Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 5, Problem 5.9P
To determine
Select the pit from which the soil should be bought to minimize the cost.
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Problem 3:
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.
Borrow pit
Void ratio
G,
Cost ($/m³)
I
0.85
2.66
11
II
0.92
2.69
8
III
1.21
2.71
9.
IV
0.89
2.73
10
A proposed embankment fill requires 7500 m3 of compacted soil. The void ratio of thecompacted fill is specified as 0.7. Soil can be transported from one of the four borrowpits, as described in the following table. The void ratio, specific gravity of soil solids,and the cost per cubic meter for moving the soil to the proposed construction site areprovided in the table.a. Determine the volume of each borrow pit soil required to meet the specification ofthe embankment site.b. Make the necessary calculations to select the borrow pit which would be most costeffective.
A proposed earth embankment requires 50,000 cubic meters of soil. The soil will be compacted to a void ratio of 0.75 when it is placed in the embankment. There are four available borrow pits, designated A, B, C, and D. The void ratio of the soil in each pit and the cost per cubic meter for moving the soil to the proposed construction site are shown as follows:
Determine which borrow pit is the most economical.
Chapter 5 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- A proposed earth embankment requires 60,000 cubic meters of soil. The soil will be compacted to a void ratio of 0.85. Two borrow pits designated as A and B are available near the site. The void ratio of the soil in each pit and the estimated cost per cubic meter for moving the soil to the site are as shown below. Pit Void Ratio Cost ($/m3) A 1.10 5.00 B 1.80 3.70 Which will have the lowest cost to move and be the most economical to use?arrow_forward30. The proposed embankment fill requires 8000m³of compacted soil. The void ratio of the compacted fill is specified as 0.70. Four borrow pits are available as described in the following table, which list the respective void ratios of the soil and the cost per cubic meter for moving the soil to the proposed construction site. Assume that the specific gravity is the same at all pits, which among the pits should be bought to minimize the cost? Borrow Pit Void Ratio Cost (P/m³) A 0.82 400 B 0.9 450 1.1 250 D 0.78 600arrow_forwardA 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 spec- ification of the embankment site. b. Make the necessary calculations to select the borrow pit which would be most cost-effective. Borrow pit Void ratio GS Cost ($/m³) I 0.85 2.66 11 II 0.92 2.69 III 1.21 2.71 9 IV 0.89 2.73 10 Qarrow_forward
- Problem 11. The proposed embankment fill requires 8000m of compacted soil. The void ratio of the compacted fill is specified as 0.70. Four borrow pits are available as described in the following table, which list the respective void ratios of the soil and the cost per cubic meter for moving the soil to the proposed construction site. Assume that the specific gravity is the same at all pits, which among the pits should be bought to minimize the cost? Void Ratio Cost (P/m3) Borrow Pit A 0.82 400 0.9 450 1.1 250 D 0.78 600arrow_forwardSuppose that you are a Project Engineer on a Dam project. The volume of soil required at the dame site is Vd=100,000m3. The final void ratio (ed) is 0.80. Your boss, the Project Manager delegates to you the important decision of buying the earth fill from one of three suppliers. • Supplier X sells fill at OMR. 0.200/m3 with e = 0.90• Supplier Y sells fill at OMR. 0.120/m3 with e = 2.00• Supplier Z sells fill at OMR. 0.150/m3 with e = 1.60Evaluate and select the best supplier based on your knowledge about soil compaction.arrow_forwardAn earth dam requires 1 million cu.m. of soil compacted to a void ratio of 0.80. In the vicinity of the proposed dam, three borrow pits were identified as having suitable materials. The cost of purchasing the soil and the cost of excavation are the same for each borrow pit. The only cost difference is transportation cost. The table below provides the void ratio and the transportation cost for each borrow pit. PLEASE COMPLETE SOLUTION 1. Compute the volume of soil if taken from borrow pit C.2. Compute the transportation cost of the soil if taken from borrow pit B.3. Which borrow pit would be the most economical?arrow_forward
- A proposed embankment fill requires 8000 ?3 of compacted soil. The void ratio of the compacted fill is specified as 0.70. Four borrow pits are available as described in the table which list the respective void ratios of the soil and cost per cubic meter for moving the soil to the proposed construction site. Make necessary calculations to select pit from which the soils should be bought to minimize the cost. Assume specific gravity to be the same at all pits.arrow_forwardA proposed earth embankment requires 50,000 cubic meters of soil. The soil will be compacted to a void ratio of 0.75 when it is placed in the embankment. There are four available borrow pits, designated A, B, C, and D. The void ratio of the soil in each pit and the cost per cubic meter for moving the soil to the proposed construction site are shown as follows: Borrow Pit Void Ratio Cost (PhP/m³) A 0.85 450 1.90 250 C 0.95 350 0.70 550 Determine which borrow pit is the most economical.arrow_forwardA proposed earth fill for a construction of a US highway requires 371,000 cubic feet of soil. The soil will be compacted to a void ratio of 0.75 when it will be placed on the fill. There are 5 borrow pits (see table below). Which barrow pit will have the highest volume of soil for the project and what is the volume in cubic meters? Which borrow pit will provide the least cost, and how much is it?arrow_forward
- A borrow pit’s soil is being used as earth fill at a construction project. The in-place dry density of the borrow pit soil is known to be 1,825 kg/m3. The job contract requires the soil at the construction site to be compacted to adry density of 1,975 kg/m3. The project requires 12,000 m3 of compacted soil fill. What volume of soil will the earthmoving contractor be required to obtain from the borrow pit to provide the necessary volume of compacted fill?arrow_forward13. An earth dam requires one million cubic meter of soil compacted to a void ratio of 0.8. In the vicinity of the proposed dam, three borrow pits were identified as having suitable materials. The cost of purchasing the soil and the cost of excavation are the same for each borrow pit. The only difference of the cost for each borrow pit is the cost of transportation. a. Borrow pit No. 1 2 3 Void Ratio Which borrow borrow economical? 1.8 0.9 1.5 Transportation Cost ($/m³) 0.6 1 0.75 pit pit would be would be the mostarrow_forwardProblem 2: A proposcd embankment fill requires 5000 cu.m. of compacted soil. The void ratio of the compacted fill is specified as 0.70. Four borrow pits are available, as described in the following table, which lists the respective void ratios of the soil and the cost per cu.m. for moving the soil to the proposed construction site. Borrow Pit Void Ratio Transportation Cost (Pesos /m²) A 0.85 P 800.00 / m³ B 1.20 P 650.00 / m3 0.95 P 750.00 / m³ D 0.75 P 950.00 / m³ 1. What is the cost for borrow pit A? 2. What is the cost for borrow pit B? 3. Select the pit from which the soil should be bought to minimize the cost. Assume Gs to be the same at all pits.arrow_forward
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