GATE 2017 CE (CE1) – Question 60
A consolidated-undrained triaxial compression test on normally consolidated clay has confining pressure 100 kPa, deviator stress at failure 80 kPa and pore-water pressure at failure 50 kPa. Find effective internal-friction angle in degrees, to one decimal place.
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Correct answer: 25.5 to 27.0
Explanation
Total minor principal stress is 100 kPa and total major stress is $100+80=180$ kPa. Subtract pore pressure to get $\sigma_3\prime=50$ kPa and $\sigma_1\prime=130$ kPa. Normally consolidated clay is treated as having zero effective cohesion. Therefore $\sin\phi\prime=(\sigma_1\prime-\sigma_3\prime)/(\sigma_1\prime+\sigma_3\prime)=80/180=4/9$. Hence $\phi\prime=26.39^\circ$, or 26.4°.
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