#93 A proposed embankment fill requires 3500 m3 of compacted soil
A proposed embankment fill requires 3500 m3 of compacted soil - Civil Engineering
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A proposed embankment fill requires 3500 m3 of compacted soil. The void ratio of the compacted fill is specified as 0.65. Four borrow pits are available, as described in the following table, which lists the respective void ratios of the soil and the cost per cubic meter for moving the soil to the proposed construction site. Make the necessary calculations to select the pit from which the soil should be bought to minimize the cost. Assume Gs to be the same at all pits.| Borrow pit | Void ratio | Cost ($/m3) |
| A | 0.85 | 9 |
| B | 1.2 | 6 |
| C | 0.95 | 7 |
| D | 0.75 | 10 |
Free Chegg Answer
Find the dry unit weight 
using the formula.
â¦â¦ (1)
Here,
is specific gravity of soil solids, 
is unit weight of water, and e is void ratio.
Substitute
for 
and 0.65 for e.
â¦â¦ (2)
Find the dry unit weight soil required for
compacted soil using Equation (2).
Thus, the volume of soil to be excavated from borrow pit is
.
Find the dry unit weight of soil for borrow pit A using Equation (1).
Substitute
for 
and 0.85 for e.
Similarly, calculate for borrow pit B, C, and D and tabulate the values in Table (1).
using the formula. â¦â¦ (1)Here,
is specific gravity of soil solids, is unit weight of water, and e is void ratio.Substitute
for and 0.65 for e. â¦â¦ (2)Find the dry unit weight soil required for
compacted soil using Equation (2).Thus, the volume of soil to be excavated from borrow pit is
.Find the dry unit weight of soil for borrow pit A using Equation (1).
Substitute
for and 0.85 for e.Similarly, calculate for borrow pit B, C, and D and tabulate the values in Table (1).
Find the volume to be excavated (V) from the borrow pit A using the calculation.
Substitute
for 
.
Similarly, calculate for borrow pit B, C, and D and tabulate the values in Table (1).
Find the total cost for borrow pit A using the formula.
Substitute
for V and 9$ for cost.
Similarly, calculate for borrow pit B, C, and D and tabulate the values in Table (1).
Substitute
for .Similarly, calculate for borrow pit B, C, and D and tabulate the values in Table (1).
Find the total cost for borrow pit A using the formula.
Substitute
for V and 9$ for cost.Similarly, calculate for borrow pit B, C, and D and tabulate the values in Table (1).
Tabulate dry unit weight, volume, and total cost for borrow pit A, B, C, and D as in Table (1).
Thus, the 
soil should be bought to minimize the cost.
| Borrow pit | Void ratio (e) |  at borrow pit  |
 |
Cost  |
Total cost ($) |
| A | 0.85 |  |
3926.2 | 9 | 35,335.8 $ |
| B | 1.2 |  |
4665.7 | 6 | 27,994.2 $ |
| C | 0.95 |  |
4128.8 | 7 | 28,959 $ |
| D | 0.75 |  |
3709.3 | 10 | 37,093 $ |
soil should be bought to minimize the cost.Labels: Chegg, Free Chegg Answer, Q&A Engineering
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