New FSE wiki article: Structural fire engineering (written by Claude Opus 5.5) |
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The three steps can be combined. [[Time equivalence]] merges them by relating the expected fire to a time of exposure to the standard heating regime, assuming all fire load is consumed. The fire resistance of the element is then compared with that equivalent time.<ref name="ABCB-B3-32" /> Fleischmann and Buchanan describe the full sequence as the rational design method. A design time–temperature curve is chosen, a heat transfer analysis gives the temperature profile, and a structural analysis gives the fire endurance.<ref name="FB-4-239">Fleischmann and Buchanan (2002), p. 4-239.</ref> | The three steps can be combined. [[Time equivalence]] merges them by relating the expected fire to a time of exposure to the standard heating regime, assuming all fire load is consumed. The fire resistance of the element is then compared with that equivalent time.<ref name="ABCB-B3-32" /> Fleischmann and Buchanan describe the full sequence as the rational design method. A design time–temperature curve is chosen, a heat transfer analysis gives the temperature profile, and a structural analysis gives the fire endurance.<ref name="FB-4-239">Fleischmann and Buchanan (2002), p. 4-239.</ref> | ||
[[File:fse-structural-fire-engineering-v1.svg|thumb|upright=1.5|alt=Flowchart with three boxes in a row: fire exposure, heat transfer into members, structural response; a bypass arrow labelled time equivalence leads to a comparison with the fire resistance rating.|The three steps of a structural fire analysis and the time equivalence shortcut. Based on Australian Building Codes Board (2020a), Data Sheet B3, pp. 30–32, and Milke (2002a), p. 4-209.]] | |||
== Behaviour of the main materials == | == Behaviour of the main materials == | ||
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The main effects of fire are thermal bowing and the gradual heating of the reinforcement.<ref name="IFEG-2.6-8">National Research Council of Canada et al. (2005), p. 2.6-8.</ref> The critical temperature is about 593 °C for reinforcing steel and about 426 °C for prestressing steel.<ref name="KH-1-163">Kodur and Harmathy (2002), p. 1-163.</ref> Siliceous aggregate concrete keeps nearly its full compressive strength up to 500 °C but has lost about half of it at 650 °C.<ref name="FB-4-240">Fleischmann and Buchanan (2002), p. 4-240.</ref> | The main effects of fire are thermal bowing and the gradual heating of the reinforcement.<ref name="IFEG-2.6-8">National Research Council of Canada et al. (2005), p. 2.6-8.</ref> The critical temperature is about 593 °C for reinforcing steel and about 426 °C for prestressing steel.<ref name="KH-1-163">Kodur and Harmathy (2002), p. 1-163.</ref> Siliceous aggregate concrete keeps nearly its full compressive strength up to 500 °C but has lost about half of it at 650 °C.<ref name="FB-4-240">Fleischmann and Buchanan (2002), p. 4-240.</ref> | ||
[[File:fse-structural-fire-engineering-v4.svg|thumb|upright=1.5|alt=Horizontal bars of steel temperatures: prestressing steel 426 °C, column limit 538 °C, beam and reinforcing steel limit 593 °C, and WTC 7 expansion damage at or below 400 °C.|Limiting steel temperatures used in fire resistance assessment and the temperatures at which thermal expansion damaged WTC 7. Based on Milke (2002a), p. 4-211, Kodur and Harmathy (2002), p. 1-163, and National Institute of Standards and Technology (2008), p. 21.]] | |||
[[Timber in fire]] chars at its surface. The fire endurance of a timber member depends on its protective membrane, if any, on the depth of charring and on the load-carrying capacity of the uncharred wood.<ref name="White-4-257">White (2002), p. 4-257.</ref> The most widely used empirical model assumes a constant charring rate of 0.6 mm/min across the grain under standard fire exposure. Char has virtually no load-bearing capacity, and its base lies at about 300 °C.<ref name="White-4-260">White (2002), p. 4-260.</ref> After 60 minutes of standard exposure, about 36 mm of wood is therefore lost from each exposed face.<ref name="Calc-SFE">Calculated from White (2002), p. 4-260.</ref> Heavy timber construction uses members with a smallest dimension of at least 80 mm.<ref name="IFEG-2.6-9">National Research Council of Canada et al. (2005), p. 2.6-9.</ref> | [[Timber in fire]] chars at its surface. The fire endurance of a timber member depends on its protective membrane, if any, on the depth of charring and on the load-carrying capacity of the uncharred wood.<ref name="White-4-257">White (2002), p. 4-257.</ref> The most widely used empirical model assumes a constant charring rate of 0.6 mm/min across the grain under standard fire exposure. Char has virtually no load-bearing capacity, and its base lies at about 300 °C.<ref name="White-4-260">White (2002), p. 4-260.</ref> After 60 minutes of standard exposure, about 36 mm of wood is therefore lost from each exposed face.<ref name="Calc-SFE">Calculated from White (2002), p. 4-260.</ref> Heavy timber construction uses members with a smallest dimension of at least 80 mm.<ref name="IFEG-2.6-9">National Research Council of Canada et al. (2005), p. 2.6-9.</ref> | ||
