a. VA granular soil has a saturated unit weight of 18.0 kN/m³ and an effective angle of shearingresistance of 30°. A slope is to be made of this material. If the factor of safety is to be 1.25,determine the safe angle of the slope: (i) when the slope is dry and (ii) if seepage occurs atand parallel to the surface of the slope.b. The factor of safety of a clay slope and the indicated slip circle shown in Figure Qu. 5 isconsidered inadequate. In order to increase the factor, the slope is to be altered by removingthe shaded part of the slope. Determine the percentage increase in the factor of safety after3 of 6this alteration. It is known that: Area of section before alteration = 38.7 m²; Centroid of theentire section is at G; soil density is 1885 kg/m³; cu = 20 kN/m².9m radius903.3mTo beremovedGm1.5m3m3.2m45o Ou5

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Answered: a. VÀ granular soil has a saturated…

Fundamentals of Geotechnical Engineering (MindTap Course List)

5th Edition

ISBN:9781305635180

Author:Braja M. Das, Nagaratnam Sivakugan

Publisher:Braja M. Das, Nagaratnam Sivakugan

Chapter13: Slope Stability

Section: Chapter Questions

Problem 13.5P

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A granular soil has Yeat = 18 kN/m³ and o' = 32°. An infinite slope is required to be made from %3D this material. If seepage occurs parallel to the surface of the slope and factor of safety of 1.5 is needed against slope failure then the value of safe angle of slope is degree.
A geotechnical engineer is evaluating the stability of the slope shown in Figure 1. This evaluation is considering the potential for a shear failure along the shear surface shown. The soil has φ’= 30o and no cohesive strength. a). Compute the effective shear strength at Point A along this surface when the groundwater table is at level B, then compute the new shear strength if the groundwater table rises to level C. The unit weight of the soil is 120 lb/ft3 above the groundwater table and 123 lb/ft3 below b). If the shear stress at point A is 2000 psf, what are the factors of safety against sliding at water level B and C? Hint: use effective stress and assume the failure surface at point A is horizontal.
A compacted fill slope is to be made of a soil with a c' = 200 lb/ft?, p'= 30° and y= 122 Ib/ft. Using an infinite slope analysis and assuming a failure surface 4.0 ft vertically below the ground surface and a groundwater table 1.3 ft below the ground surface, determine the steepest allowable slope ratio that will maintain a factor of safety at least 1.5. This analysis considers only surficial stability and a separate analysis would need to be conducted to evaluate the potential for a deep-seated slide in the fill. Hint: This may involve iteration using a spreadsheet or a similar approach.
027 ncomect Consider the soil system shown below. 1m Water Fine 4m sand k 2 x 10 mm Coarse silt 4m k = 4 x 10 mm/s Fine 4m silt k 2 x 10 mm/s Datum Beneath the fine silt layer there is stratum of water-bearing gravel with a water pressure of 155 kPa. The surface of the sand is flooded with water to a depth of 1m. The excess hydrostatic head at the fine sand/coarse silt interface is cm. Your Answer 32 15 17
An infinite slope of granular soil has a slope of 29 degrees. The soil has a dry unit weight of 18.02kN/m^3 and a saturated unit weight of 21.15kN/m^3. The soil has a depth of 5 meters over ledge rock measure vertically. Effective friction angle and soil cohesion are 14 degrees and 25 kPa, respectively. a) Compute the factor of safety considering no seepage. b) Compute the factor of safety considering full seepage
48. The objectives of shear test of soil is to determine : A) stability of earth slopes C) both of the above B) bearing capacity of soil D) none of the above 40
Question Foundation soil at the toe of dam has void ratio of 0.7. The specific gravity of soil grains is 2.6. To assure safety against piping, the upward gradient should not exceed 30% of gradient at which quick condition occurs. The maximum permissible upward gradient is
A soil profile consists of 3m of clean sand (γ=18kN/m³) over 10m of silt (γ=17kN/m³, kv=1 x 10-8m/s) over 12m of clay (γ=17kN/m³, kv=4 x 10-9m/s) over gravel. Piezometers installed at middepth of the sult later and at the top of the gravel layer measure, respectively, piezometric heads of 4m and 3m. Assuming one-dimensional flow in the vertical direction, compute the flow rate in m³/year/10,000m². Also, compute at 16m below the ground surface the total veritcal stress, effective stress, and porewater pressure.
(1b) Estimate the settlement of a 10 m square area loaded 1 m at 100 kN/ m3 placed 1 m below ground level with ground water at the level of the footing. The static cone resistance values for the sand deposit are as follows: G.L to 6 m = 8000kN/m3,6 -11 mm = 10,000kN/, below 11 m =12,000kN/m3.
A canal having side slopes 1:1 is proposed to be constructed in a cohesive soil to a depth of 10m below the ground surface. The soil properties are , = 15°, c, = 12 kPa, e = 1.0, G = 2.65. %3D %3D %3D %3D If Taylor's stability number S, is 0.08 and if the canal flows full, the factor of safety with respect to cohesion against failure of the canal bank slopes will be
A canal having side slopes 1:1 is proposed to be constructed in a cohesive soil to a depth of 10m below the ground surface. The soil properties are ϕu = 15⁰, Cu = 12 kPa, e = 1.00, Gs = 2.65. If Taylors stability number, Sn = 0.08 and if the canal flows full, the factor of safety with respect to cohesion failure against the failure of canal bank slopes will be most nearly equal to?
Please calculate the critical factor of safety for the following slope configuration using the following m ethods: Using slope stability charts Layer 1 Clay c=35 kN/sq.m Friction Angle=0 Unit Weight-18 kN/cu.m Layer 2 Silty Sand c=5 kN/sq.m Friction Angle=35 deg Unit Weight=18 kN/cu.m Slope Height=10 m Slope Angle=30 Degrees Layer 1

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