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
To determine
Calculate time taken for
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For
the soil profile given below, assume that the primary consolidation settlement for the
clay layer is completed in 3 years. Estimate the secondary consolidation settlement for the
clay layer at the end of 10 years. Yw= 10kN/m³, Ca= 0.03
1m
1.5m
2m
BxL= 2m x 4m
Groundwater table
0.5m
90 = 100kPa
Sand
y = 17.0 kN/m³
Sand
Ysat 19.0 kN/m³
a retaining wall are shown in
Normally consolidated Clay
Ysat 20 kN/m³
eo = 0.7
Cs=0.09 Cc = 0.2
For a laboratory consolidation test on a clay specimen (drained on both sides) the following results were obtained: Thickness of clay soil= 25 mm; P_1 = 50 kPa; P_2 = 120 kPa; e_1 = 0.92; e_2 = 0.78; Time for 50% consolidation= 2.5 min. Tv = 0.197. Determine the coefficient of compressibility in m2/kN.
a.2.56 x 10^-2
b.1.081 x 10^-3
c.1.23 x10 ^-5
d.1.31 x 10^-7
C
5. For the soil profile given below, assume that the primary consolidation settlement for the
clay layer is completed in 3 years. Estimate the secondary consolidation settlement for the
clay layer at the end of 10 years. Yw=
10kN/m³, Ca = 0.03
t
1m
1.5m
2m
Groundwater table
0.5m
90 = 100kPa
BXL = 2m x 4m
Sand
y = 17.0 kN/m³
Sand
Ysat = 19.0 kN/m³
=
Normally consolidated Clay
Ysat = 20 kN/m³
eo = 0.7
Cs= 0.09 Cc = 0.2
Chapter 11 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
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- For a laboratory consolidation test on a clay specimen (drained on both sides) the following results were obtained: Thickness of clay soil= 25 mm; P_1 = 50 kPa; P_2 = 120 kPa; e_1 = 0.92; e_2 = 0.78; Time for 50% consolidation= 2.5 min. Tv = 0.197. Determine the coefficient of consolidation in m2/m. Show free body diagram a.1.081 x 10^-3 b.1.23 x10 ^-5 c.1.31 x 10^-7 d.2.56 x 10^-2arrow_forwardRefer 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?arrow_forward4. In a consolidated-drained triaxial test on a clay that is normally consolidated, the results are as follows: O3 = 15 lb/in 2 (Aoa)f = 11 lb/in? (Aua)f = 7.2 lb/in? a) Determine the consolidated-undrained friction angle. %3D b) Calculate the drained friction angle.arrow_forward
- 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_forwardFigure below shows a soil profile. The uniformly distributed load on the ground surface is Δσ. 2Given Δσ = 150 kN/m , compression index (Cc) for clay layer is 0.30, and recompression index (Cs) for clay layer is 0.06. Estimate the primary consolidation settlement if the clay is normally consolidated (NC).Given:H1 =2.5m,H2 =2.5m,andH3 =3.5m.Sand: γdry(sand) = 15 kN/m3; γsat(sand) = 18 kN/m3 Clay: γsat(clay) = 19 kN/m3; Initial void ratio for clay, e0 = 0.65arrow_forwardRefer to the soil profile shown in figure below. A laboratory consolidation test on the clay gave the results: o'c = 100 kPa Cc = 0.4 Cs = 0.2Cc If the average effective stress on the clay layer increases by 60 kN/m², what would be the total consolidation settlement in cm. Dry sand; e = 0.55 G,= 2.66: Sand G₂ = 2.66 e = 0.48. Clay w 34.78% G₂ = 2.74 Rock 1.5 m. 5 m Water table;arrow_forward
- The following data are given for normally consolidated clay: Thickness=2.6m Primary Cc=0.3 Secondary Cc=0.02 e=0.8 Average Pressure=127 kPa Change in pressure (vertical) =46 kPa Determine the following 1. Primary Consolidation Settlement (Ans. 58.17mm) 2. Secondary Settlement five years after the completion of the primary settlement. The time for completion of primary settlement is 1.5 years. (Ans. 15.4mm)arrow_forwardb. If c, = 2.05 × 10-3 in./sec, determine k in ft/sec corresponding to the average void ratio within the pressure range. 11.17 The time for 75% consolidation of a 25-mm clay specimen (drained at top and bottom) in the laboratory is 22 minutes. How long will it take for a 6-m thick clay layer in the field to undergo 55% consolidation under the same pressure increment? In the field, there is a rock layer at the bottom of the clay.arrow_forwardTake 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_forward
- 4. A normally consolidated clay layer is 3 m thick (one way drainage). From the application of a given pressure, the total anticipated primary consolidation settlement will be 80 mm. a. What is the average degree of consolidation for the clay layer when the settlement is 25 mm? b. If the average value of Cv for the pressure range is 0.002 cm²/sec, how long in days will it take for 50% settlement to occur? Tso= 0.197. How long in days will it take for 50% consolidation to occur if the clay layer is drained at top and bottom? C.arrow_forwardFor 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)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/m? Secondary compression index = 0.02 Ao' = 46.5 KN/m? 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? Solution: 1. Де 2. Sc 3. ер. .4.C 5. Total Consolidation settlement.arrow_forward
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