16.3 Essential, Supplementary Essential and Nonessential Variables with Heat Input Mechanics

Key Takeaways

  • Essential variables (QW-250 series) govern the mechanical strength and ductility of the weldment; any change beyond the qualified limits mandates full procedure requalification and a new supporting PQR.
  • Supplementary essential variables (QW-409/QW-410) apply exclusively when the referencing construction code (e.g., ASME Section VIII Div 1 UCS-66, ASME B31.3) mandates notch toughness; they restrict variables affecting cooling rate such as heat input, interpass temperature, and travel technique.
  • Nonessential variables affect bead geometry, productivity, and workmanship without impairing mechanical properties; they may be updated on the production WPS through engineering revision without retesting or revising the PQR.
  • Standard arc heat input is calculated as H = (60 * V * I) / (1000 * S) in kJ/in or kJ/mm; excessive heat input causes coarse grain heat-affected zone (CGHAZ) embrittlement, while insufficient heat input risks hydrogen-induced cracking and lack of fusion.
Last updated: September 2026

16.2 ASME Section IX Variables: Essential, Supplementary Essential & Nonessential

Quick Answer: ASME Section IX categorizes procedure qualification variables into three distinct classes: Essential Variables (which govern tensile strength and ductility, requiring PQR requalification if changed beyond code limits), Supplementary Essential Variables (which govern notch toughness and become legally active only when the referencing construction code mandates impact testing), and Nonessential Variables (which govern workmanship, arc operation, or bead appearance and can be changed on the WPS without requalification). Process-specific tables (QW-253 for SMAW, QW-254 for SAW, QW-255 for GMAW/FCAW, and QW-256 for GTAW) delineate these requirements. Heat input (H = (60 * V * I) / (1000 * S)) directly dictates weld thermal cycle and cooling rate (t_8/5); for modern pulsed and waveform-controlled power sources, ASME Section IX Appendix H forbids simple average meter multiplication and mandates instantaneous power or energy integration to safeguard against notch toughness degradation.


The Tripartite Classification of Welding Variables

In ASME Section IX, welding variables are systematically categorized to balance structural safety with manufacturing flexibility. When a welding engineer writes or revises a Welding Procedure Specification (WPS), every parameter modification must be evaluated against the variable classifications defined in Article II (QW-250 series) and Article IV (QW-400 series).

                                ASME SECTION IX VARIABLE TAXONOMY

    +---------------------------------------------------------------------------------------+
    |                                 WELDING VARIABLES                                     |
    +---------------------------+---------------------------+-------------------------------+
    |    ESSENTIAL VARIABLES    |  SUPPLEMENTARY ESSENTIAL  |     NONESSENTIAL VARIABLES    |
    |         (QW-250)          |         VARIABLES         |            (QW-250)           |
    +---------------------------+---------------------------+-------------------------------+
    | - Governs Tensile & Bend  | - Governs Notch Toughness | - Governs Workmanship         |
    | - Base Metal P-Number     | - Active ONLY when code   | - Joint groove angle & root   |
    | - Filler Metal F-No/A-No  |   mandates impact test    | - Tungsten electrode size     |
    | - Deposit thickness t     | - Heat Input (QW-409.1)   | - Shielding gas cup size      |
    | - PWHT status (QW-407)    | - Interpass temp (+100°F) | - Peening / Backing type      |
    | - Process / Mode changes  | - Vertical progression    | - Stringer vs Weave bead      |
    +---------------------------+---------------------------+-------------------------------+
    | REQUIRES NEW PQR TEST     | REQUIRES NEW PQR TEST     | WPS REVISION ONLY (NO TEST)   |
    | IF CHANGED BEYOND LIMITS  | IF TOUGHNESS MANDATED     | NO REQUALIFICATION REQUIRED   |
    +---------------------------+---------------------------+-------------------------------+

1. Essential Variables

Per ASME Section IX QW-401.1, an essential variable is a condition in which a change is considered to affect the mechanical properties (other than notch toughness) of the weldment. If an essential variable is altered beyond the qualified limits specified in the applicable QW-250 table, the WPS cannot simply be amended. The procedure must be requalified by welding a new test coupon, performing destructive testing, and certifying a new PQR.

  • Key Examples: Changing the base metal P-Number (QW-403.11), changing the filler metal F-Number (QW-404.4) or A-Number (QW-404.5), exceeding the qualified thickness range (QW-403.8), changing the welding process (QW-401), or altering Postweld Heat Treatment (PWHT) conditions (QW-407.1).

