(Solved Homework): STUDY THE CHART ABOVE IN GREAT DETAIL IT IS A PORTION OF THE…

HOMEWORK 2-EARTHWORK 10 StationEnd Area End Area Volume Cut Volume Fill Stripping Stripping Total Cut Tota Adjust Algebraic Mass Cut (sf) (sf (ccy) Cut (bcy) (ccy)Fill (bcy) Sum Ordinate (bcy) ccy) (bcy) 0 3,631 -3,631-3,631 0.9 0+00 1+00 2+00 3+00 4+00 5+00 6+00 1,300 7+00 2,400 8+00 9+00 10+00 0 3,268 9,009 10,010 10,010 13,641 8,639 3,969 1,541 1,700 3,100 1,500 120 120 120 0 3,148 8,889 8,519 3,889 1,481 426 796 0 9,599 -9,599-23,240 4,410 -4,359-27,599 940 852 3,148 6,852 400 772 1,712 28,539 200 30 110 120 3,038 6,732 2,554 -25,986 5,753 -20,233 10 85 100 120 10 436 881 484 979 5,836 2,415 2,683 3,153 17,080 4,454 5,926 2,315 1,2501,5743,889 850 800 50 95 1,569 249 4,009 2,658 2,885 -19,965 2,953-2,704 22,670 180 269 2,648 20 STUDY THE CHART ABOVE IN GREAT DETAIL. IT IS A PORTION OF THE MASS DIAGRAM SHOWN IN TABLE 3.3 OF THE TEXT Note: bcy = Bank Cubic Yards. It is the volume of material as it lies in place with no work having been done to it. ccy Compacted Cubic Yards. Where compacted fill is required, the volume mathmatically is still a cubic yard, but the soil brought to fill the area undergoes compaction. Since bank material is rarely as consolidated as we need structural/engineered fill to be, it takes more 1 cy of bank material to make 1 cy of fill. Bank material will shrink, so in the case of this example, you need to divide fill by .90 to get adjusted fill quantity. Give this some thought. For the purposes of the following 5 questions on this homework, at Station 4+00, lets change the End Area Fill (sy) to 1,000 sf Now, what are the answers to the following questions for the revised Station 4+00? 1. Total Fill ccy? 2. Adjusted Fill bcy? 3. Algebraic Sum bcy) 4. Mass Ordinate? 5. What is the primary purpose of the Mass Diagram?

STUDY THE CHART ABOVE IN GREAT DETAIL IT IS A PORTION OF THE MASS DIAGRAM SHOWN IN TABLE 3.3 OF THE TEXT For the purposes of the following 5 questions on this homework, at Station 4+00, let’s change the “End Area Fill (sy) to 1,000 sf. Now, what are the answers to the following questions for the revised Station 4+00? 1. Total Fill ccy? 2. Adjusted Fill bcy? 3. Algebraic Sum bcy) 4. Mass Ordinate? 5. What is the primary purpose of the Mass Diagram?

Expert Answer

The change at Station 4+00 is:

End Area Fill = 1,000 sf.

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Let us start calculating the revised values for Station 4+00 with the new value of End Area Fill i.e. 1,000 sf.

1. Station 4+00

2. End Area Cut (sf) = 60 sf [Same as existing condition, no change]

3. End Area Fill (sf) = 1,000 sf [Changed from existing condition, earlier it was 600 sf]

4. Volume Cut (bcy) = (Average Area Cut between Stations)*(Distance Between Stations)

= (Average Area Cut between Station 4+00 & 3+00)*(Distance between Station 4+00 & 3+00)

= [(60+0)/2] sf * (400-300) f = 3,000 cf = 3,000/27 cy = 111 cy [Same as existing condition]

[1 Cubic Yard (cy) = 27 Cubic Feet (cf); hence accordingly conversion has been done in the above step.

5. Volume Fill (ccy) = (Average Area Fill between Stations)*(Distance Between Stations)

= (Average Area Fill between Station 4+00 & 3+00)*(Distance between Station 4+00 & 3+00)

= [(1000+1500)/2] sf * (400-300) f = 1,25,000 cf = 1,25,000/27 cy = 4,630 cy [new value for ccy]

[1 Cubic Yard (cy) = 27 Cubic Feet (cf); hence accordingly conversion has been done in the above step.

6. Stripping Cut (bcy) = 60 [Same as existing condition]

7. Stripping Fill (ccy) = 80 [Same as existing condition]

8. Total Cut (bcy) = Volume Cut – Stripping Cut = 111 – 60 = 51 [Same as existing condition]

9. Total Fill (ccy) = Volume Fill + Stripping Fill = 4,630 + 80 = 4,710 [New Value for Total Fill ccy –> Answer for Q. 1]

10. Adjust Fill (bcy) = Total Fill (ccy)/Shrinkage Factor = 4710/0.9 = 5,233 bcy [Answer for Q. 2]

11. Algebric Sum (bcy) = Total Cut (bcy) – Adjusted Fill (bcy) = (51 – 5233) = -5,182 bcy [Answer for Q. 3]

12. Mass Ordinate at Current Station = Mass Ordinate at previous station + Algebric Sum at Current Station

= -23,240 + (-5,182) = -28,422 [Answer for Q. 4]

Hence, the final answers are:

1. Total Fill ccy = 4,710

2. Adjusted Fill bcy = 5,233

3. Algebric Sum bcy = -5,182

4. Mass Ordinate = -28,422

5. Primary Purpose of Mass Diagram –> Mass diagrams are used to determine the quantity of material moved and how far it can be moved. A mass diagram is a plot or graphical representation of the cumulative of Total Cut Volume & Total Fill Volume along an alignment. It also tells us about average haul, free haul and overhaul on a given segment of road.

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