Steel Fire Protection — Ratings, Coatings, and Design by Calculation

Unprotected structural steel loses strength rapidly at elevated temperatures. At approximately 1,000 deg F (538 deg C), steel retains only about 60% of its room-temperature yield strength. Fire protection is required by IBC Chapter 7 for all structural steel in rated assemblies. Engineers can choose between prescriptive protection (spray-on, board, intumescent coatings) and fire resistance by rational design per AISC 360-22 Appendix 4 and AISC Design Guide 19.

Steel strength at elevated temperatures

AISC 360-22 Appendix 4, Table A-4.2.1 provides retention factors for yield strength and modulus:

Steel Temperature k_y (Fy retention) k_E (E retention) Notes
68 deg F (20 deg C) 1.00 1.00 Room temperature
400 deg F (204 deg C) 1.00 1.00 No reduction
600 deg F (316 deg C) 1.00 0.98 Slight E reduction
800 deg F (427 deg C) 0.94 0.90 First noticeable strength loss
1000 deg F (538 deg C) 0.61 0.69 Significant reduction
1200 deg F (649 deg C) 0.35 0.34 Severe loss — typical failure region
1400 deg F (760 deg C) 0.16 0.12 Near total loss

The critical temperature is the steel temperature at which the member can no longer support the applied load. It depends on the load ratio (applied load / room-temperature capacity).

Worked example — critical temperature for a floor beam

Given: W21x50 floor beam, A992 steel (Fy = 50 ksi, Zx = 110 in.^3). Applied factored moment at room temperature M_u = 280 kip-ft. Beam is fully braced (compact section, no LTB).

Step 1 — Room temperature capacity: phi _ M_n = 0.90 _ Fy _ Zx = 0.90 _ 50 * 110 / 12 = 412.5 kip-ft

Step 2 — Load ratio under fire conditions: In fire, the load combination is 1.2D + 0.5L (ASCE 7 Section 2.5). Assume this reduces the factored moment to M_u,fire = 195 kip-ft (approximately 70% of the full LRFD load).

Load ratio mu = M_u,fire / M_n,room = 195 / (50 * 110 / 12) = 195 / 458.3 = 0.426

Step 3 — Critical temperature: The critical temperature is the temperature at which k_y = mu = 0.426.

From the retention table, k_y = 0.426 falls between 1000 deg F (k_y = 0.61) and 1200 deg F (k_y = 0.35). Interpolating linearly:

T*cr = 1000 + (0.61 - 0.426) / (0.61 - 0.35) * 200 = 1000 + 0.184/0.26 _ 200 = 1000 + 142 = 1,142 deg F (617 deg C)

This means the beam can reach 1,142 deg F before failure under fire load. The fire protection must keep the steel below this temperature for the required rating duration.

Fire protection methods

Spray-applied fire-resistive material (SFRM)

SFRM (commonly called "spray fireproofing") is the most cost-effective method for concealed steel. Cementitious or mineral fiber material is sprayed directly onto the steel surface.

Property Typical Values
Cost $3 - $8 per SF of steel surface
Density 15 - 40 pcf
Thickness for 1-hour rating 1/2 - 3/4 in. (W-shapes)
Thickness for 2-hour rating 1 - 1.5 in.
Adhesion/cohesion ASTM E736 bond test
Limitations Not suitable for exposed/visible surfaces, moisture-sensitive

Intumescent coatings

Intumescent paints expand when heated (typically 20-50 times their original thickness) to form an insulating char layer. They look like regular paint at room temperature.

Property Typical Values
Cost $15 - $35 per SF of steel surface
DFT (dry film thickness) 20 - 60 mils (0.5 - 1.5 mm) for 1-hour
Max rating achievable 2 hours (some products up to 3 hours)
Application Shop or field, by certified applicators
Inspection DFT measurement per SSPC-PA 2

Board systems

Gypsum board or calcium silicate board enclosure. Common for columns in commercial buildings where the column is enclosed in a wall or soffit.

Section factor (W/D or Hp/A)

The heating rate of a steel member depends on its section factor — the ratio of heated perimeter to cross-sectional area. Lighter sections heat faster.

Section Weight (lb/ft) Hp/A (heated perimeter / area, box method) Relative heating rate
W14x730 730 0.37 Very slow (massive)
W14x120 120 1.07 Moderate
W14x22 22 2.86 Fast (light section)
W8x10 10 4.93 Very fast

The W/D ratio (AISC notation) or Hp/A (Eurocode notation) is used to determine the required thickness of fire protection from manufacturer UL listings or by calculation per AISC DG19 / EN 1993-1-2.

Code comparison

Aspect IBC / AISC DG19 EN 1993-1-2 AS 4100 Sect. 12 NBC / CSA S16
Fire load combination 1.2D + 0.5L (ASCE 7 Sect. 2.5) Psi_1,1 * Q_k,1 (EN 1991-1-2) AS 1170.0 combination G + psi_l * Q 1.0D + 0.5L (NBC 4.1.3.2)
Critical temperature method AISC 360 App. 4 EN 1993-1-2 Section 4.2 AS 4100 Clause 12 CSA S16 Annex K
Standard fire curve ASTM E119 ISO 834 AS 1530.4 (ISO 834) CAN/ULC S101 (similar to E119)
Section factor W/D (AISC) Am/V or Hp/A (m^-1) ksm (section factor) W/D (same as AISC)
Advanced analysis AISC 360 App. 4.2.4 EN 1993-1-2 Section 4.3 AS 4100 Clause 12 (limited) CSA S16 Annex K

EN 1993-1-2 provides a more detailed calculation method including heating equations (lumped mass model) and allows parametric fire curves based on actual fire load density, ventilation, and compartment geometry. The AISC method is simpler and relies on ASTM E119 standard fire testing or critical temperature lookup.

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Disclaimer

This page is for educational and reference use only. It does not constitute professional engineering advice. All design values must be verified against the applicable standard and project specification before use. The site operator disclaims liability for any loss arising from the use of this information.