Fully understanding and controlling the strong shocks generated in an IFE environment is a complex issue that will require detailed simulations using multi-dimensional radiation-transport hydrocodes. However, simple one-dimensional numerical and analytical models can be used to set limits on the problem. One-dimensional shock propagation and attenuation in water is first examined as a surrogate for the first-wall working fluid, FLIBE; the effects of geometry, equation of state, and loading parameters are considered. Next, using the available properties of FLIBE, the energy deposition from a representative x-ray load is calculated, and is then used to develop an approximate scaling relation for the peak instantaneous pressure in the material. Finally, the energy-deposition results are used to estimate the blow-off impulse, which will drive the structural response of the containment.