Press Brake Tonnage Calculator
An estimate of the press brake force for a 90° air bend, from the thickness, the die opening, the length of the bend and the material — in kN, metric tons and US tons, for the whole bend and per length.
The method behind it: How much force does a bend take? Press brake tonnage by hand — step by step, with sources.
Dimensions
Results
An estimate, and it can read low: in the worst case by 20 % or more, with mill scale or stronger plate. Stay well inside your machine’s chart and the kN/m marked on your tools. A short bend loads the tool much harder per metre than the machine’s total suggests.
Preview
The bend on the die
Die opening, thickness and inside radius to scale. The shapes of the die and punch are only a sketch.
How this tool is verified
- Held in the tests to all 77 figures of the maker’s chart it comes from, and to all 63 of a second maker’s chart for mild steel, with the misses stated on this page.
- Worked example by hand: 420 × 3² ÷ 24 × (1 + 4 × 3 ÷ 24) = 236.25 kN per metre.
- The same bend in millimetres and in inches gives the same force. A die under 5 × thickness is refused.
The method, the reports and the responsibility boundary are on the Verification page.
Built by Ruthen Systems
Free, with no account, and the dimensions you type never leave your browser. If a result looks wrong, or the option your shop needs is missing, say so — reports of a wrong result are dealt with first.
Report a problem or request a toolAssumptions and limits
Read these before you cut anything. They describe exactly what this tool does and does not account for.
- A 90° air bend on a standard V-die. Not bottoming, not coining, not hemming and not other bend angles.
- An estimate from one maker’s reference formula, compared with two makers’ charts but not with measured bends. It can read low: real plate varies in strength and thickness, and mill scale is not added.
- Force is shared evenly along the bend. It says nothing about what your machine or your tools can carry.
Output is a planning and fabrication aid. You are responsible for verifying dimensions, tolerances and material behaviour before production — full disclaimer.
Worked example
3 mm mild steel, 1000 mm long, on a 24 mm die.
- Force per metre236.3 kN/m
- Whole bend236.3 kN = 24.1 t = 26.6 US tons
By hand: 420 × 3 × 3 ÷ 24 = 157.5; 1 + (4 × 3 ÷ 24) = 1.5; 157.5 × 1.5 = 236.25 kN per metre. Bystronic’s chart prints 240 for this bend, WILA’s 22 t per metre (about 216 kN).
Method
The formula
F = Rm × t² ÷ V × (1 + 4 × t ÷ V), in N per mm of bend, which is the same number as kN per metre. Bystronic’s tool catalogue prints it as reference data for air bending. In the copy we could read, the bottom of both fractions is blank. V is our reading, and we hold it to the catalogue’s own chart: against all 77 figures, calculated by the catalogue for Rm 420 N/mm², the median miss is 1.6 %, 68 are within 5 %, and the misses run from 1.4 % high to 13.0 % low (the largest is 20 mm on a 290 mm die, where the chart prints 850 between 900 on 260 and 700 on 320). A plain 1.42 × Rm × t² ÷ V, also in common use, fits the same chart much less well, 35 of 77 within 5 %, because the force does not simply follow 1 ÷ V.
How far to trust it
The two makers’ charts do not agree with each other: for 3 mm on a 24 mm die, Bystronic prints 240 kN per metre and WILA 22 t per metre, about 216 kN taking its tons as metric. WILA’s flattening chart on the facing page gives Rm 42 kN/cm² (420 N/mm²) for mild steel, the same as Bystronic’s chart; if its air-bending chart uses that too, strength does not explain the gap. The formula is a median 7 % above WILA’s 63 figures and never below them, and below Bystronic’s in 64 of its 77. None of this was checked on real bends. The errors that matter run the unsafe way: below the chart by up to 13 %, mill scale 5 to 10 % on top, stronger plate on top of that. So in the worst case the real force can be 20 % or more above the result.
The other figures
The usual die follows the thickness table in Mate’s catalogue. Bystronic’s is close but not identical: it gives 6 × up to and including 2.5 mm, 10 × for 9–10 mm and 12 × above 12 mm. The inside radius is about 16 % of V in mild steel (Bystronic, Mate) and about 21 % in stainless (Benson); the shortest flange is about 0.7 × V to the outside of the bend (WILA, Mate, Benson; WILA’s chart shows it, Mate’s page states it). The section drawing uses 16 % where no radius is given for the material. Metric tons here are 9.80665 kN; Bystronic rounds to 10 kN.
