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
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
| Symbol | Meaning | Unit |
|---|---|---|
v | Volume you know | m³ |
st | Which volume is it? | — |
sw | Swell when dug | % |
sh | Shrinkage when compacted | % |
tc | Capacity of one load | m³ |
LV | Loose (as dug) | m³ |
BK | In the ground (bank volume) | m³ |
CV | Compacted in the fill | m³ |
LD | Truck 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.