6.14 A 5-m-thick clay layer, drained at the top only, has some sand drains. A uniform surcharge is applied at the top of the clay layer. Calculate the average degree of consolidation for combined vertical and radial drainage after 100 days of load application, given Cur = C, = 4 mm²/ min, de = 2m, and rw = 0.2m. Use the equal-strain solution.

6.14 A 5-m-thick clay layer, drained at the top only, has some sand drains. A uniform surcharge is applied at the top of the clay layer. Calculate the average degree of consolidation for combined vertical and radial drainage after 100 days of load application, given Cur = C, = 4 mm²/ min, de = 2m, and rw = 0.2m. Use the equal-strain solution.

Structural Analysis

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ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Consolidation parameters

Consolidation is the process of expulsion of pore water present in the voids of soil solids under the pressure of the applied load. This is a quick process in the case of coarse-grained soils since the permeability is high due to the presence of more voids, while it is a slow and gradual process in the case of clayey soil as the permeability of clay is less. An example of consolidation is the settlement of soil under a building due to the load coming from the building.

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A 5-m-thick clay layer, drained at the top only, has some sand drains. A uniform surcharge is applied at the top of the clay layer. Calculate the average degree of consolidation for combined vertical and radial drainage after 100 days of load application, given \( C_{ur} = C_v = 4 \, \text{mm}^2/\text{min}, \, d_c = 2 \, \text{m}, \) and \( r_w = 0.2 \, \text{m}. \) Use the equal-strain solution.

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A clay specimen drained on both sides was tested. The data were obtained P1=50 kPa e1=0.92 P2=120 kPa e2=0.78 Time for 50% consolidation=2.5 min Tv=0.197 Determine the following 1. Coefficient of compressibility (Ans. 1.08x10-3 m2/kN) 2. Coefficient of consolidation (Ans. 1.23x10-5 m2/min) 3. Hydraulic conductivity of clay for the loading range (Ans. 1.31 x10-7 m/min)
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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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13. Situation 13 - The soil is acted upon by a uniformly distributed load ΔP = 60 kPa at the ground surface. a. Compute the settlement of the clay layer, in mm, caused by primary consolidation if the preconsolidation pressure of clay is 230 kPa. Use Cs = Cc/5. Round off to the nearest whole number. b. Compute the settlement of the clay layer, in mm, caused by primary consolidation if the clay is normally consolidated. Round off to the nearest whole number. c. Compute the settlement of the clay layer, in mm, caused by primary consolidation if the preconsolidation pressure of clay is 200 kPa. Use Cs = Cc/5. Round off to the nearest whole number.