Fundamental Study of Descriptive Vector Statics

In engineering design, vectors are widely used, and the graphical method for vector calculation is simple and intuitive. Force is a vector quantity, and the magnitude and direction of the force vector can be expressed by the orthographic projection method, and the basic operations and graphical solutions of all force vectors and their related operations can be solved. The technique of representing spatial forms with plane figures was fascinating due to its widespread scientific and technical application, the public publication of Monge's original French work “Descriptive Geometry” in 1798, which eliminated the worries that tend to arise from over-concentration and gave pleasure to the bored intellectual training. In 1864, the Carl Kuhlmann published “Graphical Statics”. It can be seen from the research history of Monge and Carl Kuhlmann that both disciplines have long contributed and followed two different paths with their own development inertia to this day. In fact, combining the principles of graphical statics and descriptive geometry, and using vectors as the link between the two, a more reasonable path of development can be expanded. However, the rapid development of computer science has provided strong conditions for the cross-fertilization of the two disciplines, so that the static mechanics problems can be solved in a simple, intuitive and accurate way, and the application field of descriptive geometry can be expanded, forming a solid basic, strong practical and innovative educational teaching platform and a powerful engineering design platform.