Welding Heat Input Formula: Calculator and Worked Examples

Written by Azmi Anees on October 31, 2026

The heat input formula helps welding professionals understand how much energy is delivered along a weld. This matters because welding energy affects cooling rates, weld properties, and the heat-affected zone. 

By using voltage, current, and travel speed, you can calculate energy per unit length and check whether welding parameters meet the requirements of the approved welding procedure specification (WPS).

Check out: What is P91 Welding? 


What Is the Welding Heat Input Formula?

During arc welding, electrical energy heats and melts the metal. The amount of energy delivered along the weld depends on three factors: arc voltage, welding current, and travel speed.

For metric measurements, the formula is:

Arc energy (kJ/mm) = (Voltage × Current × 60) / (Travel speed × 1,000)

Voltage is measured in volts (V), current in amperes (A), and travel speed in millimeters per minute (mm/min). The numbers 60 and 1,000 convert the result into kilojoules per millimeter.

Arc energy and heat input are related but not always interchangeable. Some standards use the unadjusted result, while others require an efficiency factor to account for energy losses during welding. Always follow the calculation method specified by the applicable code or WPS.


How to Calculate Welding Heat Input

Here’s how you can calculate welding heat input. 

This example shows why you must confirm whether your procedure requires adjusted heat input or unadjusted arc energy.

This method is useful when travel speed is calculated from recorded weld length and arc-on time. Do not use the total time spent on the job, as breaks and setup time can distort the result.


Welding Heat Input in kJ/mm vs. kJ/in

The same calculation can be used with imperial measurements. Enter travel speed in inches per minute (in/min), and the result will be in kilojoules per inch (kJ/in).

For example, with 25 V, 250 A, and a travel speed of 10 in/min:

(25 × 250 × 60) ÷ (10 × 1,000) = 37.5 kJ/in

To compare results in different units, use these conversions:

  • 1 kJ/mm = 25.4 kJ/in
  • 1 kJ/in = 0.03937 kJ/mm

Always convert values before comparing them with WPS limits.


Welding Process Efficiency Factors

Efficiency factors account for the portion of arc energy considered to reach the workpiece in an adjusted calculation. Illustrative reference values used in some methods include:

Welding processAbbreviationFactor
Shielded metal arc weldingSMAW0.8
Gas metal arc weldingGMAW0.8
Flux-cored arc weldingFCAW0.8
Gas tungsten arc weldingGTAW0.6
Submerged arc weldingSAW1.0

These factors are not universal. Confirm the applicable standard and WPS before using one.


How Heat Input Affects Weld Quality

Heat input influences cooling rate and can affect the heat-affected zone (HAZ), microstructure, hardness, and mechanical properties. The effects depend on the base material, thickness, joint design, and welding process. Excessive heat input can affect toughness in some materials, while insufficient heat input may cause rapid cooling and increase the risk of excessive hardness or cracking. Following the approved welding procedure helps control the thermal cycle.

Read more about: Welding Quality Inspection Guide and Checklist


Checking Heat Input Against a WPS

Compare the calculated result with the limits specified by the applicable WPS or governing code. Confirm that the units, calculation method, and definition of heat input match the requirements. For pulsed or waveform-controlled welding, multiplying average voltage by average current may not accurately represent average arc power. Use the measurement method required by the applicable procedure.

Preheat and post-weld heat treatment (PWHT) are separate controls. Preheat warms the base metal before and during welding, while PWHT applies a controlled thermal cycle after welding when required by the relevant procedure or code.


Common Welding Heat Input Calculation Mistakes

Avoid these common errors:

  • Mixing millimeters per minute with inches per minute.
  • Using total job time instead of arc-on time.
  • Applying an efficiency factor when the calculation method does not require one.
  • Comparing adjusted heat input with an unadjusted arc-energy limit.
  • Using unsuitable average readings for waveform-controlled welding.

Consistent measurements and calculation methods make welding records more reliable.


Need Support With Industrial Heat Treatment?

AxiomHT provides on-site preheat and post-weld heat treatment services for industrial projects. Contact the team to discuss your welding requirements and thermal processing needs.


Frequently Asked Questions (FAQs)

Yes, depending on the material and procedure, excessive heat input can affect the weld's microstructure and toughness. Follow the specified limits.

Where required by the WPS, project specification, or inspection plan, calculate and record heat input for the relevant passes.

No, preheat is a separate process variable, although it influences cooling conditions and weld properties.

For conventional arc welding, you generally need arc voltage, welding current, and travel speed. Some processes require a different measurement method.

Yes, higher welding current generally increases arc energy when voltage and travel speed remain constant. The actual effect depends on the welding process and operating conditions.

Depending on the WPS limits, increasing travel speed or adjusting voltage and current may reduce heat input. Always stay within the approved welding parameters to maintain weld quality.

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