Bending / Xeon NC

Bend radius. Chosen by the die.

The inside radius is not a styling decision in CAD. In air bending it is produced by the die opening, and every number that follows—flat length, springback, hole spacing, minimum flange—is downstream of it.

Design Guide / Inside Radius14 minute read
TRUMPF CNC press brake forming a sheet metal part between a punch and a V-die
DIE OPENING / NATURAL RADIUS
Radius rule
Ri ≈ 0.16 × V
Production radii
5 VALUES
Tightest / widest
0.050″ – 0.315″
Angle control
ACB ±0.5°
0.16 × V
The die makes the radius
In air bending the natural inside radius is a fixed fraction of the V-die opening, not of the punch tip.
1.0–2.5T
Real R/T range
Because a die covers a band of gauges, the actual radius-to-thickness ratio moves with where your gauge falls.
Ri + 2T
The radius sets clearances
Hole and slot spacing is measured from the bend tangent, which moves when the radius changes.
T² ÷ V
Tighter costs force
Tonnage scales with thickness squared over die opening, so a tighter radius is a real process change.
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01 / What the Radius Controls

One number decides most of the part.

The inside bend radius looks like a small CAD field. It is actually the input that determines the developed flat length, the springback behavior, the safe distance to every nearby feature, and whether the outside of the bend cracks.

Designers reach for a bend radius the way they reach for a fillet: pick something that looks reasonable and move on. On a press brake that choice propagates. Change the inside radius and the neutral axis moves, which changes the bend allowance, which changes the blank. Change it again and the tangent lines move, which changes how far a hole has to sit from the bend. Change it far enough and the material on the outside of the bend runs out of elongation and splits.

None of that is exotic. It is just consequence. The useful framing is that the radius is not a preference—it is a specification with four dependents.

Pick a radius the tooling can make. Everything else follows from it.
Dependent 01 / Flat pattern
BLANK LENGTH

The bend allowance is an arc measured along the neutral axis. Its length is a direct function of the inside radius, the K-factor, and the angle. A different radius is a different blank.

Dependent 02 / Springback
ANGLE RECOVERY

A larger radius strains less of the section past yield, so more of the sheet springs back elastically. Radius and angle accuracy are the same problem.

Dependent 03 / Feature clearance
TANGENT POSITION

Holes, slots, tapped features, and hardware are measured from the bend tangent. The tangent line moves outward as the radius grows.

Dependent 04 / Material integrity
OUTER FIBER STRAIN

Outside-surface elongation is approximately T ÷ (2Ri + T). Tighten the radius and that strain climbs quickly toward the material limit.

Why this guide is specific rather than general.Most published bend-radius advice stops at “use one material thickness.” That is a starting point, not an answer, because the radius you receive is produced by a physical die. This guide works from the tooling backward, using the bend data that drives Xeon NC quoting.
02 / The Die Makes the Radius

Air bending forms a natural radius.

The punch does not stamp its own tip shape into the sheet. It pushes the material into a gap, and the material chooses an arc.

In air bending—the method used for virtually all press-brake work at Xeon NC—the sheet touches the tooling at exactly three lines: the two die shoulders and the punch nose. It never reaches the bottom of the V. The bend angle is controlled by how far the punch descends, and the inside radius is whatever the material naturally forms while spanning the opening.

That natural radius is remarkably predictable. For the tooling and materials in our library it is close to 16 percent of the die opening, and it is essentially independent of the punch tip radius as long as the punch nose is sharper than the natural radius.

Cross-section of an air bend in a V-die A press-brake punch pushes sheet metal into a V-die. The sheet touches the tooling at only three lines: the two die shoulders and the punch nose. It never reaches the bottom of the V, so the inside radius formed in the sheet is set by the die opening rather than by the punch tip radius. V DIE OPENING Ri ≈ 0.16 × V T AIR GAP — THE SHEET NEVER BOTTOMS PUNCH NOSE RADIUS < Ri V-DIE THREE CONTACT LINES — NOTHING ELSE TOUCHES SHEET
Air bendThe sheet is supported at the two die shoulders and loaded at the punch nose. Because it never bottoms out, the inside radius is a property of the span, not an impression of the tool. A sharper punch does not produce a sharper part.

Two consequences fall out of this immediately. First, a designer cannot request an arbitrary inside radius and expect it for free—the request is really a request for a specific die. Second, the same die produces the same inside radius across every gauge it covers, which means the radius-to-thickness ratio is not constant.

