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 9, Problem 9.5P
a)
To determine
Find the variation of total stress
b)
To determine
Find the rise of water table to increase the effective stress at point C is equal to
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7. Figure 2 shows the Total Stress and Effective Stress Diagram of a soil profile
Effective Stress (kN/m²)
Total Stress (kN/m²)
100
100
Depth (m)
1
2
7
8
9
10
50
42
56
86
150
200
Depth (m)
1
2
3
4
7
8
9
10
50
42
56
66
94
150
200
154
Figure 2. Total stress and effective stress diagram
a. Based on the diagram, what is the elevation of the groundwater table?
b. If the unit weight of water is 10 kN/m^3, what is the unit weight of the saturated layer
between 4 and 6 m deep?
c. What are the impacts of rising and falling groundwater levels? Explain your answer and
give some examples.
A soil profile is shown in figure below.
Calculate the following:a. Effective stress at point A in kPa.b. Effective stress at point B in kPa.c. Effective stress at point C in kPa.
7. A soil profile consisting of three layers is shown in the figure. Calculate the values of the total
stress, effective stress ad pore water pressure at points A, B, C, and D for the following cases. In
each case, plot the variations with depth. Characteristics of layers 1, 2, and 3 for each case are
given below:
Page 3 of 4
Layer 1
Groundwater table
Layer 2
Layer 3
Dry sand
Sand
Clay
Rock
Layer no.
Thickness
Soil parameters
1
Y = 110 lb/ft³
121 Ib/ft
H = 7 ft
2
%3D
Yat =
3
H, = 6 ft
Yeat = 118 lb/ft³
e = 0.7; G, = 2.69
e = 0.55; G, = 2.7
w = 38%;e = 1.2
%3D
1
H = 5 m
II, = 8 m
%3D
3
H, = 3 m
1
H, = 3 m
Y = 16 kN/m
18 kN/m
2
H¸ = 6 m
Yat
3
H, = 2.5 m
17 kN/m
%3D
Ysat
%3D
2.
Chapter 9 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
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Similar questions
- Question-2: A soil profile is shown in Figure 2.1. Calculate and plot the variation of total vertical stress, pore pressure and effective vertical stress with depth.arrow_forwardConsider point P. If the groundwater drops 1m to the top of the clay layer, what would the change in Total Stress and Pore Water Pressure change? 1 m 1m 2m 2m P Sand Clay Sand Pd = 1.35 Mg/m³ Psat 1.85 Mg/m³ H Psat = 2.0 Mg/m³ Psat = 1.9 Mg/m³arrow_forward2. Figure 2 shows the Total and Effective Stress Diagram of a soil profile Total Stress (KN/m) Effective Stress (kN/m) 150 200 100 150 200 42 42 56 56 86 66 10 154 94 Gambar 2Tegangan Total dan Diogram Tegangan Efektif a. Based on the diagram, what is the groundwater level? b. If the unit weight of water is 10 kN/m 3 , what is the unit weight of the saturated layer between 4 and 6 m deep? (u) yudagarrow_forward
- Refer to Figure 8.13. The magnitude of the line load q is 45 kN/m. Calculate and plot the variation of the vertical stress increase, between the limits of x = 10 m and x = +10 m, given z = 4 m. FIG. 8.13 Line load over the surface of a semiinfinite soil massarrow_forwardIn the deposit shown in the accompanying figure the groundwater level was originally at the ground surface. The water table was lowered by drainage to a depth of 25 ft., whereupon the degree of saturation of the sand above the lowered water table decreased to 20 percent. 1. What is the effective vertical stress at the mid height of the clay layer before lowering the water table? a. 4350 psf b. 4560 psf c. 3500 psf d. 6400 psf 2. What is the effective vertical stress at the mid height of the clay layer after lowering the water table? a. 4343 psf b. 4557 psf c. 5530 psf d. 6452 psf 3. What is the effective vertical stress at the mid height of the clay layer after lowering the water table to a depth of 50 ft? a. 5580 psf b. 6710 psf c. 3680 psf d. 5860 psfarrow_forwardRefer to the soil profile shown in Figure 6.25. Given H1 = 4 meter and H2 = 3 meter. If the ground water table rises to 2 meter below the ground surface,what will be the net change in effective stress at the bottom of the claylayer?arrow_forward
- 1. A soil profile is shown in Figure below. Calculate the total stress, pore water pressure, and effective stress at points A and D. Dry sand G.-2.68 *»0.6 2 m 2m Groundwater table Clay G₁-2.72 e-09arrow_forwardQ3: Refer to the soil profile shown in the figure below: a) Calculate the variation in vertical stress, pore water pressure, and effective stress at points (A, D, B, and C) b) What is the change in the effective stress at the bottom of the clay layer if the water rises (1m) above the water table in the figure? c) How many meters must the water table rise (from the profile below) to decrease the effective stress by 10% at the bottom of the clay layer? A 2m Sand D. = 17.4 kN/m² Ydry W.T Yat 20.9 kN/m³ B Clay Ysat 17.8 kN/m³ (25 Mark) 3m 4marrow_forward1- A soil profile consisting of three layers is shown in Figure below. 1. Calculate the values of o, u, and o' at points A, B, C, and D. In each case, plot the variations of o, u, and o' with depth. 2. What is the change in effective stress at point C if: the water table drops by 2 ft? а. b. the water table rises to the surface up to point A? Layer Thickness Soil Parameter no. 1 H1= 3 ft YF110 lb/ft³ 2 H2= 5 ft Ysar-120 lb/ft³ H3= 2.5 ft Ysar-118 lb/ft³ H1 Layer 1 В Groundwater table H, Layer 2 Ha Layer 3 O Dry sand Sand Clay Rock 3.arrow_forward
- Question 33 Dry Sand H, Groundwater Table Clay H, Refer to the soil profile shown. Given H1 = 9.89 m., and H2 = 5.8 m. If the ground water table rises by 3.78 meters, determine the change in effective stress (numerical value only, in kPa) at the bottom of the clay layer. Properties of dry sand: Gs = 2.53, e = 0.63. Properties of clay: Gs = 2.75, e = 0.81. Round off to two decimal places.arrow_forwardA soil profile consisting of three layers is shown in the figure below. if H1=3m, H2=8m, and H3=4m. Calculate the total stress, pore water pressure and effective stress at points A, B, C, and D Plot the variations of o, u, and o' with depth. A H1 e = 0.7, Gg = 2.69 Layer 1 B Groundwater table H2 e = 0.55, G; = 2.7 Layer 2 H3 e= 1:2; w = 38% Layer 3arrow_forwardEvaluate the figure shown and solve what is being asked in the problem with the following given: e = 0.42 G = 2.8 H1 = 0.3 m H2 = 3.3 m h1 = 0.9 m z = 1.2 m a. What is the saturated unit weight of sand in kN/m³? b. Calculate the total stress at point C in kPa. c. Calculate the effective stress at point B in kPa.arrow_forward
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