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EUROCODESBackground and Applications
“Dissemination of information for training” workshop 18-20 February 2008 Brussels
Structural fire design Organised by European Commission: DG Enterprise and Industry, Joint Research Centre with the support of CEN/TC250, CEN Management Centre and Member States
Wednesday, February 20 – Palais des Académies Structural fire design Roi Baudoin room
9:00-9:30 General presentation of Eurocode Fire Parts
J. Kruppa CTICM
9:30-10:15 Eurocode 1 - 1.2 Action in case of fire T. Lennon BRE
10:15-10:30 Coffee
10:30-11:45 Eurocode 2 - 1.2 concrete structures T. Hietanen RT Betonikeskus
11:45-13.00 Eurocode 3 - 1.2 steel structures L. Twilt TNO
13:00-14:30 Lunch
14:30-15:45 Eurocode 4 - 1.2 composite structures J. B. Schleich University of Liege
15:45-16:00 Coffee
16:00-17:00 Eurocode 5 - 1.2 timber structures H. Hartl University Innsbruck J. Fornather Austrian Standards Institute
17:00-17:45 Eurocode 9 - aluminium alloys structures
N. Forsén Multiconsult
17:45-18:00 Discussion and close All workshop material will be available at http://eurocodes.jrc.ec.europa.eu
GENERAL PRESENTATION OF EUROCODE FIRE PARTS
J. Kruppa
CTICM
Brussels, 18-20 February 2008 – Dissemination of information workshop 1
Background and ApplicationsEUROCODES
Structural Fire Designaccording to Eurocodes
Joël KRUPPACTICM
Coordinator CEN TC 250 / Horizontal Group "FIRE"
Brussels, 18-20 February 2008 – Dissemination of information workshop 2
EUROCODESBackground and Applications ESSENTIAL REQUIREMENTS
SAFETY in CASE of FIREconcerning the construction work :
Load bearing capacity of the construction can be assumed for a specific period of timeThe generation and spread of fire and smokewithin the works are limitedThe spread of fire to neighbouring construction works is limitedThe occupants can leave the works or berescued by other meansThe safety of rescue teams is taken intoconsideration
Brussels, 18-20 February 2008 – Dissemination of information workshop 3
EUROCODESBackground and Applications HARMONISATION of ASSESSMENT METHODS
To prove compliance with Essential Requirements :
Tests + extended applications of resultscalculation and/or design methodscombination of tests and calculations
Brussels, 18-20 February 2008 – Dissemination of information workshop 4
EUROCODESBackground and Applications
EUROCODES for STRUCTURAL FIRE DESIGN
Fire parts within :
EC 1 : ACTIONS on STRUCTURES
EC 2 : CONCRETE STRUCTURESEC 3 : STEEL STRUCTURESEC 4 : COMPOSITE STRUCTURESEC 5 : TIMBER STRUCTURESEC 6 : MASONRYEC 9 : ALUMINIUM ALLOYS STRUCTURES
Brussels, 18-20 February 2008 – Dissemination of information workshop 5
EUROCODESBackground and Applications
CEN TC 250 – Sub-Committeesinvolved in Fire Safety
part 1.2actions incase of fire
EC1- part 1.1General actions
SC 1ACTIONS
part 1.2structuralfire design
EC2 - part 1.1general rules
SC2CONCRETE
part 1.2structuralfire design
EC3 - part 1.1general rules
SC 3STEEL
part 1.2structuralfire design
EC4 - part 1.1general rules
SC4COMPOSITE
part 1.2structuralfire design
EC5 - part 1.1general rules
SC5TIMBER
part 1.2structuralfire design
EC6 - part 1.1general rules
SC6MASONRY
part 1.2structuralfire design
EC9 - part 1.1general rules
SC9ALUMINIUM
TC 250Structural Eurocodes
HORIZONTAL GROUP "FIRE"
Brussels, 18-20 February 2008 – Dissemination of information workshop 6
EUROCODESBackground and Applications NDP for Structural Fire Design
Selection thermal actions nominal firesparametric fire (simple fire models)advanced fire models
Some coefficients for load combinationDefault value for reduction factor for the
design load level in fire situationUse of advanced calculation modelsSome material propertiesUse of informative annex on simple
calculation method
Brussels, 18-20 February 2008 – Dissemination of information workshop 7
EUROCODESBackground and Applications EC1 – 1.2 : Actions in case of fire
2.1 General(1) A structural fire design analysis should take
into account the following steps as relevant :selection of the relevant design fire scenarios,determination of the corresponding design fires,calculation of temperature evolution within the structural members,calculation of the mechanical behaviour of the structure exposed to fire.
Brussels, 18-20 February 2008 – Dissemination of information workshop 8
EUROCODESBackground and Applications Various Steps for Assessments
0
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0 20 40 60 80 100 120
tem
pera
ture
(°C
)
Mechanical behaviourat elevated temperatures
Heat Transfer to structural elements
Fire Development and propagation
Structural schematisation
or
or
-450-400-350-300-250-200-150-100-50
00 10 20 30 40 50 60 70 80 90 100
Time (min)
Vert
. Dis
p. ∆
V (m
m)
∆V
Brussels, 18-20 February 2008 – Dissemination of information workshop 9
EUROCODESBackground and Applications EC1 – 1.2 : Actions in case of fire
2.2 Design fire scenario(1) To identify the accidental design situation, the relevant design fire scenarios and the associated design fires should be determined on the basis of a fire risk assessment.(2) For structures where particular risks of fire arise as a consequence of other accidental actions, this risk should be considered when determining the overall safety concept.(3) Time- and load-dependent structural behaviour prior to the accidental situation needsnot be considered, unless (2) applies.
Brussels, 18-20 February 2008 – Dissemination of information workshop 10
EUROCODESBackground and Applications Real scale fires
Brussels, 18-20 February 2008 – Dissemination of information workshop 11
EUROCODESBackground and Applications EC1 – 1.2 : Actions in case of fire
2.3 Design fire(1) For each design fire scenario, a design fire, in a fire compartment, should be estimated according to section 3 of this Part.(2) The design fire should be applied only to one fire compartment of the building at a time, unless otherwise specified in the design fire scenario.(3) For structures, where the national authoritiesspecify structural fire resistance requirements, it may be assumed that the relevant design fire is given by the standard fire, unless specified otherwise .
Brussels, 18-20 February 2008 – Dissemination of information workshop 12
EUROCODESBackground and Applications ISO fire versus "natural" fires
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0 10 20 30 40 50 60Time [min]
Tem
pera
ture
[°C
]
ISO NAT - 1
NAT - 2 NAT - 3
Brussels, 18-20 February 2008 – Dissemination of information workshop 13
EUROCODESBackground and Applications EC1 – 1.2 : Actions in case of fire
2.4 Temperature Analysis(1)P When performing temperature analysis of a member, the position of the design fire in relation to the member shall be taken into account.(2) For external members, fire exposure through openings in facades and roofs should be considered.(3) For separating external walls fire exposure from inside (from the respective fire compartment) and alternatively from outside (from other fire compartments) should be considered when required.
