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 8.9P
To determine
Find the net change in effective stress at the bottom of the clay layer.
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Question 20
A soil profile consists of sand (5-m thick) which overlies a layer of clay (9-m thick). Ground water table is located at the interface of the sand and clay. The effective stress at the bottom of the clay layer was determined. If the water table rises to the top of the ground surface, what is the change in the effective stress (in kPa) at the bottom of the clay layer?
For sand layer: Void Ratio = 0.82, Specific gravity = 2.68, Degree of Saturation = 0.6
For clay layer: Void Ratio = 0.92, Specific gravity = 2.86
Round off to two decimal places.
Refer 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?
Q3: 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
Sand
2m
= 17.4 kN/m³
D
W.T
3m
4m
Ydry
Yat20.9 kN/m³
B
Clay
Ysat 17,8 kN/m²
C
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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- Q3: 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_forwardA soil profile consists of sand (6-m thick) which overlies a layer of clay (5-m thick). The groundwater table is located at the interface of the sand and clay. The effective stress at the bottom of the clay layer was determined. If the water table rises to the top of the ground surface, what is the change in the effective stress (in kPa) at the bottom of the clay layer? For sand layer: Void Ratio = 0.72, Specific gravity = 2.61, Degree of Saturation = 0.6 For clay layer: Void Ratio = 0.99, Specific gravity = 2.72 Round off to two decimal places.arrow_forwardA 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.arrow_forward
- 1- 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_forwardA soil profile consists of sand (7-m thick) which overlies a layer of clay (9-m thick). Ground water table is located at the interface of the sand and clay. The effective stress at the bottom of the clay layer was determined. If the water table rises to the top of the ground surface, what is the change in the effective stress (in kPa) at the bottom of the clay layer? For sand layer: Void Ratio = 0.75, Specific gravity = 2.62, Degree of Saturation = 0.77 For clay layer: Void Ratio = 0.87, Specific gravity = 2.85 Round off to two decimal places.arrow_forwardThe soil profile shown consists of dry sand (4-m thick) which overlies a layer of clay (3-m thick). Ground water table is located at the interface of the sand and clay. a. If the water table rises to the top of the ground surface, what is the change in the effective stress (in kPa) at the bottom of the clay layer? Round off to two decimal places. (ANSWER: 26.336) b. Compute the effective stress at the bottom of the clay layer in kPa. Round off to three decimal places (ANSWER: 97.686) c. How many meters must the ground water table rise to decrease the effective stress by 14 kPa, at the bottom of the clay layer? Round off to two decimal places (ANSWER: 2.13)arrow_forward
- Refer to the soil profile shown in figure below: a. Calculate the variation of o,u ,and o' with depth. b. If the water table is rises to the top of the ground surface, what is the change in the effective stress at the bottom of the clay layer? c. How many meters must the ground water table rise to decrease the effective stress by 15 KN/m² at the bottom of the clay layer? Sand e = 0.52 G= 2.66 5m B + Clay 4m G.W.T e=1 G = 2.75arrow_forwardA soil profile consists of sand (5-m thick) which overlies a layer of clay (4-m thick). Ground water table is located at the interface of the sand and clay. The effective stress at the bottom of the clay layer was determined. If the water table rises to the top of the ground surface, what is the change in the effective stress (in kPa) at the bottom of the clay layer? For sand layer: Void Ratio = 0.82, Specific gravity = 2.75, Degree of Saturation = 0.76 For clay layer: Void Ratio = 1.09, Specific gravity = 2.76arrow_forwardThe soil profile shown consists of dry sand (7-m thick) which overlies a layer of clay (6-m thick). Ground water table is located at the interface of the sand and clay. The effective stress at the bottom of the clay layer was determined. If the water taable rises to the top of the ground surface, what is the change in effective stress (kpa) at the bottom of the clay layer? For sand layer: Void Ratio= 0.89 SG= 2.67 Degree of Saturation= 0.62 For claylayer: Void Ratio= 0.92 SG=2.72arrow_forward
- 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.arrow_forward8. The following figure consists of a line load and point load acting on the surface of a soil mass X1=4.5 m X2=3.5 m r2 Y2=2.5 m Line load 50 kN/m Z= 6m Point load 100 kN A Calculate the increase in the vertical stress at the soil element A.arrow_forwardA soil profile consisting of three layers is shown in Table and Figure below i. Calculate the values of σ, u and σʹ at points A, B, C, and D. ii. Calculate the effective stress at c when water table drops by 1 m (consider γb= 15.5 for layer 2). iii. Calculate the effective stress at c when water table rises by 1 m above layer 1 due to flooding. (consider γsat= 16.5 for layer 1). Layer no. Thickness Soil parameters 1 H1 = 3.5 m γd = 15.5 kN/m3 2 H2 = 2.5 m γsat = 18 kN/m3 3 H3 = 3 m γsat = 18.5 kN/m3arrow_forward
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