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Sheet Metal Guides

Sheet Metal K-Factor: Formula & Test-Bend Calculation

Calculate K-factor from a measured flat length and outside legs. Follow a complete BD-to-BA worked example and record the material and tooling conditions.

Sheet metal K-factor locates the neutral axis through the material thickness during bending. It is the neutral-axis distance from the inside surface divided by material thickness, using the conventional definition applied by the MfgWorkbench calculator.

Quick answer

K = neutral-axis offset ÷ material thickness

The conventional range is greater than 0 and no more than 0.5. It is an empirical process input, not a universal property of an alloy name.

In this guideMeaningEffect on allowanceUsing chartsValidate by test bend

What K-factor represents

Fibers near the inside of a bend compress while fibers near the outside stretch. Between them is a layer whose developed length is treated as unchanged: the neutral axis. If its offset from the inside surface is 0.8 mm in 2.0 mm material, K = 0.8 ÷ 2.0 = 0.40.

How K-factor changes bend allowance

Bend allowanceBA = Arad × (R + K × T)Increasing K moves the neutral axis outward and increases calculated allowance

For a 90° bend with R = 2 mm and T = 2 mm, K = 0.30 gives BA = 4.084 mm; K = 0.40 gives 4.398 mm. A change of 0.10 in K changes this example by about 0.314 mm.

A K-factor chart is a starting point

Charts often group values by radius-to-thickness ratio or bending method. They can be useful for estimating a first flat pattern, but the achieved result depends on the actual material and tooling. Changing V-opening can change inside radius and the flat pattern. Grain direction, material temper, thickness tolerance, punch radius, lubrication, and machine setup also matter.

Avoid copying a value without recording its convention. Some shops use bend deduction tables, bend allowance tables, or software-specific factors instead of exposing K directly. Confirm that the number is defined as neutral-axis offset divided by thickness.

Back-calculate from a controlled bend

  1. Cut a flat coupon of known length and record material, thickness, temper, and grain direction.
  2. Bend it with the production punch, die, angle, and method.
  3. Measure the finished outside legs and achieved inside radius with an appropriate method.
  4. Determine the observed bend allowance or deduction.
  5. Rearrange the bend-allowance equation to solve K, or tune the value in validated bend software.
  6. Repeat enough samples to understand process variation before releasing production data.

Store the validated factor with the whole setup—not only the material name. A value derived for 2 mm mild steel over one V-opening should not automatically be applied to another thickness, radius, die, or alloy.

Technical references

Published and formula-checked by MfgWorkbench. Last reviewed September 15, 2026. See our editorial method.

Back-calculate K from a test-bend record

The SOLIDWORKS definition uses BA = Arad(R + KT). Rearranging gives K = (BA/Arad − R)/T. You need the achieved inside radius and angle, not only their CAD targets.

Here is an invented measurement example to demonstrate the workflow, not a shop-validated material factor. Suppose a 100.00 mm flat coupon is bent through 90°, with measured thickness 2.00 mm, inside radius 2.00 mm and outside legs totaling 103.55 mm.

  1. Observed bend deduction: BD = 103.55 − 100.00 = 3.55 mm.
  2. Outside setback for each leg: OSSB = tan(45°)(2 + 2) = 4.00 mm.
  3. Observed bend allowance: BA = 2(4.00) − 3.55 = 4.45 mm.
  4. Convert angle: Arad = π/2. Then K = (4.45/(π/2) − 2)/2 = 0.4165.

The answer belongs to that recorded setup. It is not a recommendation to enter 0.4165 for every 2 mm sheet. Repeat specimens and compare the resulting flat-length errors before adopting a production table.

RecordWhy it is needed
Actual thickness and achieved radiusBoth enter the equation directly
Flat length, outside legs and angleEstablish the measured developed-length correction
Alloy, temper, grain, punch and dieDefine when the result may be reused
Measurement method and repeatsExpose uncertainty and process variation

If the calculated K falls outside the supported range of your model or software, investigate angle convention, datum selection and measurement error before clipping it to a convenient value. Compare the dimensions in the BA-versus-BD guide.

Content updated October 8, 2026. Sources and numerical examples are explained above; examples are not production test results. Editorial method · Report a correction.