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Principles of Geotechnical Enginee...

9th Edition
Braja M. Das + 1 other
ISBN: 9781305970939

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BuyFindarrow_forward

Principles of Geotechnical Enginee...

9th Edition
Braja M. Das + 1 other
ISBN: 9781305970939
Textbook Problem

For the consolidation test data given in Problem 11.12,

  1. a. Determine the coefficient of volume compressibility for the pressure range stated.
  2. b. If cv = 2.05 × 10–3 in.2/sec, determine k in ft/sec corresponding to the average void ratio within the pressure range.

11.12. An undisturbed clay has a preconsolidation pressure of 1.9 ton/ft2 at a void ratio of 1.1. Laboratory consolidation test yields the following data:

images

  1. a. Determine the void ratio that corresponds to a pressure 6 ton/ft2.
  2. b. What would be the void ratio at a pressure of 1.5 ton/ft2? Given: C s = 1 5 C c .

(a)

To determine

Calculate the coefficient of volume compressibility for the pressure range.

Explanation

Given information:

The preconsolidation pressure (σc) is 1.9ton/ft2.

The void ratio of clay (e) is 1.1.

The void ratio (e1) is 0.98.

The void ratio (e2) is 0.84.

The pressure (σ1) is 2.1ton/ft2.

The pressure (σ2) is 4.2ton/ft2.

Calculation:

  Calculate the change in void ratio (Δe) as shown below.

  Δe=e1e2

  Substitute 0.98 for e1 and 0.84 for e2.

  Δe=0.980.84=0.14

  Calculate the change in pressure (Δσ) as shown below.

  Δσ=σ2σ1

Substitute 2.1ton/ft2 for σ1 and 4.2ton/ft2 for σ2.

Δσ=4.22.1=2.1ton/ft2

Calculate the average void ratio (eav) as shown below

(b)

To determine

Calculate the hydraulic conductivity in ft/sec within the pressure range.

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