   Chapter 11, Problem 11.5P 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

Organic soils are typically characterized by high void ratio, low specific gravity, and high compressibility. Following are the results of a consolidation test on a sample of organic soil obtained in southwest Florida. Given are the initial height of the specimen = 0.7481 in, weight of dry specimen = 18 g, area of specimen = 4.91 in.2, and Gs = 2.55. a. Plot the e-log σ′ curve. b. Determine the preconsolidation pressure. c. Calculate the compression index, Cc.

(a)

To determine

Plot the elogσ curve.

Explanation

Given information:

The initial height of the specimen (h) is 0.7481in..

The weight of the dry specimen (Ws) is 18g.

The area of specimen (A) is 4.91in.2.

The specific gravity of soil solids (Gs) is 2.55.

The pressure and change in dial readings are given in the table.

Calculation:

Consider the unit weight of water as (γw) is 1g/cm3.

Calculate the final height of the specimen 1 (H1) as shown below.

H1=hΔH1

Here, ΔH1 is the change in dial reading 1.

Substitute 0.7481in. for h and 0.0110in. for ΔH1.

H1=0.74810.0110=0.7371in.

Calculate the final height of the specimen 2 (H2) as shown below.

H2=H1ΔH2

Here, ΔH2 is the change in dial reading 2.

Substitute 0.7371in. for h and 0.0119in. for ΔH1.

H2=0.73710.0119=0.7252in.

Similarly calculate the final height of the remaining specimens and tabulated as in Table 1.

Calculate the height of solids (Hs) in the soil specimen using the relation.

Hs=WsAGsγw

Substitute 18g for Ws, 4.91in.2 for A, 2.55 for Gs, and 1g/cm3 for γw.

Hs=18g4.91in.2×2.55×1g/cm3×(2

(b)

To determine

Calculate the preconsolidation pressure.

(c)

To determine

Calculate the compression index.

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