The formula
This calculator uses the standard published air-bend tonnage rule of thumb, scaled by tensile strength so it works across mild steel, stainless, and aluminum from one formula:
Tons per foot of bend lengthtons/ft = (575 × T² ÷ V) × (UTS ÷ 60,000)
Total tonnagetons = tons/ft × (L ÷ 12)
Where:
- T — material thickness, in inches
- V — die (V-opening) width, in inches
- UTS — the material's ultimate tensile strength, in psi (typical values below)
- L — bend length, in inches
The constant 575 and the 60,000 psi baseline are calibrated to mild steel air bending; the UTS ratio scales the estimate for other materials. Typical tensile strength assumed for each material: mild steel ≈ 60,000 psi, stainless (300 series) ≈ 85,000–90,000 psi (this calculator uses 87,500 psi), aluminum 5052-H32 ≈ 30,000–35,000 psi (this calculator uses 32,500 psi). These are typical mill-certification ranges, not a guarantee for your specific heat or lot.
Formula basis: the standard air-bend tonnage rule of thumb published across sheet-metal fabrication trade references, including the Fabricators & Manufacturers Association International (FMA) technical library.
How to read the reference table
Each cell in the table below is tons of force required per linear foot of a 90° air bend in mild steel, at that row's thickness and that column's V-die opening. Multiply by your bend length in feet for total tonnage — or use the calculator above, which does this automatically and also scales for stainless and aluminum. The highlighted cell in each row is the column nearest the 8×T rule of thumb described next.
Why 8×T matters
Die opening is usually chosen relative to material thickness, and 8×T is the standard starting ratio in air-bend practice. Go narrower than roughly 6×T and tonnage climbs sharply — the table below shows how fast the numbers rise toward the tight-die columns — while also raising the risk of galling the material or bottoming the punch before a clean angle forms. Go wider than roughly 10–12×T and tonnage drops, but angle control loosens and the inside radius grows and becomes less repeatable.
As a rule of thumb, the resulting inside bend radius runs about V ⁄ 8 — a 0.750 in die opening produces roughly a 0.094 in inside radius. Treat this as a planning estimate: actual radius depends on material, punch nose radius, and overbend.
Minimum flange (approximation)
A flange shorter than roughly V × 0.7 risks being pulled into the die rather than cleanly bent, or may not clear the die shoulders at all. For a 0.750 in die opening, that puts the approximate minimum flange around 0.525 in. This is a rule-of-thumb floor, not a guarantee — confirm against your actual tooling and back-gauge reach for anything close to it.
Safety note
Every figure on this page is a planning estimate from a published formula, not a substitute for your press brake's or die's rated capacity chart. Never exceed either rating. Actual required tonnage varies with material lot, real tensile strength, friction, bend method, and tooling condition — confirm with your equipment's own chart, and with engineering, before running an unfamiliar setup.