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Earthwork Mass Haul Calculator

Calculate mass haul diagram quantities: cumulative cut/fill volumes, freehaul and overhaul volumes, balance points, average haul distance, and haul cost.

Earthwork & Excavation Site engineers, highway engineers, quantity surveyors Commercial Intent: HIGH

Engineering Formulas

Station Volume (Avg End Area)

V = 0.5 × (A₁ + A₂) × L
where A₁, A₂ = areas at consecutive stations

V: Volume between stations (m³)

A₁, A₂: End areas (m²)

L: Station spacing (m)

Adjusted Fill Volume

Vfilladj = Vfill × (SF / SHF)
where SF = swell factor, SHF = shrinkage factor

V_fill_adj: Adjusted fill volume (m³)

SF: Swell factor

SHF: Shrinkage factor

Mass Haul Diagram

Cumulative Net = Σ(Cut - Adjusted Fill)
Balance points where cumulative net = 0

Cumulative Net: Running total of net volume (m³)

Haul Cost

Total Cost = (Freehaul Vol × Haul Rate) + (Overhaul Vol × Overhaul Rate × Avg Overhaul Dist)

Total Cost: Total earthmoving haul cost

Overhaul Vol: Volume moved beyond freehaul distance (m³)

Worked Example

Mass Haul for Highway Section (5 stations)

numStations: 5chainageStart: 0chainageInterval: 50cutArea1: 0fillArea1: 8.5cutArea2: 3.2fillArea2: 6.1cutArea3: 7.8fillArea3: 2.4cutArea4: 12.5fillArea4: 0cutArea5: 5.4fillArea5: 3.8swellFactor: 1.25shrinkageFactor: 0.9freehaulDistance: 150haulRate: 50overhaulRate: 5

Station Volumes

Avg end area method applied between each station pair

Cut Total

Cut = 583 m³ (bank volume)

Fill Total

Fill = 500 m³ → Adjusted = 694 m³

Net

Net = 583 - 694 = -111 m³ (borrow required)

Haul Cost

Freehaul = 150 m³, Overhaul = 544 m³ × 5 = ₹2,720

Result: Total cut = 583 m³, adjusted fill = 694 m³ → net borrow = 111 m³. Total haul cost = ₹10,470. Average haul distance = 52 m.

Engineering Notes

Optimize earthwork by adjusting the vertical alignment (grade line) to balance cut and fill.

For large projects, split the mass haul diagram into segments between balance points for independent analysis.

Consider waste/borrow costs if the project has net surplus or deficit after balancing.

The average haul distance from the centroid of the mass haul diagram gives the transport cost center.

Use computerized mass haul analysis for complex alignments with many stations.

Assumptions

• Linear variation of areas between stations (average end area method)

• Swell and shrinkage factors are constant across all material types

• Freehaul distance includes haul in both directions along the alignment

• Balance points determined by linear interpolation between stations

• Haul costs are linear with distance (no economies of scale)

Common Mistakes

✕ Forgetting to apply swell/shrinkage factors to fill volumes (comparing bank cut to compacted fill directly)

✕ Using cut area where fill area is needed (net volume sign convention errors)

✕ Assuming freehaul distance includes all earthwork within project limits

✕ Not identifying balance points correctly on the mass haul curve

✕ Confusing cumulative volume with station-by-station volumes

Frequently Asked Questions

What is a mass haul diagram?

A mass haul diagram is a graph of cumulative cut (+) and fill (-) volume plotted against chainage. It shows material surplus/deficit along the alignment and helps optimize earthwork distribution.

What is freehaul distance?

Freehaul distance is the distance over which excavated material can be moved without additional cost beyond the base excavation rate. Typical freehaul distances range from 150–300 m.

What is overhaul?

Overhaul is the volume of material that must be hauled beyond the freehaul distance. It incurs an additional cost per cubic meter per station (usually 100 m units).

How are balance points determined?

Balance points occur where the cumulative volume curve crosses zero (cumulative cut equals cumulative fill). Between balance points, cut and fill are in balance within that segment.

What is a typical swell factor for earth?

Common earth swell factor: 1.20–1.30 (20–30% increase). Sand: 1.10–1.15, clay: 1.25–1.35, rock: 1.40–1.60. The factor depends on soil density and moisture.

What is the difference between swell and shrinkage?

Swell refers to volume increase when soil is excavated from its natural state. Shrinkage (or compaction factor) refers to volume reduction when soil is compacted as fill. Both are relative to bank (in-situ) volume.

How is average haul distance calculated?

Average haul distance is the weighted average distance material is moved, calculated as the moment (volume × distance) divided by total volume. It is estimated from the mass haul diagram.

What is the economic limit of haul?

The economic limit of haul is the distance beyond which it becomes cheaper to borrow material than to haul from a cut section. It depends on haul cost vs. borrow and waste disposal costs.