Sheet Metal Bend Deduction Calculator

Calculate bend deduction from sheet thickness, inside radius, K-factor and bend angle, then use it to determine flat pattern length from finished outside dimensions.

Calculation mode

Material and bend geometry

Outside dimensions

Outside dimensions are measured from the theoretical outside apex of the bend to each flange end.

Calculated Results

Bend deduction
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Bend allowance
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Outside setback
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Flat length
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Calculation Details

Enter your bend information and calculate.

Formula

θ = bend angle in radians Outside setback (OSSB) = (R + T) × tan(θ / 2) Bend allowance (BA) = θ × (R + K × T) Bend deduction (BD) = 2 × OSSB − BA Flat length = Outside flange A + Outside flange B − BD where: T = material thickness R = inside bend radius K = K-factor
The outside setback formula above is based on the outside-apex definition of the flange dimensions. Make sure your measured dimensions use the same reference convention.
Real-world bend deduction depends on material, tooling, bend radius, machine setup and the dimensional convention used by the fabricator. Validate production values against your shop's bend tables or test bends.

Example

Material
2 mm sheet, 3 mm inside radius, K-factor 0.40 and 90° bend.
Bend allowance
BA = π/2 × (3 + 0.40 × 2) ≈ 5.97 mm.
Outside setback
OSSB = (3 + 2) × tan(45°) = 5 mm.
Bend deduction
BD = 2 × 5 − 5.97 ≈ 4.03 mm.
100 mm + 100 mm outside dimensions
Flat length ≈ 200 − 4.03 = 195.97 mm.

Bend Deduction vs Bend Allowance

Bend allowance (BA) is the amount of material along the neutral axis that forms the bend.

Bend deduction (BD) lets you work backward from outside flange dimensions to the flat blank length.

For a simple two-flange bend:

Flat length = Outside A + Outside B − Bend Deduction

Frequently Asked Questions

What is bend deduction? Bend deduction is the value subtracted from the sum of the outside flange dimensions to obtain the flat developed length.

What is bend allowance? Bend allowance is the developed arc length through the bend, normally calculated along the neutral axis.

Does K-factor affect bend deduction? Yes. K-factor determines the neutral-axis location and therefore affects bend allowance and the resulting bend deduction.

Why is the outside setback important? Outside setback determines the distance from the bend's outside apex to the tangent point of each flange.

Can I use this for any bend angle? The mathematical calculation supports bend angles from greater than 0° through 360°, but practical sheet-metal bend conventions and tooling geometry should be considered for unusual angles.

Can this replace a sheet-metal CAD system? No. It is a calculation aid for simple bend geometry. Complex multi-bend parts require a validated flat-pattern method.