Concrete materials contain intrinsic randomness in their mechanical properties, and this inherent uncertainty shows statistically significant differences under various loading cases. This paper reveals the propagation behavior of concrete randomness under varying loads by combining the relationship between static strength, dynamic strength, and fatigue life from the perspectives of statistical moments and probability density. The findings indicate that the standard deviation of concrete's dynamic strength rises as strain rate increases. The nonlinear relationship between fatigue stress and fatigue life (SN curves) accounts for fatigue life's notable discreteness. First- and second-order statistical moments can accurately reflect the randomness propagation behavior when the relationship between random variables is linear or nearly linear. However, when the relationship between random variables is highly nonlinear, the probability density approach must be adopted.