Brussels, 18-20 February 2008 – Dissemination of information workshop 14
EUROCODESBackground and Applications EC1 – 1.2 : Actions in case of fire
2.4 Temperature Analysis (cont'd)
(4) Depending on the design fire chosen in section 3, the following procedures should be used :
with a nominal temperature-time curve, the temperature analysis of the structural members is made for a specified period of time, without any cooling phase;NOTE 1 The specified period of time may be given in the NationalRegulations or obtained from Annex F following the specifications of the National Annex.with a fire model, the temperature analysis of the structural members is made for the full duration of the fire, including the cooling phase.NOTE 2 Limited periods of fire resistance may be set in the National Annex.
Brussels, 18-20 February 2008 – Dissemination of information workshop 15
EUROCODESBackground and Applications EC1 – 1.2 : Actions in case of fire
2.5 Mechanical Analysis
(1)P The mechanical analysis shall be performed for the same duration as used in the temperature analysis.
(2) Verification of fire resistance should be in the time domain:tfi,d ≥ tfi,requ
or in the strength domain:Rfi,d,t ≥ Efi,d,t
or in the temperature domain:Θd ≤ Θcr,d
wheretfi,d design value of the fire resistancetfi,requ required fire resistance timeRfi,d,t design value of the resistance of the member in the fire situation at time tEfi,d,t design value of the relevant effects of actions in the fire situation at time tΘd design value of material temperatureΘcr,d design value of the critical material temperature
Brussels, 18-20 February 2008 – Dissemination of information workshop 16
Background and ApplicationsEUROCODES
EUROCODES 2 to 6 and 9
parts 1. 2
Brussels, 18-20 February 2008 – Dissemination of information workshop 17
EUROCODESBackground and Applications PARTS on STRUCTURAL FIRE DESIGN
The parts dealing with structural fire resistance in EC2 to EC6 & EC9 have the following layout:
General (scope, definitions, symbols and units)Basic principles (performances requirements, design values
of material properties and assessment methods)Material properties (strength and deformation and thermal
properties)Assessment methodsConstructional details (if any)Annexes (additional information)
Brussels, 18-20 February 2008 – Dissemination of information workshop 18
EUROCODESBackground and Applications Requirements
2.1.1 General
(1)P Where mechanical resistance in the case of fire is required, concrete structures shall be designed and constructed in such a way that they maintain their load bearing function during the relevant fire exposure.(2)P Where compartmentation is required, the elements forming the boundaries of the fire compartment, including joints, shall be designed and constructed in such a way that they maintain their separating function during the relevant fire exposure. This shall ensure, where relevant, that:
integrity failure does not occur, see EN 1991-1-2insulation failure does not occur, see EN 1991-1-2thermal radiation from the unexposed side is limited.
Exemple from EC2-1.2
Brussels, 18-20 February 2008 – Dissemination of information workshop 19
EUROCODESBackground and Applications Requirements
2.1.1 General (cont'd)
(3)P Deformation criteria shall be applied where the means of protection, or the design criteria for separating elements, require consideration of the deformation of the load bearing structure.(4) Consideration of the deformation of the load bearing structure is not necessary in the following cases, as relevant:
the efficiency of the means of protection has been evaluated according to […], the separating elements have to fulfil requirements according to nominal fire exposure.
Exemple from EC2-1.2
Brussels, 18-20 February 2008 – Dissemination of information workshop 20
EUROCODESBackground and Applications Requirements
2.1.3 Parametric fire exposure
(2) For the verification of the separating function the following applies, assuming that the normal temperature is 20°C:
the average temperature rise of the unexposed side of the construction should be limited to 140 K and the maximum temperature rise of the unexposed side should not exceed 180 K during the heating phase until the maximum gas temperature in the fire compartment is reached;the average temperature rise of the unexposed side of the construction should be limited to ∆θ1 and the maximum temperature rise of the unexposed side should not exceed ∆θ2 during the decay phase.
Note: The values of ∆θ1 and ∆θ2 for use in a Country may be found in its National Annex. The recommended values are ∆θ1 = 200 K and ∆θ2 = 240 K.
Exemple from EC2-1.2
Brussels, 18-20 February 2008 – Dissemination of information workshop 21
EUROCODESBackground and Applications Background for ∆θ1 = 200 K
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0 30 60 90 120 150 180 210 240Time [min]
Tem
pera
ture
[°C
]
Seperating element for I 30 :+210 K at 49 min.
Separating element for I 120:+187 K at 181 min
Standard fire
Unexposed side of the separating element
+ 140 K
Experimentations carried out in the 80s ("Investigating the unexposed surface temperature criteria of standard ASTM E 119", by K. J. Schwartz and T.T. Lie, Fire technology, vol 21, N0 3, August 1985): - concluded the self-ignition temperatures of ordinary combustibles, in contact with unexposed surface of separating element are in excess of 520 °F (271°C),- suggested to use 400°F (222 K) for average temperature rise and 450°F (250 K) for maximum temperature rise at any point
1
2
Brussels, 18-20 February 2008 – Dissemination of information workshop 22
EUROCODESBackground and Applications Material Properties
2.3 Design values of material properties
(1)P Design values of mechanical (strength and deformation) material properties Xd,fi are defined as follows:
Xd,fi = kθ Xk / γM,fi
Xk characteristic value of a strength or deformation propertykθ reduction factor for a strength or deformation property dependent on temperatureγM,fi partial safety factor for the relevant material property, for the fire situation
(2)P Design values of thermal material properties Xd,fi are defined as follows:
Xd,fi = Xk,θ /γM,fi or Xd,fi = γM,fi Xk,θ
Xk,θ value of a material property in fire designγM,fi partial safety factor for the relevant material property, for the fire situation.
Note 1: The value of γM,fi for use in a Country may be found in its National Annex. The recommended value is: γM,fi = 1,0
Note 2: If the recommended values are modified, the tabulated data may require modification
Exemple from EC2-1.2
Brussels, 18-20 February 2008 – Dissemination of information workshop 23
EUROCODESBackground and Applications
Verification method :BASIC PRINCIPLE
Load-bearing function of a structure shall be assumed for the relevant duration of fire exposure t if :
Ed,t, fi ≤ Rd,t, fiwhere :
Ed,t, fi : design effect of actions (Eurocode 1 part 1.2)
Rd,t, fi : design resistance of the structure attime t
Brussels, 18-20 February 2008 – Dissemination of information workshop 24
EUROCODESBackground and Applications
Various possibilities for analysis of a structure
member analysis (mainly when verifying
standard fire resistance requirements)
analysis of parts of the structure
global structural analysis
Schematisation of the structure
Brussels, 18-20 February 2008 – Dissemination of information workshop 25
EUROCODESBackground and Applications Member Analysis
(1) The effect of actions should be determined for time t = 0 using combination factors ψ 1,1 or ψ1,2 according to EN 1991-1-2 Section 4.
(2) As a simplification to (1) the effects of actions may be obtained from a structural analysis for normal temperature design as:
Ed,fi = ηfi Ed
Where
Ed is the design value of the corresponding force or moment for normal temperature design, for a fundamental combination of actions (see EN 1990);
ηfi is the reduction factor for the design load level for the fire situation.
Brussels, 18-20 February 2008 – Dissemination of information workshop 26
EUROCODESBackground and Applications ηfi
assumptions: γGA = 1,0, γG = 1,35 and γQ = 1,5.
