MASS HAUL DIAGRAM. Determination of eartworks volumes From all cross-sections (including the typical crosssection)

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1 MASS HAUL DIAGRAM Determnaton of eartworks volumes From all cross-sectons (ncludng the typcal crosssecton) Fnd total area of flls and cuts n each cross-secton usng CAD area functon or by the trapezod method below Dvde the area of one cross-secton (scale 1:100; the typcal cross-secton 1:50 watch out!!!) nto trapezods (rotated by 90 ) wth a heght of 1 m 1 cm n the crosssectons Consder areas separately (refer to fg. 0790): F... flls (wthout the pavement + ncludng humus layer removal) C... cuts (ncludng the pavement + wthout humus layer removal) fg (the dvson of cross-secton for determnaton of earthwork volumes) v... central base of -th trapezod z... heght of -th trapezod (z = 1m)

2 Area of -th trapezod: Fll area: b A F v a A A v v A v z 1 Cut area: d A C v a... frst fll trapezod n cross-secton b... last fll trapezod n cross-secton c... frst cut trapezod n cross-secton d... last cut trapezod n cross-secton beware of the typcal cross-secton gnore 1:50 scale AF (or AC) dvde by 4!!! c MASS ORDINATE CALCULATION j... cross-secton number AF,j [m 2 ]... area of cross-secton number j (part for fll) AC,j [m 2 ]... area of cross-secton number j (part for cut) lp,j/2 [m]... half of the mutual dstance between crosssectons j and j+1 EF [m 3 ]... fll earthworks volume between cross-sectons j and j+1 EC [m 3 ]... cut earthworks volume between cross-sectons j and j+1 SCj [m 3 ]... sde cast between cross-sectons j and j+1

3 Cj [m 3 ]... excessve cut between cross-sectons j and j+1 Fj [m 3 ]... lackng fll between cross-sectons j and j+1 Oj [m 3 ]... mass ordnate at place of cross-secton j Procedure for fllng and calculatng (for example refer to fg and see header n fg. 0800) fg (mass ordnate calculaton table) Column 1 cross-secton number j fll n for all cross-sectons (ncludng the typcal cross-secton) Column 2 chanage copy for all cross-sectons from the tabulated longtudnal profle

4 fg (mass ordnate calculaton table header) Column 3 fll area AF,j fll n and calculate for each cross-secton j accordng to the prncple n fg and usng the formula b A F v,j a... frst fll trapezod n cross-secton b... last fll trapezod n cross-secton Column 4 cut area AC,j fll n and calculate for each cross-secton j accordng to the prncple n fg and usng the formula a d A C v,j c c... fst cut trapezod n cross-secton d... last cut trapezod n cross-secton Column 5 sum of the areas (fll)... F,j F,j1 A A Column 6 sum of the areas (cut)... A C,j A C,j1 Column 7 half of the dstance of two cross-sectons lp,j/2 obtan from longtudnal profle (fg. 0610)

5 fg (longtudnal profle the lower part wth crosssecton markng) Column 8 earthwork volumes (fll EF,j ): lp,j A F,j A F,j1 EF,j 2 Column 9 earthwork volumes (cut EC,j ): lp,j A C,j A C,j1 EC,j 2 Column 10 sde cast... SCj = mn (EC,j; EF,j) Column 11 excessve cut... Cj = EC,j SCj Column 12 lackng fll... Fj = EF,j SCj Column 13 or 14 mass ordnate quantfy for each cross-secton j : O1 = 0 Oj = Oj-1 + Cj-1 Fj-1

6 MASS HAUL DIAGRAM PLOTTING Prefer computer or graph paper (cover entre A4) plot the axs (fg. 0810): horzontal (nto the mddle) chanage [km] vertcal (to both sdes) mass ordnate Oj [m 3 ] (choose scale so extremes Oj ft both postve and negatve nto the A4 sze page) fg (mass haul dagram example of plot) plot ponts wth coordnates [cross-secton chanage j ; Oj] connect ponts wth lnes accordng to the chanage establsh equalzng lnes (,,, ) and ther axs (accordng to the example n fg. 0810)

7 1. part supply branch:... pont O1... pont O4 L1-2 [m]... measure t Q1-2 = O4 O1 [m 3 ] 2. part consumpton branch:... pont O1... pont O9 L1-3 [m]... measure (L 1-3) + and add about 500m for the arrval from the borrow pt Q1-3 = O1 O9 [m 3 ] 3. part supply branch:... pont O9... pont O6 L3-4 [m]... measure t Q3-4 = O6 O9 [m 3 ] Determnaton of average haul dstance: Q L L m avg f supply branch accumulates (growng ordnate) remanng sol goes nto fnal depost f consumpton branch spends (decreasng ordnate) mssng sol s obtaned from borrow pt dstance of fnal depost / borrow pt s about 500 m from any end of the road Q

8 COMPLETION TECHNICAL REPORT descrpton of the desgn process desgn categores + wdth arrangement (a, v, c, e) all calculatons pavement constructon locaton and length of culverts, crash barrers, paved trenches etc. TABLE OF ANNEXES on the nner sde of paper folder wth flaps refer to fg fg (table of annexes on the nner sde of paper folder)