Paritian

Construction & DIY

Soil Swell and Shrinkage Calculator (Bank, Loose and Compacted Volume)

Convert a volume of soil between in the ground, loose as dug and compacted in a fill, from the swell and shrinkage percentages, and count the truck loads.

Results

Loose (as dug) 125.0 m³
In the ground (bank volume) 100.0 m³
Compacted in the fill 90.0 m³
Truck loads of loose material 13

What this tool does

Soil does not keep its volume when it is moved. Dug up, it fluffs up, or swells: a cubic metre in the ground (bank volume) may become 1.25 m³ in the truck. Spread and compacted in a fill, it can end up smaller than it was in the ground. Published tables often give swell of roughly 10-15 % for sand and gravel, around 25 % for common earth, 30-40 % or more for clay and 50 % or more for blasted rock, but the real figure depends on the soil and the moisture, so use values from your geotechnical report where you have them. Haulage is paid and counted in loose volume.

Formula

loose = bank × (1 + swell) · compacted = bank × (1 − shrinkage) · loads = ⌈loose ÷ truck capacity⌉

Variables

SymbolMeaningUnit
vVolume you knowm³
stWhich volume is it?—
swSwell when dug%
shShrinkage when compacted%
tcCapacity of one loadm³
LVLoose (as dug)m³
BKIn the ground (bank volume)m³
CVCompacted in the fillm³
LDTruck loads of loose material—

Worked example

  • Volume you know100 m³
  • Which volume is it?1
  • Swell when dug25 %
  • Shrinkage when compacted10 %
  • Capacity of one load10 m³
  • Loose (as dug)125.0 m³
  • In the ground (bank volume)100.0 m³
  • Compacted in the fill90.0 m³
  • Truck loads of loose material13

Limitations

  • The result is an estimate based only on the values you type. Real situations often include factors this calculator does not know about.
  • The default values are typical reference figures, not measurements of your situation. Replace them with your own data whenever you have it.