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
A dense silt has the following properties: Void ratio (e) = 0.40, SpecificGravity (Gs) = 2.70, Effective diameter d10 = 1x10^-6 m, Capillary constant (C) = 0.20 cm^2. Free ground water level is 8.0 m below the ground surface.
a. Find the height of capillary rise in the silt.
b. Find the vertical effective stress in kPa at 5m depth. Assume that the soil abovethe capillary zone or capillary action rise to be dry soil and the soil within thecapillary action be partially saturated (degree of saturation, S) at 50%.
c. Find the vertical effective stress at 10m depth. Assume that the soil above thecapillary zone or capillary action rise to be dry soil and the soil within the capillaryaction be partially saturated (degree of saturation, S) at 50%.
a dense silt layer has the following properties: void ratio = 0.50, effective diameter d10 = 10 um, capillary constant c = 0.20 cm2. free ground water level is 8.0 m below the ground surface. find the vertical effective stress in kpa at 5m depth. assume unit weight of solids = 26.5 kn/m3 and that the soil = 26.5 kn/m3 and that the soil above the capillary action rise and ground surfaces is partially saturated at 50%
from the problem above, find the vertical effective stress at 10m depth. assume unit weight of solids=26.5kN/m3 and that the solid above the capillary action rise and ground surface is partially saturated at 50%.
Chapter 9 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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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_forwardA three-layer soil has the following properties: Layer 1: k = 2.57 x 10^-3 cm/s, H = 3.6 m. Layer 2: k = 1.7 x 10^-2 cm/s, H = 4.63 m. Layer 3: k = 3.19 x 10^-3 cm/s, H = 4.81 m. Determine the equivalent vertical coefficient of permeability of the soil arrangement. Layer 1 is on top of layer 2 while layer 2 is on top of layer 3.arrow_forwardQ#3: For a normally consolidated clay layer in the field, the following values are given. Thickness of clay layer = 2.6 m Compression index = 0.28 Average effective pressure on clay layer 127 KN/m² Secondary compression index = 0.02 Δσ’ = 46.5 KN/m² Void ratio = 0.8 Time of Primary settlement = 1.5 years What is the total consolidation of the clay layer five years after the primary consolidation settlement?arrow_forward
- For a normally consolidated clay layer in the field, the following values are given:Thickness of clay layer = 8.5 ftVoid ratio ?? = 0.8Compression index ?? = 0.28Average effective pressure on the clay layer ??′ = 2650 lb ft2 ⁄∆?′ = 970 lb ft2 ⁄Secondary compression index ?? = 0.02What is the total consolidation settlement of the clay layer five years after the completionof primary consolidation settlement? (Note: Time for completion of primary settlement= 1.5 years.)arrow_forwardFor a laboratory consolidation test on a clay specimen (drained on both sides), the followingresults were obtained. (7.5)Thickness of the clay layer = 25 mmP1= 100 kN/m2 e1= 0.81P2= 200 kN/m2 e2= 0.73Time for consolidation (t50) = 3.4 minDetermine the hydraulic conductivity of the clay for the loading rangearrow_forwardA dense silt layer has the following properties.void ratio = 0.30eff. Diameter ?10 = 10??capillary constant (c)=0.20 cm²Groundwater level is 8.0m below the ground surface 1. Calculate the height of capillary rise in the silt. 2. Calculate the vertical effective stress in kpa at 5m depth, assume ?? = 26.5 ??/?³and that the soil above the capillary action rise and ground surface is partially saturated at 50%. 3. Calculate the effective vertical stress at 10m depth assuming ?? = 26.5 ??/?³and that the soil above the capillary action rise and ground surface is partially saturated at 50%.arrow_forward
- A 5.3 m thick of soil consist of three different layers as follows: Layer 1: H1 = 1.6 m, k1 = 4.5 m/day Layer 2: H2 = 2.3 m, k2 = 3.5 m/day Layer 3: H3 = 1.4 m, k3 = 5.1 m/day Considering the equivalent coefficient of permeability in the horizontal direction, what is the transmissivity of soil? CHOICES A. 28.43 m2/day B. 27.65 m2/day C. 20.45 m2/day D. 22.36 m2/dayarrow_forwardA stratum of normally consolidated clay of thickness 10 ft is drained on one side only. It has a hydraulic conductivity of h = 1.863 x 10^-8 in/sec and a coefficient of volume compressibility mv = 8.6 x 10^-4 in2/lb. Determine the ultimate value of the compression of the stratum by assuming a uniformly distributed load of 5250 lb/ft2. a.3.763" b.6.982" c.8.542" d.5.890" With Free Body Diagramarrow_forwardFor normally consolidated clay layer in the field, the ff. values are given: Thickness of clay layer = 8.5ft, Void Ratio = 0.8; Compression Index = 0.28; Average effective pressure on the clay layer is 2650 lb/ft2; ∆σ = 970 lb/ft2; Secondary Compression index = 0.02. What is the total consolidation settlement of the clay layer five years after the completion of primary consolidation settlement? Time for completion of primary settlement = 1.5 years)arrow_forward
- For a sandy soil, the following are given: • Maximum void ratio = 0.72 • Minimum void ratio = 0.46 • Hydraulic conductivity at a relative density of 80% = 0.006 cm/sec. Determine the hydraulic conductivity of the sand at a relative density of 67%.arrow_forwardA layered soil is shown in the figure below. Given that H1 = 1 m, k1 = 10-4 cm/sec H2 = 1 m, k2 = 2.8 x 10-2 cm/sec H3 = 2 m, k3 = 3.5 x 10-5 cm/sec Estimate the ratio of equivalent permeability, kH(eq)/kV(eq).arrow_forward
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