GATE 2022 Civil Engineering Q18

Question

Stresses acting on an infinitesimal soil element are shown in the figure (with $\sigma_z > \sigma_x$). The major and minor principal stresses are $\sigma_1$ and $\sigma_3$, respectively. Considering the compressive stresses as positive, which one of the following expressions correctly represents the angle between the major principal stress plane and the horizontal plane?

Accepted Answer

$	an^{-1} \left( \frac{	au_{zx}}{\sigma_1 - \sigma_x} ight)$

Answer

$	an^{-1} \left( \frac{	au_{zx}}{\sigma_3 - \sigma_x} ight)$

Answer

$	an^{-1} \left( \frac{	au_{zx}}{\sigma_1 + \sigma_x} ight)$

Answer

$	an^{-1} \left( \frac{	au_{zx}}{\sigma_1 + \sigma_3} ight)$