Sheet Metal Bend & K-Factor Calculator (SC-030)

Press-brake engineering engine for fabricators and designers: bend allowance BA = θ·(R+K·T), outside setback, bend deduction and flat-pattern length, K-factor from the R/T ratio with material presets, minimum inside radius and minimum flange checks, V-die selection and press-brake tonnage per metre — with air-bending springback guidance. Every input with selectable universal units and reference-standard values, every report with the full audit trail.

…or set units per field below
1 · Bend Geometry & Material Preset:
Ref: measured, not nominal — 2.0 sheet is often 1.95
Ref: air bend R ≈ 0.16·V opening · or punch radius
Ref: INCLUDED angle of the finished part
Ref: flange length OUTSIDE face to bend apex
Ref: same convention as Leg 1
Ref: drives min radius & tonnage
Ref: K = neutral axis offset / T
Ref: 0.33 coining · 0.44 air bend steel · 0.50 large R
Ref: V = 6–8×T steel · 8–10×T stainless · 10–12×T aluminium
Ref: for total tonnage
2 · Calculation Results (engine computes in SI)
3 · Sensitivity Charts
K-Factor & Bend Deduction vs R/T Ratio
Tonnage vs V-Opening (per metre)
4 · Audit / Review Trail — Verification Module
Audit Statement This report is generated deterministically from the inputs below, each captured together with its selected display unit. Re-entering identical inputs into the same engine version reproduces identical outputs. Any deviation indicates input drift, unit mismatch, or manual tampering — investigate before releasing to production.
A1 · Engine Identity & Integrity
A2 · Input Snapshot (value + selected unit)
A3 · Formulas Applied
A4 · Engineering Assumptions
A5 · Warnings & Limit Checks

SectorCalc SC-030 computes the flat pattern of a bent sheet-metal part: bend allowance from the K-factor neutral-axis model, outside setback, bend deduction, and flat length from apex-measured legs. K is estimated from the R/T ratio per DIN 6935 practice or entered from your own bend trials — the only fully reliable source. Tooling checks cover minimum inside radius, minimum flange, V-die opening and press-brake tonnage per metre. Flat patterns from any K-factor are first-article estimates: cut one blank, measure, correct K, then release.

The neutral axis and K-factor

K = tn / T  (neutral axis offset from inside face)
K ≈ 0.33 + 0.17 · (R/T) / (1 + R/T)  (air-bend practice)

The inside of the bend compresses, the outside stretches; only the neutral fibre keeps its length. At tight radii (R < T) the neutral axis shifts inward toward K ≈ 0.33–0.40; at large radii it approaches the mid-plane K = 0.5. Material, grain direction and die opening all move it — auto-K is a starting value, not a measurement.

Bend allowance, setback, deduction

BA [mm] = θ[rad] · (R + K·T)
OSSB = tan(θ/2) · (R + T)
BD = 2·OSSB − BA

Bend allowance is the arc length of the neutral fibre; setback is what the apex geometry adds; deduction is what you subtract from the sum of apex-measured legs. All three are shown because different CAD and shop conventions use different ones — mixing them up is the classic source of 1–2 mm flange errors.

Flat-pattern length

Lflat = L1 + L2 − BD  (legs measured to the apex)

For multiple bends, repeat per bend and subtract each deduction. Legs must use one convention — this engine takes outside-face-to-apex, the press-brake standard. CAD mold-line dimensions need the mold-line variant: L = (L1−OSSB) + (L2−OSSB) + BA, identical result.

Minimum radius and minimum flange

Cracking on the outside fibre governs the tightest radius: soft aluminium ≈ 0.5·T, mild steel ≈ 1.0·T, stainless ≈ 2·T, hard aluminium (T6) ≈ 3·T — doubled across the rolling grain. The shortest flange that seats on a V-die is ≈ 0.7·V + R; below it the sheet falls into the die and the angle is lost.

V-die selection and tonnage

F [t/m] = 1.42 · Rm[kgf/mm²] · T² / V

Air-bending tonnage scales with the square of thickness and inversely with die opening — 3 mm in V16 needs four times the force of 1.5 mm in V16, not twice. Machine capacity must also cover tooling load limits (t/m of the punch), which are frequently lower than the press rating.

Frequently asked questions

My flat is 1.5 mm short — which input is wrong?

Nine times out of ten, K. Cut one blank, bend, measure the flanges, and solve K backwards from the error. Material batch-to-batch yield variation moves K by 0.02–0.05, worth ~0.5 mm on a 90° bend in 2 mm steel.

Why does the same part bend differently across grain?

Rolling elongates grains; bending across the grain is more ductile. Along-grain bends need larger radii (double for stainless and hard aluminium) and show more springback. Nest grain direction into the cutting plan.

How much springback should I expect?

Air bending mild steel: 0.5–2°. Stainless and HSLA: 2–5°, sometimes more at large R/T. This engine flags high springback risk; compensation is done by over-bending in the press program, not in the flat pattern.

Bottoming vs air bending?

Bottoming (coining the radius) kills springback and sets K ≈ 0.33–0.40 but needs 3–5× the tonnage and dedicated dies per thickness/angle. Air bending with one V-die per thickness range is the modern default; the tonnage formula above is air bending.