Structural Mechanics is one of the professional foundation courses for the civil engineering, railway engineering, hydraulic engineering, and plays the role of bridge between the foundation course and the professional course. The “Structural Mechanics I” constructed by Beijing Jiaotong University is firstly approved to be first-class course by Ministry of Education in 2020, which indicates the course construction and the talent cultivation are coming to a new stage. In order to find a way out of the problems and difficulties during the construction of Structural Mechanics, the “3E+3E” engineered teaching ideas following “first emotional perception, then rational exploration” is proposed, in which the moral cultivation plays the guiding role, the diversified and distinguished engineering talents with innovation spirits is taken for the cultivating goal, and reforming the course by improving its high level, highlighting its innovation, and increasing its challenge level is the basic requirement. By means of effectively carrying out the blending of the ideological and political education in Structural Mechanics, optimization of teaching objectives, innovation of teaching methods during whole process, the first-class course construction of Structural Mechanics is explored. The practice results show that the proposed teaching ideas can not only provide the new thinking for the construction of “ideological and political education” and “high-level, innovative and challenging course”, but also create the conditions for realizing the cultivation of talents simultaneously with knowledge, capacity, and quality, and moreover search for an advantage approach of teaching transform from “imparting teaching” to “inquiry teaching”.