PLEASE DO PROBLEM $4$

Problem $3)\backslash$

For each of the stress states listed below, find all three principal normal and shear stresses.

Draw a complete Mohr's three$-$circle diagram and label all points of interest.

${}_x=-80$MPa,${}_y=-30$MPa,${}_{xy}=20$MPacw

Note: Draw only one circle for plane stress and use the $2$ principal stresses for that one circle.

Problem $4)$

The state of stress at a point is ${}_x=20,{}_y=0,{}_z=20,{}_{xy}=40,{}_{yz}=-20\sqrt[\phantom{2}]{2},$ and ${}_{zx}=$

$0$ kpsi $.$ Determine the principal stresses, draw a complete Mohr's three$-$circle diagram, label$-$

ing all points of interest, and report the maximum shear stress