A method of simulating the impact load characteristics acting on concrete structures during accidental collisions of vehicles, aircraft, ships, etc. is considered. The impacting body is modeled as a system consisting of interconnecting lumped masses, springs and dashpots. Each lumped mass has the longitudinal and rotational degrees-of-freedom in order to simulate not only the rigidity but also eccentricity in the impacting body. Verification of the analytical method is carried out through comparisons with experimental results. Consequently, it is found that the impact load characteristics as well as acceleration response can be simulated quite accurately. Parametric evaluations of the resulting impact load characteristics based on the effects of mass distribution, spring constants, collision speed and eccentricity are carried out. These parameters are considered to be the main factors that influence the final impact force-time function. Furthermore, the analysis is linked through an interactive process to a separate analytical procedure that is capable of predicting the dynamic response of concrete slab structures. Finally, the response of concrete handrails under vehicular impact collision is performed.