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Sheet metal

Bending and punching force

Enter thickness, bend length and material - the calculator gives the V-die opening, bending force in tonnes, minimum flange, and the punching force for a given hole diameter.

21.7 t
Die opening V
24 mm
Minimum flange
17 mm
Inner radius
≈ 4.0 mm
With 20% margin
26.1 t
0102030246Hydraulic press HLR-30U/2 - 30 тCrank press KD2124 - 25 тHydraulic press HLR-20U/2 - 20 тHydraulic press Unicraft WPP 15 TE 15 t - 15 тBench hydraulic press Unicraft WPP 10 TE 10 t - 10 т21.7 tthickness, mmtonnes
Not sure about the numbers? An engineer will check the calculation and pick equipment from stock or to order.

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How it is calculated

Air bending in a V-die: F [kN/m] = 1.42 × Rm × s² / V, where Rm is tensile strength in MPa, s is thickness in mm and V is the die opening in mm. The die opening is V = 8s for sheet up to 3 mm, 10s up to 10 mm and 12s above. Tonnes = kN / 9.81, multiplied by the bend length in metres.

Minimum flange is about 0.7V; the inside radius comes out at roughly V/6.

Punching: F = π × d × s × 0.8 × Rm (shear along the hole perimeter). A 20 mm hole in 3 mm St3: 3.14 × 20 × 3 × 0.8 × 400 ≈ 60 kN, i.e. about 6.2 t.

Tensile strength Rm: St3 mild steel - 400 MPa, steel 45 (C45) - 600, stainless - 650, aluminium - 200. Example: a 1 m bend in 3 mm St3, V = 24 mm - 21.7 t.

Bending force for St3 per metre

Thickness, mmDie V, mmkN/mt/m
18717.2
21614214.5
32421321.7
44022723.2
55028429.0
66034134.7
88045446.3
1010056857.9

Practical tips

  • Keep a 20% margin to the rated press force - for scatter in material strength, tool wear and setup errors.
  • In the same die, force grows with the square of thickness: twice the thickness needs four times the tonnage.
  • A narrower die gives a smaller radius, but force rises in inverse proportion to V. Do not go below 6s.
  • Stainless springs back more - overbend by a few degrees.
  • A short bend in the middle of the press is safer than at the end of the bed: off-centre load tilts the ram.
  • Worn friction inserts in the clutch-brake reduce actual force and stopping accuracy - see press spare parts.

When to involve an engineer

The result is an estimate for air bending. Coining, bottoming, high-strength steels and long parts near the limit of a press brake should be checked against the machine passport and the tool maker's charts.