$20-21-$SPR$-$Final Exam$-$Question $2(35$ pts$)$: The axial and shear stresses acting on an element are shown below. The numbers given in the tables are just absolute magnitudes, you can determine their signs from the sketch. Draw Mohr's Circle and calculate

the principal stresses

the orientation of the principal plane $($please draw it$)$

the maximum in$-$plane shear stress at this point.

${}_x$ changes depending on the FIRST letter of your NAME. Write the value you use.

$\backslash$table$[[$Stress$,$ABC,CDDE,FGG$,$HII,JKL$,$MNOO,PQR$,$SST$,$U$$V$,$WXYZ$],[{}_x($MPa$),30,35,40,45,50,55,60,65,70,75]]$

${}_y$ changes depending on the LAST letter of your NAME. Write the value you use.

$\backslash$table$[[$Stress$,$ABC,CDE,FGG$,$HII,JKL$,$MNO$,$PQR$,$S$$T$,$U$$V$,$WXYZ$],[{}_{y(MPa)},40,45,50,55,60,65,70,75,80,85]]$

${}_{xy}$ changes depending on the LAST digit of your Student ID$.$ Write the value you use.

$\backslash$table$[[$Stress$,0,1,2,3,4,5,6,7,8,9$