What are the assumption in Beam on elastic foundation?

In the analysis of beams on elastic foundations, several key assumptions are typically made. Firstly, the foundation is considered to provide a continuous, elastic support that reacts proportionally to the displacement of the beam. Secondly, the beam is assumed to be linearly elastic, meaning it follows Hooke's Law, and its deflection is small relative to its length. Additionally, the foundation's reaction is often modeled using a spring constant, leading to a simplified representation of soil-structure interaction. These assumptions facilitate the mathematical modeling and analysis of beam behavior under various loading conditions.