Answered: If the stability number is 0.07, unit…

If the stability number is 0.07, unit weight of soil is 30 kN/m³ concession is 20 kN/m?, factor of safety is 2.5 then safe max. height of the slope is A 5.0 m B 2.0 m C 3.81 m D 4.50 m

Principles of Geotechnical Engineering (MindTap Course List)

9th Edition

ISBN:9781305970939

Author:Braja M. Das, Khaled Sobhan

Publisher:Braja M. Das, Khaled Sobhan

Chapter15: Slope Stability

Section: Chapter Questions

Problem 15.13P

See similar textbooks

Related questions

Q: A long slope is formed in a soil with shear strength

Q: An infinite slope consists of bed rock inclined at 15° to the horizontal that is covered by 4 m…

A: (a) It is required to determine the factor of safety of the slope. Here, c’ is the cohesion, H is…

Q: valuate the FoS for the below slope, when it is underlain by a hard stratum as shown below: 1:2.5 H=…

A: To find FOS

Q: A slope is 5 m high and has an angle of 45°. The soil parameters of the soil are: c'= 18 kN/m²,…

A: Solution: Given Data: H=5mβ=45°c'=18 kN/m2φ'=15°γ=17.1 kN/m3 cγHtanφ'=1817.1×5×tan15°=0.785Stability…

Q: An infinitely long slope having a slope angle of 50° and critical height of 6.67 m is made of a soil…

A: Given: Angle of slope, β = 50° Critical height, H = 6.67 m Cohesion of soil, C = 21 kPa Dry unit…

Q: A long natural slope in an over-consolidated clay (c'=10kPa, φ'=25deg, γsat=20kN/m3) is inclined at…

A: FOS for clay s given byFOS=C+γ'zcos2βtanϕγsat zcosβsinβgiven β=10°ϕ=25°γsat=20Kn/m3c=10Kpa

Q: An infinite slope has shear strength parameters at the interface: c = 30 kPa, φ = 30°, ⍴ = 17 kN/m3…

A: The given data is shown below: c=30 kPaϕ=30°ρ=17 kN/m3Hcr=8m

Q: A cut slope is to be made in a clayey soil to permit construction of a new highway as shown below. A…

A: The factor of safety against sliding: Fs=C+σn¯tanϕτ .......................................(1)…

Q: 15.10 The inclination of a finite slope is 1 vertical to 2 horizontal. Determine the slope height,…

Q: A long slope is made with sand having an internal friction angle of 36°. If the slope is submerged…

A: Given data: Internal friction angle of sand, ϕ = 36° Factor of safety = 2 Saturated unit weight of…

Q: An embankment for road traffic is required to be constructed with the following dimensions :Top…

A: Solution : From above question we get,

Q: What is the factor of safety of a slope behind a geomembrane-lined pond when it is empty if the soil…

A: A factor of safety is generally the load-carrying capacity of a system of soil what the system…

Q: An infinite slope, with a slope angle of 14° made up of a cohesionless soil having o = 30° and y, =…

Q: 3. A cut slope consist of soil materials that has a unit weight of 16 KN/cu.m and undrained shear…

A: Unit wt of soil (γ)=16 KN/m3Undrained shear strength(cu) =28KN/m2β=50°stability number(Sn) = 0.17

Q: A long natural slope in an over-consolidated clay (c=10kPa, p=25deg, ysat=20kN/m3) is inclined at 10…

A: Given data, c= 19kN/m² Φ= 25° Ysat= 20kN/m³ H= 5m Yw= 10kN/m³ i= 10° Factor of safety=?

Q: The soil of an 21 degree infinite slope is subjected to full depth seepage. The soil properties are…

Q: A cut slope is to made. The unit weight of soil is 17 kN/m^3 and the angle of internal friction is…

Q: An infinite slope is to be constructed in a soil. The effective shear strength parameters of the…

A: Given data, Slope is infinite and seepage taking parallel to slope means water table is at top of…

Q: An infinite slope of soil, with height 10 m, is inclined at an angle of 35° to the horizontal. The…

A: Given- Height=10 mangle of inclination=35oCohesion C'=22 kN/m2ϕ'=22oIt is needed to find the FOS

Q: A cut slope is planned in a soil having properties as follows: γ = 19.3 kN/m3, ϕ′ = 19°, and c′ = 55…

