Problem $1$

For a Cu triaxial test, $\backslash$sigma $\_(3)=12\backslash$psi and $(\backslash$sigma $\_(1)-\backslash$sigma $\_(3))$ increases from $0$ to $12$ psi $.$ In a p$-$q

diagram:

aA$=1$ and B$=1$

iiA$=(2)/(3)$ and B$=1$

Problem $2$

A clay sample is consolidated in a triaxial cell under a hydrostatic pressure, $\backslash$sigma $\_(3)=10\backslash$psi $.$

After consolidation was completed, the drain valve was closed and additional vertical

stress was applied without drainage. As axial stress was increased, the lateral stress was

decreased such that $\backslash$sigma $\_($oct $)$ remains constant. On p$-$q diagram, show the following:

a$\backslash$sigma $1$ increases from $10$ psi to $16$ psi $,$ and,

bA$=(2)/(3)$ and B$=1.$