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K-Factor and Bend Allowance for Sheet Metal Bending

K factors by material and thickness for air bending, bottoming and coining per DIN 6935, with bend allowance and deduction worked examples for 90-degree bends.

K factors by material, thickness and bend method (calculated DIN 6935 + published ranges)

Materialt (mm)V die (mm)R_i (mm)R/tK DIN 6935K air (DIN ↔ published)K bottomingK coiningy = K·t (mm)Source
DC01 mild steel0.560.961.920.400.40–0.430.44–0.470.41–0.460.20S1/S2/S3
DC01 mild steel0.860.961.200.340.34–0.430.44–0.470.41–0.460.27S1/S2/S3
DC01 mild steel1.081.281.280.350.35–0.430.44–0.470.41–0.460.35S1/S2/S3
DC01 mild steel1.5121.921.280.350.35–0.430.44–0.470.41–0.460.53S1/S2/S3
DC01 mild steel2.0162.561.280.350.35–0.430.44–0.470.41–0.460.70S1/S2/S3
DC01 mild steel3.0254.001.330.360.36–0.430.44–0.470.41–0.461.07S1/S2/S3
DC01 mild steel4.0325.121.280.350.35–0.430.44–0.470.41–0.461.40S1/S2/S3
DC01 mild steel6.0508.001.330.360.36–0.430.44–0.470.41–0.462.14S1/S2/S3
DX51D+Z galvanized0.860.961.200.340.34–0.430.44–0.470.41–0.460.27S1/S2/S3
DX51D+Z galvanized1.5121.921.280.350.35–0.430.44–0.470.41–0.460.53S1/S2/S3
DX51D+Z galvanized3.0254.001.330.360.36–0.430.44–0.470.41–0.461.07S1/S2/S3
304 stainless0.881.602.000.400.40–0.450.46–0.480.44–0.470.32S1/S2/S3
304 stainless1.5163.202.130.410.41–0.450.46–0.480.44–0.470.61S1/S2/S3
304 stainless3.0326.402.130.410.41–0.450.46–0.480.44–0.471.23S1/S2/S3
316L stainless1.0102.102.100.410.41–0.450.46–0.480.44–0.470.41S1/S2/S3
316L stainless2.0204.202.100.410.41–0.450.46–0.480.44–0.470.82S1/S2/S3
316L stainless3.0326.722.240.410.41–0.450.46–0.480.44–0.471.23S1/S2/S3
5052-H32 aluminium0.860.961.200.340.34–0.400.42–0.460.38–0.440.27S1/S2/S3
5052-H32 aluminium1.5121.921.280.350.35–0.400.42–0.460.38–0.440.53S1/S2/S3
5052-H32 aluminium3.0254.001.330.360.36–0.400.42–0.460.38–0.441.07S1/S2/S3
6061-T6 aluminium *1.0101.801.800.390.39–0.450.46–0.480.44–0.470.39S1/S2/S3
6061-T6 aluminium *2.0203.601.800.390.39–0.450.46–0.480.44–0.470.78S1/S2/S3
6061-T6 aluminium *3.0325.761.920.400.40–0.450.46–0.480.44–0.471.20S1/S2/S3
C110 copper1.081.281.280.350.35–0.400.42–0.460.38–0.440.35S1/S2/S3
C110 copper2.0162.561.280.350.35–0.400.42–0.460.38–0.440.70S1/S2/S3
C260 brass1.081.281.280.350.35–0.400.42–0.460.38–0.440.35S1/S2/S3
C260 brass2.0162.561.280.350.35–0.400.42–0.460.38–0.440.70S1/S2/S3
How to read this table. These are calculated values plus published starting ranges, not measured K factors. K DIN 6935 = (0.65 + 0.5·log10(R/t))/2; V and R_i follow the 8×t rule and the 16% × V radius estimate (20–21% × V for stainless); thin sheet takes the smallest practical V6/V8 die instead of 8×t. K air pairs the DIN low end with the published t–3t tier high end; bottoming and coining are published starting values for R/t ≥ 1. y = K × t is measured from the inside surface. The 6061-T6 rows (*) borrow the hard tier as an envelope — DIN 6935 targets ductile medium-strength alloys, so test-bend 6061-T6 before committing. Do not quote 0.44 as a mild-steel K: it is a historical CAD default.

