A cylindrical specimen of saturated soil failed under an axial vertical stress of 100 kN/m2 when it was laterally un-confmed. The failure plane was inclined to the horizontal plane at an angle of 45°. The values of cohesion and angle of internal friction for the soil are respectively
A. 0.5 N/mm2 and 30°
B. 0.05 N/mm2 and 0°
C. 0.2 N/mm2 and 0°
D. 0.05 N/mm2 and 45°
Answer: Option B
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A. directly proportional to time and inversely proportional to drainage path
B. directly proportional to time and inversely proportional to square of drainage path
C. directly proportional to drainage path and inversely proportional to time
D. directly proportional to square of drainage path and inversely proportional to time
σ1=σ3tan²θ+2ctanθ
σ1=2ctanθ [since, unconfined test,so σ3=0]
100=2c*1[θ=45°]
c=.05N/mm²
θ=45°+Φ/2
45°=45°+Φ/2
Φ=0°
use unconfined compression test formula for C-Fi soil.
c=Qu/2=(100*10^3)/ (2*10^6)= .05N/mm2
explain plz