[[File:fse-structural-fire-engineering-v2.svg|thumb|upright=1.5|alt=Three cross-sections exposed to fire from below: a protected steel beam, a concrete slab with reinforcing bars and a hot outer layer, and a timber beam with a char layer.|How fire affects the three main structural materials: steel heats through, concrete heats the reinforcement through the cover, timber loses section by charring. Based on National Research Council of Canada et al. (2005), pp. 2.6-7–2.6-9, and White (2002), p. 4-260.]] | |||
== Calculation methods == | == Calculation methods == | ||
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== Behaviour of whole structures == | == Behaviour of whole structures == | ||
Real structures behave differently from single tested members. When steel is heated it expands, and if columns or other members resist that expansion, forces develop that can buckle beams or break connections.<ref name="NCSTAR1A-21" /> In the collapse of World Trade Center 7, the columns reached only about 300 °C. Thermal expansion of floor beams, mainly at or below 400 °C, nevertheless damaged the floor framing on several floors.<ref name="NCSTAR1A-21" /> On the 13th floor the expanding beams pushed a girder so far that it walked off its seat at a column. Floor 13 then collapsed and started a cascade of floor failures.<ref name="NCSTAR1A-22">National Institute of Standards and Technology (2008), p. 22.</ref> | Real structures behave differently from single tested members. When steel is heated it expands, and if columns or other members resist that expansion, forces develop that can buckle beams or break connections.<ref name="NCSTAR1A-21" /> In the collapse of World Trade Center 7, the columns reached only about 300 °C. Thermal expansion of floor beams, mainly at or below 400 °C, nevertheless damaged the floor framing on several floors.<ref name="NCSTAR1A-21" /> On the 13th floor the expanding beams pushed a girder so far that it walked off its seat at a column. Floor 13 then collapsed and started a cascade of floor failures.<ref name="NCSTAR1A-22">National Institute of Standards and Technology (2008), p. 22.</ref> | ||
[[File:fse-structural-fire-engineering-v3.svg|thumb|upright=1.5|alt=Plan sketch of a floor: heated beams expand and push a girder sideways until it slides off its seat at a column.|Thermal expansion of heated floor beams pushed a girder off its seat at a column in World Trade Center 7. Based on National Institute of Standards and Technology (2008), pp. 21–22.]] | |||
The investigators listed four contributing factors. Thermal expansion occurred at temperatures hundreds of degrees below those used to establish fire resistance ratings, and long-span floors magnified its effects. The connections were designed for gravity loads but not for thermally induced lateral loads, and the structural system was not designed to prevent fire-induced progressive collapse.<ref name="NCSTAR1A-xxxvi" /> NIST also noted that the standard test does not capture interactions between subsystems, elements and connections, because columns, girders and floor assemblies are tested separately.<ref name="NCSTAR1A-67">National Institute of Standards and Technology (2008), p. 67.</ref> | The investigators listed four contributing factors. Thermal expansion occurred at temperatures hundreds of degrees below those used to establish fire resistance ratings, and long-span floors magnified its effects. The connections were designed for gravity loads but not for thermally induced lateral loads, and the structural system was not designed to prevent fire-induced progressive collapse.<ref name="NCSTAR1A-xxxvi" /> NIST also noted that the standard test does not capture interactions between subsystems, elements and connections, because columns, girders and floor assemblies are tested separately.<ref name="NCSTAR1A-67">National Institute of Standards and Technology (2008), p. 67.</ref> | ||
Latest revision as of 18:13, 2 November 2026
Structural fire engineering is the part of fire safety engineering that predicts how a load-bearing structure behaves in a fire and designs it so that it does not collapse too early. The analysis has three parts: the fire exposure, the transfer of heat into the structural members, and the structural response of those members at high temperature.[1][2] Traditionally, the fire resistance of a member was found by testing it in a furnace for a set duration. Calculation methods were developed because tests are slow and expensive, and because old materials may no longer be available for testing.[1]
