Sheet-metal development

Why bend allowance follows the neutral axis and why approved bend-test data controls production blanks.

ENGINEERING PRINCIPLE

Material on the inside and outside of a bend changes length differently; the neutral-axis length is used for preliminary development.

BA = θ(R + Kt)
ManufacturingSource reference providedSource record dated 2026-08-09

Variables and units

  • θ in radians
  • R and t in mm
  • K from approved bend data

Worked example

At 90°, R = 3 mm, t = 2 mm and K = 0.33, BA = (π/2)(3 + 0.33 × 2) = 5.75 mm for that bend.

Calculation method

  1. Record every flange and bend in the intended production sequence.
  2. Use a K-factor supported by a bend test for the chosen material, radius and tooling.
  3. Add allowances or deductions consistently and validate the developed blank at the press brake.

Practical applications

  • Brackets and enclosures
  • Ductwork and panels
  • Fabricated machine guards

Review boundary and reference

  • Springback, reliefs and tooling affect production geometry.
  • A generic K-factor never replaces a controlled shop trial.

Formula and displayed units independently checked for the stated conditions. This is not a code-compliance design method.

Source: J. G. Bralla, Handbook of Manufacturing Processes; verified bend-test data supersedes generic K-factor guidance.

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