Fire design of steel
Steel does not burn, but it loses strength and stiffness as it heats. Above about 400 °C its yield strength starts to fall; by around 550 to 600 °C it retains only about half to two-thirds of its normal strength, and its modulus has dropped further. Because steel conducts heat well and thin sections heat quickly, unprotected members in a building fire can reach these temperatures within minutes.
Fire resistance is the time a member keeps its load-bearing function in a standard fire test, expressed as 30, 60, 90 or 120 minutes, set by building regulations according to occupancy and height. In India, required periods are in the National Building Code, and IS 800 has a section on fire resistance. The design load in fire is lower than at ambient, because full imposed load and wind rarely coincide with a fire, so the member only needs to reach a critical temperature at which its reduced strength equals that lower load.
How fast a section heats is measured by its section factor: heated perimeter divided by cross-sectional area. A light section with a large perimeter heats fast; a heavy compact section heats slowly. Protection slows the heating: sprayed fire-resisting material, boards, intumescent coatings that swell into insulating char, or concrete encasement and filling. The thickness required depends on the section factor, the critical temperature and the required period, and comes from tested data for each product.
Performance-based fire engineering goes further, modelling realistic fires and the behaviour of the whole frame, including the tensile membrane action of composite floors. Connections, which can be stressed by restrained thermal expansion and later by cooling, need particular care.
Use the section factor to compare members quickly: heavy, compact sections need less protection.
Section factor (unprotected, four-sided exposure): A_m / V = heated perimeter / areaI-section, profile exposure: perimeter ≈ 4 b + 2 h − 2 t_w; box protection: perimeter = 2 (b + h)Fire check: design effect in fire ≤ resistance at the steel temperature
Specifying protection thickness without matching it to the section factor and required period.
Problem. An I-section has b = 150 mm, h = 300 mm, t_w = 8 mm and area 5 808 mm². Find its section factor for four-sided exposure with profile protection and with box protection.
- Profile perimeter ≈ 4 × 150 + 2 × 300 − 2 × 8 = 600 + 600 − 16 = 1 184 mm.
- Profile section factor = 1 184 / 5 808 = 0.204 mm⁻¹ = 204 m⁻¹.
- Box perimeter = 2 × (150 + 300) = 900 mm; section factor = 900 / 5 808 = 0.155 mm⁻¹ = 155 m⁻¹.
- The box encloses the section with a smaller heated perimeter, so it heats more slowly for the same protection thickness.
Answer. About 204 m⁻¹ with profile protection and 155 m⁻¹ with box protection
Quick quiz
1Does a higher section factor mean faster or slower heating?
Faster.
2Name two forms of fire protection.
Sprayed material, boards, intumescent coating or concrete encasement.
3Why is the fire design load lower than the ambient design load?
Full imposed load and wind are unlikely to coincide with a fire.
- IS 800 (India): General construction in steel: limit state design of steel members and connections.
- National Building Code of India 2016 (India): Model code for buildings: planning, structural design, fire, construction practice and safety, building services.
- EN 1993 (Eurocode 3) (Europe): Design of steel structures.
- EN 1994 (Eurocode 4) (Europe): Design of composite steel and concrete structures.
Cited by number and clause only. We do not reproduce clause text, tables or figures (BIS Act 2016, s.10(5) and s.11). Check the current edition and amendments before use.
References and further reading
Standard texts, listed in no order of merit. We do not copy text, figures, tables or solved problems from any book; our explanations and examples are original.
- N. Subramanian, Design of Steel Structures, Oxford University Press, latest edition.
- C. G. Salmon, J. E. Johnson, F. A. Malhas, Steel Structures: Design and Behavior, Pearson, 5th edition.
- W. T. Segui, Steel Design, Cengage, latest edition.
Free and official sources
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