Analyzation of General Displacements of Mechanical Structures Using Self-equilibrated Forces

The main tasks of a mechanical engineer are constructing graphs of internal forces and displacements of different sections of a mechanical structure. Structures can be determinate and indeterminate, and they can be very challenging and difficult to solve. Engineers have developed various methods that can define the displacements of a variable structure section. This article describes a new method that is faster and easier to use for defining the displacements of a variable structure section. It can be used by other engineers, such as civil engineers, architects, etc. This new method, derived and proved by restructuring and analyzing traditional methods, allows us to define each structure section’s linear displacements and rotation angles more simply. In this case, it is not necessary for Mohr’s graph to find the reactions and construct the graphs of the internal forces.