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In this book, application of finite element method in some mechanical engineering problems is presented. The fundamental formulation of finite element method is discussed. Then the dynamic modelling of flexible link robots under large displacements and small deformations was studied and implemented. A dynamic model, based on Finite Element Method (FEM), was developed and implemented into a simulator. Also a thermo-mechanical analysis of fire door subjected to a fire was carried out. First, a fire door was subjected to standard fire tests to evaluate fire resistance. The thermal and structural response of the three-layer fire door exposed to high temperature was modeled using finite element software. The model included the necessary complication of the real door. Temperature dependency of the constituent materials was also considered in the modelling.