This example illustrates the inclusion of financial considerations into a compac

Question

This example illustrates the inclusion of financial considerations into a compaction prob- em Problem Statement A proposed embankment fill requires 9,000 m3 of compacted soil. The void ratio of the compacted fill is specified to be 0.72. Five potential borrow pits are under consideration for use in this project. Table 1 lists the respective void ratios of the soils and the cost per cubic meter for moving the soil to the embankment construction site. The specific gravity of solids is assumed to be the same for the soils found all the borrow pits . Ma ke the necessary calculations so as to select the pit from which the soil should be brought to minimize costs Table 1: Data for potential borrow pits. Borrow Pit Void ratio Cost for transport 1.15 0.85 0.76 0.92 1.20 (per m3 $8.00 S7.50 $12.50 $9.00 $9.50

Explanation / Answer

The volume of soil required = (E1/E2) x Volume in the fill.

So for Soil A, e1 = 1.15 and e2 = 0.72

Volume required = (1.15/0.72) x 9000m3.

==> V = 14375 m3

Cost = 14375 x $8 = $115000

similarly for soil B , C , D and E

For B ==> V = (0.85/0.72) x 9000 = 10625m3

Cost = 10625 x $7.50 = $79687.5

Soil C

V = (0.76/0.72) x 9000 = 9500m3

Cost = 9500 x $12.50 = $118750

Soil D

V = (0.92/0.72) x 9000 = 11500 m3

Cost = 11500 x $9 = $103500

soil E

V = (1.20 / 0.72) x 9000 = 15000 m3

==> Cost = 15000 x $9.50 = $142500

The Cheapest option is SOil B costs $79687.5

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.