$3$D Mohr's circle.

a$.$ Draw the $3$D Mohr's diagram for the above stress element. $[5$ pts$]$

b$.$ Based on your Mohr's diagram, estimate the principal stresses and max shear $[3$ pts$]$:

${}_1=$

${}_2=$

${}_3=$

${}_{\text{m}\text{a}\text{x}}=$

c$.$ Clearly label the points on the Mohr's diagram that represent the surfaces normal to the $y$ and $z$ coordinate axis $($label as: $y-$axis, $z-$axis$).[3$ pts$]$

d$.$ Using Mohr's circle, estimate the physical angle between the surface on the stress element that is normal to the $y-$axis and the surface with the $1^{st}$ principal stress. $[2$ pts$]$

Physical angle: