Grain Bin Capacity Calculator

Enter the inside diameter, sidewall height and peaked-roof height of a round grain bin. We use the exact geometric formula (not the rounded Purdue table factors) to give you bushels, cubic feet and grain weight for any of the six major USDA grains.

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Inside diameter of the cylindrical wall. Common farm sizes: 18, 24, 30, 36, 42, 48 ft.

Height of the sidewall from floor to eave — where the roof starts.

Vertical distance from the eave to the top of the grain peak. Use 0 for a level fill.

Total capacity

13,253 bushels

Cylinder capacity (bu)
11,360
Peaked-roof capacity (bu)
1,893
Total volume (ft³)
16,493
Grain weight (lb)
742,192
Grain weight (US short tons)
371.1

Cylinder bushels = π × (D/2)² × H ÷ 1.24446. Peaked-roof bushels = (1/3) × π × (D/2)² × Hc ÷ 1.24446. One US bushel is 1.24446 ft³ (USDA Grain Inspection Handbook Ch. 3). Test weights come from the USDA Federal Grain Inspection Service US Standards for Grain. Formula follows Purdue Extension AE-100 and University of Nebraska–Lincoln NebGuide G1948.

How to use this calculator

Measure the inside diameter of the bin at the sidewall (not the outside skin — the corrugated steel is thin but the metric is the storage volume, not the shell). Wall height runs from the concrete floor to the eave where the roof cone starts. Peaked-roof height is the vertical rise from the eave to the top of the grain pile — for a peaked-roof bin filled to the roof line, use the roof cone height; for a flat-topped bin loaded level, enter 0. Pick the grain from the drop-down; the calculator applies the USDA test weight to convert bushels to pounds and US short tons.

How the calculation works

A round grain bin is a cylinder with (optionally) a cone-shaped grain peak on top. The cylinder volume in cubic feet is π × (D/2)² × H, and the cone volume is one-third of the cylinder with the same base and height, i.e. (1/3) × π × (D/2)² × Hc. One US bushel occupies exactly 1.24446 cubic feet — the USDA Winchester bushel defined in the Grain Inspection Handbook, Chapter 3 — so bushels = cubic feet ÷ 1.24446. To convert to weight, multiply bushels by the USDA test weight for that grain (56 lb/bu for corn and sorghum, 60 for wheat and soybeans, 48 for barley, 32 for oats). The tabulated coefficients you see in Purdue Extension AE-100 and University of Nebraska–Lincoln NebGuide G1948 (0.6283 D²H for the cylinder, 0.2094 D²Hc for the cone) are the same formula with π and 1.24446 pre-combined and rounded — this calculator uses the exact values so the numbers are about 0.5% higher than the table values on the same inputs.

Worked example

A 30-ft diameter × 20-ft tall bin with a 10-ft peaked corn roof. Cylinder volume = π × 15² × 20 = 14,137 ft³, which is 14,137 ÷ 1.24446 = 11,360 bu. Cone volume = (1/3) × π × 15² × 10 = 2,356 ft³ = 1,893 bu. Total 13,253 bushels — about 63 bushels higher than the Purdue AE-100 rounded table (13,190 bu) because the table uses truncated coefficients. At corn test weight 56 lb/bu that is 742,143 lb, or 371 US short tons. Cross-check against a Sioux Steel 30-06 (30 ft × 6-ring, ~19.2 ft eave) rated for ~10,700 bu level-full: our formula on a 19.2-ft wall gives 10,900 bu, which lines up with the manufacturer spec sheet once the small under-fill allowance for the roof clearance is applied.

Frequently asked questions

What is a bushel and why is grain measured that way?

A bushel is a unit of dry volume, not weight — 1 US Winchester bushel equals exactly 2,150.42 cubic inches, or about 1.24446 cubic feet, and comes from a 17th-century English standard for grain measure. It has survived in the US and Canadian grain trade because the whole supply chain — farmers, elevators, futures markets on the CBOT, USDA reports — quotes crops in bushels. The pound-per-bushel test weight lets you convert between bushels (a volume) and pounds (a mass) at a standard density for each grain, which is how grain moves between the two units on invoices and shipping tickets.

Why does my answer come out a bit higher than the Purdue AE-100 or NebGuide tables?

The extension tables use rounded coefficients — 0.6283 for the cylinder factor and 0.2094 for the cone factor — that combine π and 1.24446 into a single number. Rounding those two constants to four significant figures drops about 0.5% of the true capacity. This calculator carries π to full double-precision and 1.24446 to five decimal places, so the raw geometric answer is 0.4–0.6% higher than the table value on the same diameter and height. For farm-scale planning that difference is smaller than the pack settling of the grain itself, so either number is fine; the calculator matches the pure math, the table matches the historical printout.

Do I use inside or outside diameter of the bin?

Inside diameter, always. The storage volume is bounded by the inner face of the corrugated wall, not the outside skin. On a typical farm bin the corrugation and stiffener add only about half an inch to the outside diameter per side, so the difference is under 1 bushel per foot of height on a 30-ft bin — but on a large commercial bin the numbers get real. The manufacturer spec sheet always quotes inside diameter (Sukup, Brock, GSI, Sioux Steel all agree on this); if you are measuring a bin on-farm, drop a tape from the top ring inside the wall.

How do I handle a bin that is only partly full?

For a partly-filled cylinder, replace the wall height H with the depth of grain measured from the floor to the top of the pile. If the grain is heaped rather than level (which it will be if it was augered in from the centre), you still have the cone geometry — measure the vertical distance from the level surface up to the peak and enter it as the peaked-roof height. A quick rule of thumb: corn augered dead-centre piles to an angle of repose of about 23°, so on a 30-ft diameter bin the peak sits about 6.4 ft above the level of the outer edge. Use that as the peak height if you cannot climb up and measure.

What test weight should I use if my grain is off-standard?

The calculator uses the USDA Federal Grain Inspection Service standard test weights that apply to No. 1 or No. 2 grade grain — 56 lb/bu for corn and sorghum, 60 for wheat and soybeans, 48 for barley, 32 for oats. Off-standard grain trades at its own tested weight: light corn from a drought year might come in at 52 lb/bu, plump hard red winter wheat can hit 63. If you know the actual test weight from an elevator ticket, take the bushel figure from the calculator and multiply by that number instead of the standard. The bushel count itself is a pure geometry number and does not change with grain quality.

Can I use this for a hopper-bottom or a flat-bottom bin?

This calculator models a flat-bottom bin — the concrete-floor design that most farm storage uses. For a hopper-bottom bin (steel cone underneath, feeding onto trucks by gravity), add the hopper cone volume separately using the same one-third-of-a-cylinder formula: (1/3) × π × (D/2)² × hopper_depth. Most commercial hoppers have a 45° or 60° discharge angle, so a 24-ft diameter hopper adds about 12 ft of vertical drop and roughly 1,800 bushels of hopper storage — worth counting when you are sizing a bin farm.