Principles of Foundation Engineering (MindTap Course List)
9th Edition
ISBN: 9781337705028
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 5, Problem 5.11P
(a)
To determine
Find the degree of consolidation for the clay layer due to the sand drains after six months of surcharge application.
(b)
To determine
Find the degree of consolidation for the clay layer due to the combination of vertical and radial drainage.
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2. Consider the stratified soil deposit shown in the figure. There are four layers, 3m thick each, and kH1=2x10³, kH2=1x105, kµ3=2x104,
kH4=1x10³in cm/sec. Determine the equivalent coefficient of permeability in the horizontal direction and the total flow in cm3/sec per cm
width.
H
Direction of flow
2. Estimate the hydraulic conductivity (in cm/sec) of a poorly graded sand with the following characteristics: d100 = 0.425mm,
d50= 0.3mm, d30 = 0.25mm, d10= 0.2mm, and do = 0.1mm. Show your work and circle your answer.
5. The coefficient of permeability of a sand at a void ratio of 0.62 is 0.03 cm/sec. Estimate the coefficient of permeability at a void ratio of 0.48.
Using Casagandre equation
Using Kozeny-Carman equation
Find the difference in the rate of flow using the results of “a” and “b” if i = 0.70 and A = 0.6 m2.
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- A sand has Gs = 2.66. Calculate the hydraulic gradient that will cause boiling for e = 0.35, 0.45, 0.55, 0.7, and 0.8.arrow_forwardProblem (5) A layered soil is shown in following figure. a) Estimate the hydraulic conductivity for flow in the vertical direction. b) Estimate the equivalent hydraulic conductivity for flow in horizontal direction. c) calculate the ratio of ky(eg) /kh(eq) 1 m k = 10-3 cm/sec 1 m k = 2 × 10-4 cm/sec 1 m k = 10 cm/sec 1 m k = 2 × 10¬³ cm/secarrow_forwardA double drain consolidation test was performed on a sample of marine clay. The thickness of the clay layer is 50mm and the hydraulic conductivity during the test was 1,753x10-8 m/min. During the test the following data were determined. σ '1= 300 ??/?2 e= 0.42 σ '2= 500 ??/?2 , e=0.30 Determine: The time to reach 75% consolidation The excess water pressure value after 50 min of starting the test at 10 mm deptharrow_forward
- 2.11 A sand has the following: D10 = 0.2 mm, Dø = 0.4 mm, and void ratio e = 0.6. a. Determine the hydraulic conductivity using Eq. (2.38). b. Determine the hydraulic conductivity using Eq. (2.40).arrow_forwardSubject: Soil Mechanics Please provide a solution and a diagram For a laboratory consolidation test on a clay specimen (drained on both sides) the following results were obtained: Thickness of clay soil= 25 mm; P_1 = 50 kPa; P_2 = 120 kPa; e_1 = 0.92; e_2 = 0.78; Time for 50% consolidation= 2.5 min. Tv = 0.197. Determine the hydraulic conductivity of the clay for the loading range in m/min. a. 1.081 x 10^-3 b. 2.56 x 10^-2 c. 1.31 x 10^-7 d. 1.23 x10 ^-5arrow_forwardFor the flow net shown below, the soil is isotropic having a permeability of 0.002 cm/sec, an average void ratio of 0.6 and G,= 2.65. Determine the following: - a. The flow rate in m'/day/m length. b. The pore-water pressure at point A. 3.0 m 1.5 m 4.5 m 3.0 m 6.0 m impermeable stratumarrow_forward
- Given the following: H1 = 1.5 m H2 = 3.0 m H3 = 2.0 m K1 = 0.001 cm/sec K2 = 0.032 cm/sec K3 = 0.000041 cm/sec 1. Find the effective average permeability of the deposit in the horizontal direction. (in cm/s) 2. Find the effective average permeability of the deposit in the vertical direction. (in cm/s) 3. What is the ratio of the equivalent hydraulic conductivity?arrow_forwardC 5. For the soil profile given below, assume that the primary consolidation settlement for the clay layer is completed in 3 years. Estimate the secondary consolidation settlement for the clay layer at the end of 10 years. Yw= 10kN/m³, Ca = 0.03 t 1m 1.5m 2m Groundwater table 0.5m 90 = 100kPa BXL = 2m x 4m Sand y = 17.0 kN/m³ Sand Ysat = 19.0 kN/m³ = Normally consolidated Clay Ysat = 20 kN/m³ eo = 0.7 Cs= 0.09 Cc = 0.2arrow_forwardi. A sandstone core sample is saturated 100% with water. Calculate the absolute permeability of the core sample if the water is flowing at 6.21 cubic centimetres per second. The length of the core sample is 14 centimetres and its diameters is 6 centimetres. The pressure differential across the core sample is 15 atmospheric pressure and the water viscosity is 1.2 centipoises. Explain a method of how the permeability of low permeability reservoirs can be ii. improved.arrow_forward
- From the figure shown, the void ratio of the sand is 0.55 with a specific gravity of 2.68. The cross-sectional area of the tank is 0.5 sq.m and hydraulic conductivity of sand = 0.1 cm/s. a. What is the rate of upward seepage in cu.m/hour? b.Determine the critical hydraulic gradient for zero effective stress. c. Determine the value of h (head loss) to cause boiling. NEED ASAP. THANK YOU.arrow_forwardFor the soil profile given below, assume that the primary consolidation settlement for the clay layer is completed in 3 years. Estimate the secondary consolidation settlement for the clay layer at the end of 10 years. Yw= 10kN/m³, Ca= 0.03 1m 1.5m 2m BxL= 2m x 4m Groundwater table 0.5m 90 = 100kPa Sand y = 17.0 kN/m³ Sand Ysat 19.0 kN/m³ a retaining wall are shown in Normally consolidated Clay Ysat 20 kN/m³ eo = 0.7 Cs=0.09 Cc = 0.2arrow_forwardThe laboratory consolidation test is conducted on a clay sample. The following data results were obtained P1 =55 kPa P2 = 130 kPa e1= 0.95 e2= 0.80 Thickness of the sample of clay= 35mm Time for 50% consolidation = 3.0 min Tv= 0.197 a. Find the coefficient of volume compressibility b. Determine the coefficient of consolidation if a sample of clay was drained on both sides c. Compute the hydraulic conductivity of the clayarrow_forward
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