Note 2: As a simplification a recommended value of ηfi = 0,7 may be used.
Exemple from EC2-1.2
Brussels, 18-20 February 2008 – Dissemination of information workshop 27
EUROCODESBackground and Applications Member Analysis (cont'd)
(4)Only the effects of thermal deformationsresulting from thermal gradients across the cross-section need be considered. The effects of axial or in-plane thermal expansions may be neglected.
(5) The boundary conditions at supports and ends of member, applicable at time t = 0, are assumed to remain unchangedthroughout the fire exposure.
Exemple from EC2-1.2
Brussels, 18-20 February 2008 – Dissemination of information workshop 28
EUROCODESBackground and Applications Global structural analysis
(1)P When global structural analysis for the fire situation is carried out, the relevant failure mode in fire exposure, the temperature-dependent material propertiesand member stiffnesses, effects of thermal expansions and deformations (indirect fire actions) shall be taken into account.
Brussels, 18-20 February 2008 – Dissemination of information workshop 29
EUROCODESBackground and Applications Assessment methods
covering both thermal model and mechanical model
HD
∆ θ a , t = p p
p a a
g , t a , tλρ
θ θφ
A / V
d c
( - )( 1 + / 3 )
t∆ - ( e φ / 1 0 - 1 ) ∆ θ g , t
tabulated data
simple calculation models
advanced calculation models
standard fire
resistance
dimensi
on
Minimum dimensions [mm]
[min] axis distanc
e
Possible combinations of a (average axis distance) and bmin (width of
beam)
Web thickness
R 30 bmin 80 120 160 200 80 a 25 15 10 10
R 60 bmin 120 160 200 300 100 a 40 35 30 25
R 90 bmin 150 200 250 400 100 a 55 45 40 35
R 120 bmin 200 240 300 500 120 a 65 55 50 45
R 180 bmin 240 300 400 600 140 a 80 70 65 60
R 240 bmin 280 250 500 500 160 a 90 80 75 70
Brussels, 18-20 February 2008 – Dissemination of information workshop 30
EUROCODESBackground and Applications Data on fire protection systems
Membrane protection
TS 13381-1 : horizontal membranesENV 13381 -2 : vertical membranes
Fire protection to :
ENV 13381 -3 : concrete membersENV 13381 -4 (& -8 ?) : steel membersENV 13381 -5 : concrete/profiled steel sheetENV 13381 -6 : concrete filled hollow steel columnsENV 13381 -7 : timber members
Brussels, 18-20 February 2008 – Dissemination of information workshop 31
EUROCODESBackground and Applications Possible Design Procedures
Project Design
Performance-Based Code(Physically BasedThermal Actions)
Prescriptive Regulation(Thermal Actions given
by a Nominal Fire)
0
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0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150Time [min]
Gas
tem
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ture
[°C
] 625
356
310
189
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Standard time-temperaturecurveHydrocarbon fire
External fire
Brussels, 18-20 February 2008 – Dissemination of information workshop 32
EUROCODESBackground and Applications Possible Design Procedures (cont’d)
Prescriptive Regulation(Thermal Actions given
by a Nominal Fire)
Member analysisAnalysis of part of the structure
Analysis of the entire structure
Tabulated data Simple calculationmodels
Mechanicalactions at boundaries
Selection of mechanical actions
Mechanicalactions at boundaries
Advanced calculationmodels
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1200
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Tem
pera
ture
[°C
]
Standard time-temperaturecurveHydrocarbon fire
External fire
Brussels, 18-20 February 2008 – Dissemination of information workshop 33
EUROCODESBackground and Applications Possible Design Procedures (cont’d)
Performance-Based Code
Simple calculationmodels
Advanced calculationmodels
Member analysisAnalysis of part of the structure
Analysis of the entire structure
Mechanicalactions at boundaries
Selection of mechanical actions
Mechanicalactions at boundaries
Fire development Model 0
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300
400
500
600
700
800
900
1000
0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150Time [min]
Gas
tem
pera
ture
[°C
] 625
356
310
189
0
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200
300
400
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600
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800
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1000
0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150Time [min]
Gas
tem
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ture
[°C
] 625
356
310
189
Brussels, 18-20 February 2008 – Dissemination of information workshop 34
EUROCODESBackground and Applications ISO Concept vs FSE* Approach
ultimate and "deformation" limit states
mainly ultimate load bearing capacity
mechanical model
thermal gradient in 2 , 3 directions
uniform temperature over the whole surface
heat transfertmodel
part of structure with interaction between elements
isolated elements
structural model
all design fires 300°C @120min 1300°C @ 20min …And cooling phase
ISO-fire1100°C @ 120min
fire model
FSE* ApproachISO – concept(current approach)
Model
* : Fire Safety Engineering
Brussels, 18-20 February 2008 – Dissemination of information workshop 35
EUROCODESBackground and Applications
EUROCODE 1 - 1.2 ACTION IN CASE OF FIRE
T. Lennon BRE
1
Brussels, 18-20 February 2008 – Dissemination of information workshop 1
Background and ApplicationsEUROCODES
Eurocode 1: Actions on structures – Part 1-2: General actions – Actions on structures
exposed to fire
Tom LennonPrincipal Consultant, BRE, UK
Brussels, 18-20 February 2008 – Dissemination of information workshop 2
EUROCODESBackground and Applications Scope of presentation
Introduction to structural fire engineering design
Section 3 Thermal actions for temperature analysis3.2 Nominal temperature-time curves3.3 Natural fire models
Section 4 Mechanical actions for structural analysis4.2 Simultaneity of actions4.3 Combination rules for actions
Annex A Parametric time-temperature curvesAnnex B Thermal actions for external membersAnnex C Localised firesAnnex D Advanced fire modelsAnnex E Fire load densitiesAnnex F Equivalent time of fire exposureAnnex G Configuration factor
Worked example – Equivalent time of fire exposure
Brussels, 18-20 February 2008 – Dissemination of information workshop 3
EUROCODESBackground and Applications Introduction to structural fire engineering design
Why structural fire engineering?
What is structural fire engineering design?
How do we do it?
Brussels, 18-20 February 2008 – Dissemination of information workshop 4
EUROCODESBackground and Applications Structural fire engineering design – Do we need it?
Existing body of data
Tried and tested solutions
Accepted levels of safety and reliability
Tabulated data generally conservative
Brussels, 18-20 February 2008 – Dissemination of information workshop 5
EUROCODESBackground and Applications
Structural fire engineering design – Do we need it? –YES!
Levels of safety unknownDegree of conservatism unknownNo account of interaction between structural
elementsNo account of alternative load carrying
mechanismsNo account of alternative modes of failure
Brussels, 18-20 February 2008 – Dissemination of information workshop 6
EUROCODESBackground and Applications Structural fire engineering design – Do we need it? – YES!
Complex structures not covered by existing regulatory requirement – “fire engineering may be the only suitable approach”
Provides for a more rational approach to the design of buildings for fire if undertaken as part of an overall fire safety strategy
Change of use or renovation of existing structure – possible increased fire resistance requirement, removal of existing means of ensuring fire resistance
Uncertainties in existing prescriptive approach
2
Brussels, 18-20 February 2008 – Dissemination of information workshop 7
EUROCODESBackground and Applications
Structural fire engineering design – what is it?
