Sheet Bend Allowance

Compute flat length L from legs A/B, bend angle α, inner radius R, thickness T and K-factor.

Inputs

Formula

BA = (π/180)·α·(R+K·T); L = A+B+BA
K-factor ~0.3–0.5, depends on material and process.
π(R+k·t)bend dev.
Sheet Bend Allowance schematic

Fundamentals

Compute flat length L from legs A/B, bend angle α, inner radius R, thickness T and K-factor.

This tool computes Sheet Bend Allowance from the formula: BA = (π/180)·α·(R+K·T); L = A+B+BA

History

Manufacturing evolved with machine tools and CNC; cutting-parameter calculation is central to process planning.

Engineering applications

Used for cutting parameters, tooling and forming process design.

Glossary

Leg AInput parameter
Leg BInput parameter
Bend angle αInput parameter
Bend allowance BAOutput result
Flat length LOutput result

How to use

  1. Fill in Leg A, Leg B, Bend angle α, Inner radius R, K-factor K, Thickness T in the Inputs section (watch the unit on each field).
  2. Click Calculate; the tool evaluates the formula shown above.
  3. Read Bend allowance BA, Flat length L in the results area.

Formula · Worked Example · Knowledge

Formula

核心计算关系:BA = (π/180)·α·(R+K·T); L = A+B+BA

输入变量:

  • Leg A A — mm
  • Leg B B — mm
  • Bend angle α alpha — °
  • Inner radius R R — mm
  • K-factor K K
  • Thickness T T — mm

输出结果:

  • Bend allowance BA BA — mm
  • Flat length L L — mm

假设/适用:Cutting params (v, f, a_p) must stay within tool/workpiece recommended windows.

Worked Example

根据公式 BA = (π/180)·α·(R+K·T); L = A+B+BA,取 Leg A = 50 mm;Leg B = 50 mm;Bend angle α = 90 °;Inner radius R = 5 mm;K-factor K = 0.33;Thickness T = 2 mm。

代入计算得:Bend allowance BA = 8.891 mm;Flat length L = 108.9 mm。

Key Points

  • Cutting params (v, f, a_p) must stay within tool/workpiece recommended windows.
  • MRR scales with feed speed, depth and width; sets required spindle power.
  • Feed f = f_z·z·n; match per-tooth feed with spindle speed.

Parameters

Inputs

ParameterSymbolUnitDefault
Leg A (mm)Amm50
Leg B (mm)Bmm50
Bend angle α (°)alpha°90
Inner radius R (mm)Rmm5
K-factor KK0.33
Thickness T (mm)Tmm2

Outputs

ResultSymbolUnit
Bend allowance BABAmm
Flat length LLmm

Applications

  • Cutting parameters and speed
  • Gear measurement (3-wire/base tangent)
  • Blanking and deep-drawing process

FAQ

What formula does this tool use?
This tool computes per ISO / AGMA / ASME standard formulas: BA = (π/180)·α·(R+K·T); L = A+B+BA
How accurate are the results?
Results match input precision, based on SI units and common engineering approximations; for critical duty re-check with a safety factor.
Where is it used?
Cutting parameters and speed