This paper presents a new frame element for the nonlinear analysis of beam on soil foundations.The governing differential equations of the problem (strong form) are derived first. Then, the force-hybridframe element (weak form) is formulated to solve for the numerical solution of the problem. Tonti's diagramsare employed to conveniently represent the equations governing both strong and weak forms of theproblem. Finally, a numerical example is used to show that the force-hybrid element is much more accuratethan the classical displacement-based element. The nonlinear frame model proposed in this paper has practicalapplications in modeling the soil-pile structural system, geosynthetics/fiber-glass reinforcement of foundationsoils, etc.
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