1. Highway Engineering CE 431
Mass Diagram
Eng. Ali Mohammed Babalghaith

2. 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

3. Road way
Fill
Earth
Cut
Fill and Cut

4. 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

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

6. Shrinkage and Swell

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

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

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

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

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

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

13. Solution :