2. Supplementary Essential Variables

Per ASME Section IX QW-401.3, a supplementary essential variable is a condition in which a change will affect the notch toughness properties of a weldment. Supplementary essential variables exhibit a unique legal dual-status:

  • Conditional Activation: They are dormant unless the referencing construction code (e.g., ASME Section VIII Division 1 Part UCS-66, ASME Section III, or ASME B31.3 Chapter III) mandates Charpy V-notch (CVN) impact testing for low-temperature or critical fracture service.
  • Legal Transformation: When impact testing is invoked by the construction code, all supplementary essential variables listed in the QW-250 tables automatically transform into essential variables. Any change beyond their qualified limits mandates welding a new test coupon with impact testing to establish a new PQR.
  • Key Examples: An increase in arc heat input (QW-409.1), an increase in interpass temperature greater than 100°F (55°C) above that recorded on the PQR (QW-406.3), a change in base metal Group Number within a P-Number (QW-403.5), or a change from vertical uphill to vertical downhill progression (QW-405.2).

3. Nonessential Variables

Per ASME Section IX QW-401.2, a nonessential variable is a condition in which a change may be made in the WPS without requalification. These variables influence weld puddle control, deposition rate, penetration profile, and bead appearance, but do not impair the tensile strength, ductility, or toughness of a sound weld.

  • WPS Amendment: The welding engineer may alter nonessential variables directly on the production WPS through an engineering revision without welding a new coupon or revising the PQR.
  • Key Examples: Modifying root opening or groove angle (QW-402.1), changing shielding gas cup size (QW-408.8), changing the diameter of a GTAW tungsten electrode (QW-404.14), or changing between stringer and weave beads (when toughness is not required) (QW-410.9).

Process-Specific Variable Comparison Matrix

The table below synthesizes the governing variables across four primary welding processes: Shielded Metal Arc Welding (SMAW, QW-253), Submerged Arc Welding (SAW, QW-254), Gas Metal Arc / Flux Cored Arc Welding (GMAW/FCAW, QW-255), and Gas Tungsten Arc Welding (GTAW, QW-256).

+-----------------------+-------------------+-------------------+-------------------+-------------------+
| VARIABLE CATEGORY     | SMAW (QW-253)     | SAW (QW-254)      | GMAW/FCAW (QW-255)| GTAW (QW-256)     |
+-----------------------+-------------------+-------------------+-------------------+-------------------+
| Base Metal P-Number   | Essential         | Essential         | Essential         | Essential         |
| Base Metal Group-No   | Supp. Essential   | Supp. Essential   | Supp. Essential   | Supp. Essential   |
| Base Metal Thickness  | Essential (QW-451)| Essential (QW-451)| Essential (QW-451)| Essential (QW-451)|
| Filler Metal F-Number | Essential         | Essential         | Essential         | Essential         |
| Filler Metal A-Number | Essential         | Essential         | Essential         | Essential         |
| Transfer Mode         | N/A               | N/A               | Essential (QW-409)| N/A               |
| Preheat Decrease >100F| Essential         | Essential         | Essential         | Essential         |
| Interpass Incr. >100F | Supp. Essential   | Supp. Essential   | Supp. Essential   | Supp. Essential   |
| PWHT Omission/Addition| Essential         | Essential         | Essential         | Essential         |
| Shielding Gas Mix     | N/A               | N/A               | Essential         | Essential         |
| Heat Input Increase   | Supp. Essential   | Supp. Essential   | Supp. Essential   | Supp. Essential   |
| Vertical Progression  | Supp. Essential   | N/A               | Supp. Essential   | Supp. Essential   |
| Groove Geometry       | Nonessential      | Nonessential      | Nonessential      | Nonessential      |
| Cleaning Method       | Nonessential      | Nonessential      | Nonessential      | Nonessential      |
+-----------------------+-------------------+-------------------+-------------------+-------------------+

The GMAW Transfer Mode Distinction (QW-409.2)

Under Table QW-255 for Gas Metal Arc Welding, QW-409.2 dictates that a change from spray transfer, pulsed spray, or globular transfer to short-circuiting transfer (GMAW-S), or vice versa, is an essential variable. This rule exists because short-circuiting transfer operates at substantially lower arc energy, creating an acute metallurgical propensity for incomplete side-wall fusion ("cold lap"). Consequently, a PQR qualified in spray arc transfer cannot support a production WPS utilizing short-circuiting arc transfer.


