Monte Carlo calculations were used to determine total tissue dose rates through slab shields for monoenergetic neutron sources with energies up to 50 MeV. Calculations are summarized for the shields surrounding the test cell of the Fusion Materials Irradiation Test Facility. Dose rates from these rigorous calculations have been compared to dose rates obtained with effective removal cross sections so that such removal cross sections may be used for preliminary bulk shield assessments involving source neutrons with energies greater than ∼15 MeV.