BIZOMAT MAKEOS · Fabrication

Deep Drawing and Ironing Punch Force

What punch force does this drawing or ironing operation need?

Punch force for the first draw of a cylindrical shell, for a subsequent (redraw) operation from blank and punch diameters, and for ironing a drawn wall to a thinner gauge, by the handbook formulas, with the drawing ratio and press capacity check.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
OperationchoiceChoose the operation.
Material thicknessmmMaterial thickness entering the operation.
Ultimate tensile strengthMPaUltimate tensile strength of the sheet.
Mean shell diameter after the first drawmmMean diameter of the shell after the first draw.
Punch diameter (redraw)mmPunch diameter for the redraw.
Blank diameter (redraw)mmOriginal blank diameter.
Outside diameter of the cup (ironing)mmOutside diameter of the cup being ironed.
Punch-to-die clearance after ironingmmRadial clearance between punch and die, i.e. the wall thickness after ironing.
Compressive strength (ironing)MPaCompressive strength of the work-hardened wall.
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: Operation
Illustration: OperationThe options for Operation, with the one currently selected highlighted.First drawSubsequent drawIroningExample: First drawOperation
What it is
The press operation being sized: the first draw from a flat blank, a later redraw to a smaller diameter, or ironing to thin the wall.
Units and format
Choose one of 3 options from the list: First draw; Subsequent draw; Ironing.
Example
The form opens with “First draw” selected as a worked example. Choose the option that matches your case.
What this means: Material thickness
Illustration: Material thicknessThe cross-section of a plate or wall with a dimension across its thickness, marking Material thickness.Tsection through the materialExample: 1.5 mmMaterial thickness
What it is
The thickness of the sheet or wall entering the operation; for ironing, the wall thickness before it is thinned.
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 1.5 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
The first-draw and redraw forces rise in proportion.
What this means: Ultimate tensile strength
Illustration: Ultimate tensile strengthA test bar pulled from both ends: stress Ultimate tensile strength is the force carried by each square millimetre of its cross-section.σstress = force ÷ areaExample: 350 MPaUltimate tensile strength
What it is
The ultimate tensile strength of the sheet material, used for the first-draw and redraw forces.
Units and format
Enter a number in MPa: megapascals (1 MPa = 1 N/mm²). The form accepts 0.000001 MPa to 3000 MPa. Required: the tool does not calculate until every input is valid.
Example
The form opens with 350 MPa as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
The first-draw and redraw forces rise in proportion.
Get it right
Use the supplier’s certified value for the actual material and temper.
What this means: Mean shell diameter after the first draw
Illustration: Mean shell diameter after the first drawA circle with a line straight through its centre from edge to edge, marking the diameter Mean shell diameter after the first draw.d_mmeasured acrossthe centreExample: 80 mmMean shell diameter after the first draw
What it is
The mean diameter of the shell formed by the first draw, measured to the middle of the wall: outside diameter minus one thickness.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 10000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 80 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
The first-draw force rises in proportion.
What this means: Punch diameter (redraw)
Illustration: Punch diameter (redraw)A circle with a line straight through its centre from edge to edge, marking the diameter Punch diameter (redraw).d_pmeasured acrossthe centreExample: 60 mmPunch diameter (redraw)
What it is
The diameter of the punch for a subsequent draw, which sets the new inside diameter of the shell.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 10000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 60 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
What this means: Blank diameter (redraw)
Illustration: Blank diameter (redraw)A circle with a line straight through its centre from edge to edge, marking the diameter Blank diameter (redraw).Dmeasured acrossthe centreExample: 120 mmBlank diameter (redraw)
What it is
The diameter of the original flat blank, compared with the redraw punch diameter in the subsequent-draw formula. It must be larger than the punch.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 10000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 120 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
What this means: Outside diameter of the cup (ironing)
Illustration: Outside diameter of the cup (ironing)A circle with a line straight through its centre from edge to edge, marking the diameter Outside diameter of the cup (ironing).d₀measured acrossthe centreExample: 62 mmOutside diameter of the cup (ironing)
What it is
The outside diameter of the drawn cup as it goes into the ironing die.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 10000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 62 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
What this means: Punch-to-die clearance after ironing
Illustration: Punch-to-die clearance after ironingTwo parts separated by a small gap with a dimension across the gap, marking Punch-to-die clearance after ironing.cExample: 1.2 mmPunch-to-die clearance after ironing
What it is
The radial gap between the ironing punch and die, which equals the wall thickness after ironing; it must be less than the incoming thickness.
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 1.2 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
The ironing force falls as it approaches the incoming thickness, because the force depends on the thickness removed.
What this means: Compressive strength (ironing)
Illustration: Compressive strength (ironing)A test bar pulled from both ends: stress Compressive strength (ironing) is the force carried by each square millimetre of its cross-section.S_cstress = force ÷ areaExample: 400 MPaCompressive strength (ironing)
What it is
The compressive strength of the work-hardened wall material being ironed, used only for the ironing force.
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 400 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 material test data for the drawn condition, not the annealed sheet.
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 capacity of the press that will do the operation; the punch force is compared with it.
Units and format
Enter a number in kN: kilonewtons (1 kN = 1000 N). The form accepts 0.000001 kN to 1000000 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 rating applies at the point of the stroke where the peak force occurs.

Method and formulas

  1. First draw: F₁ = π d_m T × UTS.
  2. Subsequent draw: F = π d_p T × UTS × (D ÷ d_p − 0.7).
  3. Ironing: F = π d₀ (T − c) S_c.
  4. Example: a first draw at 80 mm mean diameter in 1.5 mm sheet needs about 131.95 kN.

Limitations

  • Friction and blank-holder force are not included; allow a margin on the press rating.
  • Drawing limits depend on the material and die radii; confirm with trials.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Choose a press for a drawn shell
  • Estimate forces for each operation in a draw sequence
  • Check whether ironing fits the available press

Who it is for

  • Fabrication supervisors
  • Manufacturing engineers
  • Estimators

What you get

  • Punch force
  • Drawing ratio or wall reduction
  • Press utilisation

Interpreting the result

  • Keep peak force well within the press rating at the point in the stroke where it occurs.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 1353–1361. Topic reference; no source tables or recommended settings are reproduced.

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Open the Deep Drawing and Ironing Punch Force calculator