Sheet Metal K-Factor and Bend Allowance
The mathematical ratio that locates the neutral axis during sheet metal bending, essential for calculating exact flat pattern cut lengths.
1. Definition & Engineering Significance
When metal bends, the outer fibers stretch in tension while the inner fibers compress. The neutral axis experiences zero length change. The K-factor (ratio of neutral axis depth to total sheet thickness) dictates the precise unfolded blank dimensions required before press-brake stamping.
2. Key Technical Characteristics & Rules
- Typical K-Factor Range: Between 0.33 for sharp air bending up to 0.50 for large radius bending or soft aluminum.
- Bend Deduction (BD): The amount subtracted from the sum of external flange lengths to determine total unfolded blank length.
- Material Yield Influence: High tensile steel shifts the neutral axis closer to the inner radius compared to mild carbon steel.
3. Neutral Axis Physics & Flat Blank Formulas
When sheet metal bends, compressive stresses deform the inner radius while tensile stresses stretch the outer radius:
- K-Factor Definition: The ratio of the neutral axis position (t) to total material thickness (T):
K = t / T. Typical air-bending K-factors range from 0.33 to 0.45. - Bend Allowance (BA) Formula:
BA = π * (R + K * T) * (θ / 180), calculating the arc length along the unstretched neutral layer. - Bend Deduction (BD): The amount subtracted from the sum of the flange lengths to calculate the precise flat blank cutting pattern.
4. Press Brake Tooling & Empirical Calibration
Using CAD default K-factors (such as 0.50) without calibration results in flat blanks that are consistently 1-2mm too long when bent on shop-floor press brakes. Quality managers must run physical bend coupon tests for each specific material gauge, V-die opening width, and punch radius to establish verified bend tables.
Cross-Disciplinary Resources
Enterprise Production Implementation & GstarCAD 2027 Workflow
- Database Serialization & Binary Fidelity: Ensure all entities and symbol table records associated with Sheet Metal K-Factor and Bend Allowance are authored on standardized ISO 13567 layers rather than
Layer 0orDefpoints, and verify lossless round-trip persistence in native DWG (AC1032) format.
| Implementation Stage | GstarCAD / AutoCAD Execution | Quality Assurance (QA/QC) Gate |
|---|---|---|
| 1. Environment Setup | Load corporate .dwt template; verify INSUNITS and LUNITS. |
Confirm 1:1 metric (mm) or imperial unit consistency across all linked Xrefs. |
| 2. Geometry & Metadata Authoring | Apply associative constraints, block attributes, or GD&T tolerance frames. | Verify zero disassociated annotations via ANNOMONITOR = 2. |
| 3. Deliverable Exchange | Publish via Sheet Set Manager (SSM) or export to DWG / IFC / STEP. |
Inspect output in DWG FastView or FastView 3D before client release. |