Time
FLASHOVER Natural fire curve
Tem
pera
ture
Ignition - Smouldering Heating Cooling
Standard fire curve
Life safety Structural damage – risk of collapse – structural fire engineering only concerned with this phase of the fire
Brussels, 18-20 February 2008 – Dissemination of information workshop 8
EUROCODESBackground and Applications
Performance-Based Code (Physically based Thermal Actions)
Selection of Simple or Advanced Fire Development Models
Prescriptive Rules (Thermal Actions by Nominal Fire
Calculation of Mechanical Actions at Boundaries
Member Analysis
Project Design
Analysis of Part of the Structure
Analysis of Entire
Structure
Calculation of Mechanical Actions at Boundaries
Selection of Mechanical
Actions
Advanced Calculation
Models
Simple Calculation
Models If available
Calculation of Mechanical Actions at Boundaries
Member Analysis
Analysis of Part of the Structure
Analysis of Entire
Structure
Calculation of Mechanical Actions at Boundaries
Selection of Mechanical
Actions
Advanced Calculation
Models
Simple Calculation
Models If available
Tabulated Data
General - Design Procedures
Brussels, 18-20 February 2008 – Dissemination of information workshop 9
EUROCODESBackground and Applications Structural fire design procedure
Structural fire design procedure takes into account:
Selection of relevant design fire scenariosDetermination of corresponding design firesCalculation of temperature within the
structural membersCalculation of mechanical behaviour of the
structure exposed to fireEN1991-1-2 is principally concerned with the
first two above. Fire parts of the material codes cover the remaining two.
Brussels, 18-20 February 2008 – Dissemination of information workshop 10
EUROCODESBackground and Applications Consider relevant design fire scenario
Building fire / tunnel fire / petrochemical fireLocalised fire / fully developed fireIdentification of suitable compartment
size/occupancy/ventilation condition for subsequent analysis – representative of “reasonable worst case scenario”
The choice of the design fire scenario will dictate the choice of the design fire to be used in subsequent analysis.
The choice of a particular fire design scenario should be based on a risk assessment taking into account the likely ignition sources and any fire detection/suppression systems available.
Brussels, 18-20 February 2008 – Dissemination of information workshop 11
EUROCODESBackground and Applications Choose appropriate design fire
For fully developed post-flashover building (compartment) fires the usual choice is between nominal and natural fire exposures
Nominal fires are representative fires for the purposes of classification and comparison but bear no relationship to the specific characteristics (fire load, thermal properties of compartment linings, ventilation condition) of the building considered
Natural fires are calculation techniques based on a consideration of the physical parameters specific to a particular building.
Brussels, 18-20 February 2008 – Dissemination of information workshop 12
EUROCODESBackground and Applications Modelling compartment fires
In compartment fires it is often assumed that the whole compartment is fully involved in the fire at the same time and the same temperature applies throughout. Such a scenario is the basis of a one zone model.
Two zone models exist in which the height of the compartment is separated into two gaseous layers each with their own thermal environment
Three zone models exist in which there is a mixed gas layer separating the upper and lower gas levels
Computational Fluid Dynamics (CFD) may be used to analyse fires in which there are no definite boundaries to the gaseous state. This type of analysis would be suitable for very large compartments such as airport terminals, atria and sports stadia. It is often used to model smoke movement.
3
Brussels, 18-20 February 2008 – Dissemination of information workshop 13
EUROCODESBackground and Applications Post-Flashover Fire Models
In a compartment flashover occurs when sustained flaming from combustibles reach the ceiling and the temperature of the hot gas layer is between 550°C and 600°C.
After flashover the rate of heat release will increase rapidly until it reaches a maximum value for the enclosure. To simplify design, the growth period between the onset of flashover and the maximum heat release rate is usually ignored and it may be assumed that when flashover occurs the rate of heat release instantaneously increases to the maximum value set by the available air.
Brussels, 18-20 February 2008 – Dissemination of information workshop 14
EUROCODESBackground and Applications Section 3 Thermal actions for temperature analysis
Thermal actions are given by the net heat flux:
rnetcnetnet hhh ,,&&& +=
Convective heat flux
Radiative heat flux
Brussels, 18-20 February 2008 – Dissemination of information workshop 15
EUROCODESBackground and Applications 2.2 Nominal temperature-time curves
Standard temperature-time curve
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1200
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945ºC
θg = 20+log10345(8t+1)
Brussels, 18-20 February 2008 – Dissemination of information workshop 16
EUROCODESBackground and Applications Nominal fire curves
Other nominal curves include:Smouldering fire curve
“Semi-Natural” fire curve
External fire exposure curve*
Hydrocarbon curve*
Modified hydrocarbon curve
Tunnel lining curves – RWS/RABT
* Included in the Eurocode
Brussels, 18-20 February 2008 – Dissemination of information workshop 17
EUROCODESBackground and Applications External fire temperature-time curve
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Θg = 660(1 – 0.687e-0.32t – 0.313e-3.8t) + 20
Temperature constant after 22 mins at 660ºC
Brussels, 18-20 February 2008 – Dissemination of information workshop 18
EUROCODESBackground and Applications
Hydrocarbon temperature-time curve
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1200
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4
Brussels, 18-20 February 2008 – Dissemination of information workshop 19
EUROCODESBackground and Applications 2.3 Natural fire models
Natural fire models are based on specific physical parameters with a limited field of application
For compartment fires a uniform temperature distribution as a function of time is generally assumed
For localised fires a non-uniform temperature distribution as a function of time is assumed
Brussels, 18-20 February 2008 – Dissemination of information workshop 20
EUROCODESBackground and Applications Natural fire models
Simplified fire models – compartment fires
Any appropriate fire model may be used considering at least the fire load density and the ventilation conditions
The parametric approach in Annex A of the code is one example of a simplified natural fire model
Brussels, 18-20 February 2008 – Dissemination of information workshop 21
EUROCODESBackground and Applications Natural fire models
Simplified fire models – external members
For external members the radiative heat flux should be calculated from the sum of the radiation from the compartment and from the flames emerging from the opening
An example of a simplified calculation method for external members is given in Annex B of the Code
Brussels, 18-20 February 2008 – Dissemination of information workshop 22
EUROCODESBackground and Applications Natural fire models
Simplified fire models – localised fires
In many cases flashover is unlikely to occur. In such cases a localised fire should be considered.
Annex C presents an example of a procedure for calculating temperatures in the event of a localised fire
Brussels, 18-20 February 2008 – Dissemination of information workshop 23
EUROCODESBackground and Applications Section 4 Mechanical actions for structural analysis
If they are likely to occur during a fire the same actions assumed for normal design should be considered.
Indirect actions can occur due to constrained expansion and deformation caused by temperature changes within the structure caused by the fire.
Brussels, 18-20 February 2008 – Dissemination of information workshop 24
EUROCODESBackground and Applications Section 4 Mechanical actions for structural analysis
INDIRECT thermal actions should be considered. EXCEPT where the resulting actions are:
recognized a priori to be negligible or favourable.
accounted for by conservatively chosen models and boundary conditions or implicitly considered by conservatively specified fire safety requirements.