Structural design for fire is conceptually similar to normal structural design, but with important differences. The applied loads are usually lower and the strength of materials is reduced. Cross-sections may become smaller through charring or spalling, and forces from thermal expansion must be considered.[3][4] Fire engineers usually predict the thermal effects of a fire, while structural engineers analyse how the structure responds.[4] The collapse of World Trade Center 7 showed that thermal expansion can cause failure at temperatures well below those used to set conventional fire resistance ratings.[5]
Aims and scope
The basic aim is that building elements achieve the level of fire resistance that the design requires.[3] Introduction to Fire Safety Engineering lists the preservation of the load-bearing structure as one of the sub-goals of the Dutch building regulations.[6] The limit state is reached when the load-bearing capacity of an element, frame or assembly falls below the dead load and other loads applied to it.[3]
How long the structure must survive depends on the building. In New Zealand, C/VM2 (second edition, 2025) requires that in buildings with an escape height above 10 m, the load-carrying structure and floors resist collapse and fire spread between floors until burnout. Lower buildings must resist collapse for at least 30 minutes.[7] The 2013 commentary explains that taller buildings must not collapse catastrophically even after everyone has left, because people outside at ground level could be endangered.[8]
The structure also matters for firefighting. Introduction to Fire Safety Engineering notes that the Dutch standard NEN 6093 sets limits for a fire service deployment in a space with a smoke and heat exhaust system. One of them is that the calculated maximum smoke layer temperature stays below the critical temperature of the load-bearing structure.[9] The book stresses that a positive outcome of such an analysis does not mean that the fire service will actually attack the fire from inside. That decision always rests with the fire service present at the time.[9]
Structural fire engineering is not limited to beams and columns. Non-loadbearing elements that provide compartmentation, and essential services such as power and communication cables, may also need to keep working during a fully developed fire.[2] C/VM2 calls the elements that provide the basic load-bearing capacity primary elements. If fire affects them, instability or premature collapse may follow.[10]
The three steps of an analysis
The first step describes the fire. Either a nominal curve such as the standard fire curve is assumed, or the expected real fire is modelled.[1] The Eurocodes give a choice between a temperature–time curve and a natural fire whose course follows from the fire and the room.[11] A parametric fire curve is a typical empirical way to derive the gas temperatures of the fully developed and decay phases.[12] Introduction to Fire Safety Engineering adds that a zone model can provide the thermal load on load-bearing and separating elements.[9]
The second step calculates how hot the members become. Heating within a member is treated mainly as conduction, with radiative and convective conditions at its surfaces. Radiation and convection inside the member may also matter if it contains voids or porous insulation.[1] For steel, a heat transfer analysis typically finds the time at which the member reaches a predetermined critical temperature. The temperature limits of the standard test are often accepted as these critical temperatures.[1]
The third step checks the structural response. Many structural calculations resemble those for normal design, except that material properties are taken at high temperature and thermal expansion is included. The loading and end conditions must be known or assumed.[1] Deflections, strains and stresses are compared with set limits.[1]
The three steps can be combined. Time equivalence merges them by relating the expected fire to a time of exposure to the standard heating regime, assuming all fire load is consumed. The fire resistance of the element is then compared with that equivalent time.[12] Fleischmann and Buchanan describe the full sequence as the rational design method. A design time–temperature curve is chosen, a heat transfer analysis gives the temperature profile, and a structural analysis gives the fire endurance.[13]
Behaviour of the main materials
Each structural material responds differently, so the methods differ per material.[3] Steel in fire heats rapidly when it is unprotected. The International Fire Engineering Guidelines (2005) note that unprotected steel structures therefore usually do not perform well, unless they are carefully detailed. Some unprotected structures survive if the fire is mild and the structure can redistribute thermal stresses.[4]
