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MASS HAUL DIAGRAM tutorial 3 PREPARED BY : KMASZ
[object Object],Chainage , m Cut volume (m 3 ) Fill volume  (m 3 ) (+ 10 % shrinkage) Corrected volume (+) CUT (-) FILL  Cumulative volumes,m 3 0   100 290 200 760 300 1680 400 620 480 120 500   20 600   110 700   350 800   600 900   780 1000   690 1100   400 1200   120 0 0 290 290 760 1050 1680 2730 620 3350 120 3470 -20 3450 -110 3340 -350 2990 -600 2390 -780 1610 -690 920 -400 520 -120 400 + +
[object Object],Chainage (m) Volume of cutt (m 3 ) Volume of fill (m 3 ) Shrinkage volume (20%)  Shrinkage volume corrected  Corrected volume  Cumulative volume (m 3 ) (1) (2) (3) (4) (5)= (3)+(4)  ,[object Object],[object Object],0         50 13000       100 22500       250 7500       300   4375  350   13646 400   16979 450 30500       500 93250       550 163250       600 229500       875.0 2729.2 3395.8 5250 16375 20375 0 13000 22500 7500 -5250 -16375 -20375 30500 93250 163250 229500 0 13000 35500 43000 37750 21375 1000 31500 124750 288000 517500
From the data, draw a mass –haul diagram using the scale below: X axis : 1 cm = 100 m Y axis: 1 cm = 250 m 3 Agregate volume for setting out circular curves proposed as  follows: ,[object Object],Estimate of freehaul, haul and overhaul. Chainage , m Cumulative volumes,m 3 0 0 100 290 200 1050 300 2730 400 3350 480 3470 500 3450 600 3340 700 2990 800 2390 900 1610 1000 920 1100 520 1200 400 ,[object Object],[object Object],[object Object],[object Object]
Cumulative volume m 3 Chainage ,m Draw a MHD using the scale below: X axis : 1 cm = 100 m Y axis: 1 cm = 250 m 3 X axis : 1 cm = 100 m Y axis: 1 cm = 250 m 3 STEP 1
[object Object],[object Object],[object Object],Cumulative volume m 3 Chainage ,m Measuring  freehaul line = 6 cm Freehaul line Balance line 400m 3  Cumulative volume 6 cm STEP 2
Freehaul volume = 6cm x 250 m 3 = 1500 m 3 Freehaul distance = 600m (given) Axis y; Measurement  line = 6 cm Freehaul =  Freehaul volume  x freehaul distance  stn.m 100  Freehaul =  1500 x 600  = 9000 stn.m 100  Axis x; Measurement  line = 6 cm Freehaul distance = 6cm x 100 m = 600 m Cumulative volume m 3 Chainage ,m E F 480 m – max point STEP 3 –  determine free haul
Axis y; Measurement  line AB = 12.3 cm Haul volume = 12.3cm x 250 m 3 = 3075 m 3 Axis x; Measurement  line EF = 6.1 cm How to determine average haul distance??? Average haul distance =  Line AB /2 =  12.3 / 2 = 6.15 A B At the point line parallel with axis-x =  Line EF  Average haul distance = 6.1 cm x 100 m = 610 m Haul =  Haul volume  x  average haul distance  stn.m 100  Haul =  3075 x  610  = 18757.5 stn.m 100  Chainage ,m Cumulative volume m 3 E F 480 m – max point STEP 4 –  determine haul
Axis y; Measurement  line AB = 6.3 cm Overhaul volume = 6.3cm x 250 m 3 = 1575 m 3 How to determine average over haul distance??? Average overhaul distance =  Line AB /2 =  6.3 / 2 = 3.15 At the point line parallel with axis-x =  Line EF  A B Axis x; Measurement  line EF = 7.5 cm Average overhaul distance = 7.5 cm x 100 m = 750 m Overhaul =  Overhaul volume (average overhaul distance – freehaul distance)  stn.m 100  Overhaul =  1575 (750 – 600)  =  2362.5 stn.m 100  STEP 5 –  determine overhaul Chainage ,m Cumulative volume m 3 E F 480 m – max point
[object Object],Cumulative volume m 3 Chainage ,m Distance HAUL 5.6cm X 50 = 280m FREEHAUL 4 cm x 50 = 200m OVERHAUL 6 cm x 50 = 300m Volume HAUL 4.4cm  x 10000 44000m 3 FREEHAUL 0.8 cm x 10000 8000m 3 OVERHAUL 3.6 cm x 10000 36000m 3 WASTE 13 cm x 10000 130000m 3 HAUL 44000 x 280 100 123200  Stn. m FREEHAUL 8000 x 200 100 16000 Stn. m OVERHAUL 36000 x (300-200) 100 36000 Stn. m
