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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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?
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 0.97
Chapter 9 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- Given: 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_forward1. 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_forward
- From 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_forward11.15 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_forward
- For 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_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_forwardCVE 331: Theoretical hydraulic conductivity calculation Problem 1: The hydraulic conductivity of a sandy sol is 7x10 cm/sec at void ratio 0.68. What is the hydraulic conductivity at void ratio 0.85 ? (o.re) A= 2,42e k2 ei Problem 2: The hydraulic conductivity of a clay soil is 121o* cm/sec at void ratio 0.56, and 3.1x10 cm/sec at void ratio 0.74. What is the hydraulic conductivity the soll at void ratio 0.65 ? e3 ki %3D - 3. 797 GRAIN SIZE DISTRIBUTION GRAPH. A- PROJECEarrow_forward
- For a normally consolidated clay, the following are given:The hydraulic conductivity k of the clay for the preceding loading rangeis 1.8 104 ft/day.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_forwardFrom 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 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. Show free body diagram. a.1.31 x 10^-7 b.1.081 x 10^-3 c.2.56 x 10^-2 d.1.23 x10 ^-5arrow_forward
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