Press Brakes

How to Calculate Press Brake Tonnage: Formula, Tables & Worked Examples

Close-up of a CNC press brake forming sheet metal with punch and V-die

Every press brake purchase decision starts with one number: how many tons do you need? Get it wrong in one direction and you're buying more machine than the job requires. Get it wrong in the other and you're cracking tooling, deflecting frames, and scrapping parts on the first production run.

Tonnage calculation is not complicated, but it requires understanding a few variables — material thickness, bend length, die opening, and process type — and knowing where the safety margins are. This guide covers the formula, quick reference tables for the most common materials, two worked examples, and the capacity rules that protect your machine and your tooling.

The Air Bending Tonnage Formula

The overwhelming majority of CNC press brake work is done in air bend mode — where the punch penetrates the die opening to a programmed depth, forming the angle without bottoming out against the die walls. The air bending tonnage formula is:

T = (60 × t² × L) / V
T  = required tonnage (metric tons)
t   = material thickness (mm)
L  = bend length (meters)
V  = die opening width (mm)
60 = constant for mild steel (tensile strength ~400 N/mm²)

The constant 60 is calibrated for mild steel with a tensile strength of approximately 400 N/mm². For other materials, you multiply the result by a correction factor covered in the next section.

The Die Opening Rule

The die opening V is the width of the V-die slot. The standard rule for air bending is: V = 8 × material thickness. For 3mm mild steel, use a 24mm die. For 6mm plate, use a 48mm die.

Going narrower than 8× the thickness increases tonnage requirements significantly and can mark the part surface. Going wider produces a larger inside bend radius, which may not meet drawing tolerances. The 8× rule is the starting point — confirm with your tooling supplier for specific materials.

Substituting V = 8t into the tonnage formula simplifies it to a quick mental calculation:

T = 7.5 × t × L   (mild steel, air bend)
t in mm  |  L in meters  |  T in metric tons

This version is fast enough to run in your head. 4mm mild steel at 2 meters: 7.5 × 4 × 2 = 60 tons. For other materials, multiply by the correction factor below.

Quick Reference: Mild Steel Tonnage by Thickness

The table below gives air bending tonnage per meter of bend length for mild steel, using the standard 8× die opening for each thickness.

Thickness Recommended V-die Tons per meter Tons for 2m bend Tons for 3m bend
1 mm8 mm7.5 t/m15 t22.5 t
2 mm16 mm15 t/m30 t45 t
3 mm24 mm22.5 t/m45 t67.5 t
4 mm32 mm30 t/m60 t90 t
5 mm40 mm37.5 t/m75 t112.5 t
6 mm48 mm45 t/m90 t135 t
8 mm64 mm60 t/m120 t180 t
10 mm80 mm75 t/m150 t225 t
12 mm96 mm90 t/m180 t270 t

These are calculated requirements. Apply the 80% safety rule (explained below) when choosing a machine — divide the calculated tonnage by 0.80 to get the minimum recommended machine rating.

Material Correction Factors

The base formula uses the constant 60, which reflects mild steel. Every other common sheet metal material requires a correction multiplier applied to the mild steel result.

Material Correction Factor Notes
Mild steel (A36, A572)1.0 (base)~400 N/mm² tensile strength
304 / 316 Stainless steel1.5 – 1.7Higher UTS + pronounced work hardening; use 1.7 for conservative sizing
Duplex stainless1.8 – 2.2Very high yield strength; machine sizing requires manufacturer confirmation
5052 / 6061 Aluminum0.5 – 0.65Much lower UTS; 5052 is at the lower end, 6061-T6 closer to 0.65
Copper / Brass0.5 – 0.7Varies significantly by alloy and temper
High-strength / HSLA steel1.5 – 2.0A514, Hardox, AR400; use actual UTS/400 as the correction factor
Galvanized / pre-coated steel1.0 – 1.1Same as mild steel base; thin coating has negligible tonnage effect
Using the Correction Factor

Calculate the mild steel tonnage first using T = 7.5 × t × L, then multiply by the correction factor. For 3mm 304 stainless at 2 meters: 7.5 × 3 × 2 = 45 tons (mild steel) × 1.7 = 76.5 tons required. The 80% capacity rule then pushes machine sizing to at least 95 tons.

