Material & Thickness
14ga mild steel = 0.0747"
Mild Steel, air-bend (standard): K = 0.38 (r/t 1–3)
Source: Machinery's Handbook 31st ed. Table 34.5 — override per bend below.
# Leg A (in) Angle (°) Radius (in) Leg B (in) K-Factor
Leg A = length before bend, Leg B = length after bend (last row). K-Factor blank = auto-lookup by material + r/t.
Recent Calculations
Mild Steel, 0.0747in — 2 bends, flat blank 7.683in
May 14, 2026
Ready to calculate
Enter your material, thickness, and bend geometry, then click Calculate
Flat Blank Results
Flat Blank Length
total
Total BD
deducted
Bends
in part
# Angle Radius K BA OSSB BD Springback

How It Works

Three steps from blank to bent part — no spreadsheets, no manual Machinery's Handbook lookups.

01

Set Material & Thickness

Choose material (mild steel, stainless, aluminum, galvanized), enter thickness as decimal or gauge. K-factor auto-fills from the Machinery's Handbook table based on your r/t ratio.

02

Add Your Bends

Enter leg lengths, bend angle, and inside radius for each bend. Add up to 20 bends per part. Override K-factor per bend if you've measured it from a test piece.

03

Get Flat Blank Length

Flat blank length, BA, BD, and OSSB per bend — plus a springback estimate in degrees so your press operator knows how much to over-bend.

Worked Example: U-Channel in 14ga Mild Steel

A sheet metal shop needs to cut blanks for a 2"×4"×2" U-channel in 14 gauge mild steel (0.0747") with 90° bends and a 0.125" inside radius. Here's the full calculation:

Input Parameters

MaterialMild Steel
Thickness0.0747" (14 gauge)
Inside radius0.125"
Bend angle90°
r/t ratio0.125 ÷ 0.0747 = 1.67 → K = 0.38 (air-bend standard)

Per-Bend Results (same geometry, ×2 bends)

ParameterFormulaResult
Bend Allowance (BA)(π/180) × 90° × (0.125 + 0.38 × 0.0747)0.2422"
Outside Set-Back (OSSB)tan(45°) × (0.125 + 0.0747)0.1997"
Bend Deduction (BD)2 × 0.1997 − 0.24220.1572"
Springback estimater/t = 1.67 → standard air-bend≈ 2.5°

Flat Blank Calculation

Leg 1 (left flange)2.000"
Leg 2 (web)4.000"
Leg 3 (right flange)2.000"
Sum of legs8.000"
Total BD (2 bends × 0.1572")− 0.3144"
Flat Blank Length7.686"

Cut blanks at 7.686". Over-bend by ≈ 2.5° (set die to 87.5°) to hit the target 90° after springback.

Frequently Asked Questions

What is K-factor in sheet metal bending?
K-factor is the ratio of the neutral axis distance from the inner radius to the material thickness (K = t_neutral / thickness). During bending, the inside material compresses and the outside stretches. The neutral axis is the line where neither tension nor compression occurs. A K-factor of 0.38 means the neutral axis sits 38% of the way through the material, which directly affects bend allowance and flat blank length. Published values range from 0.33 (tight r/t < 1) to 0.50 (theoretical centerline, never achieved in practice).
How do I measure K-factor for my specific tooling?
Bend a test piece of the exact material and thickness. Measure: flat blank length before bending (L₀), and both leg lengths after bending (A and B). Then: K = (L₀ − A − B + 2×OSSB) / (π/180 × angle × thickness), where OSSB = tan(angle/2) × (radius + thickness). Most shops use published Machinery's Handbook values as a starting point and dial in their actual K from test bends. For production runs with tight tolerances, always run a test piece first.
Why does my flat pattern come out wrong?
Four common causes: (1) Wrong K-factor — using 0.5 (centerline) instead of your actual K causes every bend to be off. (2) Using BA when you need BD — bend allowance and bend deduction are different. You lay out a flat pattern using BD, not BA. (3) Not compensating for springback — the part springs back after the die lifts; you need to over-bend. (4) Tooling method changes K — air bending and bottom bending produce different K values on the same material. This calculator uses air-bend values from Machinery's Handbook by default.
What is the difference between bend allowance, bend deduction, and OSSB?
Bend Allowance (BA) is the arc length along the neutral axis — how much material the bend actually consumes. Bend Deduction (BD) is how much to shorten the flat blank so the formed part comes out to the correct outside dimensions. BD = 2 × OSSB − BA, where OSSB (Outside Set-Back) is the distance from the bend tangent line to the mold line intersection. In practice: you use BD for flat pattern layout. Each bend requires one BD to be deducted from the sum of leg lengths.
What K-factors should I use for different materials?
Published air-bend starting values for r/t 1–3 (most common shop scenario): Mild steel 0.38, Stainless steel 0.34 (work-hardens more, neutral axis shifts inward), Aluminum 0.41 (soft alloys allow more plastic flow outward), Galvanized steel 0.38 (same as mild steel). Tighter radii (r/t < 1) lower K; larger radii (r/t > 5) raise K toward 0.45. This calculator auto-selects the K from the material + r/t combination you enter.
How much springback should I expect, and how do I compensate?
Springback (elastic recovery after press brake lifts) varies by material and r/t ratio. Approximate values: Mild steel 2–6°, Stainless steel 5–10° (most problematic — needs the most over-bending), Aluminum 4–9°. Compensation: set the die angle to (target angle − springback). For 90° with 4° springback, set the die to 86°. Stainless at tight r/t can need 10°+ of over-bend. The estimate shown by this calculator is a starting point — verify with a test bend.
Can I use this for multi-bend parts like channels and boxes?
Yes. Add a row for each bend in the table. For a U-channel with 2 bends, enter 3 leg lengths and 2 bend rows. For a 4-sided box enclosure, enter 4 bends and 5 legs (or 4 legs for a closed top). The calculator sums all legs and deducts each bend's BD, giving you the total flat blank length in one shot. Each bend can have a different angle, radius, and K-factor override if your part geometry varies.
How does IronKit calculate flat blank length?
Flat blank = sum of all leg lengths − total bend deduction. For each bend: BA = (π/180) × angle × (radius + K × thickness); OSSB = tan(angle/2) × (radius + thickness); BD = 2 × OSSB − BA. K-factor is looked up from the Machinery's Handbook table based on material and r/t ratio (inside radius ÷ thickness). You can override K per bend if you've measured your tooling. The formulas are per Sheet Metal Handbook (Oberg, Jones, Horton) and Machinery's Handbook 31st edition.

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