There are many uncertainties associated with nonlinear modeling of structures including the variability of material strength, record-to-record variability in ground motion, level of damping, actual ductility available in each element, etc. In order to obtain an unbiased prediction of performance, both ASCE 7 and ASCE 41 specify they use of "median" properties when conducting modeling and analysis. The "expected" strength is intended to be a best estimate of median probable strength.