Engineering calculators

K Factor Calculator

Updated Sep 16, 2026 By Infinity Calculator
Rate Formulas
Unit System
Switching units converts every entered dimension and every result automatically. K Factor, Y Factor and Bend Angle are dimensionless and are not converted.
This method assumes a 90° test bend. Bend a sample flat blank to 90°, then measure the two outside flange dimensions, the inner radius and the original flat length. The bend angle is fixed at 90° in this mode, so it is not an input.
mm
Measured sheet thickness.
mm
Inside radius of the bent sample.
mm
Total blank length measured before bending.
mm
Outside dimension of the first leg after bending.
mm
Outside dimension of the second leg after bending.
Diagram: a flat blank of length FL is bent 90°. After bending, Flange A and Flange B are the outside leg dimensions, R is the inside bend radius, T is the material thickness, and the dashed line is the neutral axis whose arc length through the bend is the Bend Allowance.

Results

Step-by-Step Solution
Bend Allowance & Outside Setback vs Bend Angle
Bend Allowance Reference for Your R, T and K
Bend Angle Bend Allowance Outside Setback

Introduction

When you bend sheet metal, the metal stretches. The outside of the bend gets longer, and the inside gets squeezed. Somewhere in the middle is a line that does not change length at all. That line is called the neutral axis. The K factor tells you where that line sits inside the metal.

This calculator works out that number from your bend details. Knowing your K factor lets you cut a flat blank at the right size, so your part comes out the correct length after you bend it. That means less scrap and no guessing at the shear.

The tool works in two ways:

  • Empirical Method: Bend a test piece to 90°, measure it, and the calculator finds your real K factor.
  • Standard Method: Enter a known K factor and your bend plan to get the numbers before you cut.

You will also get the bend allowance, the Y factor, and the outside setback. Each result comes with the steps shown, plus a chart and a table for common bend angles. You can work in millimeters or inches. Click to switch, and every number changes with you.

How to use our K Factor Calculator

Enter your sheet metal bend details and this calculator gives you the K factor, bend allowance, Y factor, outside setback, and where the neutral axis sits inside the metal. You also get a step-by-step solution, a chart, and a bend allowance table.

Unit System: Pick millimeters (mm) or inches (in). Your numbers and results switch over on their own.

Method Tab: Choose Empirical Method if you bent a test piece and want to find the K factor. Choose Standard Method if you already know the K factor and want the bend allowance.

Empirical Method inputs (90° test bend)

Material Thickness (T): Measure how thick your sheet is and type it in.

Inner Radius (R): Type the radius on the inside of the bend.

Flat Length (FL): Type the full length of the flat blank you measured before you bent it.

Flange A (outside): Type the outside length of the first leg after the bend.

Flange B (outside): Type the outside length of the second leg after the bend.

Standard Method inputs

Material Thickness (T): Type the thickness of the sheet you plan to bend.

Inner Radius (R): Type the inside bend radius your punch and die will make.

Bend Angle: Type the bend angle in degrees, from 0 to 180. A right angle bend is 90.

Material Preset: Pick your metal, like aluminum, mild steel, or stainless steel. This fills in a common K factor for you.

K Factor: Type your own K factor if you have one. It must be between 0 and 1. Most metals fall between 0.3 and 0.5.

Click Calculate to see your results. Click Reset to put the sample values back.

What Is the K Factor in Sheet Metal Bending?

When you bend sheet metal, the metal on the outside of the bend stretches and the metal on the inside gets squeezed. Somewhere in the middle there is a thin layer that does not stretch or squeeze at all. That layer is called the neutral axis. The K factor tells you where that layer sits inside the metal.

The K factor is just a number between 0 and 1. It is the distance from the inside face of the bend to the neutral axis, divided by the material thickness. If K is 0.5, the neutral axis is right in the middle. Most real bends push the neutral axis toward the inside, so K is usually less than 0.5.

