4. The maximum and minimum dry unit weight of a sand were determined in the laboratory to be 104 lb/ft³ and 93 lb/ft³ , respectively. What would be the relative compaction in the field if the relative density is 78%? 5. A proposed embankment fill requires 8000 m³ of compacted soil. The void ratio of the compacted fill is specified as 0.7. Four borrow pits are available as described in the following table, which lists the respective void ratio 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.

Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN:9781305635180
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Braja M. Das, Nagaratnam Sivakugan
Chapter5: Soil Compaction
Section: Chapter Questions
Problem 5.5P
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1. Given Gs = 2.75, calculate the zero-air-void unit weight for a soil in lb/ft³ at w = 5%.
2. The result of a standard Proctor test are given below. Determine the maximum dry unit
weight of compaction and the optimum moisture content.
Volume of proctor mold Weight of wet soil in the mold
Moisture content (%)
(ft³)
(lb)
1/30
3.26
8.4
1/30
4.15
10.2
1/30
4.67
12.3
1/30
4.02
14.6
1/30
3.63
16.8
3. Repeat No. 2 with the following details.
Volume of proctor mold
(cm³)
Weight of wet soil in the mold
(kg)
Moisture content (%)
943.3
1.68
9.9
943.3
1.71
10.6
943.3
1.77
12.1
943.3
1.83
19.8
943.3
1.86
15.1
Transcribed Image Text:1. Given Gs = 2.75, calculate the zero-air-void unit weight for a soil in lb/ft³ at w = 5%. 2. The result of a standard Proctor test are given below. Determine the maximum dry unit weight of compaction and the optimum moisture content. Volume of proctor mold Weight of wet soil in the mold Moisture content (%) (ft³) (lb) 1/30 3.26 8.4 1/30 4.15 10.2 1/30 4.67 12.3 1/30 4.02 14.6 1/30 3.63 16.8 3. Repeat No. 2 with the following details. Volume of proctor mold (cm³) Weight of wet soil in the mold (kg) Moisture content (%) 943.3 1.68 9.9 943.3 1.71 10.6 943.3 1.77 12.1 943.3 1.83 19.8 943.3 1.86 15.1
943.3
1.88
17.4
943.3
1.87
19.4
943.3
1.85
21.2
4. The maximum and minimum dry unit weight of a sand were determined in the
laboratory to be 104 lb/ft³ and 93 lb/ft3 , respectively. What would be the relative
compaction in the field if the relative density is 78%?
5. A proposed embankment fill requires 8000 m³ of compacted soil. The void ratio of the
compacted fill is specified as 0.7. Four borrow pits are available as described in the
following table, which lists the respective void ratio 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 (Php / m³)
A
0.82
200
В
1.1
125
0.90
225
0.78
300
Transcribed Image Text:943.3 1.88 17.4 943.3 1.87 19.4 943.3 1.85 21.2 4. The maximum and minimum dry unit weight of a sand were determined in the laboratory to be 104 lb/ft³ and 93 lb/ft3 , respectively. What would be the relative compaction in the field if the relative density is 78%? 5. A proposed embankment fill requires 8000 m³ of compacted soil. The void ratio of the compacted fill is specified as 0.7. Four borrow pits are available as described in the following table, which lists the respective void ratio 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 (Php / m³) A 0.82 200 В 1.1 125 0.90 225 0.78 300
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