Highway Engineering CE 431 Mass Diagram Eng. Ali Mohammed Babalghaith

The Mass Diagram: The mass-Haul diagram is a graphical representation of the amount of earthworks involved in a highway. It shows accumulated volume at any point along the center line. (+) cut (excavation). ( - ) fill (embankment). Profile Mass diagram

Road way Fill Earth Cut Fill and Cut

Definitions: Free-Haul Distance (FHD): distance earth is moved without additional money Over-Haul Distance (OHD) : volume of material (Y) moved X Stations beyond Freehaul Limit of Economical Haul Distance (LEHD): Borrow – material take from outside of project Waste – excavated material not used in project Y X

Limit of Economical Haul Distance (LEHD): Free-Haul Distance Economic Haul Limit (LEHD) = FHD + L

Shrinkage and Swell

Example:- Given the end areas below, calculate the volumes of cut and fill between stations 351+00 and 352+50. how much excess cut or fill is there? 57.93 m2 1 351+00 cut Fill

Example:- Given the end areas below, calculate the volumes of cut and fill between stations 351+00 and 352+50., how much excess cut or fill is there? 52.28m2 2 351+50 cut Fill

Example:- Given the end areas below, calculate the volumes of cut and fill between stations 351+00 and 352+50., how much excess cut or fill is there? 23.58 m2 3 351+75 cut Fill

Example:- Given the end areas below, calculate the volumes of cut and fill between stations 351+00 and 352+50., how much excess cut or fill is there? 8.4 m2 3.73 m2 4 cut Fill 352+00

Example:- Given the end areas below, calculate the volumes of cut and fill between stations 351+00 and 352+50., how much excess cut or fill is there? 13.8 m2 5 cut Fill 352+14

Example:- Given the end areas below, calculate the volumes of cut and fill between stations 351+00 and 352+50., how much cut or fill is there? 33.34 m2 6 cut Fill 352+50

Solution :