BIZOMAT MAKEOS · Fabrication

Punching Operation Plan (Force, Stripping, Punch Stress, Clearance)

What force does this punching operation need with stripping, is the punch strong enough, what die clearance should I use, and is the press big enough?

Plan of a piercing or blanking operation: cut perimeter for a round or rectangular punch, cutting force with a factor for tool wear (as the punching force tool), stripping force as a share of it, total press load for the punches working together, compressive stress in the punch against your allowable and the smallest round punch for the thickness, die clearance per side from your percentage of thickness, the die opening, and the energy per hit from the penetration before breakthrough.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Punch shapechoiceRound or rectangular punch.
Punch diameter (round)mmDiameter of a round punch.
Punch length (rectangular)mmLength of a rectangular punch.
Punch width (rectangular)mmWidth of a rectangular punch.
Punches cutting togetherNumber of punches that cut at the same moment.
Sheet thicknessmmSheet thickness.
Shear strength of the sheetMPaShear strength of the sheet (often about 0.7–0.8 of tensile strength).
Wear (dull tool) factorAllowance for punch and die wear (as in the punching force tool).
Stripping force share%Force to strip the sheet off the punch as a share of the cutting force (your value; typically 5–20%).
Allowable punch compressive stressMPaAllowable compressive stress for the punch steel and hardness (your value).
Die clearance per side% of tClearance between punch and die on each side as a share of thickness (your value for the material and edge quality).
Penetration before breakthrough% of tShare of the thickness the punch enters before the slug breaks out.
Press capacitykNRated capacity of the press.

