Example $3\mathrm{.}4$ Mohr Circle Extension

For the soil profile given below, assume that the moist unit weight, ${}_{m_0}$ is $120pcf$ and the saturated unit weight ${}_{\text{g}\text{a}\text{t}},$ is $125pcf.$ For an element shown in the profile shown below, complete the following:

Compute the total and effective vertical stresses acting on the element

Assuming that the horizontal total stress is equal to $0\mathrm{.}5$ times the total vertical stress, and that the vertical and horizontal stresses are also the principal stresses, draw the stress acting on the element.

Draw Mohr circle for the element and find the pole.