The desirable characteristics of an optimal earthquake intensity measure (IM) include efficiency, sufficiency, scaling robustness, and predictability. The use of such an intensity measure enables the probabilistic seismic assessment of structures to be divided into two separate components, namely seismic hazard analysis and structural response analysis, with each component being performed independently. To date, the performance of intensity measures in evaluating the collapse capacity of moment-resisting frames equipped with shape memory alloy (SMA) braces has not been investigated. This study evaluates the efficiency, sufficiency, and scaling robustness of various intensity measures for predicting the collapse capacity of such structures. For this purpose, three 3-, 6-, and 12-story structures equipped with SMA braces were designed and nonlinear models were developed. Eleven intensity measures were investigated, including Sa(T₁) as the most widely used conventional intensity measure, as well as advanced intensity measures, including INp, IB, FIV3, and SaavgM-D. The results showed that the advanced intensity measures IB, FIV3, and SaavgM-D exhibited higher efficiency than Sa(T₁). Using SaavgM-D instead of Sa(T1) reduced the dispersion of collapse capacity by approximately 62%, 54%, and 37% for the 3-, 6-, and 12-story structures, respectively. Furthermore, SaavgM-D was identified as the optimal intensity measure for the investigated structures. By simultaneously accounting for the effects of spectral shape and strong-motion duration, SaavgM-D exhibited acceptable sufficiency with respect to magnitude and fault distance and was the only intensity measure that demonstrated adequate scaling robustness.