5
Brussels, 18-20 February 2008 – Dissemination of information workshop 25
EUROCODESBackground and Applications Section 4 Mechanical actions for structural analysis
The indirect actions should be determined using the thermal and mechanical properties given in the fire parts of EN1992 to EN1996 and EN1999.
For member design subjected to the standard fire only indirect actions arising from the thermal distribution through the cross-section needs to be considered.
Brussels, 18-20 February 2008 – Dissemination of information workshop 26
EUROCODESBackground and Applications Section 4 Mechanical actions for structural analysis
Actions considered for ‘normal’ design should also be considered for fire design if they are likely to act at the time of a possible fire.
Variable actions should be defined for the accidental design situation, with associated partial load factors, as given in EN1990.
Brussels, 18-20 February 2008 – Dissemination of information workshop 27
EUROCODESBackground and Applications Section 4 Mechanical actions for structural analysis
Simultaneous action with other independent accidental actions does not need to be considered
Additional actions (i.e partial collapse) may need to be considered during the fire exposure
Fire walls may be required to resist horizontal impact loading according to EN1363-2
Brussels, 18-20 February 2008 – Dissemination of information workshop 28
EUROCODESBackground and Applications Section 4 Mechanical actions for structural analysis
When indirect actions do not need to be considered, and there is no prestressing force, the total design action (load) considering permanent and the leading variable action is given by;
( )∑≥
+1
11211j
,k,,j,k Qor""G ψψ
The use of ψ1,1 or ψ2,1 is defined in the National Annex
Brussels, 18-20 February 2008 – Dissemination of information workshop 29
EUROCODESBackground and Applications
The values of ψ1,1 and ψ2,1 are given in Annex A of EN1990:2002
Brussels, 18-20 February 2008 – Dissemination of information workshop 30
EUROCODESBackground and Applications Mechanical actions for structural analysis
As a simplification, the effect of actions in the fire conditioncan be determined from those used in normal temperature design
dfid,fit,d,fi EEE η==
d
t,d,fifi R
E=ηWhere
6
Brussels, 18-20 February 2008 – Dissemination of information workshop 31
EUROCODESBackground and Applications Annex A Parametric Temperature-Time Curves
EN 1991-1-2 Annex A- Parametric Equation
θg = 1325(1-0.324e-0.2t*-0.204e-1.7t*-0.472e-19t*)where t* = t.Γ
and Γ = (O/b)²/(0.04/1160)²O is the opening factor
and b relates to the thermal inertia √(ρcλ)Where ρ = density (kg/m³)c = specific heat (J/kgK)
Λ = thermal conductivity (W/mK)
Brussels, 18-20 February 2008 – Dissemination of information workshop 32
EUROCODESBackground and Applications Parametric equation (contd)
O = opening factor Av√h/At (m½)
Av = area of vertical openings (m²)
h = height of vertical openings (m)
At = total area of enclosure – walls, ceiling and floor including openings (m²)
Brussels, 18-20 February 2008 – Dissemination of information workshop 33
EUROCODESBackground and Applications Parametric Equation
Scope of Equation
- 0.02 ≤ O ≤ 0.2 (m½) (lower limit of 0.01 in UK NA)- 100 ≤ b ≤ 2000 (J/m² s½ °K)- Af ≤ 500m² (No restriction in UK NA)
- mainly cellulosic fire loads- maximum compartment height = 4m (No restriction in UK NA)- concept of limiting duration (20 minutes for offices)
Brussels, 18-20 February 2008 – Dissemination of information workshop 34
EUROCODESBackground and Applications EC1 Parametric exposure
Cooling phaseΘg = θmax – 625(t*-t*max.x) for t*max ≤ 0.5Θg = θmax – 250(3-t*max)(t*-t*max.x) for t*max < 2Θg = θmax – 250(t*-t*max.x) for t*max ≥ 2
Where t*max = (0.2x10-3. qt,d/O).ΓAnd tmax = maximum of (0.2x10-3. qt,d/O) and tlimWith tlim = 25 minutes for slow fire growth rate,
20 minutes for medium fire growth rate and 15 minutes for fast fire growth rate
Brussels, 18-20 February 2008 – Dissemination of information workshop 35
EUROCODESBackground and Applications
comparison between EC1 parametric calculation and measured values
0
200
400
600
800
1000
1200
0 10 20 30 40 50 60 70
time (mins)
tem
pera
ture
(deg
C)
test 1 prediction test 2
Brussels, 18-20 February 2008 – Dissemination of information workshop 36
EUROCODESBackground and Applications
Time temperature curves
0
200
400
600
800
1000
1200
0 15 30 45 60 75 90 105 120 135 150 165 180
Time [mins]
Tem
pera
ture
[deg
C] Average temperature TEST 1
Average temperature TEST 2Parametric time temperatureISO curve
7
Brussels, 18-20 February 2008 – Dissemination of information workshop 37
EUROCODESBackground and Applications
Annex B Thermal actions for external members – Simplified calculation method
Allows for the determination of:
Maximum temperatures of a compartment fire
The size and temperatures of the flames emerging from the openings
Radiation and convection parameters
Takes into account effect of wind through inclusion of forced draught and no forced draught calculations
Brussels, 18-20 February 2008 – Dissemination of information workshop 38
EUROCODESBackground and Applications Annex C Localised fires
Where a fully developed fire is not possible the thermal input from a localised fire source to the structural member should be considered.
Annex C provides one possible method – The UK NA specifies an alternative methodology based on existing National information
Brussels, 18-20 February 2008 – Dissemination of information workshop 39
EUROCODESBackground and Applications Annex D Advanced Fire Models
Annex D sets out general principles associated with advanced fire models (One zone, two zone or CFD)
There is no detailed guidance and such methods should only be used by experts
Brussels, 18-20 February 2008 – Dissemination of information workshop 40
EUROCODESBackground and Applications Annex E Fire load densities
Annex E presents a method for calculating design fire load densities based on characteristic values from survey data for different occupancies
The characteristic values are modified according to the risk of fire initiation and the consequence of failure related to occupancy and compartment floor area
Active fire safety measures are taken into account through a reduction in the design fire load density
This approach is not accepted in the UK NA
Brussels, 18-20 February 2008 – Dissemination of information workshop 41
EUROCODESBackground and Applications Annex F Equivalent time of fire exposure
Provides a quick and easy method of relating a real fire exposure to an equivalent period in a standard fire resistance furnace
Mainly based on work on protected steel specimens
Recent analysis extended the use of the concept to unprotected steel for low fire resistance periods
Brussels, 18-20 February 2008 – Dissemination of information workshop 42
EUROCODESBackground and Applications
0
200
400
600
800
1000
1200
0 15 30 45 60 75 90
Time [mins]
Tem
pera
ture
[o C
]
Max. Steel Temp
Te
Atmosphere(fire)
Atmosphere(furnace)
Steel(fire)
Steel(Furnace)
8
Brussels, 18-20 February 2008 – Dissemination of information workshop 43
EUROCODESBackground and Applications Time equivalent – calculation methods
CIB W14: te = qf c wLaw: te = kL/√(AvAt)Pettersson: te = 0.067qf(Av√h/At)-½
EC1: te,d = qf,d kb wf
Where qf,d = design fire load densitykb = factor to take into account the
thermal properties of the enclosurewf = ventilation factor to take into
account vertical and horizontal openings
Brussels, 18-20 February 2008 – Dissemination of information workshop 44
EUROCODESBackground and Applications
Time equivalent – what is it? How does it work? How do you do it?
