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 11.13P
To determine
Calculate the primary consolidation settlement of the clay layer.
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A uniform loading of 150kPa is applied at a 28 m Χ 28 m area. Please calculate the consolidation settlement of the clay layer used the middle of the clay layer to estimate the stress increment with the influence factor method). Cc = 0.4, Cs = 0.04, preconsolidation stress is 150 kPa and unit weight of water is 10 kN/m3. What is the settlement at the corner and center of the loading? What is the differential settlement between the corner and the center?
Assume a buried stratum of clay 1.83 m thick will be subjected to a stress increase of 44.6 kPa at the center of the clay. The magnitude of the pre-construction soil overburden pressure P0= 48 kPa at the center of the clay layer. A laboratory compression test indicates that the clay has a pre-consolidation pressure of 72 kPa. The compression index is 0.30 and the value of the swell index is 0.05. The void ratio of clay is 1.50.
a. Compute the settlement due to primary compression of clay.b. If full consolidation settlement will require approximately 8 years, compute the settlement due to secondary compression of clay over a period of 20-year time span. Assume secondary compression index 0.008.c. Estimate the total settlement to be expected over a 20-year time span considering the effect of secondary compressionNote: Draw Free Body- Diagram,
Use 3 decimal Places
Do not copy the one in chegg, it is incomplete
Topic: Compressibility of Soil (Soil Mechanics)
A sample of normally consolidated clay was
subjected to a consolidated undrained triaxial
compression test that was carried out until the
specimen failed at a deviator stress of 50
kN/m2. The pore water
pressure at failure was recorded to be 20
kN/m2 and confining pressure of 50 kN/m2
was used in the test. Determine the
consolidated undrained friction angle.
Chapter 11 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
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- 9.18 Fig. P9.18 shows the soil profile at a site for a proposed office building. It is expected that the vertical stress at the top of the clay will increase by 150 kPa and at the bottom by 90 kPa. Assuming a linear stress distribution within the clay, calculate the consolidation settlement. [ Hint: You should divide the clay into five equal layers, compute the settlement for each layer, and then find the total settlement.] Groundwater level is at the top of the clay layer. An oedometer test on a sample of the clay revealed that the time for 90% consolidation on a 20 mm thick sample occurred in 40 minutes. The sample was drained on the upper and lower boundaries. How long will it take for 50% consolidation to occur in the field? w = 23% 5 m S = 90% Sand w = 40% 10 m C=0.3 OCR = 1 Clay Impervious rock FIGURE P9.18arrow_forward12. A stratum of clay 1.8 m thick below an incompressible soil will be subjected to a stress increase of 36 kPa. The magnitude of the preconstruction soil overburden pressure in laboratory compression tests indicates that the clay is overconsolidated with a preconsolidation pressure equal to 72 kPa. The value of the compression index Cc= 0.30 and the swell index is equal to 0.05, void ratio of the clay is 1.50. Determine the change in thickness in the clay layer due to this conditionarrow_forwardA stratum of clay1.80 meters thick below an incompressible soil will be subjected to a stress increase of 36 kPa at the center of the layer. The magnitude of the pre-construction soil overburden pressure is 68 kPa at the center of the layer. A laboratory compression tests indicates that the clay is overconsolidated with a preconsolidation pressure equal to 80kPa. The value of the compression index, Cc=0.30 and the swell index is 0.05. The void ratio of the clay is 1.50. Determine the settlement of the clay layer due to this condition.arrow_forward
- 2. The shear strength of a normally consolidated clay can be given by the equation t = ơ' tan 28°. A consolidated-undrained test was conducted on the clay. Following are the results of the test. Chamber confining pressure = 105 KN/m? Deviator stress at failure = 97 KN/m² a. Compute the pore water pressure developed in the clay specimen at failure. b. Compute the consolidated-undrained friction angle 4. What would have been the deviator stress at failure if a drained test had been conducted with the same chamber confining pressure that is o3= 105 KN/m? C.arrow_forwardIn a triaxial test, a specimen of saturated [normally consolidated] clay was consolidated under a chamber confining pressure of 80 kPa. The axial stress on the specimen was then increased through the allowing the drainage from the specimen. The specimen fails when 120 kPa. The pore water pressure at the time was 50 kPa. What is the consolidated undrained friction angle [phi]?arrow_forwardA consolidated-undrained test on a normally consolidate clay yield the following results: Confining Pressure = 160 KPa; Deviator Stress = 182 KPa; Pore Pressure = 73 KPa. Calculate the consolidated undrained friction angle.arrow_forward
- A consolidated-undrained test on a normally consolidate clay yield the following results: Confining Pressure 167 KPa; Deviator Stress = 184 KPa; Pore Pressure = 74 KPa. Calculate the normal stress at the failure plane at drained condition in KPa.arrow_forwardRefer to Figure 11.41. Given that B =1 m, L = 3 m, and Q = 110 kN, the soil characteristics given in the figure are Cs = 1/5 Cc, Ꝺ’c= 40 kN/m2. Field monitoring indicated that the foundation settlement was 19 mm during the first 12 months. a. Estimate the average stress increase in the clay layer due to the applied load. b. Estimate the primary consolidation settlement. c. What is the degree of consolidation after 12 months? d. Estimate the coefficient of consolidation for the pressure range. e. Estimate the settlement in 24 months. Answer must be: A. 6.33 B. 32.82 C. 57.89 D. 0.0013 E. 25.66arrow_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_forward
- A sample of clay retrieved from the field at a depth of 4m is observed to be heavily over- consolidated and is calculated to exist at a mean normal effective stress of 95 kPa. It has a water content of 39.0 %. Given the following parameters, to what stress path should a dried, crushed and reconstituted slurry sample follow if the aim is to bring it to the same point in v, p' space via isotropic consolidation and swelling? M = 0.95 N = 2.800 at 1 kPa 1 = 0.15 K = 0.04 Gs = 2.74arrow_forwardassume a buried stratum of clay 1.83 m thick will be subjected to a stress increase of 33.6 kpa at the center of clay. the magnitude of the pre-construction soil overburden pressure is 48 kpa at the center of the clay layer. a laboratory compressiontest indicates that the clay has a pre-consolidation pressure of 72 kpa. compression index is 0.3 and the value of swell index is 0.05. the void ratio of clay is 1.5.compute the settlement due to primary compression of clay.arrow_forward7.2 A specimen of normally consolidated clay (= 28°) was consolidated under a chamber-confining pressure of 280 kN/m². For a drained test, by how much docs the axial stress have to be reduced to cause failure by axial extension? 1 7.3 A normally consolidated clay specimen (= 31°) was consolidated under a chamber-confining pressure of 132 kN/m². Failure of the specimen was caused by an added axial stress of 158.1 kN/m in an undrained condition. Determine &u, Af and the pore water pressure in the specimen at failure. >arrow_forward
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