A continuous media approach for the calculation of the stresses in an ensiled granular media which improves on the Janssen theory has been developed. This approach also allows us to represent qualitatively as well as quantitatively the stress saturation phenomenon in granular silos. It is based on three-dimensional equilibrium equations, coupled with a slip condition and a Mohr–Coulomb criterion at the silo walls. Predictions obtained using the proposed model are in close agreement with the classical approaches for non-cohesive materials. The effect of the cohesion and the friction walls on the stored materials was also investigated.