Worked example – fire compartment within an office buildingGeometric data
0Area of horizontal opening (roof light) Ah
3.6Height of compartment H (m)
2Height of ventilation opening h (m)
7.2 (3.6m wide by 2m high)
Ventilation area Av (m²)
36 (6m x 6m)Floor area (m²)
Brussels, 18-20 February 2008 – Dissemination of information workshop 45
EUROCODESBackground and Applications
Time equivalent – thermal properties
76.8520PlasterboardWalls
36520PlasterboardFloor
362280ConcreteRoof
Area (m²)Thermal inertia (b value –J/m²s½K)
MaterialElement
Brussels, 18-20 February 2008 – Dissemination of information workshop 46
EUROCODESBackground and Applications Time equivalent worked example
te,d = (qf,d.kb.wf)kc
Where qf,d = design fire load density (MJ/m²)
kb is a factor dependent on thermal properties of the lining materialsAnd wf is a ventilation factor given by:
wf = (6/H)0.3 [0.62 + 90(0.4-αv)4] in the absence of vertical openingsWhere H is the height of the compartment (m) and αv = Av/Af
kc = factor dependent on material = 1.0 for protected steel
Brussels, 18-20 February 2008 – Dissemination of information workshop 47
EUROCODESBackground and Applications
Time equivalent worked example
0.07 (0.09)b<720
0.055 (0.07)720≤b≤2500
0.04 (0.055)b > 2500
kb (min.m²/MJ)b = (ρcλ)½
(J/m²s½K)
Brussels, 18-20 February 2008 – Dissemination of information workshop 48
EUROCODESBackground and Applications
Time equivalent worked example
347 (360)School classroom
511 (570)Office
377 (400)Hotel
280 (350)Hospital
948 (400)Dwelling
Characteristic fire load density (MJ/m²) 80% fractile
Occupancy
9
Brussels, 18-20 February 2008 – Dissemination of information workshop 49
EUROCODESBackground and Applications
Time equivalent worked example
qf,d = 570 MJ/m²
wf = 0.863 (αv = 0.2)
kb = 0.07 (b = 945 (Σ(bjAj/Aj))
kc = 1.0 (protected steel beam)
te,d = 570 x 0.863 x 0.07 = 34 minutes therefore 60 minutes fire protection would be appropriate
Brussels, 18-20 February 2008 – Dissemination of information workshop 50
EUROCODESBackground and Applications Time equivalent – important questions to ask
Have sensitivity studies been carried out on % glazing removed during the fire. Breaking of glass during a fire is very difficult to predict. In reality the ventilation area will vary with time during the fire process.
What value has been used for the fire load density
What confidence is there in the final configuration of the compartment linings? In the absence of definite data then a figure of kb = 0.09 should be used (UK National Annex)
Brussels, 18-20 February 2008 – Dissemination of information workshop 51
EUROCODESBackground and Applications Annex G Configuration Factor
Text book information on general principles for radiative heat transfer
Specific guidance for external members
Brussels, 18-20 February 2008 – Dissemination of information workshop 52
EUROCODESBackground and Applications
Thank you for your attention!
EUROCODE 2 - 1.2 CONCRETE STRUCTURES
T. Hietanen RT Betonikeskus
1
Brussels, 18-20 February 2008 – Dissemination of information workshop 1
EUROCODESBackground and Applications
EN 1992-1-2Fire design of concrete structures
Tauno HietanenFinnish Concrete Industry Association
convenor of Project Teams- ENV 1992-1-2- EN 1992-1-2
Brussels, 18-20 February 2008 – Dissemination of information workshop 2
EUROCODESBackground and Applications
EN 1992-1-2Fire design of concrete structures
• Sections 1 and 2 General, Basis of design • Section 3 Material properties• Section 4 Design procedures
– Simplified calculation method 4.2, Annex A, B and E– Shear, torsion and anchorage 4.4 and Annex D– Spalling 4.5
• Section 5 Tabulated data– Annex C
• Section 6 High strength concrete
Brussels, 18-20 February 2008 – Dissemination of information workshop 3
EUROCODESBackground and Applications Project Team
Dr. Yngve Anderberg Fire Safety Design AB Sweden- fire design consultant
Dr.Ing. Nils Erik Forsén Multiconsult AS Norway - structural design consultant
Mr. Tauno Hietanen Concrete Industry Association Finland- concrete industry and standardization Convenor
Mr. José Maria Izquierdo INTEMAC Spain- research institute, especially fire damages
Mr. Alain Le Duff CSTB France- fire research institute
Dr.-Ing. Ekkehard Richter TU Braunschweig Germany - fire research institute
Mr. Robin T. Whittle Ove Arup & Partners United Kingdom- structural design consultant, Technical secretary
and National Technical Contacts
Brussels, 18-20 February 2008 – Dissemination of information workshop 4
EUROCODESBackground and Applications Technical background
• CEB Bulletins ”Fire design of concrete structure”, latest No 208 July 1991
• EC 2:Part 10, 1990, prepared for the Commission by experts J.C, Dotreppe (B), L. Krampf (D), J. Mathez(F)– including material properties harmonized between
EC 2, 3 and 4• ENV 1992-1-2 November 1995
– and national comments on ENV• Project Team started the revision 1999 and prEN
was approved for Formal Vote 2002
Brussels, 18-20 February 2008 – Dissemination of information workshop 5
EUROCODESBackground and Applications Scope of EN 1992-1-2
(5)P This Part 1-2 of EN 1992 applies to structures, or parts of structures, that are within the scope of EN 1992-1-1 and are designed accordingly. However, it does not cover:- structures with prestressing by external tendons- shell structures
(6)P The methods given in this Part 1-2 of EN 1992 are applicable to normal weight concrete up to strength class C90/105 and for lightweight concrete up to strength class LC55/60.Additional and alternative rules for strength classes above C50/60 are given in section 6.