What K-factor should I use for 2 mm mild steel in air bending?

At R/t = 1 (R = 2 mm), DIN 6935 gives K = 0.325 (0.33 rounded); the common CAD default 0.44 adds about 0.36 mm per 90° bend. Full flat-pattern check below.

StepQuantityValueNote
1R/t2.0 / 2.0 = 1.00DIN 6935: k = 0.65 + 0.5·log10(1.00) = 0.65
2K = k/20.325Table value rounds to 0.33; this example carries the unrounded value
3BA = (π/180)·A·(R + K·t), A = 90°4.163 mm1.5708 × 2.65
4OSSB = (R + t)·tan(A/2)4.000 mm4.0 × tan 45°
5Flat legs from 50/30 outside46.000 / 26.000 mmA_flat = 50 − OSSB, B_flat = 30 − OSSB
6L = A + B + BA76.16 mmBD = 2×4.000 − 4.163 = 3.837; 50 + 30 − 3.837 = 76.163 ✓
7If CAD default K = 0.44L = 76.52 mm (+0.361)BA = 4.524 mm; four bends accumulate about 1.4 mm

Why do CAD programs default to a K-factor of 0.44?

It is a historical mild-steel default (0.44–0.45), not a universal value: for 5052 aluminium the same default is about 0.33–0.40, and for 304 stainless 0.40–0.45. DIN 6935 at R/t = 1 gives 0.325 — do not average the two calibers; test-bend and back-solve instead.

ConditionWhich KTypical valueNext step
Ductile mild steel, air bending, R/t 0.5–3DIN 6935 Table / formula0.25–0.40Test bend, back-solve the real K
Mild steel, CAD default, V = 6–8tPublished medium air (t–3t)0.43 (defaults 0.44–0.45)Use only when tooling and material match; otherwise switch to DIN
304/316 stainless, air bendingDIN 6935 at R/t 2.0–2.20.40–0.41 (316 shop data up to 0.50)Check springback, cracking and die wear
5052-H32 aluminium, air bendingDIN 6935 at R/t 1.2–1.30.34–0.36Check cracking; soft temper takes the low end
6061-T6 aluminium, air bendingPublished hard air / DIN upper bound0.39–0.45Test bend mandatory; T6 cracks — prefer a larger radius
C110 copper / C260 brassDIN 6935 at R/t 1.280.35Confirm annealed temper; hard temper takes the upper bound
BottomingPublished t–3t tier of the class0.42–0.48Never reuse an air-bending K
CoiningPublished t–3t tier of the class0.38–0.47Note coining sits below bottoming in the published table (see the coin-vs-bottom question)
R/t > 5K = 0.500.50Neutral axis back at mid-thickness
R/t < 0.5DIN Table low end0.15–0.25High cracking risk — open the radius or change material
New material / new tooling / no dataTest bend, back-solvemeasuredLock the measured K into the CAD material library

How does K-factor change with inside radius?

It rises toward 0.50 as R/t reaches 5: DIN 6935 gives K 0.25 at R/t = 0.5, 0.33 at 1.0, 0.40 at 2.0 and 0.45 at 3.0. Interpolate between rows with k = 0.65 + 0.5·log10(R/t), never linearly.

R/tk (DIN 6935)K = k/2y/tNote
0.050.000.000.00Neutral axis on the inside surface; cracking risk — do not design here
0.070.060.030.03Source-table value; the DIN formula itself gives 0.07 (k) at this R/t — upstream document is internally inconsistent here
0.100.150.080.08—
0.200.300.150.15—
0.250.350.180.18—
0.330.410.210.21—
0.500.500.250.25—
0.750.590.300.30—
1.000.650.330.33—
1.250.700.350.35—
1.500.740.370.37—
1.750.770.390.39—
2.000.800.400.40—
2.500.850.430.43—
3.000.890.450.45—
3.500.920.460.46—
4.000.950.480.48—
4.500.980.490.49—
5.001.000.500.50R/t ≥ 5: neutral axis at mid-thickness

What is the difference between air bending, bottoming and coining in K-factor?

Published starting values are 0.33–0.45 for air bending, 0.42–0.48 for bottoming and 0.38–0.47 for coining; never use an air-bend K for bottoming. These are starting values, not standard values.

