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Bend Allowance Calculator

Calculate bend allowance, bend deduction and the flat length of a single sheet-metal bend from thickness, inside radius and K-factor.

Single-bend estimate

Calculate Bend Allowance

Use the finished inside radius and a K-factor verified for your material and bending process.

Flat pattern length Optional

A and B run from each free edge to the virtual intersection of the outer faces.

Bend allowance, BA

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Arc length along the neutral axis

K-factor method

Bend deduction, BD
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Outside setback, OSSB
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Flat pattern length, L
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Flange dimensions not entered.

Preparing calculation.

Bend allowance and neutral axisSheet cross-section bent 90 degrees from flat. R is inside radius, T is thickness. K equals 0.42. Orange highlights the neutral-axis arc, whose length is bend allowance. Straight legs are schematic.TRBAR: inside radius / T: thicknessBA: neutral-axis arc length
Bend angle: 90.000 deg / Included angle: 90.000 deg

Sheet-metal flat pattern estimate

Bend allowance is measured along the neutral axis. Add flange dimensions to calculate the developed length of a single bend.

Bend allowance & deduction

BA = (π / 180) × θ × (R + K × T)

OSSB = (R + T) × tan(θ / 2)

BD = 2 × OSSB - BA

T is material thickness; R is the finished inside bend radius; K is the distance from the inside face to the neutral axis divided by T. The bend angle θ is the rotation from flat, in degrees. The inside included angle is 180° - θ.

Reference: SOLIDWORKS K-factor formula

Flat pattern dimensions

Outside flange dimensions: L = A + B - BD

Straight tangent lengths: L = A + B + BA

Outside dimensions end at the virtual sharp where the outer faces would intersect. Each must be at least the outside setback. Straight tangent lengths exclude the curved bend. The two dimension references are not interchangeable.

This model covers one constant-radius bend, with bend angles greater than 0° and less than 180°. It does not model hems, coining or springback compensation. Confirm the finished radius and K-factor with a test bend before releasing a flat pattern.