Why the K Factor Matters

You need the K factor to cut your flat blank the right size. Cut it wrong and your finished part will be too long or too short after bending. Shops use the K factor every day to work out the flat pattern for parts like brackets, enclosures, panels, and ducts.

Key Terms

  • Material Thickness (T): How thick the sheet is.
  • Inner Radius (R): The radius on the inside of the bend, set by your punch and die.
  • Bend Angle: How far the metal is bent away from flat. A 90° bend makes an L shape.
  • Bend Allowance (BA): The length of metal used up inside the bend, measured along the neutral axis. Add it to your flange lengths to get the flat length.
  • Y Factor: Another way to write the same idea. Y = K × π ÷ 2. Some CAD programs ask for Y instead of K.
  • Outside Setback (OSSB): The distance from where the bend starts to the sharp corner the two outside faces would make if they kept going straight.

The Formulas

Bend Allowance: BA = θ × (R + K × T), with the angle θ in radians.

Outside Setback: OSSB = tan(θ ÷ 2) × (R + T)

For a 90° test bend, you can work backwards to find K: BA = FL − A − B + 2(R + T), then K = (2 × BA ÷ π − R) ÷ T.

Common K Factor Values

MaterialTypical K Factor
Soft copper, soft brass0.35
Aluminum, semi-hard brass0.41
Hard copper, mild steel0.45
Stainless steel, hard steel0.50

Most K factors land between 0.3 and 0.5. The number changes with the material, the bend radius, the thickness, and the tooling you use. A bigger radius compared to the thickness usually pushes K higher.

Finding Your Own K Factor

Charts are a good start, but your own press brake gives the best answer. Cut a flat strip and measure its length. Bend it to 90°. Then measure both outside flanges and the inside radius. Those numbers give you the exact K factor for that material, that thickness, and that tool setup. Save it and reuse it, and your flat patterns will come out right the first time.


Formulas used

Bend Allowance from measured sample (empirical, 90° bend)
BA = FL - A - B + 2(R + T)
K Factor from 90° test bend
K = \frac{\frac{2\,BA}{\pi} - R}{T}
Bend Allowance for a given bend angle
BA = \theta \cdot (R + K \cdot T), \quad \theta = \text{angle}^\circ \times \frac{\pi}{180}
Y Factor from K Factor
Y = K \times \frac{\pi}{2}
Outside Setback (OSSB)
OSSB = \tan\!\left(\frac{\theta}{2}\right)(R + T)
Neutral axis offset from inner surface
\text{Offset} = K \times T

Frequently asked questions

What is the difference between bend allowance and bend deduction?

They both fix the same problem, but from opposite directions.

  • Bend allowance (BA) is the metal used up inside the bend. You add it to your two leg lengths measured to the bend tangent lines.
  • Bend deduction (BD) is what you subtract from the two outside flange lengths.

They are linked by this formula:

BD = (2 × OSSB) − BA

Both give the same flat length. Use whichever matches how your drawing is dimensioned.

How do you calculate the flat length of a sheet metal part?

Two ways, depending on how your part is dimensioned:

  • From inside legs: Flat length = Leg 1 + Leg 2 + Bend Allowance
  • From outside flanges: Flat length = Flange A + Flange B − Bend Deduction

For a part with more than one bend, add a bend allowance for every bend.

Example: a 2 mm sheet, 3 mm inside radius, K = 0.45, bent 90°. BA = 1.5708 × (3 + 0.45 × 2) = 6.13 mm. Add that to your leg lengths.

Does the K factor change with the bend angle?

Not much. The K factor mostly depends on the ratio of inside radius to thickness (R/T), not the angle.

A 30° bend and a 90° bend with the same tooling and material use close to the same K factor. The angle changes the bend allowance, not where the neutral axis sits.

Very sharp bends with a tiny radius can shift K a little, so test those if the part is tight on tolerance.

Why is the K factor almost always less than 0.5?

