Finite element technique is a unique and ancient computational method for modelling and simulation analysis in the field of soil mechanics. Computational methods are related to solution of a complex problem by means of a computer by converting them into mathematical modelling, which is also called numerical analysis and means of any computational techniques. In the field of structural engineering or geotechnical engineering this finite element method plays an important role amongst available computational methods. This chapter describes the computational modelling of a finite beam, which is considered as a raft footing resting on stone columns as a foundation subjected to static load under soil–structure interaction problem. Mathematical expressions by using finite element method have been developed by lumped parametric approach. A generalized procedure of beam subjected to a static load which is situated on soft foundation soil has been described in terms of finite difference and finite element method including boundary conditions. This numerical technique is found to be suitable for raft footing, which is considered as a finite beam subjected to a static load and supported by stone columns in soft foundation soil. Gaussian elimination method is used here for the interpolation. Generalized derivation concept developed and the constitutive mathematical equivalences have been solved by using Gaussian Elimination Iterative Scheme to reduce time-consuming process. This chapter concluded that the computational modelling approach in soil–structure interaction problem is found to be suitable to find the deflection, bending moment, and load carrying capacity of the beam considered as a raft footing supported by stone columns.