Civil Engineering - GATE Exam Questions - Discussion
Discussion Forum : GATE Exam Questions - Section 1 (Q.No. 17)
17.
A 40° slope is excavated to a depth of 10 m in a deep layer of saturated clay of unit weight 20 kN.m3; the relevant shear strength parameters are cu = 70 kN/m2 and φu = 0. The rock ledge is at a great depth. The Taylor's stability coefficient for φu = 0 and 40° slope angle is 0.18. The factor of safety of the slope is :
Discussion:
7 comments Page 1 of 1.
JEGANATHAN said:
6 years ago
Stability number sn = c/(FrH).
Asaithambi said:
9 years ago
Shear strength parameters are cu = 70 kN/m2,
Saturated clay of unit weight = 20 kN/.m3,
Coefficient for φu = 0.18,
Excavated to a depth =10m,
Factor of safety=(Cu/(coefficient*h*unit weight).
= (70/(0.18*10*20).
= 2.
Saturated clay of unit weight = 20 kN/.m3,
Coefficient for φu = 0.18,
Excavated to a depth =10m,
Factor of safety=(Cu/(coefficient*h*unit weight).
= (70/(0.18*10*20).
= 2.
Prosanta bittel said:
9 years ago
According to me,
F.S = Cu/(Ns * γ * H).
= 2.08.
F.S = Cu/(Ns * γ * H).
= 2.08.
Karthik said:
9 years ago
F.S = Cu/Ns * γ * H.
= 70 * 20 * 10/(0.18 * 40 * 100).
= 1.94.
= 70 * 20 * 10/(0.18 * 40 * 100).
= 1.94.
Rihaan said:
9 years ago
Which formula is applied here?
Vls said:
9 years ago
This can also be calculated by the graph.
DesiNerd said:
1 decade ago
Cu->Shear strength parameter 70 KN/m2.
The formula to be used is : F.S = Cu/Ns*Gamma symbol*H.
Where,
F.S = factor of safety.
Cu=read as C sub u = Undrained shear strength parameter = 70KN/m2.
Gamma Symbol = γ = unit weight of saturated clay = 20 KN/m3.
H = Depth/Height = 10m.
Ns = read as N sub s = Taylor's stability Co-efficient = 0.18.
F.S thus works out to be = 1.94444,which approx ~ 2.
The formula to be used is : F.S = Cu/Ns*Gamma symbol*H.
Where,
F.S = factor of safety.
Cu=read as C sub u = Undrained shear strength parameter = 70KN/m2.
Gamma Symbol = γ = unit weight of saturated clay = 20 KN/m3.
H = Depth/Height = 10m.
Ns = read as N sub s = Taylor's stability Co-efficient = 0.18.
F.S thus works out to be = 1.94444,which approx ~ 2.
(1)
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