Graphical and Analytical Analysis in the Field of Mohr’s Circles

The stress state of the elementary volume can be studied graphically, with the three main Mohr’s circles [1, 9]. In the space of the τ-σ axis system, the points in this system have many properties, where reality and imagination intertwine [9, 10]. Mohr’s circles are numerous in addition to the main circles, and they have multiple properties. It is also required to find the main stresses and then the main orientations, analytically and graphically. This article reveals the properties of Mohr's space points and ways to solve problems of volumetric stress state graphically and analytically, explaining the connection between reality and imagination, as well as giving a geometric meaning to finding the principal stresses.