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Bend Allowance and K-Factor Calculator

Enter the sheet thickness, inside radius, bend angle and K-factor to get the bend allowance, the bend deduction and the flat length of a two-flange part. With the flat length measured on a test bend, you can also work out your own K-factor.

What do you want to calculate?

Sheet and bend

The inside radius formed on the bent part.

How will you enter the angle?

The angle bent from the flat sheet: included angle 90° → 90°, included angle 120° → 60°.

Suggested for R/T = 1 (R/T < 1 → 0.33; 1–3 → 0.40; > 3 → 0.50).

Flanges (optional)

Enter the outside dimensions of both flanges to get the flat length of a single-bend part.

Part with several bends? Sheet metal flat pattern calculator
How was this calculated?
  1. Bend allowance (BA)

    π ÷ 180 × 90 × (2 + 0.4 × 2) = 1.5708 × 2.8 = 4.398 mm

  2. Outside setback (OSSB)

    tan(90° ÷ 2) × (2 + 2) = 4 mm

  3. Bend deduction (BD)

    2 × 4 − 4.398 = 3.602 mm

  4. Flat length

    50 + 50 − 3.602 = 96.4 mm

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How do you calculate bend allowance and the K-factor?

The bend allowance (BA) is the arc length of the neutral axis through the bend: BA = π ÷ 180 × A × (R + K × T), where A is the bend angle in degrees, R the inside radius, T the sheet thickness and K the ratio of the neutral axis offset from the inside surface to the thickness. The outside setback is OSSB = tan(A ÷ 2) × (R + T) and the bend deduction is BD = 2 × OSSB − BA. For a single-bend part with outside dimensions a and b, the flat length is a + b − BD.

Example: 2 mm sheet, 2 mm inside radius, 90° bend and K = 0.40 give BA = 1.5708 × (2 + 0.8) ≈ 4.398 mm, OSSB = 4 mm and BD ≈ 3.602 mm. An L-shaped part with 50 mm and 50 mm outside flanges therefore has a flat length of 100 − 3.602 ≈ 96.40 mm. Mind the angle definition: a bend with an included angle of 120° is a 60° bend.

A common starting K-factor is 0.33 when R/T is below 1, 0.40 for R/T between 1 and 3, and 0.50 above 3. These values are approximate; material, V-die and batch all affect the result. The most reliable K-factor comes from bending a test piece and calculating back from its measured flat length, which is what the calculator's "Find K from a measured flat length" mode does.

How to use the results

The results are technical estimates. For a binding quote, material price, scrap, labour and your own shop rules also have to be taken into account.

Frequently asked questions

What is the bend allowance formula?

BA = π ÷ 180 × A × (R + K × T), where A is the bend angle in degrees, R the inside bend radius, T the sheet thickness and K the K-factor. For 2 mm sheet, 2 mm inside radius, 90° and K = 0.40, BA ≈ 4.398 mm.

What is the K-factor and which value should I use?

The K-factor is the distance from the inside surface to the neutral axis divided by the sheet thickness, usually between 0.3 and 0.5. As a start, use 0.33 for R/T below 1, 0.40 for R/T 1–3 and 0.50 above 3. Confirm it with a test bend for critical parts.

What is the difference between bend allowance and bend deduction?

The bend allowance (BA) is the arc length added to the straight flange lengths. The bend deduction (BD) is subtracted from the sum of the outside dimensions: BD = 2 × OSSB − BA. If the drawing is dimensioned to the outside, working with BD is more practical.

Should I enter the bend angle or the included angle?

The A in the formulas is the angle bent from the flat sheet. A bend with a 90° included angle is a 90° bend; a bend with a 120° included angle is a 180 − 120 = 60° bend. If you select the included angle in the calculator, the conversion is automatic.

How do I find my own K-factor?

Bend a test piece of known flat length with the same material, thickness and tooling, then measure the outside dimensions of both flanges and the inside radius. In "Find K from a measured flat length" mode the K-factor is calculated as K = (BA × 180 ÷ (π × A) − R) ÷ T.

Why might the calculated flat length not match in the workshop?

The actual sheet thickness, the inside radius produced by the V-die, springback and the material batch all affect the result. The formula gives a starting value; verify it with a test bend before series production and record it for that material, thickness and tooling.

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