The application of Finite Difference Method to the Beams on Elastic Foundation

In this paper we developed a finite difference method with the highest effect to solve the beam which is rest on elastic foundation. The method is superior to other well-known approaches to this problem in that it allows a wider range of boundary conditions to be dealt with, such as are encountered in complex engineering operations. Using the finite difference method, the equations are converted into algebraic simultaneous equations. Several example problems are discussed and illustrated, and comparisons are made with analytical results.