In most of the structural members with initial cracks, the strength tends to decrease as the member size increases. This phenomenon is known as size effect. Among the structural materials of glass, metal, or concrete, etc., concrete represents the size effect even without initial crack. According to the previous size effect law, the concrete member of very large size can resist little stress. Actually, however, even the large-size member can resist some stress if there is no initial crack. In this study, the empirical models for uniaxial compressive strength that are derived based on nonlinear fracture mechanics are proposed by the regression analysis with the existing test data of large-size specimens.