Because the metal thins out when you bend it.

The outside of the bend stretches more than the inside squeezes. To balance that, the neutral axis slides toward the inside face of the bend. That makes K smaller than 0.5.

The tighter the bend radius, the more the metal thins, and the lower K drops. Very tight bends can fall near 0.3. Very wide, gentle bends creep back up close to 0.5, but never past it.

What K factor does SolidWorks use by default?

SolidWorks uses 0.5 out of the box.

That number is on the high side for most real bends. Most shops change it to about 0.4 to 0.45 for steel and aluminum.

Better still, bend a test piece on your own press brake and use the K factor you measure. Then your flat patterns match what your machine actually makes.

What is the minimum bend radius for sheet metal?

A common rule of thumb is that the inside radius should be at least equal to the material thickness.

MaterialMinimum inside radius
Mild steel0.5 to 1 × thickness
Aluminum (soft, 5052)1 × thickness
Aluminum (hard, 6061-T6)2 to 3 × thickness
Stainless steel1 to 1.5 × thickness

Go tighter than this and the outside of the bend can crack or split.

How does the die opening affect the inside bend radius in air bending?

In air bending, the punch tip does not set the radius. The die opening does.

The common rule is:

Inside radius ≈ 0.156 × die opening

So a 12 mm V die gives roughly a 1.9 mm inside radius. A wider die gives a bigger radius, which also changes your K factor and bend allowance. Change dies and you should recheck your numbers.

Does springback change the K factor?

Springback changes the finished angle and radius, not the K factor itself.

The useful part: when you measure a test bend, you measure it after it springs back. So the K factor you get already includes the effect. That is why measured K factors beat chart values.

Harder metals like stainless spring back more than soft aluminum.

What is outside setback used for?

Outside setback (OSSB) is the distance from where the bend ends to the sharp corner the two outside faces would make if they kept going straight. That corner is called the mold line or apex.

You use it to:

  • Turn outside dimensions on a drawing into tangent-to-tangent leg lengths
  • Work out bend deduction: BD = 2 × OSSB − BA

For a 90° bend, OSSB is simply R + T, because tan(45°) = 1.

How do you measure the inside bend radius of a part?

The easiest way is a radius gauge set. Slide the leaves into the bend until one sits flush with no light showing. That number is your inside radius.

No gauge? You can work it backwards. Measure the flat blank, bend it to 90°, measure both outside flanges, then try radius values until the math gives a sensible K factor between 0.3 and 0.5.

Why does my bent part come out too long or too short?

Almost always the flat blank was cut with the wrong bend allowance. Check these:

  • K factor too high: blank cut too long, part ends up long
  • Wrong inside radius: a different die opening changes the radius, which changes everything
  • Wrong thickness: sheet gauge often differs from the nominal number, so measure it
  • Dimensioning mix-up: adding bend allowance to outside flanges instead of inside legs

Bend one test piece, measure the error, and correct the K factor before running the job.

Does grain direction matter when bending sheet metal?

Yes. Rolled sheet has a grain running in one direction.

  • Bending across the grain is best. The metal holds together and resists cracking.
  • Bending along the grain can crack or orange-peel, especially with aluminum and tight radii.

If you must bend with the grain, use a larger inside radius. Grain direction has only a small effect on the K factor, but a big effect on whether the part survives.

Is the K factor the same for every bend on a part?

Only if every bend uses the same material, same thickness, same inside radius, and same tooling.

Change the die opening on one bend and that bend gets a different radius, so it needs its own K factor and its own bend allowance.

Most shops keep a small chart of K factors, one row for each material and die combination they run.

How many test bends do you need to find a good K factor?

Do at least three test pieces and average the results.

Use the same material, same thickness, and the same die you will run the job with. Cut each blank to a known length and measure it before bending, not after. Small measuring errors have a big effect, so use calipers, not a tape measure.

Write the answer down with the material and die size next to it. You only have to do this once per setup.