Brussels, 18-20 February 2008 – Dissemination of information workshop 6
EUROCODESBackground and ApplicationsSummary of alternative verification methods given in EN 1992-1-2
NONOGlobal structural analysis
•Only the principles are given
•Temperature profiles given for Standard fire only
NOAnalysis of part of the structure
YES
YES•Standard fire and parametric fire
YES•Data given for Standard fire only
Member analysis
Advanced calculation methods
Simplified calculation methods
Tabulated data
2
Brussels, 18-20 February 2008 – Dissemination of information workshop 7
EUROCODESBackground and Applications Resistance to Fire CE-marking
National fire regulations:
- Required class - or fire resistance time
Parametric fire: - Fire resistance
time
Nominal fire:
- European REI (M) classification
Fire parts of Eurocodes:- Tabulated data- Simplified calculation- Advanced calculation
EN 13501-2 Classification standard
EN 1363, EN 1365
Fire tests
CE marking
REI (M)
Brussels, 18-20 February 2008 – Dissemination of information workshop 8
EUROCODESBackground and Applications
EN 1992-1-2Fire design of concrete structures
• Sections 1 and 2 General, Basis of design• Section 3 Material properties• Section 4 Design procedures
– Simplified calculation method 4.2, Annex A, B and E– Shear, torsion and anchorage 4.4 and Annex D– Spalling 4.5
• Section 5 Tabulated data– Annex C
• Section 6 High strength concrete
Brussels, 18-20 February 2008 – Dissemination of information workshop 9
EUROCODESBackground and Applications Section 3 Material properties
• Strength and deformation properties in Section 3 are given for simplified and advanced calculation methods
• Strength reduction curves for Tabulated data (in Section 5) and Simplified calculation methods (in Section 4) are derived from material properties in section 3
• Thermal properties are given in Section 3 for calculation of temperature distribution inside the structure
• Material properties for lightweight concrete are not given due to wide range of lightweight aggregates
– this does not exclude use of lightweight aggregate concrete, see e.g. Scope and Tabulated data
• Strength and deformation properties are applicable to heating rates similar to standard fire curve (between 2 and 50 K/min)
• Residual strength properties are not given
Brussels, 18-20 February 2008 – Dissemination of information workshop 10
EUROCODESBackground and Applications Concrete compressive strength
0
0,1
0,2
0,3
0,4
0,5
0,6
0,7
0,8
0,9
1
0 0,005 0,01 0,015 0,02 0,025
strain εc [-]
ratio
of s
treng
thfc,
Θ/fc
k [-]
100 °C
300 °C
500 °C
700 °C
20 °C
Brussels, 18-20 February 2008 – Dissemination of information workshop 11
EUROCODESBackground and Applications Concrete: Stress-strain relationship
Mathematical model and parameters fc,θ, εc1,θ and εcu1,θαCC = 1,0 in fire design
σ
εc1,θ εcu1,θε
fc,θfc,θ
εc1,θ εcu1,θ
3
θ,1cθ,1c
θ,c
2
3
ε+ε
f
ε
ε
Brussels, 18-20 February 2008 – Dissemination of information workshop 12
EUROCODESBackground and Applications Strength reduction of concrete
• The same strength reduction values are given for simplified calculation methods in Section 41. Siliceous concrete2. Calcareous concrete
0 ,8
1
0
1 0 ,6
0 ,2
0 ,4
1 0002 00 800400 120 00 600
k c(θ )
θ [°C ]
2
3
Brussels, 18-20 February 2008 – Dissemination of information workshop 13
EUROCODESBackground and Applications
Reinforcing and prestressing steel:Stress-strain relationship
• Mathematical model and parameters fsp,θ, fsy,θ and Es,θ
σ
ε sp,Θ ε sy,Θ ε st,Θ ε su,Θ ε
fsy,Θ
fsp,Θ
Es,θ
Brussels, 18-20 February 2008 – Dissemination of information workshop 14
EUROCODESBackground and Applications Reinforcing steel strength
0
0,2
0,4
0,6
0,8
1
0 0,002 0,004 0,006 0,008 0,01 0,012 0,014 0,016 0,018 0,02
strain εs [-]
ratio
of s
treng
th
fs, /
fyk [-
]
500°C
600°C
700°C
800°C
20°C - 400°C
hot rolled reinforcing steel fyk = 500 N/mm2
1000°C
strength at 0.2% proof strain
Brussels, 18-20 February 2008 – Dissemination of information workshop 15
EUROCODESBackground and Applications Strength reduction of reinforcing steel
Strength reduction for simplified calculation methods in Section 4• Class N (normal)
Curve 1 : Tension reinforcement (hot rolled) for strains εs,fi ≥ 2% Curve 2 : Tension reinforcement (cold worked) for strains εs,fi ≥ 2% Curve 3 : Compression reinforcement and tension reinfor-cement for strains εs,fi < 2%
0,8
1
0
1
2
3
0,6
0,2
0,4
1000200 800400 12000 600
ks(θ )
θ [°C]
Brussels, 18-20 February 2008 – Dissemination of information workshop 16
EUROCODESBackground and Applications Strength reduction of steel
Strength reduction for simplified calculation methods in Section 4• Class X: recommended only when there is experimental evidence
Brussels, 18-20 February 2008 – Dissemination of information workshop 17
EUROCODESBackground and Applications Reinforcing steel Class X
Class X was proposed by Finland because initial testing of steel strength at elevated temperatures is required in Finnish standard
FINNISH NA:• Class X may be used with following additional conditions: • Strength properties at elevated temperatures are determined by applying
standard SFS-EN 10002-5.• Strength properties of reinforcing steel at elevated temperatures are subject to
initial type testing at temperatures 300 °C, 400 °C, 450 °C, 500 °C and 550 °C.• Requirements for 0,2 % proof strength Rp0,2 are given in table 3.2-FI, where
fyk is nominal yield strength or 0,2 % proof stress of the reinforcing steel at room temperature.
• Table 3.2-FI: 1 Strength requirements of reinforcing steel at elevated temperatures
Brussels, 18-20 February 2008 – Dissemination of information workshop 18
EUROCODESBackground and Applications Reference curve for Tabulated data in Section 5
1. Reinforcing steel θcr = 500˚C 0,6 stress level
2. Prestressing bars θcr = 400˚C 0,55 stress level
3. Prestressing wires and strands
θcr = 350˚C 0,55 stress level
4
Brussels, 18-20 February 2008 – Dissemination of information workshop 19
EUROCODESBackground and Applications Strength reduction of prestressing steel
Strength reduction is given by fpy,θ / (βfpk) and fpp,θ / (βfpk), where β is NDP
• Class A:
• Class B: β = 0,9
Brussels, 18-20 February 2008 – Dissemination of information workshop 20
EUROCODESBackground and Applications Background for Class A
Common new proposal from the University of Liege and CERIB for the general and simplified models for the mechanical properties of prestressing steel (wires and strands) at elevated temperatures,
September 12th 2003
Brussels, 18-20 February 2008 – Dissemination of information workshop 21
EUROCODESBackground and Applications Strength reduction of prestressing steel
Strength reduction for simplified calculation methods in Section 4
Brussels, 18-20 February 2008 – Dissemination of information workshop 22
EUROCODESBackground and Applications Thermal properties
• Specific heat of concrete, u is moisture % by weight
Brussels, 18-20 February 2008 – Dissemination of information workshop 23
EUROCODESBackground and Applications Thermal properties
• Thermal conductivity of concrete, NDP between upper and lower limit
Brussels, 18-20 February 2008 – Dissemination of information workshop 24
EUROCODESBackground and Applications Background for thermal conductivity
• Project Team EN 1992-1-2 made a lot of calibrations to temperatures measured in fire tests of typical concrete structures, and the lower limit fits very well
• Design rules for steel-concrete composite structures (mainly including heavy steel sections) seem to be calibrated to the upper limit
• A compromise was made on TC 250 level: NDP between upper and lower limit
• EN 1992-1-2, 3.3.3:• Note 2: Annex A is compatible with the lower limit. The
remaining clauses of this part 1-2 are independent of the choice of thermal conductivity. For high strength concrete, see 6.3.
