Select hopper shape and enter key dimensions now. Apply fill, compaction, and moisture adjustment factors easily. See volume and mass capacity, then export reports.
| Scenario | Shape | Key dimensions | Bulk density | Fill | Usable | Capacity (approx.) |
|---|---|---|---|---|---|---|
| Batch plant sand hopper | Rectangular | L=2.2 m, W=1.6 m, H=1.4 m | 1600 kg/m³ | 0.90 | 0.98 | ~4.35 t |
| Crusher surge bin | Conical frustum | D₁=2.6 m, D₂=1.2 m, H=2.0 m | 1550 kg/m³ | 0.85 | 0.97 | ~5.17 t |
| Fly ash storage | Cylindrical | D=1.8 m, H=2.5 m | 900 kg/m³ | 0.92 | 0.98 | ~5.16 t |
This hopper capacity calculator estimates bulk material capacity by volume and mass. It covers rectangular bins, cylinders, and frustum shapes used at batch plants, crushers, conveyors, and storage points. Better estimates improve dispatch planning, reduce overfill, and support safer loading.
Many hoppers are tapered rather than perfect boxes. Surge bins often transition from a larger inlet to a smaller outlet. Frustum formulas represent this taper using two opening sizes and a height. For irregular bins, measure the closest equivalent geometry and use conservative factors.
Volume alone does not move trucks; mass does. Typical densities are about 850–1000 kg/m³ for fly ash, 1200–1450 kg/m³ for dry sand, and 1450–1700 kg/m³ for crushed aggregate. Density changes with gradation, moisture, and compaction, so prefer site test data.
Headroom is essential for spill control. A fill factor of 0.80–0.95 is common for free-flowing aggregates, depending on belt speed, dust control, and operator visibility. Usable fraction accounts for dead zones, liners, and buildup; values around 0.95–0.99 are typical with reliable flow.
Drop height, vibration, and reclaim cycles can increase in-place density. A compaction factor of 1.00–1.10 is often reasonable for aggregates, while very fine materials may vary more. Moisture adds weight and can alter flow, so adjust the moisture factor for wet stockpiles, rain, or washing.
Effective volume multiplied by adjusted density gives mass capacity. Use it to estimate loader buckets, stage truck cycles, and check whether the hopper can buffer short interruptions. Example: 3.0 m³ of aggregate at 1600 kg/m³ is about 4.8 t before headroom reductions. For batching operations, confirm hopper discharge rate so storage time aligns with mixer demand and traffic patterns during peak pours.
Validate estimates by comparing calculated mass with scale tickets across several loads. If results trend low, review dimensions, taper assumptions, and factors. A practical calibration is to tune usable fraction so calculated effective capacity matches the observed average, while keeping fill factor conservative.
Overfilling increases spill risk, dust exposure, and cleanup time. Keep fill factors lower near walkways or moving equipment, and confirm guards and access controls. Exported reports help document assumptions and standardize settings across shifts and projects.
Select the geometry that best matches the measured interior space. If the hopper tapers, prefer a frustum option. When uncertain, choose the closest match and reduce the fill factor to stay conservative.
Crushed aggregate commonly ranges from 1450 to 1700 kg/m³. Use your plant’s test results or weigh-belt data when available, because gradation, void ratio, and moisture can shift density significantly.
Effective volume applies headroom and flow limitations. Fill factor reduces overfill risk, and usable fraction accounts for dead zones, liners, buildup, or discharge patterns that prevent full use of geometric space.
They modify density. Compaction reflects settling or vibration that increases in-place weight per volume. Moisture reflects extra water carried with material. Increasing either factor raises the calculated mass capacity.
You can estimate volume, but mass depends on the mixture’s true density and water content. For wet mixes, use measured density from batching records and keep fill factor conservative to avoid splash and segregation.
Interior dimensions and opening sizes for tapered bins matter most. Measure at multiple points, confirm whether dimensions are internal or external, and document liners. Small errors in diameter can create large volume errors.
Calculate, then export CSV or PDF for your daily log. Record the selected shape, dimensions, density source, and factors used. This makes assumptions transparent and supports consistent shift-to-shift decisions.
Plan loads carefully and keep material flow consistently safe.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.