The punch tip is a common misconception.Punch nose radius only becomes the governing radius when it is larger than the natural radius the die would form, or when the part is bottomed or coined rather than air bent. In standard air bending, specifying a punch tip radius in CAD does not change what the sheet does.
03 / Production Radii

Five radii cover the whole catalog.

Xeon NC forms sheet metal with a fixed set of WILA-style dies. That set produces exactly five standard inside radii, and material thickness decides which one you get.

This is the table to design against. If the radius in your model matches the value in the third column, your CAD flat pattern and our production flat pattern will agree, and the bend data behind the instant quote applies without adjustment.

V-dieOpeningInside radiusThickness rangeMin. formed flangeTypical use
W88 mm / 0.315″0.050″0.020″ – 0.048″0.198″Light gauge: 24–18 Ga. steel and stainless, thin 5052
W1212 mm / 0.472″0.076″0.050″ – 0.075″0.298″16 and 14 Ga. steel, 0.050″–0.063″ aluminum
W2020 mm / 0.787″0.126″0.080″ – 0.120″0.496″12 and 11 Ga. steel, 0.080″–0.100″ aluminum
W3030 mm / 1.181″0.189″0.125″ – 0.188″0.744″10 Ga. through 3/16″ plate, 1/8″ aluminum
W5050 mm / 1.969″0.315″0.250″ – 0.313″1.240″1/4″ and 5/16″ hot-rolled, stainless, 5052

Both derived numbers in that table come from the die opening. Inside radius is 0.16 × V and minimum formed flange is 0.63 × V, measured to the outside of the part. That is why the flange minimum grows in lockstep with the radius: a thicker part needs a wider die, a wider die needs more material on the shoulders, and both constraints tighten together.

Above 0.33 inch, air bending stops.Material thicker than roughly 0.33″ exceeds the range of this tooling set. Thicker plate is not auto-quoted for forming; it is reviewed as a manual job with different tooling and force assumptions.

The 1T rule breaks inside a die band

Because one die serves a range of gauges, the ratio of inside radius to thickness is highest at the thin end of each band and lowest at the thick end. The chart below plots real R/T for the gauges we form. Anything above roughly 2T is a case where a designer who modeled “1T” will get a noticeably different flat pattern than they expected.

ACTUAL Ri / T BY GAUGE0 ——— 2.5T
0.020″ 5052 · W8
2.50T
0.024″ CRS · W8
2.08T
0.032″ 5052 · W8
1.56T
0.036″ CRS · W8
1.39T
0.048″ CRS · W8
1.04T
0.050″ 5052 · W12
1.52T
0.075″ CRS · W12
1.01T
0.080″ 5052 · W20
1.57T
0.120″ 304 · W20
1.05T
0.125″ 5052 · W30
1.51T
0.188″ HRP&O · W30
1.01T
0.250″ 304 · W50
1.26T

Read that chart as a design signal rather than a warning. A 2.5T inside radius on 0.020″ aluminum is completely safe for the material—the risk is not cracking, it is a flat pattern that disagrees with the model by more than the tolerance on the part.

04 / Radius Lookup

Check your gauge before you model.

Select the material family and thickness you plan to order. These are the values our bend data assigns to that combination.

XEON NC BEND DATA / AIR BENDLIVE LOOKUP
Inside radius
Model this value on every bend
Ri / T ratio
What “1T” actually becomes
V-die
Selected automatically at the brake
K-factor
Neutral axis position for this pairing
Min. formed flange
Outside dimension, 90° bend
Feature clearance
Ri + 2T from the bend tangent

The K-factor shown is the value our bend tables carry for that specific material and gauge—not a generic 0.44. It moves with alloy, temper, and die, which is exactly why a CAD default K-factor and a production flat pattern rarely land on the same blank.

Do not chase the flat.If you model the inside radius correctly and control the finished outside dimensions, you do not need to match our developed length. Send the folded model and let the bend data produce the blank. The full material and bend-deduction lookup lists every supported gauge.
05 / Material Limits

Some alloys will not accept a tight radius.

Tooling sets the radius you receive. Material decides whether the radius you want is survivable at all.

The outside of a bend is in tension. Approximate outer-fiber elongation is T ÷ (2Ri + T), so a 1T radius stretches the outside surface by about 33 percent, a 2T radius by about 20 percent, and a 0.5T radius by about 50 percent. Compare those numbers against the alloy’s available elongation and the answer becomes obvious: soft, annealed, and H32-temper material has room; hard T6 tempers do not.