A: The formula to calculate the height is given by, Fs=c'γHcos2βtanβ+tanϕ'tanβ ...1 Here,…

Q: An infinite slope in purely cohesive soil has a saturated unit weight of 20 kN/m^3 and effective…

Q: Figure 15.48 shows an infinite slope with H = 8.22 m, and the groundwater table coinciding with the…

A: Stability of the slopes: The stability of the slopes depends on the condition of flow depth and type…

Q: Find the value of passive earth pressure coefficient if the angle of shearing resistance as 26…

A: Given :- Angle of shearing resistance Ø = 260 Passive Earth Pressure coefficient Kp = 1+sinØ /…

Q: Determine the minimum factor of safety of a slope with the following parameters: H = 12.2 m, ß =…

A: It is required to determine the value of c'/γH. c'γH=23 kNm218.4 kNm3×12.2 m=0.1

Q: A slope is to be constructed at an angle of 30° to the horizontal from a soil having the properties,…

Q: A long slope is made up of a cohesionless (c'=0) soil with the internal friction angle of 34°. If…

A: Given:

Q: Figure 15.47 shows an infinite slope with H = 9.14 m and the groundwater table coinciding with the…

A: Given:- Depth of the slope (H) = 9.14 m Specific gravity of the soil (Gs) = 2.7 Void ratio (e) =…

Q: If the stability number is 0.07, unit weight of soil is 30 kN/m³ concession is 20 kN/m?, factor of…

Q: other in submerged condition) in a sand deposit For two infinite slopes (one in dry condition and…

Q: An infinite long slope having inclination of 26 in an area is underlain by firm cohesive soil…

Q: (a) Calculate the thing of protection of the block against sliding if the density of the rock is…

Q: An unsupported slope of height 15 m is shown in the figure (not to scale), in which the slope face…

Q: A very long slope is inclined at an angle ßto the horizontal, in a clay soil having a unit weight y=…

Q: A long slope is formed in a soil with shear strength parameters: c’ = 0 and ϕ’ = 34⁰. A firm stratum…

A: Given: The cohesion of soil is 0. The angle of internal friction is 34o. The saturated unit weight…

Q: 7. A long slope is formed in a soil with shear strength parameters: and o' 0 and c' = 0 o' = 34°. A…

Q: Determine the Factor of safety of an infinite slope having height 4.75m inclined at 18.75° to the…

Q: - A long slope is formed in a soil with shear strength parameters: c' = 0 and ' = 34°. A firm…

Q: A slope is to be constructed at ah angle of 30° to the horizontal from a soil having the properties,…

Q: An infinite slope in purely cohesive soil has a saturated unit weight of 20 kN/m^3 and effective…

Q: Given an infinite slope with the following properties: γ = 17 kN/m3, H = 5 m, β = 34°, φ = 25° and c…

A: ###determination of Normal stress, shear stress, FOS.

Q: A 450 slope has been excavated to a depth of 8m in saturated clay which has following properties;…

A: GIVEN DATA: ARC LENGTH=18.84 m RADIUS=12m DEGREE OF SLOPE=45∘ UNIT WEIGHT γ=20 KN/m3 CU=60KPA ϕ=0

Q: An unsupported slope of height 15 m is shown in the figure (not to scale), in which the slope face…

Q: GEOTECHNICAL ENGINEERING For the clay slope, on rock determine the FS. If Kh = 0.4 (seismic factor)…

A: Given- Kh=0.4H=16mβ=30°γsat=20Kn/mCu=50Kn/m2

Q: Determine the Factor of safety of an infinite slope having height 4.75m inclined at 18.75° to the…

A: Given data- Height H=4.75 mangle ϕ=18.75ocohesion c'=24.6 kN/m2 ϕ'=35ounit weight γ=17.83 kN/m3To…

Q: A fully submerged infinite sandy slope has an inclination of 30° with the horizontal. The saturated…

Concept explainers

Asphalt Binders and Mixtures

Asphalt binders are subsidiary products procured during the refining process of petroleum while manufacturing gasoline, diesel, and similar petroleum products. Asphalt binders are obtained from the residue that remains after the distillation of petroleum, this residue is further subjected to steam distillation and oxidation to remove the traces of gas oil present in the residue. Certain additives or modifiers are also added to asphalt binders to alter them to suit different applications.

