In this paper, we present a set of equations capitalizing the multiscale modeling of the mechanical behavior of Reactor Pressure Vessel (RPV) steels before and after irradiation. The equations capture the temperature and strain rate sensitivity in addition to the contributions of microstructure features peculiar to RPV steels, such as carbides, initial dislocation network and the Hall-Petch grain size sensitivity. Dislocations are assumed to move on the {110} and {112} crystallographic planes and a simplified interaction matrix is proposed. The predicted yield stress is found in close agreement with a large number of experimental results over a large temperature range. Finally, contribution of radiation defects is accounted for using atomistic and dislocation dynamics results, revealing the effect of the solute cluster size and density on the mechanical behavior. Results are discussed and compared with an experimental database on neutron-irradiated RPV steels.