Chapter 6, Problem 6.10P

### 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

# The in situ moist unit weight of a soil is 16.6 kN/m3, and the moisture content is 19%. The specific gravity of soil solids is 2.69. This soil is to be excavated and transported to a construction site for use in a compacted fill. If the specification calls for the soil to be compacted to a minimum dry unit weight of 19.5 kN/m3 at the same moisture content of 19%, how many cubic meters of soil from the excavation site are needed to produce 2500 m3 of compacted fill? How many 20-ton (≈ 18,144 kgf) truckloads are needed to transport the excavated soil?

To determine

Find the volume of soil are required from the excavation site for the production of 2,500m3 volume of compacted fill and the number of truck loads required for the excavated soil transportation.

Explanation

Given information:

The in situ moist unit weight of a soil γ(in-situ) is 16.6kN/m3.

The moisture content w is 19 %.

The specific gravity of soil solids (Gs) is 2.69.

The minimum dry unit weight of soil γd(compacted) is 19.5kN/m3.

Calculation:

Determine the in situ dry unit weight of soil using the relation.

γd(insitu)=γ(insitu)1+w100

Substitute 16.6kN/m3 for γ(in-situ) and 19 % for w.

γd(insitu)=16.61+19100=13.95kN/m3

Determine the volume of soil to be excavated using the relation.

Vex=Vfill×γd(compacted)γd(insitu)

Here, Vfill is the volume of compacted fill.

Substitute 2,500m3 for Vfill, 19.5kN/m3 for γd(compacted), and 13.95kN/m3 for γd(insitu)

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