Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 9, Problem 9.17P
(a)
To determine
Calculate the average degree of consolidation for the clay layer when the settlement is
25 mm.
(b)
To determine
Calculate the time taken for
(c)
To determine
Calculate the time taken for
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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.
A saturated clay specimen is subjected to a pressure of 240 kN/m2. After the lapse of a time, it is determined that the pore pressure in the specimen is 72 kN/m2. What is the degree of consolidation? Show free body diagram.
a.75%
b.60%
c.70%
d.65%
Refer 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;
Chapter 9 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- For a normally consolidated clay layer in the field, the following values are given: • Thickness of clay layer = 8,5 ft • Void ratio (eo) = 0,8 Compression index (C.) = 0.28 • Average effective pressure on the clay layer (ob) = 2650 lb/ft • Ao' = 970 lb/ft? • Secondary compression index (C.) = 0.02 What is the total consolidation settlement of the clay layer five years after the completion of primary consolidation settlement? (Note: Time for completion ofarrow_forwardThe laboratory consolidation data for an undisturbed clay specimen are as follows: e1 = 1.12 P₁ = 90 kPa e2 = 0.90 P2 = 450 kPa 1. Compute the value of the compression index. 2. Compute the value of the swell index assuming it is equal to 1/6 the value of the compression index. 3. Compute the void ratio for a pressure of 600 kPa. 4. Compute the coefficient of compressibility. 5. Compute the value of the coefficient of volume compressibility.arrow_forwardFor a normally consolidated clay layer in the field, the following values are given: Thickness of clay layer = 8.5 ft Void ratio = 0.8 • ● Compression index (Cc) = 0.28 Average effective pressure on the clay layer is 2650 lb/ft² Additional Overburden Pressure is 970 lb/ft² Secondary compression index (Ca) is 0.02 Determine the secondary compression settlement of the clay layer five years after the completion of primary consolidation settlement? (Note: Time for completion of primary settlement is 3 years.) Select the correct response: 0.7621" 0.4932 0.2363" 0.5524"arrow_forward
- Q3: A normally consolidated clay layer is 5 m thick (one-way drainage). From the application of a given pressure, the total anticipated primary consolidation settlement will be 160 mm. a. What is the average degree of consolidation for the clay layer when the settlement is 50 mm? b. If the average value of cv for the pressure range is 0.003 cm2/sec, how long will it take for 50% settlement to occur? c. How long will it take for 50% consolidation to occur if the clay layer is drained at both top and bottom?arrow_forwardA normally consolidated clay layer, 3m thick has the following properties: Initial void ratio, e_0 = 0.8 Compjression index, C_c = 0.25 Average effective pressure, P_0 = 125 kPa Expected pressure increase, AP = 45 kPa Secondary compression index, C_a = 0.02 Time for completion of primary settlement = 1.5 years What is the total settlement of the clay layer five years after the completion of primary consolidation settlement?arrow_forwardThe saturated NC clay is 8 meters deep. The moisture content is 40% and the specific gravity is 2.5. If we know that loading increased the effective stress in the middle of the layer by 270 kpa, then answer the following questions. (cc = 0.2, Cs = 0.05) 1. Calculate the settlement after the consolidation. 2. Calculate the void ratio after consolidation. 3. Calculate the volume compressibility coefficient in terms of Kpa 4. If we unload the load that we applied, calculate the swelling and final void ratio. 5. If the effective stress increases after loading the soil again by 570 Kpa in the middle of the soil layer, calculate the consolidation settlement.arrow_forward
- The layer is subjected to a uniform vertical stress increase of 100 kPa. The singly-drained clay layer has a coefficient of consolidation of 20 ft2 /yr. Determine the value of the excess pore pressure at point A 2 years after the application of the load. Also given is the chart giving the local degree of consolidation. a)4.4 kPa b)44 kPa c)88 kPa d)96 kPaarrow_forward2- An undisturbed clay has a preconsolidation pressure of 200 lb/ft. A laboratory consolidation tests yield the following data: o' (lb/ft') e 0.92 3,130 6,270 0.77 a) Determine the void ratio that corresponds to a pressure of 5,800 (Ib/ft). b) Determine the coefficient of volume compressibility for the pressure range stated. c) If C, = 1 x 10* in?/sec, determine hydraulic conductivity, k in in/sec corresponding to the average void ratio within the pressure range.arrow_forwardFor a laboratory consolidation test on a clay specimen (drained both sides), the following were obtained. Thickness of the clay layer = 25mm o_1 = 200KN/m^2 o'2 = 400KN/m^2 e_1 = 0.73 e_2 = 0.61 Time for 50% consolidation (t_50 = 2.8min: From table U = 50%, Tv = 0.197 %3D Determine the hydraulic conductivity (in cm/sec) of the clay for the loading range.arrow_forward
- A 3.75m clay layer in the field (drained on one side) is normally consolidated. When the pressure is increased from 50 kPa to 150 kPa, the void ratio decreases from 0.9 to 0.75. The coefficient of permeability of the clay was 6 x 10^-7 cm/s.• How long (days) will it take to reach 50% consolidation?• What is the settlement when the soil reaches 50% consolidation?Final answer should be in 3 decimal places.arrow_forwardThe water content of a sample of saturated soil at a mean effective stress of 10 kPa is 85%. The sample was isotropically consolidated with a mean effective stress of 150 kPa. At the end of the consolidation, the water content was 50%. The sample was then isotropically unloaded to a mean effective stress of 100 kPa, and the water content increased by 1%. Given: Gs = 2.7, o'cs = 25°. a) Calculate and K. 10 b) Determine the failure stresses (p'f and gf) under CU test and CD test for the conditions.arrow_forward
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