Deep Drawing Force Calculator

Work out deep drawing force instantly with clear inputs, formula shown and shareable results.

About Deep Drawing Force Calculator

Deep drawing force is commonly taken as pi x cup diameter x thickness x tensile strength x (blank/cup ratio - 0.7). The empirical 0.7 accounts for the fact that not all of the blank has to be drawn in. Blank holder force is typically about 30 percent of the draw force: enough to prevent wrinkling without locking the metal in place.

Formulas

Drawing force

F = pi x d x t x UTS x (D/d - 0.7)

D: Blank diameter
d: Cup diameter
t: Thickness

Blank holder

F holder = about 0.3 x drawing force

Worked example

With the default values below, Deep Drawing Force Calculator returns Drawing force required of 63.77. Change any input above and every figure here is recalculated in your browser.

Inputs used

Blank diameterminimum 1 mm: 100 mm
Drawn cup diameterminimum 1 mm: 60 mm
Material thicknessminimum 0.05 mm: 1 mm
Material tensile strengthminimum 10 MPa: 350 MPa

Results

Drawing force required: 63.77 kN
Draw ratio: 1.667
Blank holder force: 19.13 kN
Diameter reduction: 40.0% %

Step by step

1Values used
2Drawing force
3Blank holder
4Drawing force required= 63.77 kN
5Draw ratio= 1.667
6Blank holder force= 19.13 kN
7Diameter reduction= 40.0 %

Assumptions and limits

The result is derived only from the 4 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
Figures are rounded for display to 3 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

How is the Deep Drawing Force figure worked out?

F = pi x d x t x UTS x (D/d - 0.7). Deep drawing force is commonly taken as pi x cup diameter x thickness x tensile strength x (blank/cup ratio - 0.7).

How deep can one draw go?

A draw ratio above roughly 2.0 tears the wall. Deeper cups are made in successive redraw operations, each reducing the diameter by 20-30 percent.

What values do I need to enter?

This calculator takes 4 inputs: Blank diameter, Drawn cup diameter, Material thickness, Material tensile strength. The pre-filled defaults are a realistic worked example — replace them with your own site or project figures.