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: Punch shape
Illustration: Punch shapeThe options for Punch shape, with the one currently selected highlighted.RoundRectangularExample: RoundPunch shape
What it is
Whether the punch is round or rectangular, which decides how the cut perimeter and punch face area are worked out.
Units and format
Choose one of 2 options from the list: Round; Rectangular.
Example
The form opens with “Round” selected as a worked example. Choose the option that matches your case.
Get it right
Only the size inputs for the chosen shape are used; the others are ignored.
What this means: Punch diameter (round)
Illustration: Punch diameter (round)A circle with a line straight through its centre from edge to edge, marking the diameter Punch diameter (round).dmeasured acrossthe centreExample: 20 mmPunch diameter (round)
What it is
The diameter of a round punch, which gives the length of the cut edge and the punch face area.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 2000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 20 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A larger punch raises the cutting force but lowers the punch stress.
Get it right
Used only for a round punch. The die opening is this diameter plus twice the clearance per side.
What this means: Punch length (rectangular)
Illustration: Punch length (rectangular)A bar with a dimension line and arrows from one end to the other, marking the length Punch length (rectangular).aExample: 30 mmPunch length (rectangular)
What it is
The longer side of a rectangular punch face, which with the width sets the cut perimeter and face area.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 2000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 30 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A longer punch raises the cutting force.
Get it right
Used only for a rectangular punch. Corner radii are ignored.
What this means: Punch width (rectangular)
Illustration: Punch width (rectangular)A bar with a dimension line and arrows from one end to the other, marking the length Punch width (rectangular).bExample: 10 mmPunch width (rectangular)
What it is
The shorter side of a rectangular punch face, measured at right angles to the punch length.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 2000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 10 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A wider punch raises the cutting force but lowers the punch stress.
Get it right
Used only for a rectangular punch; narrow punches carry the highest compressive stress.
What this means: Punches cutting together
Illustration: Punches cutting togetherA row of identical items being counted; Punches cutting together is how many there are.nExample: 1Punches cutting together
What it is
How many punches cut through the sheet at the same moment in one press stroke. Their forces and energies add.
Units and format
Enter a plain number with no unit. The form accepts 1 to 200. Use a whole number. Required: the tool does not calculate until every input is valid.
Example
The form opens with 1 as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
The press load and energy rise in direct proportion.
Get it right
Count only punches that cut together; punches stepped in length cut one after another.
What this means: Sheet thickness
Illustration: Sheet thicknessThe cross-section of a plate or wall with a dimension across its thickness, marking Sheet thickness.tsection through the materialExample: 2 mmSheet thickness
What it is
The thickness of the sheet being punched. It also sets the clearance and the penetration distance, which are entered as shares of it.
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 2 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
The cutting force rises in direct proportion to thickness.
Get it right
Measure the actual sheet rather than relying on nominal gauge.
What this means: Shear strength of the sheet
Illustration: Shear strength of the sheetA test bar pulled from both ends: stress Shear strength of the sheet is the force carried by each square millimetre of its cross-section.τstress = force ÷ areaExample: 300 MPaShear strength of the sheet
What it is
The shear strength of the sheet material, the stress at which it parts in shear along the cut edge.
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 300 MPa as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
The cutting force rises in direct proportion to it.
Get it right
Use shear strength, not tensile strength; take it from the material data sheet or tests.
What this means: Wear (dull tool) factor
Illustration: Wear (dull tool) factorTwo bars: a base value and the same value multiplied by Wear (dull tool) factor, the factor.base valuewith factor×Example: 1.2Wear (dull tool) factor
What it is
A multiplier on the theoretical cutting force to allow for punches and dies that have worn dull between sharpenings.
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 1.2 as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Cutting force, stripping force and press load rise in direct proportion.
Get it right
Use your shop’s value; 1 means a sharp tool with no allowance.
What this means: Stripping force share
Illustration: Stripping force shareA bar of 100 parts with the share marked; Stripping force share is that share out of 100. The bar follows the value you type.0 %100 %Example: 10%Stripping force share
What it is
The force needed to pull the punch back out of the sheet after the cut, as a share of the cutting force.
Units and format
Enter a number in %: percent: the number is read as a percentage, so type 8 for 8 %. The form accepts 0% to 50%. Required: the tool does not calculate until every input is valid.
Example
The form opens with 10% as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A larger share raises the total press load.
Get it right
Type the percentage itself. It is added to the cutting force for the press load.
What this means: Allowable punch compressive stress
Illustration: Allowable punch compressive stressA test bar pulled from both ends: stress Allowable punch compressive stress is the force carried by each square millimetre of its cross-section.σstress = force ÷ areaExample: 1500 MPaAllowable punch compressive stress
What it is
The compressive stress the punch steel can carry at its hardness, used for the punch stress check and the smallest round punch.
Units and format
Enter a number in MPa: megapascals (1 MPa = 1 N/mm²). The form accepts 0.000001 MPa to 5000 MPa. Required: the tool does not calculate until every input is valid.
Example
The form opens with 1500 MPa as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Take it from the tool steel supplier for the grade and hardness; slender punches may also need a buckling check.
What this means: Die clearance per side
Illustration: Die clearance per sideTwo parts separated by a small gap with a dimension across the gap, marking Die clearance per side.cExample: 6 % of tDie clearance per side
What it is
The gap between punch and die on each side, as a share of sheet thickness. It sets the die opening and affects edge quality.
Units and format
Enter a number in % of t: % of t. The form accepts 1 % of t to 20 % of t. Required: the tool does not calculate until every input is valid.
Example
The form opens with 6 % of t as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
This is per side, not total: the die opening is the punch size plus twice this clearance.
What this means: Penetration before breakthrough
Illustration: Penetration before breakthroughA bar of 100 parts with the share marked; Penetration before breakthrough is that share out of 100. The bar follows the value you type.0 %100 %Example: 40 % of tPenetration before breakthrough
What it is
How far the punch enters the sheet before the slug breaks free, as a share of sheet thickness. It sets the energy needed per hit.
Units and format
Enter a number in % of t: % of t. The form accepts 10 % of t to 100 % of t. Required: the tool does not calculate until every input is valid.
Example
The form opens with 40 % of t as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Energy per hit rises in direct proportion to it.
Get it right
Type the percentage of thickness. Harder, less ductile materials break out sooner.
What this means: Press capacity
Illustration: Press capacityA block with an arrow pushing on it; the arrow is the force Press capacity.FExample: 250 kNPress capacity
What it is
The rated force of the press, compared with the total cutting plus stripping load of all punches.
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 250 kN as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Check that the press can deliver this force at the height in the stroke where the cut happens.

Method and formulas

  1. Perimeter: π d (round) or 2(a + b) (rectangular); cutting force F = perimeter × t × τ × wear factor (as the punching force tool).
  2. Stripping = share × F; press load = (F + stripping) × punches.
  3. Punch stress = F ÷ punch area; smallest round punch d_min = 4 t τ × factor ÷ σ_allow.
  4. Clearance per side = share × t; die opening = punch + 2 × clearance; energy per hit ≈ F × penetration × t.
  5. Example: a 20 mm hole in 2 mm sheet takes 45.239 kN plus 4.5239 kN stripping; the punch runs at 144 MPa.

Limitations

  • Flat-faced punches; shear angles on the punch or die lower the peak force.
  • Clearance shares vary by material and the edge quality wanted.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Size a press for a piercing tool
  • Check a small punch for crushing
  • Set die clearance for a material thickness

Who it is for

  • Press tool designers
  • Sheet-metal engineers
  • Press operators

What you get

  • Cutting, stripping and total press force
  • Punch stress and smallest round punch
  • Clearance, die opening and energy

Interpreting the result

  • When the punch diameter nears the sheet thickness, the punch itself becomes the weak link.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 1338–1346. Topic reference; no source tables or recommended settings are reproduced.

Learn the Concepts Behind This Tool

These BIZOMAT Library readings explain the method this tool uses, with worked examples.

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Open the Punching Operation Plan (Force, Stripping, Punch Stress, Clearance) calculator