Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Chapter 6, Problem 6.11P
(a)
To determine
Find the volumes of each borrow pit soil required to meet the specification of the embankment site.
(b)
To determine
Find the most cost effective borrow pit.
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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 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
Q
A proposed embankment fill required 8000 m3 of compacted soil. The void ratio of the compacted fill is specified to be 0.6. Four available borrow pits are shown below along with the 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 brought to minimize the cost. Assume Gs to be the same for all borrow-pit soil.
Chapter 6 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
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- 30. 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 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.arrow_forwardProblem 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_forward
- 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_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 embankment fill requires 5000 m² of compacted soil. The specification requires dry unit weight of 18 kN/m, the specific gravity of soil is 2.70. Four borrow pits are available, as described in the following table, which lists the properties of the soil and the cost per m for moving the soil to the proposed construction site. Assume the specific gravity of the soil is 2.70 in each borrow pit. Borrow Pit Unit Weight (kN/m³) Moisture Content (%) Cost (Pesos/m') A 15.8922 11 855 B 13.2435 15 645 17.658 20 765 20.3067 15 945 13. Which of the following borrow pit will give the lowest cost for the embankment (indicate the amount)? Example Format: A -5 000 000arrow_forward
- The sieve analysis data for a granular soil are given below. • % passing 76.2 mm sieve = 98 • % passing 4.75 mm sieve = 63 • % passing 0.075 mm sieve = 16 What would be the percentage of gravel by the AASHTO classification system? Answer:arrow_forwardA proposed earthen dam will contain 5,000,000 m3of earth. Soil to be taken from a borrow pit will becompacted to a void ratio of 0.78. The void ratio ofsoil in the borrow pit is 1.12. Estimate the volume ofsoil that must be excavated from the borrow pit. Include phase diagrams.arrow_forwardStandard proctor compaction test results on a sandy clay (35% sand, 55% clay, and 10% silt), taken from a borrow pit, are given in the following table. The sandy clay in the borrow pit has a porosity of 65% and a water content of 5.2%. A highway embankment is to be constructed using this soil. (a) Specify the compaction (dry unit weight and water content) to be achieved in the field. Justify your specification. (b) How many cubic meters of borrow pit soil are needed for 1 cubic meter of highway fill? (c) How much water per unit volume is required to meet the specification? (d) How many truckloads of soil will be required for a 100,000 m3 highway embankment? Each truck has a load capacity of 22.5 m3 and regulations required a maximum load capacity of 90%. (e) Determine the cost for 100,000 m3 of compacted soil based on the following: Purchase and load borrow pit material at site, haul 2 km round-trip, and spread with 200 HP dozer = $15/m3; extra mileage charge for each km =…arrow_forward
- An 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_forwardA 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_forwardYour company has won a contract to provide and compact the fill material for an earth levee (an embankment built to prevent overflow of a river), with the dimensions shown below. The levee fill is a silty clay soil to be compacted to atleast 95.1% of maximum standard Proctor of dry unit weight= 109lb/cu.ft at an OMC of 18.6%. Your borrow pit has a silty clay with an in-situ moist density of 112.6lb/cu.ft at 18.1% water content and a Gs = 2.679. When the soil is excavated and loaded on to your trucks, the void ratio of the material is e = 1.46. Your trucks can haul 401 cu.ft of material per trip. DETERMINE THE FF AND SHOW COMPELETE SOLUTION. ALL FINAL ANSWER WILL BE IN 3 DECIMAL PLACES. 1. Determine the volume of fill required for the levee in cu.ft 2. Determine the volume required from the borrow pit in cu.ft 3. Determine the required number of truck loads.arrow_forward
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