Protection systems include concrete encasement, boards of calcium silicate or gypsum, spray-applied materials and intumescent paints.[4] Under ASTM E119, the average temperature of a steel column is limited to 538 °C and that of a loaded steel beam to 593 °C. At these temperatures steel loses much of its strength and stiffness.[14][15]
Concrete in fire generally behaves well. Concrete is non-combustible and has a low thermal conductivity. It tends to stay in place, protecting the reinforcement, while the cool inner core continues to carry the load. Catastrophic failures of reinforced concrete structures are rare, but some occur.[13]
The main effects of fire are thermal bowing and the gradual heating of the reinforcement.[16] The critical temperature is about 593 °C for reinforcing steel and about 426 °C for prestressing steel.[17] Siliceous aggregate concrete keeps nearly its full compressive strength up to 500 °C but has lost about half of it at 650 °C.[18]
Timber in fire chars at its surface. The fire endurance of a timber member depends on its protective membrane, if any, on the depth of charring and on the load-carrying capacity of the uncharred wood.[19] The most widely used empirical model assumes a constant charring rate of 0.6 mm/min across the grain under standard fire exposure. Char has virtually no load-bearing capacity, and its base lies at about 300 °C.[20] After 60 minutes of standard exposure, about 36 mm of wood is therefore lost from each exposed face.[21] Heavy timber construction uses members with a smallest dimension of at least 80 mm.[22]
Calculation methods
Calculation methods range from simple to advanced. Milke distinguishes empirical correlations, heat transfer analyses and structural analyses.[1] Empirical correlations are fitted to many standard test results. They can only be applied to the fire exposure, loading and span of the standard test.[1] For concrete, national codes commonly give tables of minimum dimensions and minimum cover to the reinforcement.[16]
Many ratings still come directly from tests. For timber, White notes that listed ratings apply only to the assembly actually tested. They normally do not allow changes such as added insulation, other member sizes or wider spacing, although code interpretation sometimes accepts larger members or thicker protection.[19] In Europe, Eurocode 5 provides calculation methods for timber at three levels of complexity.[19] In New Zealand, C/VM2 (second edition, 2025) offers several routes to a rating. These include an equivalent time of exposure, a fire with the same destructive potential, and a thermal and structural calculation for the material concerned.[23]
For steel, the guidelines describe two main approaches. Simple models for single elements use a lumped heat capacity analysis together with a limiting temperature that depends on the applied load. Because they follow the steel temperature over time, they can be used with any time–temperature regime.[4] They are not suitable where large temperature gradients cross the section, such as in a beam supporting a concrete slab. In such cases finite element analysis is appropriate.[4] For steel frames, a general method with specialist computer programs calculates the stresses, strains and internal forces in each member.[4]
For concrete, Buchanan's advice in the guidelines depends on the structure. Simply supported slabs and beams heated from below need only the reduced yield strength of the reinforcement, so hand calculations are possible. Continuous members also need the reduced compressive strength of the concrete. For moment-resisting frames or members with axial restraint, special-purpose computer programs are recommended.[22] Finite element programs used widely for steel and concrete structures in fire include SAFIR and VULCAN.[24] Introduction to Fire Safety Engineering notes that such a model divides a structure into many small cells, much as a CFD model divides a room.[25]
The Eurocodes provide much of the design basis in Europe. Introduction to Fire Safety Engineering notes that they can be used to determine the fire resistance of load-bearing structures against collapse.[9] The zone model OZone, which follows EN 1993-1-2, calculates the temperature of a steel member under a natural or standard fire. The fire resistance of the member is then determined to that standard.[26] Its authors developed it as a practical tool for a performance-based analysis of simple steel elements in a compartment fire.[27] Testing remains necessary, at least to validate calculation methods and to assess how members, insulation and other components interact.[28]
Behaviour of whole structures
