EBK PRINCIPLES OF FOUNDATION ENGINEERIN
8th Edition
ISBN: 9780100547056
Author: Das
Publisher: YUZU
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Chapter 2, Problem 2.14P
To determine
Calculate the consolidation settlement.
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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.)
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
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?
Chapter 2 Solutions
EBK PRINCIPLES OF FOUNDATION ENGINEERIN
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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- 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_forwardA stratum of clay is 2m thick and has an initial vertical effective stress of 50 KN/m2. The foundation load caused an increased pressure of 40 KN/m2 at the mid-layer of clay. Consolidation test revealed the following results: overconsolidation ratio (OCR) = 1.5 Compression index = 0.25 Recompression index = 0.05 Secondary compression index = 0.02 Initial void ratio = 0.90 Determine the following a. the primary consolidation settlement of the clay layer (in mm). b. If the primary consolidation settlement took 2 years to achieve in the field, calculate the secondary consolidation settlement after a period of 5 years (in mm). c. the preconsolidation pressure (in KPa. Note: Kindly give all right solutions with clear calculations.arrow_forwardA soil profile consists of two layers of soil with clay layer underlying the sand layer. The sand layer has a unit weight of 20 kN/m^3 having a thickness of 4 m. and the unit weight of the 2.5m layer of clay is 18 kN/m^3. Compression index of the clay is 0.22 with a void ratio of 1.30. Compute the effective stress (kPa) at the mid height of clay. Calculate the final settlement of the clay layer (mm) due to an increase of pressure of 30 kPa at the mid-height of the clay. Calculate the settlement (mm) when the water table rises to the ground surface.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_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_forwardA soil profile consists of a sand layer underlain by a clay layer, as shown. If the degree of saturation of the sand above water table was 50%. Saturated and dry unit weight of sand are 21.2 kN/m^3 and 18.22 kN/m^3 respectively. The saturated unit weight of clay is 18 kN/m3. Determine the total stress, pore pressure and effective stress at point A,B,C.arrow_forward
- What is the intensity of active earth pressure at a depth of 10.0 m in dry sand with an angle of shearing resistance of 30 degrees and unit weight of 18kN /m ^ 3 ?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 pre-consolidation pressure in kPa. a. 92.9 b. 49 c. 87.64 d. 100.5arrow_forwardA 2-meter clay layer (e=0.89, Gs=2.55, Cc=0.325) is overlain with 2 meter thick sand layer (e=0.82 G=2.63). the water table is at the interface of the sand and clay layer. if a 2-meter thick land fill (y=17.15kN/m^3) is placed over the existing ground surface, compute the consolidation settlement (in mm) of the clay layer. hint: Use the land fill's resulting pressure on the ground surface as the stress increase.arrow_forward
- 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?arrow_forwardA soil profile is shown in Figure Q3(b)(i). The groundwater level is located on the ground surface. The sand layer is under artesian pressure where the excess pore water pressure is 40 kN/m^2. (i) Calculate the total vertical stress, pore water pressure and effective vertical stress at the base of each layer. (ii)Determine the increment of the effective stress at the base of sand layer if the 1.5m height fill will be imposed on the ground surface. Note that, the density of the fill material is 1750 kg/m^3. (iii) The excavation will be made in the clay layer for the basement construction. Evaluate the stability of the soil from boiling or quick condition. The depth of the excavation is shown in Figure Q3(b)(ii). (iv)Propose the maximum depth of cut that can be made to avoid boiling or quick condition.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_forward
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