Aiming at solving a difficult problem raised by the students, this study explores the teaching method of Engineering Mechanics. The combination of finite element simulation and integral derivation is attempted to be applied. The relevant finite element model is established and simulated on a computer. The simulated U3 nephogram shows the magnitude of strain with different colors (the redder the color, the greater the strain). These visual materials provide support for the students to understand the abstract concepts. Subsequently, the detailed integral calculation process is sorted out by the teachers. The result of integral calculation is 0.06385 mm, which is very close to the result of the finite element model (0.06271 mm). Finite element analysis and mathematical integral calculation support each other, which can help the students understand relevant knowledge points of Engineering Mechanics more deeply. The application of finite element modeling and simulation is an important innovation in vocational education teaching methods, which should be concerned by more scholars.