Problem Statement

In the figure below the states of stress are shown. Take $\sigma_X$ = 25 MPa $\sigma_Y$ = 12 MPa $\sigma_Z$ = -32 MPa $\tau_{X_Y}$ = 20 MPa $\tau_{X_Z}$ = 15.5 MPa and $\tau_{Y_Z}$ = -12.5 MPa. From these values, determine the principal stresses and the value of maximum shear that the cube experiences.

Figure 7: State of Stress Cube