A mathematical model for beams on geosynthetic reinforced earth beds under strip loading

In this study, an attempt has been made to analyze a beam on geosynthetic reinforced earth beds subjected to strip loading. Geosynthetic layer has been assumed to have finite bending stiffness and therefore idealized as a beam. The foundation beam has been placed on compacted granular soil layer overlying the geosynthetic layer below which lies on the original weak/loose soil deposit. The upper dense and lower loose soil layers have been idealized as Winkler springs of different stiffnesses. Governing differential equations for the flexural response of the system have been derived and presented in non-dimensional form. These equations have been solved using appropriate boundary and continuity conditions. It was possible to obtain a closed form analytical solution for such a foundation system. Parametric study has been carried out considering wide range of parameters and it was observed that depth of placement of lower reinforcement layer, relative flexural rigidity of the two beams and relative stiffness of soils significantly affect the behavior of the foundation system.