BIZOMAT MAKEOS · Fabrication

Press Brake Set-up: Die, Radius, Flange and Tonnage

Which V-die should I use for this bend, what inside radius and minimum flange will it give, and is the press brake big enough?

Air-bending set-up for a press brake: the die opening from a chosen multiple of thickness (rounded up to a common die opening), the inside radius that air bending produces (a share of the die opening), the shortest flange that still spans the die, the bending force by the handbook-style formula (as the press brake force tool), force per metre and the press capacity check.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
ThicknessmmSheet thickness.
Tensile strengthMPaTensile strength of the sheet.
Bend lengthmmLength of the bend.
Die opening as a multiple of thicknessDie opening as a multiple of thickness (about 6–8 for thin sheet, 8–12 for plate).
Inside radius ÷ die opening (air bending)Inside radius produced by air bending as a share of die opening (about 0.15–0.16 mild steel, 0.2 or more for stainless and aluminium).
Minimum flange ÷ die openingShortest flange as a share of die opening (so the flange still bridges the die).
Bending factorAir-bending factor in the force formula.
Press capacitykNPress brake rated force.
Die rating (force per metre)kN/mLoad rating of the die per metre of length.

What each input means

Open an input to see what it is, its units, the worked example and the common mistakes, with a small diagram.

What this means: Thickness
Illustration: ThicknessThe cross-section of a plate or wall with a dimension across its thickness, marking Thickness.tsection through the materialExample: 3 mmThickness
What it is
The thickness of the sheet or plate being bent, which sets the die opening through the chosen multiple and drives the bending force.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 50 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 3 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Force rises with the square of thickness, and a thicker sheet may step up to a wider die.
Get it right
Measure the actual sheet; nominal gauge numbers do not always match the real thickness.
What this means: Tensile strength
Illustration: Tensile strengthA test bar pulled from both ends: stress Tensile strength is the force carried by each square millimetre of its cross-section.UTSstress = force ÷ areaExample: 450 MPaTensile strength
What it is
The ultimate tensile strength of the sheet material, from the mill certificate or material standard.
Units and format
Enter a number in MPa: megapascals (1 MPa = 1 N/mm²). The form accepts 0.000001 MPa to 2000 MPa. Required: the tool does not calculate until every input is valid.
Example
The form opens with 450 MPa as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Bending force is directly proportional to tensile strength.
Get it right
Use tensile strength, not yield strength; the force formula is written for tensile strength.
What this means: Bend length
Illustration: Bend lengthA bar with a dimension line and arrows from one end to the other, marking the length Bend length.LExample: 1000 mmBend length
What it is
The length of the bend line along the press brake, usually the full width of the flange being formed.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 20000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 1000 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Total force is proportional to length; force per metre does not change.
Get it right
Use the length actually bent in one hit, not the length of the part or the tooling.
What this means: Die opening as a multiple of thickness
Illustration: Die opening as a multiple of thicknessTwo wheels of different sizes linked together; Die opening as a multiple of thickness compares one with the other.iExample: 8Die opening as a multiple of thickness
What it is
How many sheet thicknesses wide the V-die opening should be. The tool multiplies it by thickness and rounds up to the next common die opening.
Units and format
Enter a plain number with no unit. The form accepts 4 to 16. Required: the tool does not calculate until every input is valid.
Example
The form opens with 8 as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A larger multiple picks a wider die: less force, a larger inside radius and a longer minimum flange.
Get it right
The die actually used can be wider than multiple × thickness because of the rounding up; check the die opening in the results.
What this means: Inside radius ÷ die opening (air bending)
Illustration: Inside radius ÷ die opening (air bending)Two wheels of different sizes linked together; Inside radius ÷ die opening (air bending) compares one with the other.iExample: 0.16Inside radius ÷ die opening (air bending)
What it is