Comparison illustration of a bend radius tighter than material thickness showing cracking and distortion on the outside of the bend
Too tightBelow the material minimum, the outside surface runs out of elongation. The failure shows up as orange-peel texture first, then as visible micro-cracking along the bend line, then as a split.

Typical minimum inside radius by material

The values below are conventional starting points for a 90° bend, expressed as a multiple of thickness. Treat them as screening guidance: exact minimums move with gauge, temper lot, and surface condition, and the quote preflight remains the authority.

MaterialConditionMin. Ri across grainMin. Ri with grainBend behavior
Aluminum 5052H320.5–1T1–1.5TThe sheet-metal workhorse. Forms cleanly at every standard radius we run.
Aluminum 6061T62.5–3T3.5–4TSprings back hard and cracks readily. Most bend complaints on aluminum trace here.
Aluminum 7075T64–5T5T+Rarely cold formed. Usually machined or formed in the annealed condition and re-heat-treated.
Steel A1008Cold-rolled CS0.5–1T1–1.5TVery forgiving. Consistent springback, excellent surface after forming.
Steel G90Galvanized0.5–1T1–1.5TBase steel forms like CRS, but the zinc coating can flake or whiten at tight radii.
Steel A36 / A1011Hot-rolled P&O1–1.5T1.5–2TMore variation in thickness and yield, so more variation in formed angle.
Stainless 304 / 316Annealed, 2B0.5–1T1–1.5TDuctile but work-hardens fast. Highest springback of the common sheet materials.
Steel A572 Gr 50HSLA1.5–2T2–2.5THigher yield means substantially more springback and more tonnage per foot.
Corten A588 / A606Weathering1.5–2T2–3TLess forgiving than mild steel and prone to edge cracking from the cut edge.
AR500500 BHN plate3–5T5T+Abrasion plate. Normally specified flat rather than formed.
What Xeon NC air-bends as a standard offering.Cold-rolled and galvanized steel, hot-rolled pickled-and-oiled steel, 304 and 316 stainless, and 5052-H32 aluminum carry full production bend data and quote automatically. 6061-T6, 7075-T6, 1100-H14, MIC-6 cast plate, Corten, A572 HSLA, AR500, and spring steel are flagged for engineering review instead of auto-quoted for forming.

Grain direction is worth two columns

Rolled sheet has a grain. A bend line running perpendicular to the rolling direction stretches across the grain and tolerates a tighter radius. A bend line running parallel to it stretches along the grain and needs roughly 1.5 to 2 times the radius before the surface stays sound. On a single-bend part this costs nothing to control. On a four-sided enclosure, two of the bends will always be with the grain, which is why the with-grain column is the one to design against when the material is marginal.

Signals the radius is safe
Room to move
Ri at or above the with-grain minimum for the alloy
Annealed, H32, or cold-rolled commercial-quality stock
Laser edges free of heavy dross along the bend line
Outer-fiber strain comfortably under the alloy elongation
Signals to review before release
Running out of ductility
T6 temper aluminum with a standard air-bend radius
Bend line parallel to the rolling direction on hard stock
A bend crossing a cut edge, notch, or existing hole
Cosmetic outside surface on a marginal radius
06 / Choosing in CAD

Six rules that make the model match the part.

The goal is not to find the theoretically ideal radius. It is to model a radius that the brake will actually produce, so the flat pattern, the drawing, and the finished part all describe the same object.

01
Model the standard radius for your gauge.
Look up your thickness in the table above and use that inside radius on every bend. This single step removes the most common source of disagreement between a customer flat pattern and a production flat pattern.
Ri = 0.16 × V FOR YOUR GAUGE
02
Use one radius throughout the part.
Mixed radii on the same part mean mixed dies, which means a tool change mid-job or a segmented setup. Both cost time and both add a re-gauging step that widens the tolerance stack. A uniform radius is cheaper and more accurate.
ONE RADIUS / ONE SETUP
03
Never model a zero-radius bend.
A sharp corner in CAD is not a manufacturing instruction, it is missing information. It forces an assumption about the radius, and the assumption drives the blank. Sharp corners also break flat-pattern generation in most CAD packages.
Ri > 0 ON EVERY BEND
04
Check the radius against the material, not just the tooling.
The die will happily form a radius the alloy cannot survive. Confirm your inside radius clears the with-grain minimum for the temper you ordered, especially on 6061-T6 and anything above 50 ksi yield.
Ri ≥ MATERIAL MINIMUM
05
Re-check feature spacing after you change the radius.
The bend tangent moves outward when the radius grows. A hole that cleared the bend-affected zone at 0.050″ may not clear it at 0.126″. Measure clearance from the tangent, not from the theoretical corner.
EDGE ≥ Ri + 2T FROM TANGENT
06
Let the radius be an approximation, and say so.
The inside radius is a formed result with its own variation. Toleranced tightly on a drawing it becomes an inspection problem with no process to back it. Control the outside dimensions and the angle instead, and show the radius as reference.
Ri AS REFERENCE / (0.126)
If a tighter radius is genuinely functional, say why.A sharp inside corner needed for a seal groove, a mating extrusion, or a hem is a real requirement, and there are processes for it. What causes rework is an unexplained 0.010″ radius in a model that was never intended as a specification.
07 / Downstream Effects

