ten values between α sc =0.0 (BRB only) up to α sc =∞ (SMA only) while the SMA initial stress, F i-SMA =138 MPa, and SMA gage length equal to half the brace length were held constant. The brace axial capacity and self-centering ratio were varied parametrically. In a second part of the parametric study, the SMA pretension stress, F i-SMA , was varied in eight increments between 34 MPa to 276 MPa while the SMA gage length was varied in ten increments from 10% to 100% of the brace length. For this part of the study, the brace capacity, P n =890 kN, and the self-centering ratio, α sc =1.0 were held constant.