Sources
- Bystronic, Tools RF-A catalogue, “Calculation basics for air bending”, pp. 4–6: the capacity chart (Rm 420 N/mm², 1 m), the formula, die openings, aluminium × 0.65, stainless × 1.6, mill scale 1.05–1.1, radius about 16 % of V; p. 3: tools marked with a maximum bending force in kN/m.
- WILA catalogue GB, p. 110, air bending tonnage chart: tons per metre for mild steel at 90°; soft aluminium × 50 %, heat-treated aluminium × 100 %, stainless × 150 %; bottoming three to five times air bending.
- Mate Precision Tooling, TWS catalog LIT01120 Rev D, p. 4: die opening by thickness, flange and radius.
- S. Benson, “Predicting the inside radius when bending with the press brake”, The Fabricator: air-bent radius in stainless. Cited as on the minimum flange guide.
Questions
How do I work out press brake tonnage?
For a 90° air bend, this tool uses F = Rm × t² ÷ V × (1 + 4 × t ÷ V) in kN per metre of bend, with the tensile strength Rm in N/mm², the thickness t and the die opening V in mm (V in that formula is our reading of the maker’s, as the method below explains). Multiply by the length of the bend in metres. For 3 mm mild steel on a 24 mm die that is 236 kN per metre, about 24 tonnes.
How accurate is it?
It has only been compared with two makers’ charts, not with measured bends, so read it as an estimate, and one that can read low. At Rm 420 N/mm² the formula is within 5 % of 68 of the 77 figures in the chart it comes from (Bystronic). It sits below that chart in 64 of them, by up to 13 %. Mill scale can add another 5 to 10 %, and plate stronger than you assumed adds more, so in the worst case the real force can be 20 % or more above this figure. WILA’s chart for mild steel runs lower: the formula is a median 7 % above it, and up to 19 % above on a few thin sheets. Stay well inside your machine’s chart and your tools’ limits; do not plan a bend up to the limit on the strength of this figure.
Which die opening should I use?
A common starting point (Mate’s table) is 6 × thickness below 2.5 mm, 8 × from 2.5 to under 8 mm, 10 × from 8 to under 10 mm and 12 × from 10 mm. Because the die steps up at those thicknesses, the “usual die” force drops at each step: 2.49 mm on 6 × needs more than 2.5 mm on 8 ×. A wider die lowers the force but raises the inside radius and the shortest flange you can bend. This tool gives no figure under 5 × thickness, where the makers’ charts do not go. Between 5 × and 6 × it gives a figure with a warning: only WILA’s chart reaches there, on a few thin sheets, so do not rely on the figure.
Can I use this for bottoming or coining?
No. WILA says bottoming takes three to five times the air-bending force, and that range is too wide to print one number. Do not scale this figure up and rely on it; use the figures for your own tools and machine.
My press has enough tonnage for the whole bend. Is that enough?
Not on its own. Bystronic’s tools are marked with a maximum bending force in kN per metre, so compare the per-metre figure with what is marked on your punch and die. The whole-bend figure shares the force along the bend, but a short bend in thick plate puts it all on a short length of tool: it can be well inside the machine’s total and still over the tool’s per-metre limit, and it can damage the tool. Your machine’s own chart and manual, and the tool maker’s limits, govern what they may carry.
What about stainless and aluminium?
Stainless is taken at 1.6 × the mild steel figure (Bystronic, for Rm 650–700 N/mm²); WILA uses 1.5 ×. For aluminium the makers differ more: Bystronic takes 0.65 × for Rm 300 N/mm², WILA takes 0.5 × for soft aluminium and 1.0 × for heat-treated alloys. For a heat-treated alloy use at least the mild steel figure (WILA’s × 1.0). If you know the tensile strength from the mill certificate, choose “Other” and enter it: a stronger alloy needs more. High-strength and wear-resistant plate has its own limits: use the plate maker’s bending data. Mill scale adds a factor of 1.05 to 1.1 on hot-rolled sheet (Bystronic); this tool does not add it.
Missing an option?
A different datum, an offset, a shop allowance, another shape altogether — say what this tool does not cover yet. Requests decide what gets built next, and a report of a wrong result is dealt with before anything new.
Rather have the whole part drawn — a shop drawing or a cut file from your sketch? That is paid drafting, quoted per job: drafting for small shops.
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