Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 9, Problem 9.4P
(a)
To determine
Calculate the primary consolidation settlement if the clay is normally consolidated.
(b)
To determine
Calculate the primary consolidation settlement if the pre-consolidation pressure is
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The soil stress state is shown in the figure, σx = 10 kN/m2, σy = 50 kN/m2, τxy = -10 kN/m2:(1) Please use Mohr circle to draw the soil stress state(2) Calculate the maximum principal stress σ1 and the minimum principal stress σ3(3) Please find the (pole) position(4) What is the angle of intersection between the maximum principal stress surface and the horizontal plane?
A saturated clay layer has a thickness of 10 meters with a water content of 51% and a specific gravity 2.72. Determine the following:
1. Saturated unit weight of the clay *
a. 21.46 kN/m³
b. 18.12 kN/m³
c. 16.87 kN/m³
d. 14.95 kN/m³
2. total stress at depth of 10 meters
a. 122.1 kPa
b. 151.3 kPa
c. 168.7 kPa
d. 142.5 kPa
3. Effective stress at depth of 10 meters
a. 42.1 kPa
b. 70.6 kPa
c. 68.7 kPa
d. 82.5 kPa
The soil in a deposit underlying an area where a level ground surface exists has a unit weight of 22 kN/m3. Determine the principal stresses o1 and oz at a depth of 5 m below the soil surface if the lateral pressure is 0.50 of the vertical pressure. Adjust your answer to ZERO decimal places. 01 = kN/m2, 03 = kN/m2
Chapter 9 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- 2) A soil profile consisting of three layers is shown in the Figure. A) Calculate the values of σ, u and σ' at points A,B,C and D if Layer 1: H1=5m, e=0.7, Gs=2.69 Layer 2: H2=8m, e=0.55, Gs=2.7 Layer 3: H3=3m, w=38%, e=1.2 B) What is the change in effective stress at point C if: If the water table drops by 2m? If the water table rises to the surface up to point A? Water level rises 3 m above point A due to flooding?arrow_forwardFrom the figure shown, the soil layer beneath the 203m dam has Kx = 0.3m/day and Kz = 0.4m/day. Determine the following: • Uplift force per unit length (kN/m) • Seepage through the foundation (m^3 /day)arrow_forwardA rectangular footing (4.55 x 4.8 m.) is placed 1.42 m. below the ground surface. The soil arrangement is composed of sand (ground) for the first 5.55 meters and followed by clay for the next 5.98 meters. The force acting on the footing is 10,647 kN. Determine the settlement of the consolidating layer in mm. Assume a 2V:1H pressure diagram. Unit weight of sand = 16.7 kN/m3. Clay has the following properties: unit weight = 18.9 kN/m^3, void ratio=30, liquid limit = 43arrow_forward
- A soil profi le consists of a clay layer underlain by a sandlayer, as shown in Figure P7.17. If a tube is inserted intothe bottom sand layer and the water level rises to 1 mabove the ground surface, determine the vertical effective stresses and porewater pressures at A, B, and C. IfKo is 0.5, determine the lateral effective and lateral totalstresses at A, B, and C. What is the value of the porewater pressure at A to cause the vertical effective stressthere to be zero?arrow_forwardA granular soil is subjected to a minor principal stress of 200 kN/m2. If the angle of internal friction is 30°, determine the inclination of the plane of failure with respect to the direction of the major principal stress. Show free body diagram. a.30 b.45 c.60 d.37.5arrow_forwardA soil profile consists of; layer 1, 10m sand layer and layer 2, 3m clay layer. The ground water table is located 4m below ground surface. For sand, γdry=2.00 T/m2 (tons/m2), γsat=2.25 T/m2, and for clay layer, LL=46%, water content=42% and Gs=2.76. A uniform vertical stress, ΔP=20T/m2 is applied at the ground surface. Determine, a) Effective unit weight of clay, b) overburden pressure at the mid point of the clay layer, c) primary consolidation settlementarrow_forward
- A rectangular footing (4.14 x 4.43 m) is placed 1.38 m below the ground surface. The soil arrangement is composed of sand (ground) for the first 6.29 m and followed by clay for the next 5.94 m. The force acting on the footing is 10581 kN. Determine the resulting stress increase at the midheight of the consolidating layer in kPa. Assume 2V:1H pressure diagram. Unit weight of sand = 16.8 kn/m3. Unit weight of clay = 18.4 kn/m3arrow_forward6. From the given soil profile, the groundwater table is located 2m below the ground level. (See picture below) Compute the horizontal effective stress at point A. (Answer: 53.36 kPa) Compute the lateral effective stress at point A if the lateral earth pressure coefficient at rest is K0=0.50. (Answer: 26.68 kPa) Compute the lateral total stress at point A. (Answer: 56.11 m)arrow_forwardFor a given consolidated clay: Gs= 2.71; LL= 45; In situ average effective overburden pressure = 120 kPa; In situ void ratio= 0.80 ; Thickness of clay layer = 4m ; average increase of effective stress on clay layer= 40 kPa; Effective pressure at the mid-height of clay layer= 60 kPa; Swell Index (Cs)= 1/5 Cc. Compute the compression index. a.0.534 b.0.513 c.0.315 d.0.145 With Free Body Diagramarrow_forward
- A rectangular footing (4.5 x 4.36 m.) is placed 1.98 m. below the ground surface. The soil arrangement is composed of sand (ground) for the first 6.94 meters and followed by clay for the next 6.78 meters. The force acting on the footing is 10,700 kN. Determine the settlement of the consolidating layer in mm. Assume a 2V:1H pressure diagram. Unit weight of sand = 16.9 kN/m3. Clay has the following properties: Unit weight = 18.3 kN/m3, Void ratio = 95, Liquid limit = 49. Round off to two decimal places.arrow_forwardGiven the soil profile below, determine the Total Stress, Neutral Stress and Effective Stress at points A, B, C, and D . Plot as well the soil pressure diagram. H1= 1.9m; H2=0.95m; H3=1.9marrow_forwardThe soil stress state is shown in the figure, σx = 10 kN/m2, σy = 50 kN/m2, τxy = -10 kN/m2 What is the angle of intersection between the maximum principal stress surface and the horizontal plane?arrow_forward
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