Finite element method is an important method to solve various complex engineering problems to obtain all kinds of information for these complex engineering structures. The Finite Element Method in Engineering provides a thorough grounding in the mathematical principles behind the Finite Element Analysis technique. Special applications such as vibration problems and elastoplastic problems are also introduced. The basic principles and methods for the establishment of finite element analysis models are mastered by students through actual case introduction. Professional engineers will benefit from the introduction to the many useful applications of finite element analysis.