Direct method of rigidity using Mathcad Software

Abstract

Abstract Static indeterminate structures are difficult structures to solve by hand or using classical methods. They required data and time to solve. New methods for calculating them are Direct Method of Rigidity (DMR). These structures, increasingly complex, are finding use in various fields of engineering as well as in the field of aviation and space. Therefore, introducing these methods into aircraft structures, helicopters or space structures is a pretty nice and difficult challenge. An example of this is the structure of a helicopter [1] and through DMR methods; we determine the internal forces important for other designations. The calculation procedure goes through several stages. The structure and its elements in local and global coordinates are studied, and then we create the matrix of rigidity. Through matrix transformations, it became possible to program algorithms for solving both methods in Mathcad software. In conclusion, we have all the graphs of the moment, the shear force and the normal force required for further studies of the structure.