Material classBend methodR = 0–tR = t–3tR > 3t
Soft (aluminium 5052, copper, brass)Air bending0.330.400.50
Soft (aluminium 5052, copper, brass)Bottoming0.420.460.50
Soft (aluminium 5052, copper, brass)Coining0.380.440.50
Medium (mild steel, galvanized)Air bending0.380.430.50
Medium (mild steel, galvanized)Bottoming0.440.470.50
Medium (mild steel, galvanized)Coining0.410.460.50
Hard (304/316 stainless)Air bending0.400.450.50
Hard (304/316 stainless)Bottoming0.460.480.50
Hard (304/316 stainless)Coining0.440.470.50

How do I calculate bend allowance?

BA = (π/180) × A × (R + K × t); for 2 mm mild steel, R 2 mm, K 0.325, 90° gives 4.163 mm. A is the bend angle — the angle the sheet travels: a 60° included angle means A = 120°.

TermFormulaReading
K factorK = y / t, 0 ≤ K ≤ 0.5Neutral-axis offset from the inside surface over thickness
Neutral radiusR_neutral = R_i + K × tThe arc radius that actually keeps its length
Bend allowance BABA = (π/180) × A × (R_i + K × t)Arc length of the neutral axis through the bend
Outside setback OSSBOSSB = (R_i + t) × tan(A/2)Tangent length from the apex to the bend tangent points
Bend deduction BDBD = 2 × OSSB − BAWhat the two outside corners lose versus the flat pattern
Flat length LL = A + B + BA (flat legs); L = A_out + B_out − BD (outside dims)Both give the same answer when K is right — mixing BA and BD is the classic flat-pattern error
Angle conventionA = 180° − included angle90° bend: A = 90; 60° included: A = 120; 120° included: A = 60

How do I calculate bend deduction?

BD = 2 × OSSB − BA; the same 90° bend has OSSB 4.000 mm and BD 3.837 mm, so 50 + 30 mm outside flanges develop to 76.16 mm. The non-90 example cross-checks the same ledger at A = 120°.

CaseItemValue
90°, t 2.0, R 2.0OSSB = (2+2)·tan45°4.000 mm
90°, t 2.0, R 2.0BD = 2×4.000 − 4.1633.837 mm
90°, t 2.0, R 2.0L = 50 + 30 − 3.83776.163 mm
A=120°, t 1.5, R 3.0, 304K = (0.65 + 0.5·log10 2)/20.4003
A=120°, t 1.5, R 3.0, 304BA = 2.0944 × (3 + 0.4003×1.5)7.541 mm
A=120°, t 1.5, R 3.0, 304OSSB = 4.5 × tan60°7.794 mm
A=120°, t 1.5, R 3.0, 304L = 52.206 + 32.206 + 7.54191.95 mm
A=120°, t 1.5, R 3.0, 304BD check: 60 + 40 − (2×7.794 − 7.541)91.952 mm ✓
A=120°, t 1.5, R 3.0, 304If hard-air K 0.45 insteadL = 92.11 mm (+0.156 vs DIN 0.40: 0.16 mm per bend)

What V-die opening should I use for 2 mm mild steel?

Start at V16 (8 × t); it gives an inside radius near 2.6 mm, a minimum flange over 11 mm and about 12 t/m in 60,000 psi mild steel. Stainless wants V = 10–12×t and a 20–22% radius factor.

t (mm)V (mm)R_i (mm)Min flange (mm)Tonnage (t/m)Source
0.560.96——practical min V6, calc
0.860.96——S3 method, calc
1.081.3> 5.58S3
1.5122.0> 8.510S3
2.0162.6> 11.012S3
2.5203.3> 14.014S3
3.0254.0> 17.516S3
4.0325.0> 22.022S3
5.0406.5> 28.027S3
6.0508.0> 35.032S3

What K-factor should I use for 304 stainless?

Use 0.40–0.45: DIN 6935 gives 0.41 at R/t = 2.1, while the published hard-material starting value is 0.45; 316 runs higher, up to 0.45–0.50 in shop data — take the upper bound and test-bend.

CaliberK at R≈tApplies toSource
Shop-measured caliber0.46304, air bending, R = tS4
Shop-measured caliber0.50316, air bending, R = tS4
Published hard class (t–3t)0.45Generic 304/316 hard tier — does not separate 304 from 316S2/S5
DIN 6935 at R/t = 20.40Geometry only — no work-hardening differenceS1/S6
This page, Table 20.41–0.45316 takes the upper bound; test-bendS1/S2/S3

What K-factor should I use for 5052 aluminium?