Real structures behave differently from single tested members. When steel is heated it expands, and if columns or other members resist that expansion, forces develop that can buckle beams or break connections.[15] In the collapse of World Trade Center 7, the columns reached only about 300 °C. Thermal expansion of floor beams, mainly at or below 400 °C, nevertheless damaged the floor framing on several floors.[15] On the 13th floor the expanding beams pushed a girder so far that it walked off its seat at a column. Floor 13 then collapsed and started a cascade of floor failures.[29]
The investigators listed four contributing factors. Thermal expansion occurred at temperatures hundreds of degrees below those used to establish fire resistance ratings, and long-span floors magnified its effects. The connections were designed for gravity loads but not for thermally induced lateral loads, and the structural system was not designed to prevent fire-induced progressive collapse.[5] NIST also noted that the standard test does not capture interactions between subsystems, elements and connections, because columns, girders and floor assemblies are tested separately.[30]
Protection also proved decisive in the World Trade Center towers. NIST concluded that the towers would likely not have collapsed if the thermal insulation had not been widely dislodged by the aircraft impacts.[31] Among its recommendations was a "structural frame" approach to fire resistance ratings, and better technical bases for ratings and test methods.[32] A performance objective of burnout without collapse, NIST added, will require standard fire exposures different from those used today.[33]
New hazards raise similar questions. For indoor car parks with electric vehicles, the Netherlands Institute for Public Safety suggests fire-resistant cladding or a sturdier construction near charging points. For a travelling car fire or a compartment fire, the entire structure may need greater fire resistance so that the car park survives a burnout.[34] The report notes that car park structures are generally designed for a normative fire development, and that the effect of electric vehicle fires on them still needs research.[34]
Limits and uncertainty
Structural fire engineering inherits the uncertainty of the fire itself. Variations in fire load of 50 % or more are common, which can change fire temperatures by hundreds of degrees and durations by 50 % or more.[35] Material properties at high temperature are a second source of uncertainty. For steel, all properties except density are strongly influenced by temperature.[14] The rational design method for concrete also relies on experimental strength data, which depend on the test method used.[18]
Simplified methods have clear limits. Methods for walls and columns may be less accurate because uneven heating can cause deformations that lead to instability.[22] Calculation results for protected steel also assume that the protection stays in place, so its adhesion under full-scale deformations usually has to be confirmed by fire tests.[16] The guidelines recommend structural engineers for structural analysis and limit the role of fire engineers, unless suitably trained, to predicting thermal effects.[4]
See also
- Fire resistance criteria
- Travelling fire
- Progressive collapse
- Restrained thermal expansion
- Tensile membrane action
Notes
- ↑ 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 Milke (2002a), p. 4-209.
- ↑ 2.0 2.1 Australian Building Codes Board (2020a), Data Sheet B3, p. 30.
- ↑ 3.0 3.1 3.2 3.3 National Research Council of Canada et al. (2005), p. 2.6-6.
- ↑ 4.0 4.1 4.2 4.3 4.4 4.5 4.6 4.7 National Research Council of Canada et al. (2005), p. 2.6-7.
- ↑ 5.0 5.1 National Institute of Standards and Technology (2008), p. xxxvi.
- ↑ Van Rossum (2027), §1.2.
- ↑ Ministry of Business, Innovation and Employment (2025b), p. 55.
- ↑ Ministry of Business, Innovation and Employment (2013), p. 151.
- ↑ 9.0 9.1 9.2 9.3 Van Rossum (2027), §9.3 (Results from zone models).
- ↑ Ministry of Business, Innovation and Employment (2025b), p. 68.
- ↑ Van Rossum (2027), §8.6.
- ↑ 12.0 12.1 Australian Building Codes Board (2020a), Data Sheet B3, p. 32.
- ↑ 13.0 13.1 Fleischmann and Buchanan (2002), p. 4-239.
- ↑ 14.0 14.1 Milke (2002a), p. 4-211.
- ↑ 15.0 15.1 15.2 National Institute of Standards and Technology (2008), p. 21.
- ↑ 16.0 16.1 16.2 National Research Council of Canada et al. (2005), p. 2.6-8.
- ↑ Kodur and Harmathy (2002), p. 1-163.
- ↑ 18.0 18.1 Fleischmann and Buchanan (2002), p. 4-240.
- ↑ 19.0 19.1 19.2 White (2002), p. 4-257.
- ↑ White (2002), p. 4-260.
- ↑ Calculated from White (2002), p. 4-260.
- ↑ 22.0 22.1 22.2 National Research Council of Canada et al. (2005), p. 2.6-9.
- ↑ Ministry of Business, Innovation and Employment (2025b), p. 18.
- ↑ National Research Council of Canada et al. (2005), p. 2.6-10.
