A theoretical study of reinforced concrete structure behavior under missile impact loading has been performed. The study was limited to cylindrical geometry and only to nondeformable missiles with a flat front nose. The finite difference Lagrangian code, which is based on crack propagation theory, has been elaborated and verified for experiments with rigid missile impact on reinforced slabs. For the initial time interval after the impact, there is good agreement between theory and experiment, not only for local quantities but also with respect to the structural response of the whole target.