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In a drained triaxial compression test, a saturated specimen of a cohesion less sand fails under a deviatoric stress of 3 kg/cm2 when the cell pressure is 1 kgf/cm2. The effective angle of shearing resistance of sand is about
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- 37°
- 45°
- 53°
- 20°
Correct Option: A
C = 0 (Cohesion less sand)
σ3 = 1 kg/cm2
σa = 3 kg/cm2
σ1 = σ3 + σd
= 1 + 3 = 4 kg/cm2
we know,
σ1 = σ3 + tan2α + 2c tan α
⇒ 4 = 1 tan2 α + c
∴ tan2 α = 4
⇒ tan α = 2
∴ α = tan–12
| α = 45 + | = tan–1 2 | 2 |
∴ Φ = 36.87° ≈ 37°
