Heat Input & Cooling Rate Calculator — t8/5 (EN 1011, SC-029)

Welding-metallurgy engine for welding engineers and IWE/IWTs: arc energy and heat input with process efficiency, transition thickness between 2D and 3D heat flow, t8/5 cooling time per EN 1011-2 Annex D with seam shape factors, carbon equivalents (CE-IIW, CET, Pcm), and preheat temperature per EN 1011-2 Method B from CET, combined thickness, hydrogen scale and heat input. Every report with the full audit trail.

…or set units per field below
1 · Welding Parameters & Material Preset:
Ref: EN 1011-2 thermal efficiency table
Ref: mean arc current (pulse: use mean)
Ref: arc voltage at the torch
Ref: measured with stopwatch over ≥ 300 mm
Ref: single plate — for t8/5 regime check
Ref: temperature AT the weld before striking
Ref: EN 1011-2 Table D.1 shape factors
Ref: from WPS qualification / steel maker data
Ref: mill certificate, ladle analysis
Ref: mill certificate
Ref: mill certificate
Ref: combined for CE-IIW; split below for CET
Ref: combined for CE-IIW; split below for CET
Ref: EN 1011-2 hydrogen scale
Ref: CET = C+(Mn+Mo)/10+(Cr+Cu)/20+Ni/40
Ref: Ni entered separately below
Ref: mill certificate
Ref: Σd of all plates meeting at the joint
2 · Calculation Results (EN 1011-2 Annex D · Method B)
3 · Sensitivity Charts
t8/5 vs Plate Thickness — Transition Point
t8/5 vs Heat Input at Current Thickness
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 a WPS.
A1 · Engine Identity & Integrity
A2 · Input Snapshot (value + selected unit)
A3 · Formulas Applied (EN 1011-2)
A4 · Engineering Assumptions
A5 · Warnings & Limit Checks

SectorCalc SC-029 evaluates welding thermal cycles per EN 1011-2: heat input from arc parameters and process efficiency, the transition thickness that decides between two- and three-dimensional heat flow, t8/5 cooling time with seam shape factors, carbon equivalents, and the Method B preheat temperature. The t8/5 result is checked against an acceptance band because both extremes are dangerous — too fast means hard, crack-sensitive HAZ; too slow destroys toughness, especially in TMCP steels. Computed cooling times carry the standard's own ~10 % model tolerance; in critical applications, verify by measurement.

Arc energy vs heat input

E [kJ/mm] = U·I / (1000 · v[mm/s])
Q [kJ/mm] = η · E  (η: SAW 1.0 · FCAW 0.85 · SMAW/GMAW 0.8 · GTAW 0.6)

Arc energy E counts every joule the arc draws; heat input Q counts only what enters the plate. EN 1011 and most WPS forms want Q. Heat input is the single most lied-about number in fabrication — measure travel speed with a stopwatch, never trust the program value on a robot without verification.

2D vs 3D heat flow and transition thickness

dt = √[ ((4300−4.3·T₀)/(6700−5·T₀)) · 10⁵ · Q · (1/(500−T₀) + 1/(800−T₀)) ]

Thick plates sink heat in three dimensions — thickness stops mattering. Thin plates conduct only in-plane — t8/5 explodes with Q²/d². The transition thickness dt tells you which regime you are in; near it, the standard's error is largest and measurement is recommended.

The t8/5 equations

3D (d ≥ dt): t8/5 = (6700−5·T₀)·Q·[1/(500−T₀) − 1/(800−T₀)]·F3
2D (d < dt): t8/5 = (4300−4.3·T₀)·10⁵·Q²/d²·[(1/(500−T₀))² − (1/(800−T₀))²]·F2

t8/5 is the HAZ's thermal signature: it sets hardness, microstructure and toughness. Shape factors F2/F3 (EN 1011-2 Table D.1) correct for joint geometry — a fillet weld on a T-joint sinks heat into three plates, not one. Acceptance bands come from the steel maker or WPS qualification, not from this tool.

Carbon equivalents

CE(IIW) = C + Mn/6 + (Cr+Mo+V)/5 + (Ni+Cu)/15
CET = C + (Mn+Mo)/10 + (Cr+Cu)/20 + Ni/40
Pcm = C + Si/30 + (Mn+Cu+Cr)/20 + Ni/60 + Mo/15 + V/10 + 5B

CE(IIW) suits conventional C-Mn steels; CET is the basis of Method B preheat and behaves better for low-C TMCP grades; Pcm targets modern low-carbon HSLA. Report all three — auditors and steel makers each have their favourite.

Preheat per Method B

Tp = 697·CET + 160·tanh(dcomb/35) + 62·HD0.35 + (53·CET−32)·Q − 328

Method B balances the four hydrogen-crack drivers: hardenability (CET), restraint (combined thickness), diffusible hydrogen (HD scale) and heat input (Q lowers the need). A computed Tp below 20 °C means no preheat; the result is the temperature AT the weld, measured on the opposite face for thick sections, and maintained through the joint plus tack welds.

Frequently asked questions

My WPS says t8/5 ≤ 12 s but I compute 18 s — what do I change?

Lower heat input: raise travel speed first (cheap), then reduce current/voltage. If the band cannot be met, the joint design or process must change — do not simply weld colder and accept lack of fusion.

Why does preheat increase t8/5?

The 800→500 °C interval sits closer to a preheated plate's temperature, so the thermal gradient driving cooling is smaller. Preheat simultaneously slows cooling (good against hydrogen cracks) and softens the HAZ (bad for some TMCP grades) — hence acceptance BANDS, not just minimums.

How accurate is the computed t8/5?

EN 1011-2 itself states ~10 % under fulfilled assumptions, worse near the 2D/3D transition and for surface heat loss on thin sheet. For qualification-critical work, measure with a plunged thermocouple.

Does this cover stainless or nickel alloys?

No — the (6700−5T₀) and (4300−4.3T₀) coefficients are fitted to unalloyed and low-alloy steels. Austenitic stainless conducts heat ~3× slower; use the same regime logic with material-specific models (or FEM) and interpass limits of 100–150 °C instead.