Civil Engineering - GATE Exam Questions - Discussion

Discussion Forum : GATE Exam Questions - Section 2 (Q.No. 35)
35.
In a drained triaixal compression test, a saturated specimen of a cohesionless sand fails under a deviatoric stress of 3 kgf/cm2 when the cell pressure is 1 kgf/cm2 . The effective angle of shearing resistance of sand is about
37°
45°
53°
20°
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
2 comments Page 1 of 1.

Srilu said:   1 decade ago
Deviated stress = 3 kgf/cm^2, cell pressure=1 kgf/cm^2.
Effective stress = d.s+c.p,
Then eff.stress = 4.

We have an equation at plastic equibilibrium.
Eff.stress=cell pressure x tan^2(x)+2c x tan(x),
For sand(cohesionless), c=0,
Eff.str = c.p x tan^2(x).

4 = 1*tan^2(x), x = tan^-1(4/2) = 63.43,

We known that x = 45+(frin.ang)/2,

Then fri.angle = (63.43-45)*2 = 36.8.

Iswarya said:   1 decade ago
Can anyone explain the detailed solution for this?

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