Use 0.34–0.40; 5052-H32 at R/t ≈ 1.2 sits near 0.33–0.35, while a generic soft-aluminium table gives 0.40 for R = t–3t. Keep 6061-T6 on its own row — do not mix it with 5052.

CaliberKApplies toSource
Shop-measured (R = t)0.335052-H32, air bendingS4
Published soft air (t–3t)0.40Generic soft aluminiumS2/S5
DIN 6935 (R/t = 1.2)0.345Geometry onlyS1/S6
This page, Table 20.34–0.40Soft temper low end, hard temper or wide V high endS1/S2/S3

Can I use one K-factor for all thicknesses?

Only if V/t and R/t stay constant; a 0.5 mm sheet on a practical V6 die runs R/t ≈ 1.9 and K ≈ 0.40, while 2 mm on V16 runs R/t ≈ 1.3 and K ≈ 0.35. Thickness moves K through the die, not through the formula.

t (mm)V (mm)R_i (mm)R/tK DIN 6935
0.560.961.920.40
0.860.961.200.34
2.0162.561.280.35
3.0254.001.330.36
6.0508.001.330.36

How do I measure the real K-factor for my press brake?

Bend a 200 mm strip at 90°, measure both outside flanges, get BD = 200 − (A + B), then back-solve K from K = [2(R + t)tan(A/2) − BD] / [(π/180)At] − R/t. Write the measured K back into the CAD library and stop reusing 0.44 for that material/tooling pair.

StepRuleValue
1Strip200 × 50 mm, bend at 90° mid-length
2Measure both outside flanges A_out + B_outBD = 200 − (A_out + B_out)
3Back-solveK = [2(R+t)tan(A/2) − BD] / [(π/180)·A·t] − R/t
4Write into CAD material libraryper material + tooling pair

Where is the neutral axis in a bend?

At y = K × t from the inside surface: 2 mm mild steel with K 0.35 puts it 0.70 mm from the inside, so the neutral radius is R + 0.70 mm.

CaseKt (mm)y = K·t (mm)Neutral radius
DC01 2.0 mm, R/t 1.280.352.00.70R + 0.70 mm (R_i 2.56 → neutral 3.26 mm)
DC01 3.0 mm, R/t 1.330.363.01.07R + 1.07 mm
304 1.5 mm, R/t 2.130.411.50.61R + 0.61 mm
DC01 6.0 mm, R/t 1.330.366.02.14R + 2.14 mm

Why does coining sometimes show a lower K than bottoming?

The published table gives coining 0.44–0.47 versus bottoming 0.46–0.48 in the R = t–3t range, which is the opposite of the usual expectation that coining pushes K toward 0.50 — treat it as an unresolved conflict and verify with a test bend.

MethodSoft K (t–3t)Medium K (t–3t)Hard K (t–3t)Source
Bottoming0.460.470.48S2/S5
Coining0.440.460.47S2/S5
Expectation————
Second source confirming the rankingnone foundnone foundnone foundGAP

How to Use These Numbers

  • Table rows are calculated values plus published starting ranges — never present them as measured K factors; the DIN column is a formula value and the published columns are CAD/shop starting values that differ from it by 0.03–0.09.
  • 0.44 is a historical CAD default, not the K-factor of mild steel: DIN 6935 gives 0.325 at R/t = 1. If a CAD flat pattern will not fit the bent part, check which caliber the software used before touching the tooling.
  • Both worked examples use the K values consistent with Table 1 (0.325 at R/t = 1, 0.40 at R/t = 2) — do not swap in 0.44 to make the arithmetic prettier.
  • DIN 6935 targets ductile, medium-strength steels; the aluminium, copper and brass rows borrow only its geometry, with the published ranges covering the hardening difference. 6061-T6 is marked * because no DIN-caliber table exists for it — test-bend is mandatory.
  • Titanium Grade 2, HSLA steels and Inconel have no citable K tables — back-solve K from a test bend instead of guessing; thicknesses above 6 mm, hems, curling and joggles are outside this table's scope.
  • Springback is a separate compensation: K locates the neutral axis but does not give the springback angle; compensate per material and die, not from this table.
  • The DIN 6935 original was not purchased; the formula and k table are verified against two independent public sources (a technical digest and a software implementation that agree value by value) — re-verify against the purchased standard before production-critical use.

