Fundamental Research on Descriptive Statics

Abstract

AbstractFrom 287 BC when Archimedes used the fulcrum to think about the statics equilibrium problem to 1864 when K. Culmann published Die Graphische Statik, the graphic statics gradually formed a system along the research direction of the funicular polygon method. For quite a long time, graphic statics has been explored and developed in the form of a single individual, with some scholars and engineers in local areas beginning to explore its continuation as a design tool, and new mechanical theories gradually arising in most parts of the world. Thus, there is a tendency for the graphic statics to be gradually replaced by new mechanical theories due to the shortcomings such as computational accuracy. However, it is necessary to revisit the historical value of graphic statics. In order to take advantage of graphical statics and to inherit and develop the theory of descriptive geometry, this paper proposes to combine the respective advantages of the principles of statics, Monge descriptive geometry, and computer graphics to construct descriptive statics, and some fundamental research work is carried out for this purpose.KeywordsStaticsDescriptive geometryOperatorizationDescriptive statics