Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Question
Chapter 15, Problem 15.4P
To determine
Find the factor of safety
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6. Plot the variation of Ovo, Dovo and u with depth for the soil profile overleaf.
4 m
Sand
Ym = 17.5 kN/m³
2 m
Ym = 17.0 kN/m3
Sandy gravel
3 m
Ysat = 19.5 kN/m3
3 m
Clay
Ysat = 19.0 kN/m³
%3D
e 120 m GL.
118 m GWL
(2) A ground soil profile is shown in the right 7
Y =19 KN/m³
Y-21 KN/m³
figure. Soil layer information and their unit weights
clay
v 116 m
are presented in the figure. The groundwater level
Y-20 KN/m³
sand
is 2 m below the ground surface. Find the vertical
111 m.
effective overburden
aressure and plot its
clay
Y=21 KN/m³
distribution curve.
107 m.
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
Chapter 15 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
Ch. 15 - Prob. 15.1PCh. 15 - Prob. 15.2PCh. 15 - Prob. 15.3PCh. 15 - Prob. 15.4PCh. 15 - Prob. 15.5PCh. 15 - Prob. 15.6PCh. 15 - Prob. 15.7PCh. 15 - Prob. 15.8PCh. 15 - Prob. 15.9PCh. 15 - Prob. 15.10P
Ch. 15 - Prob. 15.11PCh. 15 - Prob. 15.12PCh. 15 - Prob. 15.13PCh. 15 - Prob. 15.14PCh. 15 - Prob. 15.15PCh. 15 - Prob. 15.16PCh. 15 - Prob. 15.17PCh. 15 - Prob. 15.18PCh. 15 - Prob. 15.19PCh. 15 - Prob. 15.20PCh. 15 - Prob. 15.21PCh. 15 - Prob. 15.22PCh. 15 - Prob. 15.23PCh. 15 - Prob. 15.27PCh. 15 - Prob. 15.28PCh. 15 - Prob. 15.29PCh. 15 - Prob. 15.30PCh. 15 - Prob. 15.31PCh. 15 - Prob. 15.32P
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- = A soil profile at a site consists of a 5 m of gravelly sand (ysat = 18.5 kN/m³; ym 17.0 kN/m³) layer underlain by 4 m of sandy gravel (Ysat = 18.0 kN/m³). The water table is 4 m below the ground level. Plot the variation of ov, o'v, and u with depth. Neglect the capillary effects.arrow_forwardA soil excavation was done until 4m below the surface of the soil. It was identified that the shallow ground water level is 2m below the ground level and the upper is dry. The properties of the soil are: Gs = 2.7, e = 0.50, and ϕ’ = 30degrees. Assuming no seepage. What is the value of the in-situ soil’s unit weight above G.W.T. in kN/m3? What is the maximum neutral stress at the deepest point of excavation in kPa? What is the value of the total stress of soil at the surface of the ground water table in kPa? What is the value of the effective stress at the deepest point of excavation in kPa?arrow_forwardAn 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 seepagearrow_forward
- Sand is placed on a rock slope, as shown in Figure Q2. (a) Show that sand will be stable (i.e., no sliding sliding) ifarrow_forwardA soil sample (sand) obtained from trench has water content of 38%. The specific graavity of solid is 2.65. Determine the critical hydraulic gradient for the soil. a.1.007 b.0.274 c.0.822 d.0.107arrow_forwardAn infinite slope of clay soil has a slope of 29 degrees. The soil has a specific gravity of 2.7 and a void ratio of 0.47. The soil has a depth of 5m over ledge rock measured vertically. Effective friction angle and soil cohesion are 14 degrees and 25kPa respectively. Assuming the ground water table is in the ground surface, determine the limiting depth of this soil, measured vertically over ledge rock. A 1.25m B 5.95m 3.67m D 6.88marrow_forwardA soil having the average properties, bulk unit weight = 19 kN/m³; angle of internal friction = 25° and cohesion = 15 kPa, is being formed on a rock slope existing at an inclination of 35° with the horizontal. The critical height (in m) of the soil formation up to which it would be stable without any failure is (round off to one decimal place). [Assume the soil is being formed parallel to the rock bedding plane and there is no ground water effect.]arrow_forwardA 9m cut slope is shown in the figure. The unit weight of soil is 17kN/m3. Friction angle and cohesion along the rock surface are 20 degrees and 24kPa respectively. The slope makes an angle of 300 from horizontal and the failure plane is at 150. Determine the developed frictional force on the failure plane.arrow_forwardA soil profile is shown in Figure ?-?. Compute the shear strength on the horizontal and vertical planes at points ? and ?.arrow_forward027 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 17arrow_forwardThe figure below shows a proposed site where an excavation will be made. The 12 ft layer of sand will be removed, so that the top of the 30 ft normally consolidated clay layer will be exposed (Assume that changes in GWT do not affect γt of clay). a. Assume that the water-table location remains the same during excavation. Compute the σ, σ′v, and u values at the middle of the clay layer before and after the excavation b. Assuming 1-D conditions, compute how much the clay layer will deform due to this excavation, in inches. Specify whether this is settlement or heavearrow_forwardWhat is the shearing strength of soil in kPa along a horizontal plane at a depth of 4 m in a deposit of sand having the following properties: Angle of internal friction, ∅ = 35°; Dry unit weight, yd = 17 kN/m3 ; Specific gravity, Gs = 2.7; Assume the ground water table is at a depth of 2.5 m from the ground surface a.11 b.95 c.23 d.41arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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