Question

For a triaxial shear test conducted on a sand specimen at a confining pressure of 100$kN/m^2$ under drained conditions, resulted in a deviator stress $({\sigma }_1-{\sigma }_3)$ at failure of 100$kN/m^2$. The angle of shearing resistance of the soil would be

• A. ${18.43}^{\circ }$
• B. ${19.47}^{\circ }$
• C. ${26.56}^{\circ }$
• D. ${30}^{\circ }$

Answer 1

The correct option is B ${19.47}^{\circ }$

For sand specimen,

c = 0

Confining pressure,

${\sigma }_3=100kN/m^2$

Deviator stress,

${\sigma }_1-{\sigma }_3=100kN/m^2$

$\Rightarrow {\sigma }_1=100+{\sigma }_3$

$=200kN/m^2$

${\sigma }_1={\sigma }_{3}ta{n}^2(45+\varphi /2)$

$\Rightarrow 200=100ta{n}^2(45+\varphi /2)$

$\Rightarrow \varphi =19.47$