Arc Heat Input Mechanics & Cooling Rate Metallurgical Dynamics

Arc heat input represents the quantity of thermal energy delivered to the weldment per unit length of travel. In procedure qualification, controlling heat input is essential for preserving the fracture toughness and microstructure of both the weld metal and the Heat-Affected Zone (HAZ).

Mathematical Formulation

Standard heat input (H) is calculated according to the foundational relationship:

H=60×V×I1000×SH = \frac{60 \times V \times I}{1000 \times S}

Where:

  • H = Arc heat input in kilojoules per inch (kJ/in) [or kJ/mm when travel speed is entered in mm/min].
  • V = Arc voltage in volts (V).
  • I = Welding current in amperes (A).
  • S = Arc travel speed in inches per minute (in/min) [or mm/min].
  • 60 = Conversion constant relating minutes to seconds.
  • 1000 = Conversion constant relating Joules to kilojoules.

To determine the net heat input (H_net) transferred into the steel, the calculated arc energy is multiplied by the process thermal efficiency factor (arc efficiency η):

Hnet=η×HH_{\text{net}} = \eta \times H

Typical arc efficiency factors (η) recognized in international welding engineering standards:

  • Submerged Arc Welding (SAW): η ≈ 0.90 – 1.00 (flux blanket traps thermal radiation)
  • Shielded Metal Arc Welding (SMAW): η ≈ 0.75 – 0.85
  • Gas Metal Arc / FCAW: η ≈ 0.80 – 0.85
  • Gas Tungsten Arc Welding (GTAW): η ≈ 0.60 – 0.70 (high thermal loss to water-cooled torch)

Thermal Cycle and Cooling Time (t_8/5)

The rate of heat dissipation between 800°C and 500°C—designated as the t_8/5 cooling time—governs the solid-state phase transformation of austenite in carbon and low-alloy steels. The relationship between heat input and cooling rate is expressed by Rosenthal's conductive heat flow equations:

For 2D Heat Flow (Thin Plate): t8/5H2d2×(TinterpassT0)2t_{8/5} \propto \frac{H^2}{d^2 \times (T_{\text{interpass}} - T_0)^2}

For 3D Heat Flow (Thick Plate): t8/5H2πk×(TinterpassT0)t_{8/5} \propto \frac{H}{2\pi k \times (T_{\text{interpass}} - T_0)}

Where d is plate thickness, k is thermal conductivity, and T_0 is initial plate temperature.

                                  THE HEAT INPUT OPERATING WINDOW

      LOW HEAT INPUT                                                     HIGH HEAT INPUT
    (< 15 kJ/in / 0.6 kJ/mm)                                           (> 60 kJ/in / 2.4 kJ/mm)
  +---------------------------+--------------------------------------+---------------------------+
  | - Ultra-rapid quench      |       OPTIMAL METALLURGICAL          | - Extremely slow cooling  |
  | - Hard Martensitic HAZ    |          OPERATING WINDOW            | - Austenite grain growth  |
  | - Peak Hardness > 350 HV  |                                      | - Coarse upper bainite    |
  | - Hydrogen Cold Cracking  | - Acicular ferrite weld metal        | - Low CVN absorbed energy |
  | - Lack of fusion risks    | - Refined, tough CGHAZ               | - Yield strength drop     |
  +---------------------------+--------------------------------------+---------------------------+

The Metallurgical Hazards of Uncontrolled Heat Input

  1. Excessive Heat Input (H > H_PQR): Delivers prolonged exposure above the A3 transformation temperature, driving extreme grain growth in the Coarse Grain HAZ (CGHAZ) directly adjacent to the fusion boundary. The resulting microstructure transforms into coarse upper bainite and grain boundary ferrite networks, precipitating a severe collapse in Charpy V-notch absorbed energy and elevating the ductile-to-brittle transition temperature (DBTT).
  2. Insufficient Heat Input (H << H_PQR): Induces rapid cooling rates equivalent to a water quench. In steels with moderate carbon equivalent (CE_IIW > 0.40), austenite transforms into untempered high-carbon martensite. In the presence of residual tensile restraint and diffusible hydrogen, this brittle structure triggers Hydrogen-Induced Cold Cracking (HIC).

Test Your Knowledge

When qualifying a welding procedure using an advanced waveform-controlled pulsed GMAW power source for low-temperature service governed by ASME Section IX, why does Appendix H prohibit determining heat input by multiplying average panel voltage by average panel current?

A
B
C
D