Air Bending vs Bottom Bending vs Coining

The formula above is for air bending. The other two bending processes require dramatically more force and use a different machine sizing approach.

Process Tonnage Multiple (vs air bend) When it's used
Air bending 1× (baseline) Standard CNC press brake production; angle controlled by punch depth
Bottom bending (bottoming) 3 – 5× Removes springback by driving material into die; needed for tight-tolerance angle consistency on high-springback materials
Coining 5 – 8× Full plastic deformation of the bend zone; eliminates springback completely; rarely used on modern servo-CNC machines

If any of your production work requires bottom bending, size the machine on the bottoming tonnage, not the air bending figure. Running a bottoming sequence on a machine sized only for air bending will overload the frame.

Worked Example 1: 4mm Mild Steel, 2-Meter Bend

Scenario: 4mm A36 mild steel, 2,000mm bend length, air bend mode

1Material factor: mild steel = 1.0 (base)
2Die opening: V = 8 × 4mm = 32mm
3Tonnage: T = 7.5 × 4 × 2 = 60 tons
480% capacity rule: 60 / 0.80 = 75-ton minimum machine rating
Recommended machine: 80-ton or 100-ton press brake with 2.5–3m bed

Worked Example 2: 3mm Stainless Steel, 1.5-Meter Bend

Scenario: 3mm 304 stainless steel, 1,500mm bend length, air bend mode

1Material factor: 304 stainless = 1.7 (conservative)
2Die opening: V = 8 × 3mm = 24mm
3Mild steel base tonnage: 7.5 × 3 × 1.5 = 33.75 tons
4Apply stainless factor: 33.75 × 1.7 = 57.4 tons
580% capacity rule: 57.4 / 0.80 = 71.7-ton minimum machine rating
Recommended machine: 80-ton press brake (comfortable margin for stainless variation)

The 80% Capacity Rule

Never plan production at the full rated tonnage of the machine. The standard practice is to stay within 80% of rated capacity, leaving a 20% margin for real-world variables:

To apply the rule: take your calculated tonnage and divide by 0.80. That result is the minimum machine rating you should purchase.

If the calculation gives 90 tons, you need at least a 112-ton machine. Rounding up to the next standard size (typically 125 tons) gives you meaningful operating headroom throughout the machine's service life.

Off-Center Bending

The tonnage rating on a press brake nameplate assumes the load is applied in the center of the bed. When you bend a short part positioned toward one end of the machine, the load distribution between the two cylinders becomes unequal, and the effective capacity drops.

Most press brake manufacturers limit off-center loads to 10–15% of rated capacity per side. For a 100-ton machine with a 3-meter bed, bending a 500mm part at the far end of the bed may be limited to 30–40 tons effective capacity — not 100 tons. Check your machine's off-center capacity table in the operator manual before running short-part production at the ends of a long bed.

Common Mistake

Shops frequently exceed off-center capacity limits when bending short flanges, brackets, or prototype parts on a large-bed machine without checking the side-load table. The machine does not stop you — but the ram will visibly tilt, angle consistency degrades, and repeated overload damages the guide system over time.

When to Step Up Tonnage Class

Beyond the calculated minimum, there are several reasons to size up to the next machine class:

What This Means for Machine Selection

Press brakes are sold in standard tonnage steps: 40, 60, 80, 100, 135, 175, 220, 300, 400, 500, 600+ tons. Bed lengths typically run 2.5m, 3m, 3.6m, and 4m. After running your tonnage calculation and applying the 80% rule, round up to the next standard step.

Rise Tek carries the full Dener and Haco EuroMaster S press brake lineup from 40 to 600+ tons with 2.5m to 6m bed lengths. The Dener range includes hydraulic, servo-electric (belt-drive, up to 200 tons), and ball screw models — each suited to different production profiles. See our comparison post if you haven't yet worked through the hydraulic vs servo-electric drive decision.

Need Help Sizing a Press Brake for Your Shop?

Bring your most demanding part specs — material, thickness, bend length — and we'll run the numbers with you. Rise Tek provides machine sizing consultations at no charge for Canadian fabricators.

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