Principles of Foundation Engineering (MindTap Course List)
8th Edition
ISBN: 9781305081550
Author: Braja M. Das
Publisher: Cengage Learning
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Chapter 2, Problem 2.19P
To determine
Calculate the settlement at
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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)
Consolidation 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 kPa
Chapter 2 Solutions
Principles of Foundation Engineering (MindTap Course List)
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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- 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_forwardIn a drained triaxial compression test, a saturated specimen of cohesionless sand fails at a deviator stress of 450 kN/m2 when the cell pressure was 135 kN/m2. Find the angle of inclination of the failure plane with the horizontal. 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_forwardA saturated clay layer (300cm in thickness) was sitting upon the rock, its unit weight was = 20kN/m3, an oedometer test also found that Cc = 0.2, Cr = 0.04. The existing vertical effective stressin the field is 200 kPa. Construction will increase the vertical stress at the centre of the clay by = 600 kPa.a) Calculate the primary consolidation settlement of clay layer if it has been subjected toa load at OCR = 2.b) Assume spatial variation of pore pressure u with time t and depth z is onedimensional,and governed by:where Cv is a given constant, specify its boundary and initial condition, and try toillustrate the pore pressure change with time along its depth.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
- The figure below shows the soil profile at a site where you plan to lower the water table. You have results from two consolidation tests, one from the upper 12 ft thick overconsolidated crust, and another from the lower 40 ft thick normally consolidated zone. You plan to lower the water table from its current 12 ft depth to 25 ft below ground surface. The consolidation properties for each layer are shown. (Assume that changes in GWT do not affect γt of clay). a. Compute the σ′v in the middle of each layer before and after the water table is lowered b. Determine the total settlement that will result from lowering the water tablearrow_forwardIn a consolidation test, a fully saturated clay sample was subjected to a load of 500 kN/m2. After 12 hours, the average pore pressure was found to be 200 kN/m2. The time (in hours, rounded off to two decimal places) required for 50% consolidation to take place isarrow_forwardLaboratory tests on a 25-mm-thick clay specimen drained at the top and bot-tom show that 50% consolidation takes place in 8.5 min.a. How long will it take for a similar clay layer in the field, 3.2 m thick anddrained at the top only, to undergo 50% consolidation?b. Find the time required for the clay layer in the field described in part (a)to reach 65% consolidation.arrow_forward
- A saturated specimen of cohesionless sand was tested under drained conditions in a triaxial compression test apparatus and the sample failed at a deviator stress of 482 kN/m2 and the plane of failure made an angle of 60° with the horizontal. What would be the magnitude of the deviator stress in kPa at failure for identical specimen of sand if it is tested under a cell pressure of 200 kPa? Show diagramarrow_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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