   Chapter 11, Problem 11.19P Principles of Geotechnical Enginee...

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

Solutions

Chapter
Section Principles of Geotechnical Enginee...

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

For a laboratory consolidation test on a 25 mm thick clay specimen (drained on both ends), the following data were obtained: If the time for 65% consolidation is 5.25 min, determine the hydraulic conductivity of the clay for the loading range.

To determine

Calculate the hydraulic conductivity of the clay.

Explanation

Given information:

The void ratio (e1) is 0.92.

The void ratio (e2) is 0.77.

The pressure (σ1) is 150kN/m2.

The pressure (σ2) is 300kN/m2.

The thickness of clay specimen (H) is 25mm.

The degree of consolidation (U) is 65%.

The time for 65% consolidation (t) is 5.25min.

Calculation:

Consider the unit weight of water (γw) is 9.81kN/m3.

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

Δe=e1e2

Substitute 0.92 for e1 and 0.77 for e2.

Δe=0.920.77=0.15

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

Δσ=σ2σ1

Substitute 150kN/m2 for σ1 and 300kN/m2 for σ2.

Δσ=300150=150kN/m2

Calculate the average void ratio (eav) as shown below.

eav=e1+e22

Substitute 0.92 for e1 and 0.77 for e2.

eav=0.92+0.772=1.692=0.845

Calculate the coefficient of compressibility (av) using the relation.

av=ΔeΔσ

Substitute 0.15 for Δe and 150kN/m2 for Δσ.

av=0.15150=0.001m2/kN

Calculate the coefficient of volume compressibility (mv) using the relation.

mv=av1+eav

Substitute 0

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