railway RRB JE (CBT I + CBT II) Mock Test 2024 Soil Mechanics and Foundation Engineering Stability of Slopes
Which of the following is the correct expression for the weight 'W' for Culmann's graphical method? Symbols have their usual meanings.
W = Weight of the slope mass above the failure plane
β = Slope angle with the horizontal
H = Height of the slope
θ = Angle of the failure plane with the horizontal
γ = Unit weight of soil
L = Inclined length of the failure plane
1
\(\rm W=\frac{1}{4}\)γLH cos β sin (β - θ)
2
\(\rm W=\frac{1}{4}\)γLH cos e cβ sin (β - θ)
3
\(\rm W=\frac{1}{2}\)γLH cos β sin (β - θ)
4
\(\rm W=\frac{1}{2}\)γLH cos e cβ sin (β - θ)