Shrinkage: Compacted Volume from Bank Volume
Worked example: 800 bank yd³ at 12 % shrinkage → 704 compacted yd³. Press Try an example to run it live, then adjust anything.
Enter your known values, leave one input blank, and solves for the missing one. Tap a variable’s symbol to see what it means, with a typical value. Change any unit and the answer follows.
Where Shrinkage: Compacted Volume from Bank Volume fits
- Earthwork volumes5 formulas
See also
Swell: Loose Volume from Bank Volume: Both use bank volume.Truck Loads from Bank Volume and Swell: Both use bank volume.Swell and shrink →
UniversityApplied Field Engineering
Test your skills in the Exam Room: new numbers every attempt. Free lessons for students, no sign-up, just pure learning.
Shrinkage: Compacted Volume from Bank Volume explained
Shrinkage is swell's mirror image and it is the one that costs money. Material compacted into an engineered embankment at 95 % of standard Proctor density ends up denser than it was in the borrow pit, so a cubic yard of bank material fills less than a cubic yard of fill. Typical shrinkage runs 10–15 % for common earth and up to 25 % for organic or loosely bedded soils; rock is the exception, since blasted rock fills more than it occupied and is quoted as a negative shrinkage.
Every estimator's classic mistake is balancing cut against fill in bank measure and then discovering the job is short. A worked example: the plans call for 5,400 CCY of embankment in a soil with 10 % shrinkage. The borrow must supply 5,400 / 0.90 = 6,000 BCY: six hundred yards of imported material that a naive one-for-one balance would have missed. Chain the two factors together and you get the full life of a shovel of dirt: 1,000 BCY becomes 1,250 LCY on the trucks and 900 CCY in the finished embankment.
Shrinkage: Compacted Volume from Bank Volume formula
- = Compacted volume (yd³)
- = Bank volume (yd³)
- = Percent shrinkage (%)
Cite this page
formula.expert. (2026, October 16). Shrinkage: Compacted Volume from Bank Volume Calculator. https://formula.expert/solvers/shrinkage-factor-compacted-volume