Q2-A) 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 c, 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?

Q2-A) 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 c, 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?

Fundamentals of Geotechnical Engineering (MindTap Course List)

5th Edition

ISBN:9781305635180

Author:Braja M. Das, Nagaratnam Sivakugan

Publisher:Braja M. Das, Nagaratnam Sivakugan

Chapter9: Consolidation

Section: Chapter Questions

Problem 9.17P

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Concept explainers

Calculation of Settlement

The vertical displacement of the structural foundation due to the loading from the superstructure is known as settlement. It is due to the reduction of air voids present in the soil. The amount of vertical displacement depends on the bearing capacity of the soil on which the foundation is laid. The effect of the settlement depends on the magnitude of settlement, uniformity, and the structural design of the structure. The maximum allowable settlement for residential and office buildings should be less than 18 mm, for industrial buildings, it is 38 mm and for commercial buildings, it is 25 mm.

Question

Q2-A) 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 c, 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?

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For a normally consolidated clay, the following are given:The hydraulic conductivity k of the clay for the preceding loading rangeis 1.8 104 ft/day.a. How long (in days) will it take for a 9 ft thick clay layer (drained on one side)in the field to reach 60% consolidation?b. What is the settlement at that time (that is, at 60% consolidation)?
For 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.
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In laboratory consolidation tests on a clay specimen (drained on both sides), the following results were obtained:• thickness of clay layer = 25 mm• σ'1 = 50 kN/m2 , e1 = 0.75• σ'2 = 100 kN/m2 , e2 = 0.61• time for 50% consolidation (t50) = 3.1 minDetermine the hydraulic conductivity of the clay for the loading range.
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2- 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.
Experimental data for clay specimen obtained initial values of e1 = 1.12 and P1 = 90 kPa, and final values of e2 = 0.90 and P2 = 460 kPa What is the hydraulic conductivity in cm/s if the coefficient of consolidation is 0.036 cm2/s