Mass-Haul Diagram

t e x t ha u l = t e x t v o l u m e t im es t e x t d i s t an ce q u a d t e x t o v er ha u l = L_{a v g} - L_{f r ee}

Mass diagram plots cumulative cut (+) / fill (−) vs station. Balance points where the curve returns to the previous extremum. Freehaul is the specified free distance; overhaul is pay beyond that, in station-yards or m³·stations.

$V$: Earth volume
$L_{free}$: Freehaul distance

Step-by-step solved example

1000 bcy hauled 800 ft; freehaul=500 ft. Overhaul station-yards? (1 sta=100 ft)

Haul volume × station distance; freehaul vs overhaul.

1. Overhaul distance
800−500=300 ft = 3.0 stations.
2. Pay
Overhaul=1000×3.0=3000 sta-yd.

Answer: 3000 station-yards

10 practice questions

0/10 correct

1.A rising mass curve is

2.Balance point is where

3.Freehaul is

4.Overhaul is paid on volume × extra distance beyond

5.A valley in the mass diagram (below a balance line) is

6.Waste is

7.Borrow is

8.Average haul for a mass loop is

9.Swell must be applied when

10.Stations on the x-axis are