Required information
The state of stress at a point is $\sigma_x = -7$ kpsi, $\sigma_y = 13$ kpsi, $\sigma_z = -17$ kpsi, $\tau_{xy} = 8$ kpsi, $\tau_{yz} = 5$ kpsi, and $\tau_{zx} = -17$ kpsi.
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.
Determine the principal stresses.
The principal normal stress $\sigma_1$ is determined to be -21.1518 kpsi.
The principal normal stress $\sigma_2$ is determined to be 3.8544 kpsi.
The principal normal stress $\sigma_3$ is determined to be 28.2974 kpsi.
The principal shear stress $\tau_{1/2}$ is determined to be -12.5 kpsi.
The principal shear stress $\tau_{2/3}$ is determined to be -12.22 kpsi.
The principal shear stress $\tau_{1/3}$ is determined to be 24.72 kpsi.