Note: Solve all the problems below using graphical method $($using geometric tools or AutoCad$).$ You will lose $50\%$ of points if solved by analytical method

Problem $1$: For the soil element shown in the figure, determine the following using Pole Method of Mohr's Circle.

$(20$ points$)$

a$)$ Major and Minor principal stresses and their inclinations

b$)$ Maximum in plane shear stress

c$)$ Normal and shear stress on plane AB

$($I$)$

$($II$)$

$2$