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 9, Problem 9.12P
(a)
To determine
Calculate the time taken to reach
(b)
To determine
Calculate the settlement at
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be the hydraulic conductivity at 20°C? Ans. 1.0 x 10 cm/sec
4. For a normally consolidated clay, the following values are given.
k(cm/sec)
0.45 x 10
e
0.78
1.1
0.88 x 10
Estimate k at a void ratio of 0.97
6.0089
107
Under normal loading condition, a 3.6-m thick clay (normally consolidated) has po = 190 kPa and eo = 1.22. A surcharge of 190 kPa reduces its void ratio to 0.91. The hydraulic conductivity of the clay for the loading range is 6.1 x 10-5 m/day.
a. What is the coefficient of volume compressibility of the clay?
b. What is the coefficient of consolidation of the clay?
c. How long will it take for this clay layer to reach 60% consolidation if it is drained on one side only?
Please answer this asap. For upvote. Thank you very much
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?
Chapter 9 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- be the hydraulic conductivity at 20 Docs A20 pe 4. For a normally consolidated clay, the following values are given. k (cm/sec) 0.45 x 106 0.78 1.1 0.88 x 106 Estimate k at a void ratio of 0.97arrow_forwardGiven: H₁ = 1.10 m, H₂ = 2.20 m, h = 1.30 m, void ratio of sand e = 0.62, specific gravity of soil solids Gs = 2.72, area of the tank = 0.5 m², and hydraulic conductivity of sand = 0.1 cm/sec. a. What is the effective stress at C if z = 1.23 m? b. What should be the value of h to cause boiling? Outflow Inflow H₂ Valve (open)arrow_forwardFor a normally consolidated laboratory clay specimen drained on both sides, the following are given: σ0’ = 4000 ib/ft² e=1.2 σ0’ + Δσ’= 5000 lb/ft² e=0.9 Thickness of clay specimen= 2in Time for 50% consolidation= 2 min. Determine the hydraulic conductivity (ft/min) of the clay for the loading range. How long (in days) will it take for a 6-ft clay layer in the field(drained on both side) To reach 60% consolidation?arrow_forward
- 1. Under normal loading condition, a 3.6 m thick clay (normally consolidated) has P, = 190 KPa and e, =1.22. A surcharge of 190 KPa reduces its void ratio to 0.98. The hydraulic conductivity of the clay for the loading range is 6.1 x 10ʻ m/day. a. What is the coefficient of volume compressibility of the clay? b. What is the coefficient of consolidation of the clay? c. How long will it take for this clay layer to reach 60% consolidation if it is drained on one side only?arrow_forwardFrom the figure shown, H₁ = 0.60, H₂ = 0.90 m. and h = 0.45 m. The sand has a saturated unit weight of 18.65 KN/m³. Hydraulic conductivity of sand K= 0.12 cm/sec. If the cross sectional area of tank = 0.46 m², determine the total stress at point C in KPa. h=0.45m T H₁-0.60 m H₂-0.90 m Direction of flow H₂O Sand 1265 valve openarrow_forwardAnswer in three decimal places pleasearrow_forward
- 11.15 For a normally consolidated σ = 2 ton/ft² • σ + A' = 4 ton/ft²2 • e = 0.96 The hydraulic conductivity k of the clay for the preceding loading range is 1.8 x 10 ft/day. • clay, the following are given: • e = e = 1.21 a. How long (in days) will it take for a 9 ft thick clay layer (drained on one side) in the field to reach 60% consolidation? b. What is the settlement at that time (that is, at 60% consolidation)?arrow_forwardb) For a normally consolidated laboratory clay specimen drained on both sides, the follow are given o'o =150 kN/m², e = eo = 1.1 •o'o+ Ao = 300 kN/m², e = 0.9 The thickness of clay specimen = 25mm Time for 50% consolidation = 2mm a) Determine the hydraulic conductivity of the clay for the loading range. %3D CR[5] b) How long (in days) will it take for a 1.8m clay layer in the field (drained on one side) to reach 60% consolidation.arrow_forwardFor a laboratory consolidation test on a clay specimen (drained both sides), the following were obtained. Thickness of the clay layer = 25mm o_1 = 200KN/m^2 o'2 = 400KN/m^2 e_1 = 0.73 e_2 = 0.61 Time for 50% consolidation (t_50 = 2.8min: From table U = 50%, Tv = 0.197 %3D Determine the hydraulic conductivity (in cm/sec) of the clay for the loading range.arrow_forward
- A stratified soil has the following properties: h1 = 1.75m h2 = 2.5m h3 = 4.35m k1 = 2.25E-03 cm/sec k2 = 3.15E-04 cm/sec k3 = 4.75E-05 cm/sec What is the ratio of equivalent hydraulic conductivity?arrow_forwardBraja Das Principles of Geotechnical Engineering Chapter 7arrow_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_forward
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