Chapter 6, Problem 6.11P

### 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 proposed embankment fill requires 7500 m3 of compacted soil. The void ratio of the compacted fill is specified as 0.7. Soil can be transported from one of the four borrow pits, as described in the following table. The void ratio, specific gravity of soil solids, and the cost per cubic meter for moving the soil to the proposed construction site are provided in the table.a. Determine the volume of each borrow pit soil required to meet the specification of the embankment site.b. Make the necessary calculations to select the borrow pit which would be most cost-effective.

(a)

To determine

Find the volumes of each borrow pit soil required to meet the specification of the embankment site.

Explanation

Given information:

The volume of compacted soil V is 7,500m3.

The void ratio of compacted fill (e) is 0.7.

Calculation:

Determine the dry unit weight of the compacted fill γd using the relation;

γd=γwGs1+e

Here, γw is the unit weight of water and Gs is the specific gravity of the soil for borrow pit I.

Take unit weight of water γw as 9.81kN/m3.

Substitute 9.81kN/m3 for γw, 2.66 for Gs, and 0.7 for e.

γd=9.81×2.661+0.7=15.35kN/m3

Determine dry weight of solids required at the embankment site for borrow bit I using the relation.

Ws=Vγd

Substitute 7,500m3 for V and 15.35kN/m3 for γd.

Ws=7,500×15.35=115,125kN

Similarly, calculate the dry weight of solids for remaining borrow pits.

Determine the dry unit weight of the soil in the borrow pit I (γd)b using the relation;

(γd)b=γwGs1+eI

Here, eI is the void ratio of the soil in the borrow pit I.

Substitute 9.81kN/m3 for γw, 2.66 for Gs, and 0.85 for eI.

(γd)b=9.81×2.661+0.85=14

(b)

To determine

Find the most cost effective borrow pit.

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