Crushed Stone #57 Tonnage & French Drain Calculator
Calculate exact quarry tonnage, cubic yards, and tandem dump truck loads for AASHTO #57 clean washed limestone. Includes automatic perforated pipe volume displacement deductions for French drains, retaining wall backfill chimneys, and driveway top-dressing projects.
Measurements
US customaryHow to Calculate #57 Stone Tonnage Manually
AASHTO #57 (also classified under ASTM C33) is an open-graded, washed aggregate consisting of crushed angular limestone, granite, or trap rock sized from 1/2 inch to 1 inch. Because clean stone contains no stone dust or soil fines, it retains a void ratio of approximately 40% between particles, delivering high water percolation capacity while maintaining structural shear stability.
Pipe Displacement (cu ft) = pi × (Pipe Diam (in) ÷ 24)² × Length (ft)
Net Volume (cu yds) = Gross Cu Ft – Pipe Displacement ÷ 27 × (1 + Settlement Buffer)
Quarry Tonnage = Net Cubic Yards × 1.40 Tons/yd³
Worked-Out Jobsite Numerical Example
Assume excavating a 50 ft long French drain trench that is 18 inches (1.5 ft) wide and 18 inches (1.5 ft) deep, installing a continuous 4-inch perforated drain pipe, with a standard 10% gravel settlement buffer:
- Calculate Gross Trench Volume: 50 ft × 1.5 ft × 1.5 ft = 112.5 gross cu ft.
- Calculate 4″ Pipe Radius in Feet: 4 in ÷ (2 × 12) = 0.1667 ft.
- Calculate Pipe Volume to Deduct: pi × (0.1667)² × 50 ft = 3.1416 × 0.02778 × 50 = 4.36 cu ft.
- Calculate Net Stone Volume: 112.5 – 4.36 = 108.14 net cu ft.
- Add 10% Settlement Buffer: 108.14 × 1.10 = 118.95 cu ft.
- Convert to Cubic Yards: 118.95 / 27 = 4.41 Cubic Yards.
- Convert to Quarry Tons (at 1.40 tons/yd³): 4.41 × 1.40 = 6.17 Tons.
Technical Reference: ASTM C33 / AASHTO M43 #57 Sieve Gradation Specifications
Commercial civil engineering projects specify #57 clean stone to guarantee exact particle distribution and zero fine sediment:
| Standard Sieve Size | Metric Sieve Opening | Percent Passing by Weight | Engineering Purpose |
|---|---|---|---|
| 1-1/2 Inch (37.5 mm) | 37.5 mm | 100% | Ensures zero oversized boulders enter chute |
| 1 Inch (25.0 mm) | 25.0 mm | 95 – 100% | Primary top nominal aggregate size |
| 1/2 Inch (12.5 mm) | 12.5 mm | 25 – 60% | Interlocking particle size distribution |
| No. 4 Sieve (4.75 mm) | 4.75 mm | 0 – 10% | Prevents smaller grit from blinding pipe holes |
| No. 8 Sieve (2.36 mm) | 2.36 mm | 0 – 5% | Guarantees 100% clean washed water drainage |
For complete ASTM C33 gradation curves, clean wash specifications, and perforated drainage trench detailing, review our in-depth Gravel & Crushed Stone Sizing & Tonnage Guide →
\nFrequently Asked Questions About #57 Stone
Results are estimates based on the dimensions and material assumptions entered. Actual material requirements can vary due to site conditions, material density, compaction, waste, supplier specifications, and construction methods. Confirm quantities with your supplier or project professional before ordering.