Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Chapter 11, Problem 11.14P
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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.)
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)
In a clay layer with a thickness of 16 m, bidirectional drainage conditions exist. The consolidation coefficient for the clay layer is given as CV = 6.2 * 10^-81) At the end of 10 years, find the percentages of consolidation at 4 , 8, 12 and 16 m in the clay layer.2) If Δσ = 150 kpa find the pore water pressure at 4.8, 12 and 16 m after 10 years.
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- Q#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_forwardDue to a certain loading condition, the initial excess pore water pressure distribution in a 4m thick clay layer is shown in figure p6.2. Given that Cv=0.3mm2/s, determine the degree of consolidation after 100 days of load applications.arrow_forwardA singly drained clay deposit 10 meters thick has a coefficient of consolidation of 2.0 x 10-4 cm2 / s. A settlement analysis based on consolidation tests predicted an ultimate consolidation settlement under the applied load in the field to be 0.95 meters. a) How long would it take, in years, for a settlement of 35 cm to occur? b) How much settlement, in millimeters, would you expect to occur in 5 years?arrow_forward
- For a given consolidated clay: Gs= 2.71; LL= 45; In situ average effective overburden pressure = 120 kPa; In situ void ratio= 0.80 ; Thickness of clay layer = 4m ; average increase of effective stress on clay layer= 40 kPa; Effective pressure at the mid-height of clay layer= 60 kPa; Swell Index (Cs)= 1/5 Cc. Compute the pre-consolidation pressure in kPa. Show free body diagram a.92.9 b.100.5 c.49 d.87.64arrow_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_forwardIf a representative clay specimen 20 mm thick, under double drainage, took 121 minutes for 90% primary compression, estimate the time in days required for 50% primary compression of a field layer 2 m thick, bounded by impervious boundary at the bottom and sand at the top.arrow_forward
- For a given consolidated clay: Gs= 2.71; LL= 45; In situ average effective overburden pressure = 120 kPa; In situ void ratio= 0.80 ; Thickness of clay layer = 4m ; average increase of effective stress on clay layer= 40 kPa; Effective pressure at the mid-height of clay layer= 60 kPa; Swell Index (Cs)= 1/5 Cc. Compute the pre-consolidation pressure in kPa. a. 92.9 b. 49 c. 87.64 d. 100.5arrow_forwardThe 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_forwardFor a given consolidated clay: Gs= 2.71; LL= 45; In situ average effective overburden pressure = 120 kPa; In situ void ratio= 0.80 ; Thickness of clay layer = 4m ; average increase of effective stress on clay layer= 40 kPa; Effective pressure at the mid-height of clay layer= 60 kPa; Swell Index (Cs)= 1/5 Cc. Compute the primary consolidation settlement in mm. a.87.64 b.49 c.92.9 d.100.5arrow_forward
- For a normally consolidated clay layer in the field, the following values are given: Thickness = 3 m, Natural Void Ratio = 1.30, Compression Index = 0.30, Average effective pressure in the layer is 125 kPa. Estimate the primary consolidation settlement of the layer caused by an increase of pressure of 55 kPaarrow_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 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 x 10^-4 m2/Kn and value of k = 1.6 x 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? a. 62,500 b. 60,000 c. 65,000 d.67,500arrow_forward
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