In order to estimate the distribution, as well as the magnitude, of dynamic material pressures on ground-supported silos a simplified seismic analysis procedure was utilized. The seismic analysis of silos can be complex, as the evaluation of several parameters must be taken into consideration, including the properties of bulk materials used and how the bulk materials and silo wall are joined together. It is therefore useful to develop an analytical approximation in order to better assess results. In addition to a simplified model for the seismic analysis of a silo-bulk material system being utilized, a three-dimensional finite element model was also incorporated. Using the finite element method, a more realistic representation of the structure is possible. Moreover, the finite element method also takes into consideration contact problems between the bulk material and the silo wall, which results in easier analyses. Both a squat and a slender silo were selected for this study. The results obtained in the study of selected examples were compared with those findings obtained via EN1998-4. Modified Veletsos and Younan approximations, which are commonly used for the analysis of grain silos, were also used. Results and analysis concluded that the proposed analytical model provided, overall, a good outcome, especially in regards to the analysis of dynamic material pressure. It should be noted that using the analytical method as proposed in Eurocode, the dynamic material pressure for squat silos can be underestimated, but the results for slender silos are stronger.