Carbon Equivalent & Preheat Calculator

Work out a steel’s carbon equivalent from its composition with the IIW formula, Pcm and CEN, see which of TWI’s weldability groups it falls in and what that means for preheat and hydrogen control, or find the most carbon a steel can have for a target CE.

Calculator Welding Updated Oct 4, 2026
How to Use
  1. Enter the composition from the mill certificate in weight per cent: carbon is required, and any element you leave blank counts as zero.
  2. Pick the formula to lead with: CE (IIW) for ordinary carbon and carbon-manganese steels, Pcm for low-carbon steels, or CEN for any carbon level. All three are always worked out.
  3. Read the TWI weldability group under the diagram and its preheat and hydrogen-control guidance.
  4. To set a purchasing limit, choose Max carbon, enter the other elements and a target CE, and read the most carbon the steel may have.
  5. Press a preset for A36, A572 Grade 50 or 4140, and check Show Work for each formula with your numbers in it.
Composition
wt %
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Presets
Weldability Scale
CE (IIW)
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Ito–Bessyo
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CEN
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TWI group
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Worked Example

A36 plate. AZoM’s typical A36 analysis gives 0.25–0.29% carbon, 1.03% manganese and 0.20% copper. At the top of the carbon range, CE = 0.29 + 1.03/6 + 0.20/15 = 0.29 + 0.1717 + 0.0133 = 0.475. That is in TWI’s 0.4–0.5 group: thin sections without preheat, thicker sections with low preheat and low-hydrogen electrodes. At 0.25% carbon the same steel is 0.435.

4140 alloy steel. In the middle of AZoM’s ranges (0.405% C, 0.875% Mn, 0.95% Cr, 0.20% Mo), CE = 0.405 + 0.875/6 + (0.95 + 0.20)/5 = 0.405 + 0.1458 + 0.23 = 0.781, so preheat, low-hydrogen consumables, post-weld heating and slow cooling are all called for.

The common mistake: dropping the small numbers on the certificate. Leave chromium and molybdenum out of the 4140 sum and you get 0.405 + 0.1458 = 0.551, which still says “preheat” but understates the hardenability badly; the right figure is 0.781. Every element in the formula counts, divided by its own number.

Show Work

Enter values and calculate to see the step-by-step breakdown.

Formulas

CE (IIW)
CE = C + Mn/6 + (Cr + Mo + V)/5 + (Ni + Cu)/15
International Institute of Welding, 1967; best above 0.12% carbon
Pcm (Ito–Bessyo)
Pcm = C + Si/30 + (Mn + Cu + Cr)/20 + Ni/60 + Mo/15 + V/10 + 5B
For low-carbon steels such as pipeline grades
CEN (Yurioka)
CEN = C + A(C) × {Si/24 + Mn/6 + Cu/15 + Ni/20 + (Cr + Mo + Nb + V)/5}
A(C) = 0.75 + 0.25 tanh{20(C − 0.12)}, as printed by JWES
AWS D1.1 form
CE = C + (Mn + Si)/6 + (Cr + Mo + V)/5 + (Ni + Cu)/15
The IIW formula with Si/6 added, as TWI describes it
TWI correlations
CEN ≈ 2 Pcm − 0.092 (C ≤ 0.17%) · CEN ≈ CE + 0.012 (C ≥ 0.17%)
Yurioka’s links between the three
Maximum carbon
Cmax = CEtarget − (CE of the other elements)
CEN is solved numerically because A(C) depends on carbon

Why Carbon Equivalents, and Where the Formulas Came From

The heat-affected zone next to a weld cools fast enough to harden, and hard steel plus hydrogen from the welding consumable plus stress is the recipe for hydrogen (cold) cracking, which can appear hours after welding. Carbon raises hardenability most, but manganese, chromium, molybdenum and the rest add to it too. A carbon equivalent rolls them into one number.

TWI traces the idea to 1940, when Dearden and O’Neill proposed a formula to predict strength, hardenability and HAZ hardness. In 1967 the International Institute of Welding adopted a simplified version, the CE (IIW) used here, which went into EN 1011-2 (replacing BS 5135) and, with silicon added, AWS D1.1. Ito and Bessyo published Pcm in 1968 from a wider range of Japanese steels, and Yurioka’s CEN covers both ends: it tracks CE (IIW) above about 0.15% carbon and gives the alloying elements less weight as carbon falls. The Japan Welding Engineering Society notes that CEN is written into ASTM A1005 and ASME B16.49.

