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Manufacturing processesReading time 12 min

Why a flat pattern is not just the sides added together

Of all the errors that can happen to a sheet-metal part, the most expensive is cutting the blank wrong, because at that point no later operation can save it.

Wikimedia Commons・High-tonnage press brake・CC BY-SA 4.0

01Why the flat length is not the sum of the sides

When metal is bent the outside stretches and the inside compresses, and somewhere between them is a layer whose length does not change, the neutral axis. Flat length is the developed length of that layer, and the neutral axis is not in the middle of the thickness; it sits towards the inside.

TermSymbolMeaning
ThicknessTMaterial thickness
Inside radiusRRadius of the corner on the inside of the bend
Bend angleAHow many degrees it bent through (not the included angle)
K factorKNeutral axis position ÷ thickness, between 0 and 0.5
Bend allowanceBAArc length of the neutral axis through the bend
Bend deductionBDWhat to subtract after adding the two outside lengths
The K factor is the heart of the calculation, and the reason every shop's numbers differ.

Two ways to calculate

  • Bend allowance method. Flat length = the two flat lengths + BA, where BA = A × (π/180) × (R + K×T).
  • Bend deduction method. Flat length = the two outside lengths − BD. Shops use deduction more often, because outside dimensions can be measured directly.

02The inside radius is not whatever you write

In air bending the inside radius is set not by the punch but by the die opening, the natural radius is roughly 0.16 times the opening. So a very small R on the drawing, without the tooling to match, simply cannot be produced.

MaterialsMinimum inside radius (× thickness)What it asks
Soft aluminium 1050 / 30030.5 T ~ 1 TVery ductile
Aluminium 50521 T ~ 2 TThe usual sheet-metal aluminium
Aluminium 6061-T62 T ~ 4 THard, cracks easily
Mild steel SPCC0.5 T ~ 1 TThe easiest to bend
Stainless SUS3041 T ~ 2 TLarge springback
High-strength steel2 T and aboveDepends on grade
Below these radii the outside is prone to cracking, and bending along the rolling direction cracks more easily still.

Springback

Release the press and the material springs back a few degrees. The stronger the material, the thinner the sheet and the larger the radius, the worse it gets. SUS304 bent to 90° may have to be over-bent to 92–94° to settle at 90°. Bottoming and coining reduce springback dramatically, at the cost of far higher tonnage.

03Design rules: these distances cannot be too small

ItemSuggested minimumWhat happens if you ignore it
Hole to bend line2.5 T + RThe hole is drawn into an oval
Shortest bent flange4 T including the radiusCannot be gripped or formed
Between two bends6 TTooling interference
Notch width1.5 TTearing
Slot depth5 TEdge distortion
T is the thickness. These are general rules; the real limits depend on tooling and machine.

Two other common problems: no relief cut at the end of a bend, which tears the material where the bend line runs out; and no thought given to bend sequence, so a later bend cannot be made because the tooling hits an already-formed section. Both are visible at drawing review.

04What a sheet-metal drawing should carry

  1. Thickness and material grade, including surface condition such as SPCC-SD.
  2. Flat pattern or flat length, if the customer does not supply it, you must calculate it, and the K factor has to match your own machine.
  3. Bend lines and direction (up or down), preferably with angle and inside radius.
  4. Datum for hole positions, which face, after bending, they are measured from.
  5. Deburring and surface treatment requirements, and whether dimensions are before or after treatment.