Complete the earthwork calculation sheet here and plot the resulting mass diagra
ID: 2311159 • Letter: C
Question
Complete the earthwork calculation sheet here and plot the resulting mass diagram. Divide ccy by 0.9 to convert to bcy. Calculate the average haul (trapezoidal formula) for the balances on this project. Is this a waste or borrow project? 3.7 9 End- End- Vol. Vol. area area of of Strip Strip Total Total Adj cut fill cut ill cut fll cut fill 1 Mass fill Sum ordi- Station (st) (sf) (bcy) (ccy) (bcy) (ccy) (bcy) (ccy) (bey) (bcy) nate 0.90 10 00 11 +00 580 12 00 2,100 1300 4,650 14 +00 5,870 15+00 3,250 563 16+00 ,300 900 17 +00 700 2,450 18 00 19 + 00 20 00 21 00 200 1,310 22 00 580 1,100 23 00 1,620 260 24 00 2,480 25 00 994 100 100 80 85 0 100 90 80 80 0 7,200 0 4,160 0 1,980 80 100 100 100 10 10Explanation / Answer
Calculation of volume of cut
Vcut = ( ( Ac1+Ac2)/2) * (L/27)
Ac1 is cut area at 1st end
Ac2 is cut area at 2nd end
Calculation of volume of fill
Vfill = (( Af1+Af2)/2) * (L/27)
Af1 is fill area at 1st end
Af2 is fill area at 2nd end
Calculation for 11+00 station
Vcut = ((0+580)/2) * (100/27) = 1074.07
Vfill = ((0+0)/2) * ( 100/27) = 0
Total cut = Vcut - stripping cut = 1074.074-80 = 994.0741
Total fill = Vfill + stripping fill = 0+0 = 0
Adjusted fill = Total fill / 0.9 = 0/0.9 = 0
Algebraic sum = total cut - adjusted fill = 994.0741 - 0 = 994.0741
Mass ordinate = Mass ordinate of above station + algebraic sum of actual station = 0 + 994.074 = 994.074
19481.48
17+00
Station end cut area end fill area volume of cut volume of fill strip cut strip fill total cut total fill adj fill algebraic sum mean ordinate 10+00 0 0 0 0 0 0 0 0 0 0 0 11+00 580 0 1074.074 0 80 0 994.0741 0 0 994.0741 994.0741 12+00 2100 0 4962.963 0 90 0 4872.963 0 0 4872.963 5867.037037 13+00 4650 0 12500 0 100 0 12400 0 0 12400 17272.96296 14+00 5870 019481.48
1042.593 100 0 19381.48 1042.593 1158.436 18223.04527 30623.04527 15+00 3250 563 16888.89 2709.259 80 60 16808.89 2769.259 3076.955 13731.93416 31954.97942 16+00 1300 900 8425.926 6203.704 80 80 8345.926 6283.704 6981.893 1364.032922 -14962.674917+00
700 2450 3703.704 17870.37 80 85 3623.704 17955.37 19950.41 -16326.7078 -14962.6749 18+00 0 7200 1296.296 21037.04 0 100 1296.296 21137.04 23485.6 -22189.3004 -38516.00823 19+00 0 4160 0 11370.37 0 90 0 11460.37 12733.74 -12733.7449 -34923.04527 20+00 0 1980 0 6092.593 0 80 0 6172.593 6858.436 -6858.43621 -19592.18107 21+00 200 1310 370.3704 4462.963 0 80 370.3704 4542.963 5047.737 -4677.36626 -11535.80247 22+00 580 1100 1444.44 2518.519 80 10 1364.444 2528.519 2809.465 -1445.02058 -6122.386831 23+00 1620 260 4074.074 500 100 10 3974.074 510 566.6667 3407.407407 1962.386831 24+00 2480 10 7592.594 18.518 100 0 7492.593 18.51852 20.57613 7472.016461 10879.42387 25+00 994 0 6433.33 0 100 0 6333.333 0 0 6333.333 13805.34979