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 8, Problem 8.5P
To determine
Find the total stress
Plot the variation of stresses with depth.
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Pressure (kN/m²)27 54 107 214 429 214 107 54
Void ratio1.243 1.217 1.144 1.068 0.994 1.001 1.012 1.024
The table above shows results obtained from an oedometer test on a specimen of saturated clay. A layer of this clay 2.5 m thick lies below a 10 m depth of sand, the water table being at the surface. The saturated weight for both soils is 19 kN/m³. A 10-m depth of fill of unit weight of 21 kN/m³ is placed on the sand over an extensive area. If the fill was to be removed some time after the completion of consolidation, what heave (mm) would eventually take place due to swelling of the clay? (0 d.p). Use unit weight of water of 9.8 kN/m3. Use log base 10.
A soil has the following profile with depth:
0-15 ft = gammasat = 115 pcf and gammad = 110 pcf (where gamma is the unit weight)
15-45 ft = gammasat = 118 pcf
greater than 45 ft = gammasat = 117 pcf
The groundwater table is located 7.5 ft from the surface.
1.Compute the sigma, sigma prime, and u at the ground surface, water table, and at the soil layer interfaces.
2. During the spring, the water rises to 7.5 above the groundwater table. Determine the sigmav, sigma-primev, and u at depth 40 ft from the surface. (You do not need to compute values at other depths.)
9.1 Through 9.3 A soil profile consisting of three layers is shown in Figure 9.25.
Calculate the values of ơ, u, and o' at points A, B, C, and D for the following cases.
In each case, plot the variations of ơ, u, and o' with depth. Characteristics
of layers 1, 2, and 3 for each case are given below:
H
Layer I
Groundwater table
H2
Layer 2
Layer 3
| Dry sand
Sand a Clay
Rock
Figure 9.25
Layer no.
Thickness
Soll parameters
H; = 2.1 m
Hz = 3.66 m
- 1.83 m
Ye = 17.23 kN/m
18.96 kN/m
18.5 kN/m
9.1
Yut
3
H3
Yaut
Chapter 8 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
Ch. 8 - Prob. 8.1PCh. 8 - Prob. 8.2PCh. 8 - Prob. 8.3PCh. 8 - Prob. 8.4PCh. 8 - Prob. 8.5PCh. 8 - Prob. 8.6PCh. 8 - Prob. 8.7PCh. 8 - Prob. 8.8PCh. 8 - Prob. 8.9PCh. 8 - The soil profile at a site consists of 10 m of...
Ch. 8 - Prob. 8.11PCh. 8 - Prob. 8.12PCh. 8 - Prob. 8.13PCh. 8 - Prob. 8.14PCh. 8 - A sand has Gs = 2.66. Calculate the hydraulic...Ch. 8 - Prob. 8.16PCh. 8 - A point load of 1000 kN is applied at the ground...Ch. 8 - Point loads of magnitude 9, 18, and 27 kN act at...Ch. 8 - Refer to Figure 8.13. The magnitude of the line...Ch. 8 - Refer to Figure 8.24. Determine the vertical...Ch. 8 - Consider a circularly loaded flexible area on the...Ch. 8 - A flexible circular footing of radius R carries a...Ch. 8 - The plan of a flexible rectangular loaded area is...Ch. 8 - Refer to Figure 8.26. The circular flexible area...Ch. 8 - Refer to Figure 8.27. The flexible area is...Ch. 8 - Prob. 8.26CTPCh. 8 - Prob. 8.27CTP
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- 9.1 Through 9.3 A soil profile consisting of three layers is shown in Figure 9.25. Calculate the values of o, u, and o' at points A, B, C, and D for the following cases. In each case, plot the variations of o,u,and o' with depth. Characteristics of layers 1,2, and 3 for each case are given below: Layer 1 Groundwater table Layer 2 Layer 3 O Dry sand Clay Sand Rock Figure 9.25 Problem Layer no. Thickness Soil parameters 9.1 1 H - 7 ft - 110 Ib'fn 2 H = 12 ft Y- 121 Ib'ft H, = 6 ft Y = 118 Ib/f3 H =5m P= 0G, = 2 64 H, = 8 m e = 0.55: G, = 2.7 H, = 3 m w = 38%; e = 1.2 9.3 1 H - 3 m Y- 16 kNim 2 H. - 6 m Yu - 18 kN'm 3 H, - 2.5 m Yut - 17 kN/marrow_forward1 Situation 2 A soil sample in its natural state, when fully saturated, a water content 36.2%. Assume Gs = 2.69. 