[object Object],Cumulative volume m 3 Chainage ,m Distance FREEHAUL 4 cm x 50 200 m OVERHAUL 4.9 cm x 50 245 m FREEHAUL 4 cm x 50 200 m OVERHAUL 7.2 cm x 50 360 m Volume FREEHAUL 4.4 cm x 5000 22 000m 3 OVERHAUL 3.6 cm x 5000 18 000m 3 FREEHAUL 2 cm x 5000 10 000m 3 OVERHAUL 4.3 cm x 5000 21 500m 3 BORROW 4.5 cm x 5000 22 500m 3
TOTAL COST OF EARTHWORK Freehaul prices in freehaul distance  =  freehaul volume  x  freehaul distance  x freehaul prices = (22 000 + 10 000) x 200 x  RM1.25/200 = RM 40 000 Overhaul prices in freehaul distance  =  overhaul volume   x  freehaul distance  x freehaul prices = (18 000 + 21 500)  x 200 x  RM1.25/200 = RM 49 375 Overhaul prices in overhaul distance  =  overhaul volume  x ( average overhaul distance – freehaul distance ) x overhaul prices = [(18 000 x (245 – 200) x (RM1.25 + RM0.40)/100) +  (21 500x (360 – 200) x  (RM1.25 + RM0.40)/100)] =RM 70 125 Borrow prices =  borrow volume  x borrow prices = 22500 x RM 0.75  = RM 16 875 TOTAL COST OF EARTHWORK  = RM 176 375

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Tutorial MHD

  • 1. MASS HAUL DIAGRAM tutorial 3 PREPARED BY : KMASZ
  • 2.
  • 3.
  • 4.
  • 5. Cumulative volume m 3 Chainage ,m Draw a MHD using the scale below: X axis : 1 cm = 100 m Y axis: 1 cm = 250 m 3 X axis : 1 cm = 100 m Y axis: 1 cm = 250 m 3 STEP 1
  • 6.
  • 7. Freehaul volume = 6cm x 250 m 3 = 1500 m 3 Freehaul distance = 600m (given) Axis y; Measurement line = 6 cm Freehaul = Freehaul volume x freehaul distance stn.m 100 Freehaul = 1500 x 600 = 9000 stn.m 100 Axis x; Measurement line = 6 cm Freehaul distance = 6cm x 100 m = 600 m Cumulative volume m 3 Chainage ,m E F 480 m – max point STEP 3 – determine free haul
  • 8. Axis y; Measurement line AB = 12.3 cm Haul volume = 12.3cm x 250 m 3 = 3075 m 3 Axis x; Measurement line EF = 6.1 cm How to determine average haul distance??? Average haul distance = Line AB /2 = 12.3 / 2 = 6.15 A B At the point line parallel with axis-x = Line EF Average haul distance = 6.1 cm x 100 m = 610 m Haul = Haul volume x average haul distance stn.m 100 Haul = 3075 x 610 = 18757.5 stn.m 100 Chainage ,m Cumulative volume m 3 E F 480 m – max point STEP 4 – determine haul
  • 9. Axis y; Measurement line AB = 6.3 cm Overhaul volume = 6.3cm x 250 m 3 = 1575 m 3 How to determine average over haul distance??? Average overhaul distance = Line AB /2 = 6.3 / 2 = 3.15 At the point line parallel with axis-x = Line EF A B Axis x; Measurement line EF = 7.5 cm Average overhaul distance = 7.5 cm x 100 m = 750 m Overhaul = Overhaul volume (average overhaul distance – freehaul distance) stn.m 100 Overhaul = 1575 (750 – 600) = 2362.5 stn.m 100 STEP 5 – determine overhaul Chainage ,m Cumulative volume m 3 E F 480 m – max point
  • 10.
  • 11.
  • 12. TOTAL COST OF EARTHWORK Freehaul prices in freehaul distance = freehaul volume x freehaul distance x freehaul prices = (22 000 + 10 000) x 200 x RM1.25/200 = RM 40 000 Overhaul prices in freehaul distance = overhaul volume x freehaul distance x freehaul prices = (18 000 + 21 500) x 200 x RM1.25/200 = RM 49 375 Overhaul prices in overhaul distance = overhaul volume x ( average overhaul distance – freehaul distance ) x overhaul prices = [(18 000 x (245 – 200) x (RM1.25 + RM0.40)/100) + (21 500x (360 – 200) x (RM1.25 + RM0.40)/100)] =RM 70 125 Borrow prices = borrow volume x borrow prices = 22500 x RM 0.75 = RM 16 875 TOTAL COST OF EARTHWORK = RM 176 375