- ↑ Van Rossum (2027), §11.2.
- ↑ Van Rossum (2027), §9.5.
- ↑ Cadorin et al. (2003), p. 431.
- ↑ Milke (2002a), p. 4-210.
- ↑ National Institute of Standards and Technology (2008), p. 22.
- ↑ National Institute of Standards and Technology (2008), p. 67.
- ↑ National Institute of Standards and Technology (2005), p. xxxviii.
- ↑ National Institute of Standards and Technology (2005), p. 208.
- ↑ National Institute of Standards and Technology (2005), p. 212.
- ↑ 34.0 34.1 Van der Graaf et al. (2021/2023), p. 36.
- ↑ Lie (2002), p. 4-202.
References
- Australian Building Codes Board. (2020a). Data sheets: Fire Safety Verification Method (Handbook annex, Print version 1.1).
- Cadorin, J.-F., Pintea, D., Dotreppe, J.-C., & Franssen, J.-M. (2003). A tool to design steel elements submitted to compartment fires – OZone V2. Part 2: Methodology and application. Fire Safety Journal, 38, 429–451. https://doi.org/10.1016/S0379-7112(03)00015-8
- Fleischmann, C., & Buchanan, A. (2002). Analytical methods for determining fire resistance of concrete members. In P. J. DiNenno, D. Drysdale, C. L. Beyler, W. D. Walton, R. L. P. Custer, J. R. Hall Jr., & J. M. Watts Jr. (Eds.), SFPE handbook of fire protection engineering (3rd ed., pp. 4-239–4-256). National Fire Protection Association; Society of Fire Protection Engineers.
- Kodur, V. K. R., & Harmathy, T. Z. (2002). Properties of building materials. In P. J. DiNenno, D. Drysdale, C. L. Beyler, W. D. Walton, R. L. P. Custer, J. R. Hall Jr., & J. M. Watts Jr. (Eds.), SFPE handbook of fire protection engineering (3rd ed., pp. 1-155–1-181). National Fire Protection Association; Society of Fire Protection Engineers.
- Lie, T. T. (2002). Fire temperature-time relations. In P. J. DiNenno, D. Drysdale, C. L. Beyler, W. D. Walton, R. L. P. Custer, J. R. Hall Jr., & J. M. Watts Jr. (Eds.), SFPE handbook of fire protection engineering (3rd ed., pp. 4-201–4-208). National Fire Protection Association; Society of Fire Protection Engineers.
- Milke, J. A. (2002a). Analytical methods for determining fire resistance of steel members. In P. J. DiNenno, D. Drysdale, C. L. Beyler, W. D. Walton, R. L. P. Custer, J. R. Hall Jr., & J. M. Watts Jr. (Eds.), SFPE handbook of fire protection engineering (3rd ed., pp. 4-209–4-238). National Fire Protection Association; Society of Fire Protection Engineers.
- Ministry of Business, Innovation and Employment. (2013). Commentary for Building Code clauses C1–C6 and Verification Method C/VM2.
- Ministry of Business, Innovation and Employment. (2025b). Verification Method C/VM2: Framework for fire safety design (2nd ed.).
- National Institute of Standards and Technology. (2005). Final report on the collapse of the World Trade Center towers (NIST NCSTAR 1).
- National Institute of Standards and Technology. (2008). Final report on the collapse of World Trade Center Building 7 (NIST NCSTAR 1A).
- National Research Council of Canada, International Code Council, Department of Building and Housing, & Australian Building Codes Board. (2005). International fire engineering guidelines (2005 ed.). Australian Building Codes Board.
- Van der Graaf, J., Hessels, T., & Rosmuller, N. (2023). Fire safety of indoor car parks accommodating electrically powered vehicles. Nederlands Instituut Publieke Veiligheid. (Original work published 2021)
- Van Rossum, E. (2027). Introduction to Fire Safety Engineering. Fire Safety Academy.
- White, R. H. (2002). Analytical methods for determining fire resistance of timber members. In P. J. DiNenno, D. Drysdale, C. L. Beyler, W. D. Walton, R. L. P. Custer, J. R. Hall Jr., & J. M. Watts Jr. (Eds.), SFPE handbook of fire protection engineering (3rd ed., pp. 4-257–4-273). National Fire Protection Association; Society of Fire Protection Engineers.