Abstract: Guided by Teaching Guidance Sub-Committee of Basic Mechanics Course, Ministry of Education, the teaching team of National Teaching Center for Virtual Simulation Experimental Engineering Mechanics at Yantai University carries out the case design and practice of courses for ideological and political education in the teaching of material mechanics. Taking a demonstration course of stability of columns as an example, from the derivation, analysis and application of Euler's formula, this paper deeply excavates and integrates ideological and political elements, interprets the principle of dialectics, explains the valuable spirit of scientists, reflects the high-level, innovative and challenging of curriculum design and the goal of ideological and political education, and discusses the ideological and political concept of basic mechanics course with universality, in order to promote communication and improve the collaborative education effect of the course.