16. Calculate the void ratio. A. 0.974 C. 0.789 B. 0.563 D. 0.934 17. Calculate the total unit weight of the soil in kN/m³. A. 17.52 C. 20.38 B. 19.32 D. 18.21 18. Calculate the total weight of water required to saturate a soil mass of volume 10m³. A. 48.4 KN C. 45.3 kN D. 56.7 kN B. 50.7 KNarrow_forwardHomeworks 2. The following results were obtained from an oedometer test on a specimen of saturated clay: Pressure (kN/m?) 27 54 107 214 429 214 107 54 Void ratio 1.243 1.217 1.144 1.068 0.994 1.001 1.012 1.024 A layer of this clay 8m thick lies below a 4m depth of sand, the water table being at the surface. The saturated unit weight for both soils is 19kN/m3. A 4m depth of fill of unit weight 21 kN/m3 is placed on the sand over an extensive area. Determine the final settlement due to consolidation of the clay. -1 e -eo 1+e, o'y-o'vo my S = i=larrow_forward
- A soil profile is shown in Figure 6.24. Calculate the values of o, u, and o at points A, B, C, and D. Plot the variation of ơ, u, and ơ with depth. We are given the values in the table. Layer No. Thickness (m) Unit weight (kN/m³) H = 2 H2 = 3 = 7 I Ydry = 15 Ysat = 17.8 II %3D III %3D Ysat = 18.6arrow_forward• Soil specimen diameter, D = 18 cm Elevation of water in upper-most piezometer, h = 181cmk Elevation of water in lowest piezometer h2 =116.6cm Distance between the measuring pointsL = 33.4 cmarrow_forwarda. determine the coefficient of curvature b. determine the coefficient of uniformity 500 grams of dry soil was tested for grain size analysis and the following observations were recorded. Opening Size (mm) Mass Retained (g) 2 10 1.4 18 1 60 0.5 135 0.25 145 0.125 56 0.075 45 Pan 31arrow_forward
- The moist unit weights and degrees of saturation of a soil are given below degree of saturation moisture unit weight 50 16.64 75 17.73 1. determine the saturated unit weight in kn/m3 2. determine the unit weight of soil in in kn/m3 if s = 13%. round off to two decimal places 3. determine the unit weight of the soil in in kn/m3 if s = 69% round off to two decimal placesarrow_forwardFor a falling-head permeability test, the following values are given: Length of specimen = 200 mm %3D Area of soil specimen = 1000 mm^2 %3D Area of standpipe = 40 mm^2 Head difference at time t = 0 = 500 mm Head difference at timt t 180 seconds = 350 mm %D %3D Determine the hydraulic conductivity of the soil in x10 4 cm secarrow_forwardQ-C Refer to the soil profile shown in Fig. Q-c (page 2). Calculate and plot o, u and o' with depth.arrow_forward
- Exercise 1 A soil profile is shown in Figure Calculate the values of o, u, and o' at points A, B, C, and D. Plot the variation of o, u, and o' with depth. Dry sand roundwater table Thickness (ft) Unit weight (Ib/ft) Layer no. Laver IE H = 5 H2 = 6 H3 = 8 Ya = 112 Ysat = 120 Ysat = 125 Sand I II III TTE Figure 1arrow_forwardA fully saturated soil sample has a volume of 28 cc. The sample was dried in oven and the weight of the dry soil pat was found to be 48.76 g. Given G= 2.68. Determine void ratio in percent. a. 18.23 b. 53.6 c. 9.77 d. 20.0arrow_forwardQ-1: A soil profile consisting of three layers is shown in the following figure. a) Calculate the values of o, u and o' at points A, B, C, and D Layer no. 1 2 3 ↑ H₁ H₂ H₂ Thickness H, = 2.1 m H₂ = 3.66 m H₂ = 1.83 m Dry sand Soll parameters Y₁ = 17.23 kN/m³ Ysat 18.96 kN/m³ Ysat 18.5 kN/m³ Sand Clay Rock Layer 1 Groundwater table Layer 2 Layer 3 ⒸDengage Learning 2014 b) Calculate the effective stress at c when water table drops by 2m (consider x 16.5 for layer 2). c) Calculate the effective stress at c when water table rises by 2m above layer 1 due to flooding (consider Ysa 18.5 for layer 1).arrow_forward
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