DIN 6935 Bend Allowance Calculator — Cold Bending of Flat Steel
DIN 6935 — Cold bending of flat products made of steel
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DIN 6935 is the German standard for the cold bending of flat-rolled steel products. It defines the neutral-axis (K-factor) method for computing bend allowance and flat blank length — locating the neutral fibre at a fraction K of the sheet thickness from the inside surface, then integrating the arc length at that radius over the bend angle. The standard also tabulates minimum permissible inside bend radii as a function of sheet thickness, material tensile class, and bending direction relative to the rolling direction, giving designers the dimensional basis on which press-brake and folding-machine work is specified.
DIN 6935 is the method cited in German-speaking and European sheet-metal shops for flat-pattern layout: when a drawing callout references a K-factor or a minimum bend radius for S235, S355, or similar structural steel grades, it is this standard that governs. MechanixCalc computes a K-factor flat pattern (neutral-axis arc length, bend allowance, bend deduction) with the DIN 6935 neutral-fibre correlation available as an opt-in K suggestion — the K you enter is used unless you accept the suggestion. It is not a tabulated DIN 6935 Ausgleichswert calculation. The tool also provides Gardiner springback, punching force, deep drawing (Sachs) and forming-limit-diagram assessment, which are not DIN 6935 methods, and exports a shareable PDF report.
Video walkthrough (4:11)
- 0:00 OK in steel, cracks in aluminium
- 0:31 Neutral axis, K-factor and the minimum radius
- 0:50 Step 1 — Material, thickness and temper
- 1:17 Step 2 — Bend: radius, angle, K, flat blank
- 1:40 Step 3 — Checks: R/t and springback
- 1:53 What if: aluminium 6061-T6, then the fix
- 2:30 Step 4 — Springback and the DIN 6935 K-factor
- 3:00 Punching: press tonnage
- 3:21 Deep drawing: draw ratio and blank
- 3:53 PDF report
Read the transcript
Here's a 90° bend in 2 mm mild steel, with a 4 mm inside radius. The tool says it's OK.
Now make the exact same bend in aluminium 6061-T6. It fails. The outside of the bend will crack.
This is the MechanixCalc sheet metal calculator. It works out the flat blank you need to cut, and it checks the bend radius and the springback. It also covers punching and deep drawing. Let's go through it, step by step.
When sheet metal bends, the outside is stretched and the inside is squeezed. Somewhere in between, one layer keeps its length. That is the neutral axis.
It sits at K times the thickness from the inside, and its length is your flat blank. If the bend is too tight for the material, the stretched outside cracks.
Step one is the material. Mild steel, 2 mm thick. The material sets the stiffness and the strength, and that drives the springback.
The temper matters most. It isn't picked yet, so the tool assumes full-hard, the strictest case. The verdict is CHECK, in amber.
Set the temper to soft, annealed. Now the sheet can bend as tight as half its thickness, and the verdict turns green. It's OK.
Step two is the bend itself. A 4 mm inside radius, bent to 90°. The K-factor of 0.4 puts the neutral axis at 40 % of the thickness.
The two flanges are 50 and 80 mm long. So the flat blank you cut is 125.54 mm. That's shorter than the two flanges added up.
Step three shows the checks. The radius over the thickness, R over t, is 2, and soft steel only needs 0.5. Springback is just 0.54°. So this bend is OK.
Now switch the material to aluminium 6061-T6, and keep the same 4 mm radius.
This alloy needs a radius of at least 3 times its thickness. At R over t of 2, it FAILS, too tight. The outside of the bend will crack.
So open the radius up to 6 mm. R over t is now 3, exactly on the minimum. The verdict is CHECK, in amber. Right on the limit.
Go to 9 mm, and the verdict turns green. The flat blank gets a little shorter, at 123.39 mm.
Step four is springback. With the bigger radius, the part springs back 4.42° when the press opens. So you bend it to 94.64°, to land on 90°.
Springback and the minimum radius are engineering estimates. And the page labels them that way.
DIN 6935 gives a K-factor for this R over t, 0.488. Apply it, and the flat blank becomes 123.67 mm.
Punching is its own module. A 20 mm hole in 2 mm steel needs 4.1 tonnes of press force. On a 200 tonne press, that's only 2 %.
Put the same hole on a small 4 tonne press, and it needs 103 % of its rating. That's OVER CAPACITY. Don't run it.
Deep drawing turns a flat blank into a cup. A 60 mm cup, 30 deep, from a 108 mm blank, draws in a single hit. The draw ratio is 1.8, under the limit of 2.1.
Make the cup 40 deep, and the same blank comes up 6.89 mm short. The tool says BLANK TOO SMALL.
What the tool does not check is listed too: hole-to-bend distance, press-brake force, grain direction and more. So silence never reads as a pass.
Every input, every formula and every check goes into a PDF report. A report your reviewer can follow.
