In the traditional pseudodynamic tests, it is found that a very small time step, which might be smaller than that required for accuracy consideration in a period, is generally needed to reduce the extra amplitude distortion from an impulse as a load discontinuity occurs at the end of the impulse. However, a small time step might lead to a very small displacement increment, which might be small than the resolution of the displacement transducer. As a result, the displacement increment cannot be accurately imposed upon the specimen due to the limited resolution of the displacement transducer and inaccurate responses will be obtained. Alternatively, this difficulty might be overcome if a small time step is additionally performed right after the end of the impulse so that the extra amplitude distortion caused by the discontinuity can be reduced. Both numerical experiments and actual pseudodynamic tests attested to the extra amplitude distortion caused by the load discontinuity at the end of the impulse can be effectively reduced by conducting an extra small time step right after the end of the impulse. Hence, reliable shock responses can be obtained form pseudodynamic tests.