Chapter 4, Problem 4.10P

### Principles of Geotechnical Enginee...

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

Chapter
Section

### Principles of Geotechnical Enginee...

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

# During a shrinkage limit test, a 19.3 cm3 saturated clay sample with a mass of 37 g was placed in a porcelain dish and dried in the oven. The oven-dried sample had a mass of 28 g with a final volume of 16 cm3. Determine the shrinkage limit and the shrinkage ratio.

To determine

Find the shrinkage limit and shrinkage ratio.

Explanation

Given information:

Initial volume of saturated clay sample Vi is 19.3cm3.

The mass of saturated clay sample M1 is 37 g.

Final volume of oven–dried sample Vf is 16cm3.

The mass of oven–dried sample M2 is 28 g.

Calculation:

Consider the density of water as ρw=1g/cm3.

Determine the shrinkage limit value using the relation.

SL=(M1M2M2)×100(ViVfM2)ρw×100

Substitute 37 g for M1, 28 g for M2, 19.3cm3 for Vi, 16cm3 for Vf, and 1g/cm3 for ρw

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