This article is focused on the widely spread theory of straight and curved beams rested on elastic (Winkler's) foundation. For solution of these problems of mechanics, the Finite Difference Method (i.e. Central Difference Method) can be applied. The basic information about finite differences and their application are explained. This article also mentioned a new research in nonlinear behaviour of elastic foundation. Practical examples (i.e. beams with constant or variable stiffness of foundation or nonlinear foundation) are explained and solved (Matlab software).
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