Chapter 3, Problem 3.2CTP

### 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

# A 3-m high sandy fill material was placed loosely at a relative density of 55%. Laboratory studies indicated that the maximum and minimum void ratios of the fill material are 0.94 and 0.66, respectively. Construction specifications required that the fill be compacted to a relative density of 85%. If Gs = 2.65, determine:a. Dry unit weight of the fill before and after compactionb. Final height of the fill after compaction

(a)

To determine

Calculate the dry unit weight of the fill before and after compaction.

Explanation

Given information:

The height of the fill before compaction (H) is 3m.

The relative density (Dr) is 55%.

The maximum void ratio (emax) is 0.94.

The minimum void ratio (emin) is 0.66.

The relative density after compaction (Dr) is 85%.

The specific gravity of soil solids (Gs) is 2.65.

Calculation:

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

Calculate the void ratio (e) using the relation.

Dr=emaxeemaxemin (1)

Calculate the void ratio before compaction (e1) as shown below.

Substitute 55% for Dr, 0.94 for emax, and 0.66 for emin in Equation (1).

55100=0.94e10.940.660.94e1=0.154e1=0.786

Calculate the void ratio after compaction (e2) as shown below.

Substitute 85% for Dr, 0.94 for emax, and 0.66 for emin in Equation (1).

85100=0.94e20.940.660.94e2=0.238e2=0

(b)

To determine

Calculate the final height of the fill after compaction.

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