The inside bend radius that air bending produces, expressed as a fraction of the die opening. It depends on the material and tooling.
Units and format
Enter a plain number with no unit. The form accepts 0.05 to 0.4. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.16 as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
The inside radius is this fraction times the die opening.
Get it right
Type it as a fraction of the die opening, not of the thickness; your own test bends are the best source.
What this means: Minimum flange ÷ die opening
Illustration: Minimum flange ÷ die openingTwo wheels of different sizes linked together; Minimum flange ÷ die opening compares one with the other.iExample: 0.7Minimum flange ÷ die opening
What it is
The shortest flange that still bridges the die shoulders during the bend, expressed as a fraction of the die opening.
Units and format
Enter a plain number with no unit. The form accepts 0.4 to 1.2. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.7 as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
The minimum flange is this fraction times the die opening.
Get it right
Type it as a fraction of the die opening; a flange shorter than this falls into the die and bends badly.
What this means: Bending factor
Illustration: Bending factorTwo bars: a base value and the same value multiplied by Bending factor, the factor.base valuewith factorkExample: 1.33Bending factor
What it is
The dimensionless factor in the air-bending force formula that allows for die geometry and how the sheet wraps the punch.
Units and format
Enter a plain number with no unit. The form accepts 1 to 2. Required: the tool does not calculate until every input is valid.
Example
The form opens with 1.33 as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Bending force is directly proportional to this factor.
Get it right
Use the factor that goes with this formula from your tooling supplier or handbook; bottoming and coining need far more force than this formula gives.
What this means: Press capacity
Illustration: Press capacityA block with an arrow pushing on it; the arrow is the force Press capacity.FExample: 1000 kNPress capacity
What it is
The rated force of the press brake, from its specification plate or data sheet.
Units and format
Enter a number in kN: kilonewtons (1 kN = 1000 N). The form accepts 0.000001 kN to 100000 kN. Required: the tool does not calculate until every input is valid.
Example
The form opens with 1000 kN as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
It does not change the bending force, only the capacity check.
Get it right
Machines are often rated in tonnes force; convert to kN before entering.
What this means: Die rating (force per metre)
Illustration: Die rating (force per metre)A block with an arrow pushing on it; the arrow is the force Die rating (force per metre).FExample: 1000 kN/mDie rating (force per metre)
What it is
The load the die can carry per metre of bend length without damage, stamped on the die or given in the tooling catalogue.
Units and format
Enter a number in kN/m: kN/m. The form accepts 0.000001 kN/m to 100000 kN/m. Required: the tool does not calculate until every input is valid.
Example
The form opens with 1000 kN/m as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
It does not change the force, only the die rating check.
Get it right
Compare per metre, not total: a short bend can overload a die locally even when the press has spare capacity.

Method and formulas

  1. Die opening = multiple × t, rounded up to a common opening (6, 8, 10, 12, 16, 20, 24, 30, 35, 40, 50, 60, 80, 100, 120, 160, 200, 250 mm).
  2. Inside radius ≈ share × die opening; minimum flange ≈ share × die opening.
  3. Force F = k L t² UTS ÷ V (as the press brake force tool); force per metre = F ÷ L.
  4. Example: 3 mm sheet on a 24 mm die bends to about 3.84 mm inside radius with 224.44 kN.

Limitations

  • Air bending rules of thumb; bottoming and coining need several times more force.
  • Radius and flange shares vary with material and tooling.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Choose a die for a new sheet-metal part
  • Check the minimum flange a die allows
  • Confirm press brake tonnage before bending

Who it is for

  • Press brake operators
  • Fabrication supervisors
  • Sheet-metal designers

What you get

  • Die opening chosen
  • Inside radius and minimum flange
  • Bending force, force per metre and checks

Interpreting the result

  • A wider die lowers force and raises the inside radius; a narrower die does the reverse.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 1346–1353, 1383–1386. Topic reference; no source tables or recommended settings are reproduced.

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Open the Press Brake Set-up: Die, Radius, Flange and Tonnage calculator