Frequently Asked Questions

What K-factor should I use for 2 mm mild steel in air bending?
At R/t = 1 (R = 2 mm), DIN 6935 gives 0.325 (0.33 rounded); the common CAD default 0.44 adds about 0.36 mm per 90° bend.
Why do CAD programs default to a K-factor of 0.44?
It is a historical mild-steel default (0.44–0.45), not a universal value: for 5052 aluminium the same default is about 0.33–0.40, for 304 stainless 0.40–0.45.
How does K-factor change with inside radius?
It rises toward 0.50 as R/t reaches 5: K 0.25 at R/t = 0.5, 0.33 at 1.0, 0.40 at 2.0 and 0.45 at 3.0.
What is the difference between air bending, bottoming and coining in K-factor?
Published starting values are 0.33–0.45 for air bending, 0.42–0.48 for bottoming and 0.38–0.47 for coining; never use an air-bend K for bottoming.
How do I calculate bend allowance?
BA = (π/180) × A × (R + K × t); for 2 mm mild steel, R 2 mm, K 0.325, 90° gives 4.163 mm.
How do I calculate bend deduction?
BD = 2 × OSSB − BA; the same 90° bend has OSSB 4.000 mm and BD 3.837 mm, so 50 + 30 mm outside flanges develop to 76.16 mm.
What V-die opening should I use for 2 mm mild steel?
Start at V16 (8 × t): inside radius near 2.6 mm, minimum flange over 11 mm, about 12 t/m in 60,000 psi mild steel.
What K-factor should I use for 304 stainless?
Use 0.40–0.45: DIN 6935 gives 0.41 at R/t = 2.1, the published hard starting value is 0.45, and 316 runs up to 0.45–0.50 in shop data.
What K-factor should I use for 5052 aluminium?
Use 0.34–0.40: 5052-H32 at R/t ≈ 1.2 sits near 0.33–0.35 while a generic soft-aluminium table gives 0.40 for R = t–3t.
Can I use one K-factor for all thicknesses?
Only if V/t and R/t stay constant: 0.5 mm on a practical V6 die runs R/t ≈ 1.9 and K ≈ 0.40, while 2 mm on V16 runs R/t ≈ 1.3 and K ≈ 0.35.
How do I measure the real K-factor for my press brake?
Bend a 200 mm strip at 90°, take BD = 200 − (A + B), then back-solve K = [2(R+t)tan(A/2) − BD] / [(π/180)At] − R/t.
Where is the neutral axis in a bend?
At y = K × t from the inside surface: 2 mm mild steel with K 0.35 puts it 0.70 mm from the inside, so the neutral radius is R + 0.70 mm.
Why does coining sometimes show a lower K than bottoming?
The published table gives coining 0.44–0.47 versus bottoming 0.46–0.48 in the R = t–3t range — an unresolved conflict, so verify with a test bend.

Standards & Sources

  • S1 — Rainer Schlangen, Biegetechnik — Biegeverkürzung (2010): DIN 6935 digest — k = 0.65 + 0.5·log10(r/s), k table 0.05–5.0, K = k/2, neutral layer NT = (s/2)·k
  • S2 — Protolabs Network (ex-Hubs), Sheet metal fabrication design guide — generic K-factors for air/bottoming/coining, soft–medium–hard, default 0.4468
  • S3 — ADH Machine Tool, Press Brake V Die Opening Chart — 8×t start, R_i ≈ 16% V, stainless 10–12×t at 20–22%; rows for 1.0–6.0 mm verified against the published chart
  • S4 — Lapas, K-Factor and Bend Allowance — material-at-R=t shop calibers: 5052 0.33, 6061-T6 0.40, A36 0.44, 304 0.46, 316 0.50; R/t > 3 → K ≈ 0.50
  • S5 — MechCodex, Sheet Metal K-Factors by Material and Bend Method — cross-check of S2
  • S6 — smlibpy, Sheet metal: what the functions share — independent DIN 6935 formula implementation, K = k/2, default 0.44
  • S7 — DIN 6935 Kaltbiegen von Flacherzeugnissen aus Stahl (paid standard, not purchased; cited only as the upstream of S1/S6)

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