In this technical article, Gian Carlo Giuliani, structural engineer at Redesco, presents the theoretical fundamentals of fire resistance calculations for structures through the presentation of a case study: the steel structure of a commercial centre in Cyprus.
1. Fire safety assessment of structures: general approach
A structure subjected to fire must be safe for the time necessary for the escape of the people and for the safe operation of the rescue and fire brigade; the verification is based on the fulfilment of the following conditions for the evacuation time and the safe operation of the fire brigade:
- R structural resistance
- E structure and pavement smoke tightness
- I isolation or limit of the temperature of the floor above the fire
These conditions are verified taking into account the temperature versus time evolution by means of:
- for the R condition: a step by step analysis of the temperature in the ambient and in the structural elements, followed by the verification of the load bearing capacity resulting from the reduction of the material mechanical parameters
- a verification of the existence of a structure capable of satisfying the E and I conditions
The assessing of the structure is related to the actual use of the building and to the relevant amount of possibly combustible materials; therefore, the calculations are based on the temperature development induced by a real fire in a closed space, which is bound by the floor, the ceiling, and the edge partitions and connected to the open air through the side openings.
The standard fires, recommended by codes for the structural design or by the national laws, show a continuous increase of temperature which, because of the correspondent reduction of the strength of the materials, limits the time of the load bearing capacity of the structure.
On the contrary, the real fires can evolve from the amount of possibly burning material and from the oxygen available in the space or drawn in through the side openings and therefore always have a decay phase.
2. Shopping centres & fire safety: special requirements
In many cases, recent shopping centres are based on large column grid lines and are developed over two or three stories; a steel-concrete composite structure is a very efficient solution for the floors.
Because of the appealing contrast between the elegant exhibited goods and the high technical aspect of the in sight structure, the application of any passive fire protection spoils the architectural results and only sprinkler systems are accepted.
Therefore, the 'naked' structure fire resistance has to be assessed for the real operating conditions.
In annex A of Eurocode 1, the temperature evolution developed by the natural fire is defined as depending on the fuel amount and on the ventilation conditions given by the compartment geometry, the boundary thermal characteristics, and the openings.
Other parameters, defined in annex E of Eurocode 1, are related to the danger of fire activation as per table E1 and to the function of active fire fighting measures, as per table E2.
3. A real case scenario
The fire resistance assessment is developed for the composite steel-concrete floor of a building which is composed of main beams continuous over 8 m spans and of secondary ones also continuous over 16 m spans.
The design value of the fire load qf,d is defined as: qf,d = qf,k m δq1 δq2 δn (MJ/m2).
Where m = 0.80 is the combustion factor of the material.
δq1 = is a factor taking into account the fire activation risk due to the size of the compartment
δq2 = is a factor taking into account the fire activation risk due to the type of occupancy
δn = Πδni = 0.237 is a factor taking into account the different active fire fighting measures (sprinkler, detection, automatic alarm transmission, fire fighters). These active measures are generally imposed for life safety reasons.
qf,k (MJ/m2) is the characteristic fire load density per unit floor area.
The temperature raising depends on the kind of the fire which can occur:
- a general fire which is controlled by the ventilation
- a local fire which is controlled by the fuel amount
Each one of the above said conditions yields a completely different result.
The temperature evaluation was performed for two basic fire conditions:
• local fire in a department store bounded by wood shelves; this condition yields a fire development governed by the fuel and is more stringent than the following one
• general fire in the total floor surface bounded by masonry walls with few openings; this condition occurs as a consequence of the local fire and yields a fire development governed by the ventilation
For the examined case history, according to the site and the building features, the following parameters were used for the calculations taken from tables E1 and E2 of EC1:
δq1 = 1,60 is a factor taking into account the fire activation risk due to the size of the compartment
δq2 = 1,00 is a factor taking into account the fire activation risk due to the type of occupancy
δn1 = 0,61 automatic water extinguishing system
δn2 = 0,87 independent water supplies
δn3 = 1,00 automatic fire detection & alarm – by heat
δn4 = 0,73 automatic fire detection & alarm – by smoke
δn5 = 0,87 automatic alarm transmission to fire brigade
δn6 = 1,00 on site fire brigade
δn7 = 0,78 off site fire brigade
δn8 = 0,90 safe access routes
δn9 = 1,00 fire fighting devices
δn10 =1,00 smoke exhaust system
Because of the above said parameters, the fire can be controlled by fuel or by ventilation; the growth rate of the fire was selected as fast (tlim=15 minutes) in all the calculations.
