Bend Allowance Calculator

Calculate bend allowance, bend deduction, flat blank length, and outside setback for sheet metal bending. Supports multiple materials and K-factors.

Material Presets

Neutral axis location: 0 (inner) to 1 (outer)
Bend Allowance (BA)
6.095 mm
Arc length of the neutral axis through the bend
Bend Deduction (BD)
3.905 mm
Amount to subtract from total flange lengths
Flat (Blank) Length
76.09 mm
Cut length of flat sheet before bending
Outside Setback (OSSB)
5.000 mm
Distance from bend tangent to apex (outside)
Neutral Axis Radius
3.880 mm
Radius at which material neither stretches nor compresses
Outer Radius
5.00 mm
Ri + thickness
Outer Arc Length
7.85 mm
Arc length at the outside surface
Min Bend Radius (rule)
2.0 mm
≥ 1×t for ductile metals — actual depends on material

Neutral Axis Position

K=0 → neutral axis at inner surface · K=0.5 → middle · K=1 → outer surface

Bend Allowance vs Angle

Angle (°)BA (mm)BD (mm)Flat Length (mm)
302.0320.64879.35
453.0471.09578.91
604.0631.71078.29
906.0953.90576.09
1208.1269.19470.81
1359.14215.00065.00
15010.15827.16352.84

K-Factor by Material

MaterialK-FactorBA @ 90° (mm)
Mild Steel0.446.095
Stainless Steel0.456.126
Aluminum 50520.446.095
Aluminum 60610.436.063
Copper0.355.812
Brass0.395.938
Planning notes, formulas, and examples

About the Bend Allowance Calculator

The **Bend Allowance Calculator** solves one of the most common sheet-metal fabrication problems: how long should the flat blank be so that, after bending, the finished part has the correct flange dimensions? Bend allowance (BA) is the arc length of the neutral axis through the bend zone. Combined with the bend deduction (BD) and outside setback (OSSB), it determines the flat-pattern layout.

Accurate flat-pattern calculations save material, reduce scrap, and eliminate trial-and-error on the press brake. The K-factor — the ratio of the neutral-axis offset to thickness — varies by material, temper, bend method, and grain direction. This calculator includes presets for mild steel, stainless steel, aluminum alloys, copper, and brass.

Enter the material thickness, bend angle, inside radius, K-factor, and flange lengths. The calculator returns the bend allowance, bend deduction, flat blank length, outside setback, and neutral-axis radius. Use the angle and material tables to plan multiple bends or compare materials. The result keeps the neutral-axis geometry visible so the flat pattern can be checked against the bend setup before metal is cut.

When This Page Helps

Use this calculator when you need a reliable flat-pattern estimate before the part reaches the press brake.

It is useful for quoting, programming, fixture planning, and reducing trial-and-error when thickness, inside radius, or K-factor change from one job to the next. It also helps keep the bend assumptions consistent when different operators or shops use different setup conventions.

How to Use the Inputs

  1. Select a material preset or enter a custom K-factor.
  2. Enter the sheet thickness and inside bend radius in mm.
  3. Set the desired bend angle in degrees.
  4. Enter flange A and flange B lengths (mold-line dimensions).
  5. Read the bend allowance, bend deduction, and flat blank length.
  6. Use the reference tables for different angles and materials.
Formula used
Bend Allowance: BA = A × (Ri + K × t) Bend Deduction: BD = 2 × OSSB − BA Outside Setback: OSSB = (Ri + t) × tan(A/2) Flat Length: L = Flange_A + Flange_B + BA − 2 × OSSB where A = bend angle (rad), Ri = inside radius, t = thickness, K = K-factor.

Example Calculation

Result: BA = 6.09 mm, flat blank = 76.09 mm

A 2 mm mild steel sheet bent 90° with a 3 mm inside radius (K = 0.44) gives BA = (pi/2) x (3 + 0.44 x 2) ≈ 6.09 mm. With 50 mm and 30 mm mold-line flanges, the flat blank is 50 + 30 + 6.09 - 10 = 76.09 mm.

Tips & Best Practices

  • Measure inside radius with a radius gauge — do not assume it equals the punch radius.
  • For multiple bends, calculate each bend allowance separately and sum them.
  • Grain direction affects K-factor — bend perpendicular to the grain for tightest radii.
  • K ≈ 0.33 for air bending, ≈ 0.44 for bottoming, ≈ 0.50 for coining.
  • Always verify with a test bend on scrap material before production.

Practical Guidance

Flat-pattern work is easiest when the bend assumptions are tied to the real process. Material temper, tooling, air bending versus bottoming, and grain direction can all shift the neutral axis enough to matter, so a stored shop K-factor or bend table is often more valuable than a generic handbook number.

Common Pitfalls

Most fabrication errors come from mixing dimension conventions. If flange lengths are inside, outside, or mold-line dimensions, the blank-length math changes. Another common problem is assuming the inside radius equals the punch radius; the formed radius depends on material and tooling behavior, not just the punch label.

Sources & Methodology

Last updated:

Frequently Asked Questions

  • K-factor is the ratio of the distance from the inner surface to the neutral axis to the total thickness. It ranges from 0 to 1, with 0.33–0.50 being typical for most metals.