Manual de Estabilidad de macizos rocosos. Geotecnia y Geomecanica.
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Descripción: Manual de Estabilidad de macizos rocosos. Geotecnia y Geomecanica.
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Descripción: studying of slope soil stability in construction
University of East London, 3rd year disseration project on the rock slope stability of Cliff End, Hastings. It took a year to complete this project but would have taken much less time if it …Description complète
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Comparation of slope stability analysis softwares. Geo, Z-soil, plaxis and Jozlope.
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short course
short course
to find slope stability analysis of embankment under dry,wet,with reinforcement conditions.Full description
Descripción: Download Theory of Vibration with application 5th Solution
Left Abutment Slope Stability in Dry Condition (No Support) Input Parameters Dip of the Slope Slope ψf =
81.00
o
Dip of the Failure Plane ψ p =
53.00
o 3
0.0265 MN/m
Unit Weight of Material γ = Angle of Interface Friction φ =
30.00
Cohesion of Failure Plane C =
o
0.00 Mpa
Height of the Slope H =
15.00 m
Slope Parameters Cot ψf =
0.16
Tan ψf =
6.31
Cot ψp =
0.75
Tan ψp =
1.33
Sin ψp =
0.80
Cos ψp =
0.60
Cosec ψp =
1.25
Depth of Tension Crack The Transion of Tension crack crack from slope face to Upper Upper Slope Surface occurs occurs when the tension crack coincides with the slope crest. i.e. When, Z H
1 Cot f .Tan p
Z/H=
0.79
Depth of of Te Tension Cr Crack (Z (Z) =
11.85 m
Critical Tension Crack Depth When the slope is dry or nearly dry, the Factor of Safety reaches a minimum value which corresponds to a tension crack depth of 0.42H . The critical tension crack depth for a dry slope can be found by minimising the factor of safety with respect to Z / H. This gives the critical tension crack depth as,
Z c
1 Cot f .Tan p
H Zc / H =
0.54
Zc =
8.12 m
Location of Tension Crack From the Geometry of the Slope, the corresponding position of the tension crack is,
bc H
Cot f .Cot p Cot f
bc / H =
0.19
bc =
2.81 m
Dimension Less Coefficient for Factor of Safety Computaion The ratios P, Q, R, S are all dimensionless which which means that they depend depend upon the geometry but not upon the size of the slope. Hence in case where C= 0, the Factor of Safety is independent of the size of the Slope.
Z c
H
P 1 P=
.Co sec p
0. 5 7 4 1
Z 2 Q 1 c Cot p Cot f .Sin p H Q=
0.2988
w Z w Z c
R
.
.
Z c H
Zw =
0.00 (No Water in the Tension Crack)
R=
S
0.00
Z w Z c .
Z c H
S=
.Sin p
0.00 (No Water in the Tension Crack)
Factor of Safety The Factor of Safety of the Slope is given by the total force resisting sliding to the total force tending to induce sliding.
Factor of Safety
2 C H . P
Q. Cot p R P S Tan Q R . S Cot p
Factor of Safety = 0.44 Factor of Safety for Different Slopes The Stability Analysis has been done for different slopes with the same strength parameters and the values are tabulated below. The below shown Graph has been Plotted between Dip of the Slope and corresponding Factor of Safety.
Rock Slope Stability at Dry Condition for Various Slopes Dip of the Slope ψ f
DEMWE LOWER HYDRO ELECTRIC PROJECT, ARUNACHAL PRADESH Left Abutment Slope Stability in Dry Condition Input Parameters Dip of the Slope ψf =
81.00
o
Dip of the Failure Plane ψ p =
53.00
o
Unit Weight of Material γ = Angle of Internal Friction φ = Cohesion C = Height of the Slope H = Horizontal Seismic Coefficient (KH) =
3
0.0265 MN/m 30.00
o
0.00 Mpa 15.00 m 0.14 g
Slope Parameters Cot ψf =
0.16
Tan ψf =
6.31
Cot ψp =
0.75
Tan ψp =
1.33
Sin ψp =
0.80
Cos ψp =
0.60
Cosec ψp =
1.25
Depth of Tension Crack The Transion of Tension crack from slope face to Upper Slope Surface occurs when the tension crack coincides with the slope crest. i.e. When, Z H
1 Cot f .Tan p
Z/H= Depth of Tension Crack (Z) =
0.79 11.85 m
Critical Tension Crack Depth When the slope is dry or nearly dry, the Factor of Safety reaches a minimum value which corresponds to a tension crack depth of 0.42H . The critical tension crack depth for a dry slope can be found by minimising the factor of safety with respect to Z / H. This gives the critical tension crack depth as, Z c
1 Cot f .Tan p
H Zc / H = Zc =
0.54 8.12 m
Location of Tension Crack From the Geometry of the Slope, the corresponding position of the tension crack is,
bc H
Cot f .Cot p Cot f
bc / H = bc =
0.19 2.81 m
Dimension Less Coefficient for Factor of Safety Computaion e ra os , , , are a mens on ess w c means a ey epen upon e geome ry u not upon the size of the slope. Hence in case where C= 0, the Factor of Safety is independent of the size of the Slo e.
Z c
H
P 1
.Co sec p
P = 0.574051
Z c H
Q 1
Q=
R
w Z w Z c .
.
Z c H 0.00 (No Water in the Tension Crack)
R=
S=
Cot p Cot f .Sin p
0.29883
Zw =
S
2
0.00
Z w Z c .
Z c H
.Sin p
0.00 (No Water in the Tension Crack)
Factor of Safety (Static Condition) The Factor of Safety of the Slope is given by the total force resisting sliding to the total force tending to induce sliding.
Factor of Safety
2 C H . P
Q. Cot p R P S Tan Q R . S Cot p
Factor of Safety = 0.44 Factor of Safety (Pseudo-Static Condition)
F .O.S with Support
CA W .(Cos p K H .Sin P ) U V .Sin p .Tan W .( Sin p K H .Cos P ) V .Cos p
Factor of Safety = 0.32 As the F.O.S of the Slope is lessthan the Requirement, the Slopes need to be Supported with suitable
measures to achive desired Factor of Safety. Reinforcement for the Slope
The Factor of Safety of the Slope with Reinforcement is Given by, F .O.S with Support
CA W .(Cos p K H .Sin P ) U V .Sin p T .Sin t p .Tan W .( Sin p K H .Cos P ) V .Cos p T .Cos T p
Where, A = Sectional Area of Sliding Mass. W = Weight of the Sliding Mass. U = Water Force in the Sliding Plane. V = Water Force in the Tension Crack. T = Tension in the Anchor. ψt = Angle of the Anchor Bar with Horiz. Cross Sectional Area of Sliding Mass
A H bc Tan s Z c .Co sec p Upper Slope angle ψs = A=
0
o
2
8.611 m
Weight of the Sliding Mass
1 1 2 W 1 Cot f .Ta n p bc . H . H 2 .Co t f .bc .Ta n s Ta n p 2 2 W=
1.116 MN/m
Water Force in the Sliding Plane U
1 2
. w . Z w H bcTan s Z c .Co sec p
U=
0.000 MN/m
Water Force in the Tension Crack
V V=
1 2
. w .Z w
2
0.000 MN/m
Tension Force in the Anchor Bar Considered Four numbers of 25mm dia fully grouted Anchor bars each of 15.0 MT capacity. The Spacing between the Anchor Bars is 2.0m in the Vertical Plane. Capacity of grouted Anchor bar = Nos. of Grouted Anchor in VP = Total Tension Force T =