Hydrogen control matters as much as the steel. EN 1011-2 grades consumables by diffusible hydrogen in ml per 100 g of weld metal: scale A above 15 (high), B 10–15, C 5–10, D 3–5 and E 3 or less (ultra-low), as TWI lists them. For crack-sensitive work TWI mentions preheat up to 200 °C, and 250–300 °C held for three to four hours in the worst cases.

About This Tool

This calculator gives CE (IIW), Pcm and CEN for any composition, places CE (IIW) in TWI’s three weldability groups with their preheat and hydrogen guidance, and shows how much each term adds. It does not estimate a preheat temperature: that depends on thickness, restraint, heat input and hydrogen level, and comes from a method such as EN 1011-2 or the alternative methods in AWS D1.1. The presets are labelled compositions from published data sheets (AZoM for A36 and 4140, Alro’s maxima for A572 Grade 50); use your own mill certificate for real work.

The guidance is a starting point; the welding procedure specification and the code for the job decide the preheat. Everything runs in your browser; nothing you enter is sent anywhere.

Related tools: Weld Heat Input Calculator, Filler Rod / Electrode Selection Guide, and Fillet Weld Size & Strength Calculator.

Frequently Asked Questions

What is the carbon equivalent formula?

The IIW formula is CE = C + Mn/6 + (Cr + Mo + V)/5 + (Ni + Cu)/15, with each element in weight per cent. A steel at A572 Grade 50’s limits of 0.23% carbon and 1.35% manganese has CE = 0.23 + 1.35/6 = 0.455.

At what carbon equivalent do you need preheat?

TWI’s guide: below CE 0.4 steel is readily weldable and preheat is generally not needed with low-hydrogen processes; from 0.4 to 0.5 thin sections can go without preheat but thicker sections need low preheat; above 0.5 you need preheat, low-hydrogen consumables, post-weld heating and slow cooling. 4140 in the middle of its range is CE 0.781. The actual temperature comes from a method such as EN 1011-2 or AWS D1.1.

When should I use Pcm instead of CE?

For low-carbon steels. The Japan Welding Engineering Society notes that CE (IIW) suits steels above 0.12% carbon, and TWI says Pcm is used for modern pipeline steels with about 0.11% carbon or less. A steel with 0.08% C and 1.5% Mn plus small alloy additions can show CE 0.427 but Pcm only 0.201.

What is CEN?

Yurioka’s carbon equivalent, CEN = C + A(C) × {Si/24 + Mn/6 + Cu/15 + Ni/20 + (Cr + Mo + Nb + V)/5}, where A(C) = 0.75 + 0.25 tanh{20(C − 0.12)} runs from about 0.5 at very low carbon to 1.0. Above roughly 0.15% carbon it tracks CE (IIW): for A36 at 0.29% C it gives 0.487 against CE 0.475.

Why does AWS D1.1 add Si/6?

TWI notes that AWS D1.1 uses the IIW formula in a modified form with a Si/6 term added, so silicon counts like manganese. For an A36 analysis with 0.28% silicon that lifts CE from 0.475 to 0.522.

How do I use the Carbon Equivalent & Preheat Calculator?

Just type your numbers. The answer shows up right away — there is no button to press. Change anything and it updates by itself.

Do I need to install or sign up for anything?

Not at all — it runs in the browser with nothing to install and no account. After it loads once, it even works without an internet connection.

Is my information private?

Yes. Everything happens in your browser. Nothing you type is sent to a server or saved anywhere.

Common Use Cases

Reading a mill certificate

An A36 heat at 0.29% C, 1.03% Mn and 0.20% Cu is CE 0.475, in TWI’s 0.4–0.5 group, so thick sections will want low preheat and low-hydrogen electrodes.

Setting a carbon limit

With 1.0% manganese and nothing else, staying at or under CE 0.40 allows at most 0.233% carbon.

Repairing alloy shafts

4140 in the middle of its range (0.405% C, 0.95% Cr, 0.20% Mo) is CE 0.781, well into the group that needs preheat, post-heating and slow cooling.

Low-carbon plate and pipe

For a 0.08% carbon steel, Pcm (0.201 in the preset) and CEN (0.291) are the better guides than CE (IIW) at 0.427.

Comparing two heats

Lowering carbon from 0.29% to 0.25% in the A36 analysis drops CE from 0.475 to 0.435.

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