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Press brake tonnage calculator

Air-bending force grows with the square of the thickness and falls with the V opening: F = 1.42·Rm·t²·L / V. 3 mm mild steel on a 24 mm V takes about 240 kN per metre of bend. Enter the sheet, the die and the bend length, and the calculator gives the force, the V the makers recommend for that thickness, the inside radius it forms and the shortest flange that will bend on it, and checks it against your press.

Force for 1000 mm
In tonnes-force
Force per metre
V by the makers' rule
8·t = 24.0 mm
Natural inside radius ri
Minimum flange b
How it’s calculated

F = 1.42·Rm·t²·L / (1000·V) kN, with t, V and L in mm and Rm in N/mm², for a 90° air bend. Mild steel is taken at Rm 450 N/mm², the force charts’ basis; stainless at 1.5 times and soft aluminium at 0.5 times that force. ri ≈ 0.16·V (mild steel), b ≈ 0.77·V; 1 t = 9.80665 kN.

Force by thickness, on the rule’s V

t (mm)V (mm)RuleF (kN/m)F (t/m)ri (mm)b (mm)
0.53.06·t535.40.52.3
0.84.86·t858.70.83.7
16.06·t10710.91.04.6
1.27.26·t12813.01.25.5
1.59.06·t16016.31.46.9
212.06·t21321.71.99.2
2.515.06·t26627.12.411.6
324.08·t24024.43.818.5
432.08·t32032.65.124.6
540.08·t39940.76.430.8
648.08·t47948.97.737.0
864.08·t63965.210.249.3
10100.010·t63965.216.077.0
15180.012·t79981.428.8138.6
20240.012·t1065108.638.4184.8

How do you choose the V-die?

The makers’ rule of thumb is a V of about 6 times the thickness for thin sheet, 8 times from 3 to 8 mm, 10 times around 10 mm and 12 times for plate. A wider V needs less force but forms a larger inside radius (about 0.16·V in mild steel) and needs a longer flange (about 0.77·V) to stay on the shoulders; a narrower one the reverse. Makers’ force charts differ by up to about 15 %, so leave margin on the press.

DerivedVerify against the governing standard before you rely on a number.Sources

Air-bending force: LVD, Tooling Essentials catalogue (F = 1.42·L·Rm·S²/(1000·V), chart at Rm 450 N/mm²), matched to 1 % row by row; Durma, press brake tonnage chart (650·S²·L/V at 450 MPa)

Amada HFE M2 bending chart: 0–7 % above this relation (mild steel, 40–45 kg/mm²); Trumpf's 1.33 constant, Bystronic's (1 + 4t/V) and Wila's chart differ by up to about 15 %

V-die rule 6/8/10/12·t by thickness: Trumpf tool catalogue (2010, p. 182) and Bystronic XPT tool catalogue (p. 10), with Wilson Tool and MC Machinery

Natural inside radius ≈ 0.16·V: Trumpf (Technologie des Biegens), Bystronic and Amada; minimum flange ≈ 0.77·V: LVD and Bystronic

Stainless × 1.5 and soft aluminium × 0.5: Wila, MC Machinery, Durma and LVD (AW-5754)

Limitation: The force is for a 90° air bend; bottoming and coining take several times more.

Limitation: Between the rule's bands (2.5–3, 8–9 and 10–14 mm) the makers differ, so both multiples are shown.

Limitation: No two makers agree on an inside-radius fraction for stainless or aluminium, so none is given.

Limitation: Tooling load limits (force per metre on the punch and die) are the tool maker's: check them too.

Values follow the governing standard, which is authoritative for production and inspection decisions.

Standard names are trademarks of their respective owners; ASdrawn is not affiliated with or endorsed by any standards body.