Question

I need the answer as soon as possible

If the stability number is 0.07, unit weight of
soil is 30 kN/m³ concession is 20 kN/m?,
factor of safety is 2.5 then safe max. height
of the slope is
A
5.0 m
B 2.0 m
C
3.81 m
D
4.50 m

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

An embankment for road traffic is required to be constructed with the followingdimensions :Top width = 8 m, height = 4 m, side slopes= I V : 1.5 HorThe unit weight of soil under the worst condition is 21 kN/m3. The surcharge load on theroad surface may be taken as 50 kN/m2. Compute the vertical pressure at a depth of 6 mbelow the ground surface at the following locations:(i) On the central longitudinal plane of the embankment,(ii) Below the toes of the embankm
An infinite slope consists of bed rock inclined at 15° to the horizontal that is covered by 4 m (measured vertically) soil with ?′=10?N/?2, ?′=24° and ?=19.0?N/?3.a. What is the factor of safety of this slope?b. If there is steady state seepage through the soil, with the water table coinciding with the ground level, what would be the factor of safety? Assume ?sat = 19.0?N/?3.
An infinite slope in purely cohesive soil has a saturated unit weight of 20 kN/m^3 and effective cohesion of 48 kPa. It has a slope of 18 degree. The clay has a depth of 5m over ledge rock. Depth of clay is measured vertically. 1. Determine the FS against slippage. 2. Determine the critical depth. 3. Compute for the stability number.
An infinite slope is inclined at 22 degree. A plane of failure has developed at depth of 8 m from the surface. Given dry unit weight = 18kN/m3, c’ = 12kN/m2, angle of friction = 23.5 degree and saturated unit weight = 23kN/m3. Calculate the slope factor of safety if: (i) water table exists far from the slip line
Given an infinite slope with the following properties: γ = 17 kN/m3, H = 5 m, β = 34°, φ = 25° and c = 20 kPa. a. Determine the normal stress. b. Determine the shear stress. c. Determine the factor of safety.
An embankment for road traffic is required to be constructed with the following dimensions :Top width = 8 m, height = 4 m, side slopes= IV : 1.5 HorThe unit weight of soil under the worst condition is 21 kN/m3. The surcharge load on the road surface may be taken as 50 kN/m2 Compute the vertical pressure at a depth of 6 mbelow the ground surface at the following locations:(i) On the central longitudinal plane of the embankment,(ii) Below the toes of the embankment. If the top width of the road given in above Problem is reduced to zero, what would be the change in the vertical pressure at the same points?
3. An infinite slope has shear strength parameters at the interface: c = 30 kPa, φ = 30°, γ = 17 kN/m3 (Assume 1 m strip perpendicular to the paper and 1 m strip along the inclination of the infinite slope). a. If H = 5 m, and β = 20°, find the sliding force. b. If H = 5 m, and β = 20°, find the force that resist sliding on the rock surface. c. If HCR = 8 m, find the minimum angle β so that the slope is stable.
An infinite slope has shear strength parameters at the interface: c = 30 kPa, φ = 30°, ⍴ = 17 kN/m3 (Assume 1 m strip perpendicular to the paper and 1 m strip along the inclination of the infinite slope). If HCR = 8 m, find the minimum angle β so that the slope is stable.
GEOTECHNICAL ENGINEERINGFor the clay slope, on rock determine the FS. If Kh = 0.4 (seismic factor)data H = 16 m β = 30 ° Ysat = 20 kn / m3 Cu = 50 kn / m2
A long slope is made up of a cohesionless soil with the internal friction angle of 34°. If the water table rises to the surface of the slope, then determine the maximum possible value of the slope angle to get a factor of safety of 1.5. Take saturated unit weight as 18 kN/m3 and the unit weight of water as 10 kN/m3.
A long slope is formed in a soil with shear strength parameters: c’ = 0 and ϕ’ = 34⁰. A firm stratum lies below the slope and it is assumed that the water table may occasionally rise to the surface, with seepage taking place parallel to the slope. Use ϒsat = 18 kN/m3 and ϒw = 10 kN/m3. The maximum slope angle (in degrees) to ensure a factor of safety of 1.5, assuming a potential failure surface parallel to the slope, would be most nearly equal to?
Explain about the Noncircular slippage plane for slope stability analysis, Janbu method.