Grain Bin Calculator
How it Works
01Enter Diameter
Bin diameter in feet.
02Enter Grain Height
Height of grain inside bin.
03Apply π × r² × h
Cylindrical volume.
04Convert to Bushels
1 ft³ = 0.8036 bu.
What Is Grain Bin Capacity?
Grain bins (also called grain silos or hopper bins) come in standard cylindrical configurations. Capacity is determined by the bin's internal dimensions—diameter and eave height (the height from the floor to the point where the sidewall meets the roof)—and the specific density of the grain being stored. Most commercial round grain bins also have conical roofs and peaked centers, but the standard capacity calculation uses the straight-wall eave height and applies an average fill correction.
The specific weight (test weight) of the grain is the critical variable that converts volume to bushels. USDA standard test weights are established by law for each commodity:
The calculation also incorporates a packing factor. Whole grain in bins naturally settles and compacts over time, typically adding 1–3% to the volume initially calculated from bin dimensions. Extension engineers use a packing factor of approximately 1.4% increase in capacity per foot of grain depth (the "packing factor method"). Most practical calculations use a standard factor of 0.8036 bushels per cubic foot before applying grain-specific test weight correction.
This calculator handles standard cylindrical bins with flat or peaked floors, applies USDA standard test weights, incorporates the standard packing factor, and returns both bushel capacity and metric ton equivalents.
Safety in and around grain bins is a critical consideration that extends well beyond capacity calculation. Engulfment in grain is one of the most dangerous agricultural hazards, killing approximately 26 workers annually in the United States. Grain that appears solid can liquefy suddenly under weight, trapping and burying a person in seconds. Additionally, grain bin atmospheres can contain dangerous concentrations of oxygen-depleting gases from fermenting grain, carbon dioxide from grain respiration, and fumigant residues. OSHA's Grain Handling Facilities standard (1910.272) requires specific entry procedures, atmospheric testing, lockout/tagout, and rescue equipment for any bin entry.
The structural design of modern grain bins is engineered to specific design loads—the maximum weight of grain the bin sidewalls and foundation can safely support. These ratings are determined by bin diameter, eave height, roof design, and material grade. Exceeding the design load through overfilling or improper aeration management (which can concentrate moisture and create a frozen grain mass on the bin walls that exerts dramatically higher lateral force than normal grain) risks catastrophic structural failure. Annual inspections of bin condition—checking for corrosion, damaged anchor bolts, uneven settlement, and roof integrity—are essential maintenance practices.
For grain storage quality, the equilibrium moisture content concept is as important as bin volume. Different grains must be stored at specific moisture levels to prevent mold growth and maintain quality during storage. Corn must be below 13–14% moisture for long-term storage; soybeans below 12–13%; wheat below 13%. Temperature management through aeration—cooling grain to below 35°F in winter—is the most important management practice for preservation. This calculator's volume estimate represents the physical capacity; maintaining that capacity productively requires active management of temperature and moisture throughout the storage period.
How It Works
Diameter
Grain Height
Apply π × r² × h
× 0.8036
The Formula
Where r = bin radius (ft), h = eave height (ft)
Grain volume (bu) = Volume (cu ft) × 0.8036 × (test weight / 60)
The 0.8036 factor is the conversion from cubic feet of grain space to bushels for 60 lb/bu grain (soybeans or wheat). For other test weights, the formula scales proportionally.
Simplified:
Bushels = π × (diameter/2)² × height × 0.8036 × (test weight / 60)
For peaked center bins (cone fill):
Add: π × (diameter/2)² × peak height × (0.8036/3) for the cone volume
Peak height ≈ diameter × 0.2 for standard peak angle
Worked Example
Grain: Corn (56 lbs/bu test weight)
Radius = 15 ft
Cylinder volume = π × 15² × 20 = 14,137 cubic feet
Standard bushel conversion:
Bushels = 14,137 × 0.8036 × (56/60)
= 14,137 × 0.8036 × 0.9333
= 10,595 bushels
Cone addition (peak height ≈ 6 ft):
Cone volume = π × 15² × 6 / 3 = 1,414 cu ft
Cone bushels = 1,414 × 0.8036 × 0.9333 = 1,060 bushels
Total estimated capacity: 11,655 bushels of corn
Common Use Cases
Farm Grain Management
Insurance Valuation
Elevator Operations
Marketing Decisions
Technical Reference
Key Takeaways
Frequently Asked Questions
What is eave height and how do I measure it?
Why does the grain type matter for capacity calculation?
What is a bushel?
Does moisture content affect grain bin capacity?
How accurate is this calculation?
Can I safely fill a bin to 100% of calculated capacity?
What is grain spoilage and how does bin capacity relate to it?
How do I convert bushels to metric tons?
What is the standard peak angle for grain piled in a bin?
Are there legal requirements for grain bin capacity certification?
Disclaimer
Assumes flat-bottom cylindrical bin.