K-Factor Calculator
Determine K-factor from material type, thickness, bend radius ratio, and bending method for accurate flat patterns.
About this calculator
The K-factor describes where a sheet's neutral axis (the layer that neither stretches nor compresses during a bend) sits between the inside and outside surfaces, as a fraction of material thickness -- 0 would put it right at the inside surface, 0.5 right at the center. This calculator starts from an empirical base value keyed to Material (softer metals like aluminum and copper sit lower, spring steel and other hardened materials sit higher, since harder material resists compression more and pushes the neutral axis outward), then adjusts upward as the Inside Bend Radius grows relative to Material Thickness -- a tight radius compresses the inner fibers hard and pulls the neutral axis inward, while a gentle bend on thin stock lets it drift toward the geometric center at 0.5. Bending Method makes a further small upward adjustment: bottom bending and coining apply more force through the die and push the neutral axis out slightly further than a free air bend does.
From the resulting K-factor the calculator derives the Neutral Axis Radius, the 90° Bend Allowance (how much flat material a 90° bend consumes), and a Minimum Bend Radius recommendation to avoid cracking. This is a widely used empirical model, not a first-principles calculation -- real K-factor varies by specific alloy, temper, and tooling, so the output is a solid starting point that should always be confirmed with a test bend, exactly as the calculator's own guidance recommends.
Inputs
Results
K-Factor
0.36
How to Use This Calculator
- Select your material type (soft aluminum/copper, mild steel, stainless steel, or spring steel/hardened) from the preset list.
- Enter material thickness and inside bend radius.
- Review the recommended K-factor and its effect on neutral axis position.
- Verify the K-factor with a test bend: measure actual developed length and back-calculate K.
- Use a lower K-factor for harder materials and tighter radii -- the neutral axis moves inward under compression.
How the result changes with Material Thickness
| Material Thickness | K-Factor |
|---|---|
| 0.75 | 0.47 |
| 1.13 | 0.4 |
| 2.25 | 0.33 |
| 3.75 | 0.33 |
What each input means
- Material Thickness
- Sheet metal thickness.
- Inside Bend Radius
- Inside radius of the bend.
- Material
- Material hardness affects neutral axis position.
- Bending Method
- Bending method affects how material flows during forming.
What each result means
- K-Factor
- Ratio of neutral axis offset to material thickness (0 to 0.5).
- R/t Ratio
- Bend radius to thickness ratio.
- Min Bend Radius
- Minimum recommended radius to avoid cracking.
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersMaterial Thickness = 1.5, Inside Bend Radius = 2, Material = 2, Bending Method = 1 = 4 input(s) provided
- Calculate K-FactorK-Factor0.358 = 0.358
- Calculate R/t RatioR/t Ratio1.33 = 1.33
- Calculate Neutral Axis OffsetNeutral Axis Offset0.537 = 0.537
Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
What does a K-factor of 0.33 versus 0.5 actually mean for my bend?
It describes how far the neutral axis sits from the inside surface, as a fraction of material thickness -- 0.33 means it sits about a third of the way in from the inside, while 0.5 means it sits exactly at the material's center. A lower K-factor produces a shorter calculated flat-pattern length for the same bend, because less of the material is being treated as stretched on the outside of the bend.
Why does a tighter bend radius push the K-factor higher?
Because a tight radius compresses the material's inner fibers more severely relative to its thickness, and that concentrated compression pushes the neutral axis outward, away from the inside surface and toward the geometric center. As the Inside Bend Radius to Material Thickness ratio grows past about 1, this calculator lets the K-factor climb toward 0.5, the value used for very generous, thin-stock bends.
Why does bending method change the result at all?
Because different press-brake operations apply different amounts of force through the material. Air bending only presses the sheet partway into a V-die, so it deforms the material the least; bottom bending and especially coining force the sheet fully against the die, compressing it further and pushing the neutral axis outward, which is why this calculator adds a small upward adjustment for those two methods.
Should I trust this K-factor without doing a test bend?
Treat it as a well-informed starting point, not a guaranteed final answer. K-factor is an empirical approximation that genuinely varies by specific alloy, temper, grain direction, and tooling setup in ways a generic calculator cannot fully capture, so the standard shop practice -- and this calculator's own guidance -- is to make a test bend, measure the actual developed length, and back-calculate the real K-factor for your specific material and setup.
What is the Minimum Bend Radius output protecting against?
Cracking on the outside surface of the bend. As a sheet bends, the outer surface stretches, and if the radius is too tight relative to the material's thickness and ductility, that outer fiber can exceed its elongation limit and crack. This calculator scales its minimum-radius recommendation to material thickness and tightens it further for less ductile materials like stainless steel and spring steel, which tolerate less stretching before failing.
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