The strategy adopted for the fire resistance assessment was based on the calculation of the maximum amount of possibly burning material which can be stored in the compartment having the internal height h=4.50 m; the goods on show are mainly composed of cellulosic clothes and tissues having a specific calorific value Hu=20.00 MJ/kg (the same parameter for the wood is 17.5) and a combustion factor m=0.80.
Two different scenarios were used for the fires controlled by the fuel amount or by the ventilation; the growing rate of the fire was selected as fast with the corresponding limit time tlim=0.25 hours.
The relevant parameters are indicated in the following table:
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)
(*) qtd (MJ/m2)=qfdAf/At
(**) tmax=max(0.0002qtd; tlim)
In general, the fire governed by the ventilation lasts for hours but with temperatures below the steel critical ones.
An interesting remark is given for the above said condition:
- the amount of air necessary for burning one kg of cellulosic material with the relevant calorific value of Hu=20MJ/kg is Aa=0,312Hu+0.65=6.89 kg/kg
- being ρ =1.225 kg/m3 the specific mass of the air, the specific air volume which is necessary for burning the material is Va=5.62 m3/kg
- given the compartment volume V=23040 m3, the total mass M of the material which can burn by using the inside air is therefore given by M=V/Va=4100 kg, which corresponds to an average distribution of M/AF=0.8 kg/m2 <f.
The evolution of the temperatures developed by the natural fire is defined by the following function as per annex A of Eurocode 1; a decay branch of the temperature curve is taken into account because the temperature increasing of the steel is shifted in time and the maximum value appears during the ambient cooling phase.
The gas temperature versus time is therefore given by the function:
![](data:image/png;base64,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)
with t expressed in hours.
4. Loading condition and material mechanical properties concurrent to the fire
- the fire was considered an exceptional loading condition
- the fire, originating in the floor, was considered a local hazard
- the material resistance safety factors were reduced accordingly to the temperature (Figure 6)
- the loading safety factors were reduced also gg =1.0, gq=1.0 and the design live load q was reduced by a participation factor ψq =0.7 related to the use of the area
Figure 6: Scheme of the moment redistribution for an edge bay of the continuous beam
5. Structural analysis procedure
A step by step versus time procedure for both cases was used for calculating the temperatures of the fire and of the materials for determining the correspondent resistance.
- set time to 0s
- increment time 5s
- calculate the temperature of the standard fire versus time
- calculate the correspondent temperature of the steel according to the mass / exposed surface ratio of the beams and of the material and fire parameters
- calculate the resistance of the steel and of the concrete correspondent to the temperature
- for the mid span and the support sections calculate the ultimate resistance according to the schemes below:
- perform an elastic-plastic structural analysis taking into account the action redistribution between the most exposed sections towards the ones subjected to a lower temperature according to the scheme of figure 6: at the ultimate state, the mid span moment capacity is given by Mus=M1R+M2R/2 and the maximum resisted load is qu=8Mus/L2
- verify the resistance to the vertical shear at supports and the studs subjected to the horizontal shear
- compare the structure resistance R with the action A of the supported load
- if R>A start a new iteration; if not, the time resistance is determined because, due to the exhaustion of its redistribution capability, a part of or the whole structure is transformed into a mechanism.
In the examined case history, because of the limited stiffness of the columns and of the sliding supports at the relevant bases, the axial forces introduced in the beams by the constraint of the thermal strains were not crucial for the ultimate bending resistance.
