Principles of Foundation Engineering
8th Edition
ISBN: 9781305537897
Author: Das
Publisher: Cengage Learning
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Chapter 2, Problem 2.15P
(a)
To determine
Calculate the total consolidation settlement.
(b)
To determine
Find the time taken for half of the consolidation settlement.
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Refer to the soil profile shown in Figure P2.12. The clay is normally consolidated. A laboratory consolidation test on the clay gave the results: If the average effective stress on the clay layer increase by 50 kN/m2.a. What would be the total consolidation settlement?b. If Cv = 9.36 x 10-4 cm2/sec, how long will it take for half the consolidation settlement to take place?
For 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)
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.)
Chapter 2 Solutions
Principles of Foundation Engineering
Ch. 2 - Prob. 2.1PCh. 2 - Prob. 2.2PCh. 2 - Prob. 2.3PCh. 2 - Prob. 2.4PCh. 2 - Prob. 2.5PCh. 2 - Prob. 2.6PCh. 2 - Prob. 2.7PCh. 2 - Prob. 2.8PCh. 2 - Prob. 2.9PCh. 2 - Prob. 2.10P
Ch. 2 - Prob. 2.11PCh. 2 - Prob. 2.12PCh. 2 - Prob. 2.13PCh. 2 - Prob. 2.14PCh. 2 - Prob. 2.15PCh. 2 - For a normally consolidated soil, the following is...Ch. 2 - Prob. 2.17PCh. 2 - Prob. 2.18PCh. 2 - Prob. 2.19PCh. 2 - Prob. 2.20PCh. 2 - Prob. 2.21PCh. 2 - Prob. 2.22PCh. 2 - Prob. 2.23PCh. 2 - Prob. 2.24PCh. 2 - Prob. 2.25PCh. 2 - Prob. 2.26PCh. 2 - Prob. 2.27P
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- Take a look at the figure below. Estimate the primary consolidation settlement in the clay layer. The increase in stress is 85 kN/m2, H1 = 2m, H2 = 4m and H3 = 6m. Soil characteristics are as follows:• Sand: e = 0.65; Gs = 2.66• Clay: LL = 54; e = 0.98; Gs = 2.74; pre-consolidation stress = 150 kN/m2; Cs = Cc/6arrow_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_forwardA clay layer 5 m thick has double drainage. It was consolidated under a load of 127.5 kN/m2. The load is increased to 197.5 kN/m2. The coefficient of volume compressibility is 5.79 × 10^–4 m2/Kn and value of k = 1.6 × 10^–8 m/min. If the test sample is 2 cm thick and attains 100% consolidation in 24 hours, what is the time in days taken for 100% consolidation in the actual layer? Show diagramarrow_forward
- Example 9.2: A clay soil, tested in a consolidometer, showed a decrease in void res •m 1.20 to 1.10 when the presure was increased from 0.25 to 0.50 kgflem?. Calculate to. efficient of compressibility (a) and the coefficient of volume compressibility (m). If t •ficient of consolidation (c,) determined in the test for the given stress increment u m?/year, calculate the coefficient of permeability in cm/s. If the sample tested at the site was taken from a clay layer 3.0 m in thickness, determin consolidation settlement resulting from the given stress increment. lution:arrow_forwardConsolidation of an undrained clay occurs at an effective pressure of 100 kPa and a shear stress of 40 kPa. The ratio of effective pressure to shear stress in drained clay is 2 to 1. If the shear stress at zero effective pressure, To, is 10 kPa, what is the pore water pressure at failure? A. 10 kPa в. 40 кра с. 53 кра D. 67 kPaarrow_forwardExperimental data for clay specimen obtained initial values of e1 = 1.12 and P1 = 90 kPa, and final values of e2 = 0.90 and P2 = 460 kPa Solve for the compression indexarrow_forward
- The figure below shows a 20 m thick layer of normally consolidated clay (ϒt = 18.6 kN/m3) that is one-dimensionally loaded by Δσv = 60 kPa. The clay layer is below a 5 m thick layer of granular fill (ϒt = 19.6 kN/m3), and a dense, compacted glacial till underlies the clay. The water table is located at the top of the clay layer. A 1-D consolidation test is performed on a 3.00 cm thick, doubly drained specimen from the middle of the clay layer. When the stress conditions from the field (including the Δσv = 60 kPa) are applied to this specimen, it takes 1.5 minutes for 60% average consolidation to occur.a. From the lab test data, determine cv for the soil.b. Compute pore water pressure at 20 m depth 7 years after the Δσv is applied to the clay layer. c. Compute the average degree of consolidation 7 years after Δσv application.arrow_forwardThe figure below shows a 24 m thick layer of normally consolidated clay (ϒt = 18.6 kN/m3) that is one-dimensionally loaded by Δσv = 100 kPa. The clay layer is below a 4 m thick layer of granular fill (ϒt = 19.6 kN/m3), and a dense, compacted glacial till underlies the clay. The water table is located at the top of the clay layer. A 1-D consolidation test is performed on a 2.50 cm thick, doubly drained specimen from the middle of the clay layer. When the stress conditions from the field (including Δσv = 100 kPa) are applied to this specimen, it takes 6 min for 90% average consolidation to occur.a. From the lab test data, determine cv for the soil.b. Compute the pore pressure at depth 22 m before and immediately after the 100 kPa stress is applied.c. At depth 22 m, compute the pore pressure 8.5 years after the 100 kPa is applied.arrow_forwardA saturated clay specimen is subjected to a pressure of 240 kN/m2. After the lapse of a time, it is determined that the pore pressure in the specimen is 72 kN/m2. What is the degree of consolidation? Show free body diagram. a.75% b.60% c.70% d.65%arrow_forward
- For a clay layer with Tv value of 0.05 find the average degree of consolidation for the whole layer and the percent consolidation at depth ratios 0, 0.5, 1, 1.5 and 2.arrow_forwardThe time for 65% consolidation of a 19-mm clay specimen (drained at top and bottom) in the laboratory is 10 minutes. How long will it take for a 4-m-thick clay layer in the field to undergo 40% consolidation under the same pressure increment? In the field, there is a rock layer at the bottom of the clay.arrow_forwardTotal predicted settlement due to consolidation of a low clay layer a certain pressure is 150mm. If 45mm of settlement has occurred in 9 months, What is the expected settlement in 18 months?arrow_forward
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