Chapter 6, Problem 6.15P

### 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

# Refer to the field compaction of the clayey sand in Problem 6.14. If the soil layer before compaction had a void ratio of 0.97 and a thickness of 5.5 ft., what would be the final thickness after compaction? Assume Gs = 2.67

To determine

The final thickness of the soil layer after compaction.

Explanation

Given information:

The relative compaction of clayey sand (R) is 90 %.

The maximum dry unit weight of the silty sand γdmax is 115lb/ft3.

The minimum dry unit weight of the silty sand γdmin is 93lb/ft3.

The void ratio of soil layer before compaction (e1) is 0.97.

The thickness of the soil layer before compaction (H) is 5.5 ft.

The specific gravity of the soil (Gs) is 2.67.

Calculation:

Determine the field dry unit weight (γd(field)) using the relation.

R=[γd(field)γd(max)]

Substitute 90 % for R and 115lb/ft3 for γd(max).

90100=[γd(field)17]0.90×115=γd(field)γd(field)=103.5lb/ft3

Determine the void ratio after compaction using the relation.

e(field)=Gsγwγd(field)1

Here, γw is the unit weight of water

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