Chapter 3, Problem 3.22P

### 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 Figure 3.14. After the construction of a concrete retaining wall, backfill material from a nearby borrow pit was brought into the excavation behind the wall and compacted to a final void ratio of 0.8. Given that the soil in the borrow pit has void ratio of 1.1, determine the volume of borrow material needed to construct 1 m3 of compacted backfill.Figure 3.14

To determine

Calculate the volume of borrow material needed to construct 1m3 of compacted backfill.

Explanation

Given information:

The void ratio of compacted backfill (ebackfill) is 0.8.

The void ratio of borrow pit (eborrow pit) is 1.1.

The volume of compacted backfill (V) is 1m3.

Calculation:

Calculate the dry unit weight (γd) using the relation.

γd=Gsγw1+e (1)

For compacted backfill,

Substitute 0.8 for e in Equation (1).

γdbackfill=Gsγw1+0.8=Gsγw1.8=0.556Gsγw

For borrow pit,

Substitute 1.1 for e in Equation (1).

γdborrow pit=Gsγw1+1.1=Gsγw2

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