What moves when the radius moves.

Changing the inside radius is never a local edit. Four other quantities change with it, and three of them can put a part out of tolerance without touching a single dimension on the drawing.

QuantityDirection of changePractical consequenceHow it is managed
Bend allowanceGrows with radiusThe developed blank gets longer, so the finished flange lengths shift if the flat is held fixed.Blank is developed from production bend data, not from a CAD default.
SpringbackGrows with Ri/TThe part opens further after the ram retracts, and the effect varies with lot-to-lot yield.Optical angle measurement corrects each bend in process.
Bend-affected zoneGrows with radiusHoles and slots that were clear become oval or pull toward the bend.Clearance is re-checked against Ri + 2T from the tangent.
Minimum flangeGrows with die openingA short leg that fit the previous die can no longer stay on the shoulders.Flange minimum of 0.63 × V is validated at preflight.
Forming tonnageFalls as the die widensA wider die reduces force, which is why large radii are the cheap direction and tight radii are not.Force scales roughly with T² ÷ V; long bends are checked against machine capacity.

Springback deserves the extra sentence. It is not a fixed percentage that can be dialed in once. A 304 stainless part with a 1.5T radius recovers more than the same geometry in cold-rolled steel, and two coils of the same 304 spec can differ enough to matter on a ±0.5° part. That is the reason the brake measures the angle while the material is still under load rather than relying on a stored overbend value—see the ACB laser on our TRUMPF 5170.

±0.5°
Standard angle band
Measured in process wherever the geometry gives the sensor a valid optical surface.
REFERENCE
How to call out Ri
The formed radius is a process outcome. Show it in parentheses and tolerance the outside dimensions instead.
Ri + 2T
Feature clearance
Measured from the bend tangent to the nearest edge of a hole, slot, or tapped feature.
08 / When to Deviate

Tighter, wider, and everything in between.

Standard air bending covers the large majority of parts. When a design genuinely needs something else, the process changes—and the change is worth knowing about before the drawing is released.

NON-STANDARD RADIUS / PROCESS OPTIONSREVIEW REQUIRED
TIGHTER
Bottoming or coining forces the sheet into the die and drives the radius toward the punch tip. It demands several times the tonnage of an air bend and needs dedicated tooling per angle.
Manual
WIDER
A radius larger than the widest standard die is produced by bump forming—a series of small bends along a developed arc. Facet visibility depends on step count and material.
Manual
TRUE ARC
A continuous large-radius curve is a roll-forming operation rather than a press-brake operation. It has its own minimum-diameter and end-flat constraints.
Quote
HEM
A flattened or teardrop hem is a two-hit operation: an acute bend followed by a flattening pass. It is the correct way to get a safe edge, not a very tight bend.
Supported
RELIEF CUT
A laser-cut score or slot on the inside of the bend lets a hard material turn a corner it could not otherwise survive. It reduces stiffness and is not appropriate for sealed or structural joints.
Design

The pattern across all five is the same: leaving the air-bend envelope trades an automatic quote for an engineering conversation. That is often the right trade. It is rarely the right accident.

For the tooling reasoning behind die selection, see the tooling selection guide and the press-brake tooling library. For what happens to features near the bend, see the bend-affected zone guide.

09 / Release Checklist

Eight lines before you upload.

Every item below is something the preflight will check anyway. Checking them first is how a part quotes in one pass instead of three.

BEND RADIUS / RELEASE CHECK0 / 8 READY
Radius set / preflight next

Upload the folded model and let the bend data do the rest.

Send the formed STEP with a realistic inside radius and the correct material and thickness. We will confirm the die, develop the blank, validate the deformation zones, and return a production-ready quote.

Upload your STEP →