That's a bent part, checked. Try it on your own parts, on MechanixCalc.com.
What DIN 6935 covers
- Neutral-fibre shift as a function of the ratio of inside bend radius to sheet thickness (r/t), and the developed flat-blank length derived from it. DIN 6935's k (the shift of the neutral line from mid-thickness) and the neutral-axis K-factor K (position from the inside surface, t_n/t) are different quantities that share a letter; the tool's suggestion converts with K = k/2, and the stored K is used in the arc-length form
- Minimum permissible inside bend radii for cold bending. The tool's own minimum-radius table is a generic per-material reference for thin sheet: it has no tensile-class or rolling-direction dependence and no thickness band, so confirm the minimum radius with the supplier for plate or a specific grain direction
- Outside setback (OSSB) and bend deduction (BD) are press-brake constructs, not DIN 6935 terminology; the MechanixCalc sheet-metal tool reports them alongside the neutral-axis bend allowance
- Applicability to structural and engineering steels (S235, S355 and similar) in thicknesses used for cold forming
- Bend angle range — the geometric constraints on OSSB validity (bends up to approximately 170°) and the requirement to form in the valid yielding region
Governing formulas
R_n = R + K · twhere R_n = neutral-axis bend radius (mm); R = inside bend radius (mm); K = K-factor, the fractional position of the neutral axis from the inside surface (typically 0.33–0.50; 0.38–0.40 for standard press-brake air bending of steel); t = sheet thickness (mm)
BA = (α · π / 180) · R_nwhere BA = bend allowance, the arc length of material consumed in the bend (mm); α = bend angle (°); R_n = neutral-axis radius (mm). For a 90° bend: BA = (π/2) · (R + K · t).
L_flat = L₁ + L₂ − BD, BD = 2 · OSSB − BA, OSSB = tan(α / 2) · (R + t)where L_flat = total flat blank length (mm); L₁, L₂ = flange lengths measured to the outside mould line (mm); BD = bend deduction (mm); OSSB = outside setback — the distance from the outside-mould-line intersection to the edge of the bend zone (mm). Valid for α < 180°; OSSB → ∞ as α → 180°.
Frequently asked questions
What is DIN 6935 used for?
DIN 6935 is used as the basis for the flat blank length and flat-pattern layout of cold-bent sheet steel parts. It relates the neutral-fibre shift to the bend ratio r/s — locating the neutral fibre at a fraction K of the sheet thickness from the inside surface and integrating its arc length over the bend angle — so that the flat blank, when bent, yields the correct final dimensions. The standard also addresses minimum inside bend radii to prevent cracking; the MechanixCalc minimum-radius check uses its own generic per-material table, without tensile class or rolling direction.
What is the K-factor in DIN 6935 and how do I choose the right value?
The K-factor positions the neutral axis as a fraction of the sheet thickness from the inside of the bend: K = 0.33 for tight bends (small R/t) in soft material with air bending; K = 0.38–0.40 for typical press-brake work on mild and structural steel; K = 0.50 for large-radius bends and coining. For standard press-brake air bending of S235 or S355 with R/t ≈ 1–3, K = 0.40 is the most commonly cited value. An incorrect K is the largest single source of flat-blank length error in sheet-metal fabrication.
What is the difference between bend allowance and bend deduction?
Bend allowance (BA) is the length of material consumed in the bend zone — the arc length at the neutral-axis radius. Bend deduction (BD) is the amount by which the sum of the two flange lengths (measured to their outside-mould-line intersection) exceeds the flat blank length: BD = 2 · OSSB − BA. Flat blank length = L₁ + L₂ − BD. If you measure flanges to inside dimensions rather than outside-mould-line dimensions, you add BA instead of subtracting BD; both methods are equivalent when applied consistently.
Does DIN 6935 also cover springback?
DIN 6935 itself deals with the flat-pattern geometry (K-factor method, minimum radii) and does not define a springback prediction formula. Springback for air bending of flat steel is commonly calculated using the Gardiner (1957) elastic–perfectly-plastic plane-strain relation Ri/Rf = 1 − 3x + 4x³, where x = Sy·Ri/(E·t), with the angle following from the unchanged neutral-fibre length on the bend's K-factor, αf/αi = (Ri + K·t)/(Rf + K·t). The MechanixCalc sheet metal calculator applies this model on its springback tab — alongside the DIN 6935 flat-pattern calculation — and reports the required overbend angle and a validity warning when the operating point leaves the model's domain.
Is the DIN 6935 sheet metal calculator free?
You can use every tab of the sheet metal calculator for a free 30-minute preview with no sign-up required. A free 14-day account trial (no credit card needed) gives unlimited access to all calculators. The branded PDF engineering report showing the substituted bend-allowance values, and the ability to save and reload calculations, are included in the free 14-day trial and in every paid plan.
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