The Moyer method is applied to the design of transverse shielding for an electron linear accelerator, assuming uniform beam power loss along the accelerator structure. The limitations of the method with respect to primary beam energy are discussed. Only the component of the radiation field due to bremsstrahlung is considered in this paper. Parameters for this application are given and sample calculations are shown. For a beam power loss uniformly distributed with distance along a straight line of 0.5 W m−1, it is predicted that 1.2 m of concrete are needed to reduce the dose equivalent rate to 50 μSv h−1 (1.39 × 10−8 Sv s−1), at a transverse distance of 3.5 m from the source.