6. Calculation of the steel temperatures
The calculation of the temperatures takes into account the geometry of the structure:
- the bottom flange of a beam is directly hit by the fire
- the web and the upper flange are in shadow from the flame radiating effect and therefore are subjected to a lower temperature
- the top of the reinforced concrete slab and the relevant reinforcement are subjected to a much lower temperature
The following relations, taken from Eurocode 4, were used for the calculation of the temperature of the structural steel:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAP0AAAA6CAIAAAD0usinAAAO0ElEQVR4nO2cf1ATVx7A33TGuak9w7RnZ1oPzgTbWsZp0465a8/yK4qWi9HkRjzL1dDUnvYghTL+QGmCRz3HIyDqUQOldyNW0HMkSmzaxmE1ygwSk3qX2uOmXC4iwYYL2lay6ckdLfPuj90Nm2ST3U0WYsp+/mnZ7O777nuf993vexAB5OGZfYBkB8DDkwR473lmI7z3PLMR3nue2QjvPc9shPeee7yOzk6H955t2T+AdCID/kTa4eAWSYb3nlu8js5Ow66ioiZHMlp3NBUV7TLEcN8/gHQe0W8u2mYaTqSdYdO2os36IynsPu89h3gdSXSeAHefQn3/AMKB8wS4+ymqPu89Z3gd+zSrkus8gaNplWZfmPn+gSPaYnrnvY7Ozk6mddqwaVux9kgqms97zxH+AYNmMzeZFEKvI9ESYthUrNpHvoX3tLaYflL6B/blpi1cmAbWtjNs3rF3jeZ0UhYzCcF7zw3e0xrNMW6s9w8gVblArO9P7DYhQvoH9ql2MbD+yEbhwuK9GjEQaq8wbCdihqUEvPec4DWsXcOF9v4BpPPARiEAiXsPh4+tWWvAxPcjmlx67b2nNwrTntrrGG7OBcwTPoSOXbkaJMXE573nAm609w8gBzYKFy4rWraQC+/h8LE1qnY/ZKi9f2BfLlhYbBqG8LwmjVX7jl25jF8P9wi89xzgb1+b25x4th82bSsqKmpyQJOKE+/hcLNKg/ghvKIVa87TnEske+y6XBaFDoTwvIZ4s6QKvPccwMQrNnDlPTyvEWuvMJmWpGSPXcdiZQshHG7OZXP6PQDvfeJ4D0qX7OVoJwdCyKH3w3uXFBj8H7++aIMp5nnkZA8hhP16NitbCKFpw+NvWOMOMwnw3ieOSXZ/ZjWnN+TKe1idKXjpSnXm/bJY3nsdVbkACDce6CQ4sFFIXtl6HXT7+SaZ4Kl6DuKdMXjvE+ee9v5+mSm296irLh+kLVmuJLN8SRoQau34KfZDykP2qDeAcBq6YLrhxvvJifG7d+/+9ztObpZypLT3I10lQpCx4Ywn5KjHkAOAogOFEELUZbW6UJqIv4fej4yMxPj0uzuDV7q7Th7veP/I+6cuufyTnIVGC+qydtGOyAyQwt6PXK3OB2lL9kRkc0QTTPh2rTDH4Im8lgy5C1CXtavraixn4iOKh6jLGkdj9N6PNFc3R7vvpN91zqDbvGHDrzdtLlEuzXhC3XWTdQjxgl4oFwLaEZkBUth7+yGlUll5JrIPPWcqlVhxg3Yo0jQITTvkLrBrhSBjZ+y6KA6oPRy52lSSE0djdN6jrrp8kE8t/oTP3rx51drdH10fhxDCOx+ofzTnVTPrEOJlmvqXPUjJwxJOF3X2Q9Qysqde8nAJUi95uIRO3KigF8rFq4/SxULqArRDAegnCuswqD2MuzEa79EL2pyMNJBfR1FO3PnkD6ueXGH4bAL/edJWLZyz6UP2McQH+ZFHrnZ1dU3Ly5UJ/XqxKvY+YdIwqcT6/rbVi3bEnR6YVDkQ2ncsWt0GIZx6C6Muaxd3g0LlIeqydjWVCIGwpIl9I7G9H+nS7jy0Z3UaEJZfCBN/4