The current study aims to create a practical method for assessing a beam subjected to lateral loads on a flexible base by employing a three-node beam. Numerous attempts have been made to enhance the design and assessment of shallow foundation systems, with progress observed in soil media modeling and contact action modeling between the soil and foundation. The resolution of beams resting on a pliable foundation can be utilized in a variety of critical real-world scenarios. Instances of immediate use include support beams for constructing foundations and reinforced concrete surfaces for highways and airport landing strips. The cooperation between the foundation and the soil medium presents a difficulty in their integration as they work together to support and withstand the loads. The examination of such structures requires the consideration of the concept called “Beams on an elastic foundation.” In order to design transversely loaded beams on elastic foundations securely and cost-effectively, it is crucial to develop foundation models that are both more practical and straightforward. The deformation stiffness matrices for beams and subsurface have all been generated using the finite element method (FEM). A current formulation MATLAB code was developed. The findings from this process exhibit remarkable consistency in comparison to other studies conducted by different researchers. The new method exhibits a rapid rate of convergence and is considered straightforward, dependable, and effective for analyzing beams on elastic foundations. It is a simple method that produces stress results quickly and with minimal computational time, resources, or effort.