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MindTap Engineering for Das/Sobhan's Principles of Geotechnical Engineering, SI Edition, 9th Edition, [Instant Access], 1 term (6 months)
9th Edition
ISBN: 9781305971226
Author: Braja M. Das; Khaled Sobhan
Publisher: Cengage Learning US
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Chapter 9, Problem 9.3P
To determine
Find the total stress
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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 σ, u, and σ′ at points A, B, C, and D for the following cases. Ineach case, plot the variations of σ, u, and σ′ with depth. Characteristics of layers 1, 2,and 3 for each case are given below:
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?
A
2 m
Ya = 17 kN/m3
Layer 1
Groundwater table
Practice Problem 2: A soil profile consisting
of three layers is shown in Figure 1.6.
Calculate the values of o, u, and o' at
points A, B, C, and D. In each case, plot 1.5 m
the variations of o, u, and ' with depth.
4 m
Ysat = 18 kN/m3
Layer 2
Ysat= 20 kN/m2
Layer 3
O Dry sand
Sand
Clay
Rock
Figure 1.6
Chapter 9 Solutions
MindTap Engineering for Das/Sobhan's Principles of Geotechnical Engineering, SI Edition, 9th Edition, [Instant Access], 1 term (6 months)
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- 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:arrow_forwardQ2. A soil profile consisting of three layers is shown in Figure 1 below. Unit weight of water (yw) = 9.81 kN/m³ Layer no. 1 2 3 ↑ H₁ H₂ Dry sand Sand Clay Rock Figure 1: Soil Profile Thickness H₁ = 1.5 m H₂ = 2.53 m H3 = 2.64 m Layer 1 Groundwater table Layer 2 Layer 3 Soil parameters Yd = 16.5 kN/m³, Ysat = 17.42 kN/m³ Ya = 16.5 kN/m³, Ysat = 18.55 kN/m³ Yd = 17.50 kN/m³, Ysat = 19.23 kN/m³ a) Calculate the values of o, u and o' at points A, B, C and D. b) Calculate the effective stress at C when water table drops by 2 m. c) Calculate the effective stress at C when water table rises by 1 m above layer 1 due to flooding.arrow_forwardA soil profile is shown in Figure P3.2 along with the standard penetration numbers in the clay layer. Use Eqs. (3.8) and (3.9) to determine the variation of cu and OCR with depth. What is the average value of cu and OCR?arrow_forward
- 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.arrow_forward- Please Help!!arrow_forwardA soil profile is shown in Figure Q. Given: Layer I – H, = 3 m, Ya = 15 kN/m³; Layer II – H, = 4 m, Ysat = 16 kN/m³; Layer III – H3 = 5 m, Ysat = 18 kN/m³. Plot the variation of a, u and o' with depth. %3D A Layer I Groundwater table H2 Layer II H3 Layer III Figure Q : Dry sand Sand Clay Rockarrow_forward
- Q.11 Consider the three layered soil strata shown in the figure below. The thickness and coefficient of vertical permeability of each layer is mentioned in the figure. Flow Ah = 0.50 m -3 H, = 3 m K, = 3 x 10° cm/s %3D -2 H2 = 2 m K, = 6.5 x 10 cm/s H = 9 m H3 = 4 m. L = 2 m -4 Kg = 7 x 10 cm/s The total head loss in three layers isarrow_forward: 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 ayer no. Thickness Soll parameters H, = 2.1 m H2 = 3.66 m H; = 1.83 m Ya = 17.23 kN/m³ Yat = 18.96 kN/m³ Y = 18.5 kN/m 1 %3D 3 %3D Layer 1 B. Groundwater table H2 Layer 2 Layer 3 Dry sand Sand Clay Rock b) Calculate the effective stress at c when water table drops by 2m (consider Ya= 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). O Cengage Learning 2014arrow_forwardA soil profile is shown in Figure P3.3 along with the stan- dard penetration numbers in the clay layer. Use Eqs. (3.8b) and (3.9) to determine the variation of c, and OCR with depth. What is the average value of c, and OCR? Dry sand y = 16.5 kN/m² 1.5 m Groundwater table Sand 1.5 m Ysat = 19 kN/m³ N60 1.5 m • 8 Clay Ysat = 16.8 kN/m³ 1.5 m A • 8 1.5 m 9 1.5 m 10 Sandarrow_forward
- A 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_forwardA soil profile consisting of three layers is shown. Plot the variation of effective stress with depth. The layer properties are tabulated below. Final calculated answer should be in 3 decimal places.arrow_forwardConsider the soil detail and profile are shown in the Table 1.1 and Figure 1.2. Table 1.1 Layer No. Thickness, H Soil Parameters e = 0.52, Gs = 2.62 e = 0.52, Gs = 2.65 w = 20%, e = 0.50 1 4.8 m 2 2.5 m 3 2.2 m Layer 1 H2 Layer 2 C. Layer 3 Figure 1.2 O Dry sand Sand D Clay Rock If groundwater table is x = 0.25 m above point B (use yw = 9.81 kN/m3), determine: a. The effective stress at point D. b. If the effective stress at point D is lowered by 10 kPa, what is the new elevation (new x) of groundwater table measured from point B?arrow_forward
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