uaJ4nSR5tytuwRfvLcSLH7byTKAkOYwfUOJ8khTVQ7qslbnpy1ZrqTbdJgupgb9nqNt9aIddrp9zFgwqnLIdY5dKwRpirquo/rXsH2h/OrEzaf00HOm8rkMADKeU8Yx8rG8R13Nmj126DmzISNC/ImB/ct+IFilPdZB8P6etfMfebNnItrdGGA/pIwkyiPhVQ7qsjaViJcs56YsiI97eDODwT5mbDxnKpl0bbAL0A4FAMKcDXidRt4XipuoHiZQUsXwHr2g1WCFnX1nuPgTnzc8P3fxyk2bCV5TiOfd92hZdyCeIOJgpDkfpKmaky89/H57z5BgF9i1QvL+ENqhAInuPUT30K6Ne2MjuvcjXdqdhE/2nRlAWNI19b5yH3w+pKaZuNEqe/CJrZdmSnssreTnC0FoXEmB2nuv1+uZWcbGxsKDiO792NhY3A19++23UboA7VCAtKllMHqhPOG9h+geJrKCjuY96q5XVdmCP9pqswRA2uIjPj1ZNEew5VxwRfv11doXHvl5w99oixyf0+mL9ak5EqoLUGuFCIB0iVyeFxJXtGfp6XEzftWyOxvCaN53dna2zSxOZ8TiKrr3Tqcz7oYCgfD8RnSBXSciZ2C7TgQEZazMDDMklodhjbEiiveoVSertZEOeNpkJMH69eKpDeZJ/+d/Kn7y6Tc+/DddY6i7XhGrF2yN8kgabZEn2nUikC5ptIXHFeVZKsSyNsbdY9eJWHYmtfe9vb3IzHL9+vXwIKJ7f/369bgbGh8fp+4CX4uU7Dn7KifckFgehjXGDmrvfWd1Vcaw31y3yQRAWo9lwoGDP7tPVHHuduDumPez8y2/XZ5darwRTPZTaTtk6vqcBrVIpDbEyvjMQDsUwSeOFB9192Ct42nbrhPl6K095IAiIySOON0dCuzWwXOw2/icwXPD3wh8fY93Qbjnoekedff0uH3Y4OD9FxwqrG8jDInpoUmVwNKBynvUXS+V6sLrDYNaBICowopCCG+f2/HC4z99pfFoZ4dh63rZy3+03Qle7XPqVBK5XC6X52UpyD7aarMEgqw8ygTOCtRaQXrBeYzr04MTEkLoO1shy5PL5fI8WUW7G4VohwJIK/RquVwuSZe2+CgiRN09+JG8sgq1WNbmmToil+So290oRMoE+L6E76w6Zz15NHjv8S6w60QgfaoqQTsUQDD1prXrRCJ1vV4tl+dliSusKPQ5Dbr12EtdotI5feGG0HiIlAmAVEddCNNC5b3HWE5Rb2CUYwM+cftqx1tlr75a9tY7RsfNkLeerVGi0hERhvw+x65jU29Ex2MsDyl/bI3BuCCESJlYbehxo9BjLC83eqBdJ0qXlBs9EKJ4Kg+P0HdWnSPB7ucx5IAcg4d0BNqq0kU6O/QYckQ6O1ZwSkKnLqKaL9En/ljTgV4yX4XoJfNV0csB1N1D7Y7PGczLtGBdYGsMGRePsZw0Lr4WqSArr9zowUvJfne9FBBa66RAZQo3hMZD4uO48ijXf4fsc5rNLVV4MhWElF++FulM/DWNx1gul6/XGfBB87VIiRSEVe4RERLTAUJiapCPBGcLUiZQmaDvbEVowQkhtFc9tvrotD9XXBxd/ViV/ejqx6qib6lE2WJH3fVSkL7eyGzA6LsA7VAQuR/rUbtOlC4JXcfNkCEQcu492qEQZGFe+M6qQxaIITJNF0TpbWuU52WJdXZyq9gMiIzQY8jByzfU3R52BKLudryq6deLFS3OelWkCile5yBlAiDShU4M1N2uFhH9xADaLiBtLuD/i5QJiGWZz2nuwSrS6TcEh2PvPcb1OWqD2Ww2m1tU6UBlgsEVYb9ezMmilmn7hgpZrY20O4P3KkWEttossdpgNpvbdTkCohLCTzJUyPKCJZBIqohI9pCJ96QNWpZ7pJPjX974zHbp/Pnzvc7hMdZfcGDiPUXC951Vi5gne8igC0jjgM8Aj1GdpcDKnPqyvHKjZ2YMweH8+1bBvcjGxkas9LJh/8XKsYQXtYzbx0pLvHEIiXKfKkKiUixvbMTPmTppqkANXUaQoBl0n9OsU2Tl4ZWVmMXITvrd1vaDuyu3lBSvW5n34puGT26z/HoDo3VteMLHShwJm6Gi9Z5iHKbq95Cfp90QCCH/PUMuiDnoPqdOiq+rIbH5RPN7NpyJ0autr+dnv1Rr/PTmrevIrucEP3yp8yt2oTHyPizh+86yKnEghPd0qUcN733ixBr00dYVYMH2vqkDfQ2FhQ19Uc4m43fu/8XjOXv7vsZ//nvd0+CZ+n+wC6068wFlN+0+ZnfpPJBZg/1rCoHB/SvAgnWnhli1Y5I98EQtu9CSC+994nQrH4jm/WjrCjCvtJv9PSe/NKl/sugNhLAejvdsXTj3F23svs4W2Jrx4Cv97+SJNsYMYehwNgDK4wEI4ah5U+a8xbuZTEwyJsWjsuMsr0kqvPeJM1S7dGkN9V/kmVQAZB9mlzshhHDyi6NrBE/UfBL8Hfh/ru4Wz8tvcbG7jaPk0aW1Q0OHVTWx/5VAIuFTJfvRa5ZrozTtBI4r43nKJMJ7zwFDh1WVFynFN6mIRAohhDAw2GvpHaT/o9XJL1pXznmotJvQ/n8+y5vPpK8/zlItQsfuUmVrTHXxhD9Ilez7GujrMkeNOJ6XWhLhveeCvu3Z1OL3bV8AMomPRq+9uymTnE0Dg70WjNDJMOExrJwDFtf+dRJCODn+leuj361ZKmt0BGJfFk7gYmX29j4I4dCRQhrxu0vngcxNmyIr+8BgL/1EHW1VFh5JqXTPe88N0cVvKHw2e9O7FovFYtmtXJxNyp2BwROVhdmFhYWFhc+GXD3hOpg996H5P15T9/HFSxc//ss7FYrlZacGJ2guCyeoPQPxhw5nAwDAgmfDU7ujJpO2gklB7XnvOaJvd2GlmdqsvoZCnNKQXDp0SlVYic+IFaR/NmTCdTB77pLfvFUue1G27ldFa3/5ytsf/Guc9rJwRs2VhcGSZejUOtX+WHkbCzKioAkcV9ItywOD+1Vst3+SD+89R9CaFUZgsNdyQq/C8vYC0uIX0/73n0I4PjY6OvplYILRZRG3D7MxxsSMEeTFSjFNKg+ZXqkD7z1n9DWsq3mXduuDwFFDlPqBwf0rppLqxD8PLJsn3vcpy8tCGb12Qq8KS95Dp1Sl+5ksqkNbi1nlBAZ7W7eXplyyh7z3nNLXULi9laFafbsXK3dbLBaL5URN9rypemXMsjNvw58/Z3sZidFrFmoZh06VqvQnGM9MuionMNgbObtSBd57brlc97L+JIIg/bfozrxxcktBQUFBQcGWurotW07ewA+Pj42OjoV/jY/+Moxb/QiCvLetoO5y9Ku3vYcgyJWhbxg8zI2TES1gfDN0BUFO6l+m/jQV4L3nGkzMqOZNK5fr6Ju+XFdQUJCgsDdObkn4HsmF955nNsJ7zzMb4b3nmY3w3vPMRnjveWYjvPc8sxHee57ZCO89z2zk/wi0YnKzaFNVAAAAAElFTkSuQmCCAA==)
where :
kshadov - is a correction factor for the shadow effect
ca - is the specific heat of steel (J/kgK)
ρa - is the density of steel (kg/m3)
Ai - is the exposed surface area of the part 'i' of the steel cross-section per unit length (m2/m)
Ai/Vi - is the section factor (m-1) of the part 'i' of the steel cross-section
Θa,t - is the steel temperature at time t (°C) supposed to be uniform in each part of the steel cross-section
Δt - is the time interval (sec)
The shadow effect was determined from:
![](data:image/png;base64,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)
With e1, b1, ew, hw, e2, b2, and cross sectional dimensions.
Because of the different section sizes and of the continuity conditions (Figure 4), the verifications were effected for any single element of the structure; the results for the edge bay of a secondary beam over the 16 m span are illustrated in figures 7 and 8.