5
Brussels, 18-20 February 2008 – Dissemination of information workshop 25
EUROCODESBackground and Applications
EN 1992-1-2Fire design of concrete structures
• Sections 1 and 2 General, Basis of design • Section 3 Material properties• Section 4 Design procedures
– Simplified calculation method 4.2, Annex A, B and E– Shear, torsion and anchorage 4.4 and Annex D– Spalling 4.5
• Section 5 Tabulated data– Annex C
• Section 6 High strength concrete
Brussels, 18-20 February 2008 – Dissemination of information workshop 26
EUROCODESBackground and Applications Design methods
• advanced calculation methods for simulating the behaviour of structural members, parts of the structure or the entire structure, see 4.3– only principles are given, no detailed design rules
• simplified calculation methods for specific types of members, see 4.2– Annex B.1 “500°C isotherm method”
developed by Dr Yngve Anderberg, earlier published in Sweden and in CEB Bulletins
– Annex B.2 “Zone method”developed by Dr Kristian Hertz, earlier published in Denmark and in ENV 1992-1-2
• detailing according to recognised design solutions (tabulated dataor testing), see Section 5
• Shear, torsion and anchorage; spalling; joints
Brussels, 18-20 February 2008 – Dissemination of information workshop 27
EUROCODESBackground and Applications Simplified calculation method
• 500°C isotherm method
• Zone method • • •
Concrete with temperature below 500°C retains full strength and the rest is disregarded
Cross section is divided in zones. Mean temperature and corresponding strength of each zone is used
This method is more accurate for small cross sections than 500°C isotherm method
500°C
kc(θ1)
kc(θ2)kc(θ3)
M kc(θM)
Brussels, 18-20 February 2008 – Dissemination of information workshop 28
EUROCODESBackground and Applications 500°C isotherm method
• Determine the 500°C isotherm and the reduced width bfi and effective depth dfi
• Determine the temperature of reinforcing bars and the reduced strength
• Use conventional calculation methods
Brussels, 18-20 February 2008 – Dissemination of information workshop 29
EUROCODESBackground and Applications Temperature profiles
x (mm)0 10 20 30 40 50 60 70 80 90 100
300
200
0
400
600
800
1000
1200 θ ( C)
1100
900
700
500
100
R30 R60 R90
R120
R180
R240
• Temperature distribution in the cross section can be calculated from the thermal properties
• Annex A of EN 1992-1-2 gives temperature profiles for slabs, beams and columns
Brussels, 18-20 February 2008 – Dissemination of information workshop 30
EUROCODESBackground and Applications Simplified calculation method for beams and slabs
• Annex E• Simplified method to calculate bending capacity for predominantly
uniformly distributed loads• This is some kind of extension of Tabulated data
6
Brussels, 18-20 February 2008 – Dissemination of information workshop 31
EUROCODESBackground and Applications Shear, torsion and anchorage
Annex D (informative)• Shear failures due to fire are very uncommon. However, the
calculation methods given in this Annex are not fully verified.• For elements in which the shear capacity is dependent on the
tensile strength, special consideration should be given where tensile stresses are caused by non-linear temperature distributions
Brussels, 18-20 February 2008 – Dissemination of information workshop 32
EUROCODESBackground and Applications Calculation for shear
The reference temperature θ p should be evaluated at points P along the line ‘a -a’ for the calculation of the shear resistance. The effective tension area A may be obtained from EN 1992-1 (SLS of cracking).
a
a aa aa
P P P
A
Brussels, 18-20 February 2008 – Dissemination of information workshop 33
EUROCODESBackground and Applications Spalling of normal strength concrete
CALCULATION METHODS TABULATED DATADefine exposure class ↓
↓ ↓ Explosive spalling is coveredX0 or XC1 (dry) other by minimum requirements
↓ ↓ No further check neededMoisture content ≤ 3
%Yes
≤ 3 %←
Is moisture contentknown
↓ No, or yes but > 3 %↓
OK Yes←
Avoid spalling bymore accurate as-
sessment
Moisture content, type of aggre-gates, permeability of concrete,
heating rateNo↓
OKYes←
Has the correct be-haviour been checked
by tests
No→
Assume loss of cover andcalculate R
Solid slabs OK,some beams OK
Brussels, 18-20 February 2008 – Dissemination of information workshop 34
EUROCODESBackground and Applications Falling off of normal strength concrete
Shall be minimised or taken into account
c ≥ 70 mm No → OK↓Yes
Tests to showthat falling of
does not occur
Yes→
OK
No↓
Provide sur-face rein-forcement
Brussels, 18-20 February 2008 – Dissemination of information workshop 35
EUROCODESBackground and Applications
EN 1992-1-2Fire design of concrete structures
• Sections 1 and 2 General, Basis of design • Section 3 Material properties• Section 4 Design procedures
– Simplified calculation method 4.2, Annex A, B and E– Shear, torsion and anchorage 4.4 and Annex D– Spalling 4.5
• Section 5 Tabulated data– Annex C
• Section 6 High strength concrete
Brussels, 18-20 February 2008 – Dissemination of information workshop 36
EUROCODESBackground and Applications Scope of Tabulated data
(1) This section gives recognised design solutions for the standard fireexposure up to 240 minutes. The rules refer to member analysis.
Note: The tables have been developed on an empirical basis confirmed by experience and theoretical evaluation of tests. The data is derived from approximate conservative assumptions for the more common structural elements and is valid for the whole range of thermal conductivity in 3.3. More specific tabulated data can be found in the product standards for some particular types of concrete products or developed, on the basis of the calculation method in accordance with 4.2, 4.3 and 4.4.
(2) The values given in the tables apply to normal weight concrete (2000 to 2600 kg/m3, made with siliceous aggregates.If calcareous aggregates or lightweight aggregates are used in beams or slabsthe minimum dimension of the cross-section may be reduced by 10%.
(3) When using tabulated data no further checks are required concerning shear and torsion capacity and anchorage details.
(4) When using tabulated data no further checks are required concerning spalling, except for surface reinforcement.
7
Brussels, 18-20 February 2008 – Dissemination of information workshop 37
EUROCODESBackground and Applications Tabulated data - General
Tabulated data are based on a reference load level ηfi = 0,7, unless otherwise stated in the relevant clauses.Note: Where the partial safety factors specified in the National Annexes of EN 1990 deviate from those indicated in 2.4.2, the above value ηfi = 0,7 may not be valid. In such circumstances the value of ηfi for use in a Country may be found in its National Annex.
For walls and columns load level ηfi or degree of utilisation µfiis included in the tables
Linear interpolation between the values in the tables may be carried out
Brussels, 18-20 February 2008 – Dissemination of information workshop 38
EUROCODESBackground and Applications Load level and degree of utilisation
ACTIONS RESISTANCES
Ed
withγF
Ed,fi
withγF,fiandψfi
Rd
withγM
time Ed × ηfi = Ed,fi Rd Rd,fi ηfi = load level µfi = Ed,fi / Rd = degree of utilisation takes into account if the structure is not fully loaded
Brussels, 18-20 February 2008 – Dissemination of information workshop 39
EUROCODESBackground and Applications Tabulated data – main principle
bmin
a
Check minimum dimensions of concrete cross section and axis distance to steel
Axis distance is nominal value, no need to add tolerance
Axis distance is given for reinforcing steel (θcr = 500ºC), to be increased for prestressing steel (bars 10 mm, strands and wires 15 mm)
θcr = 500ºC is derived from load level 0,7 divided by partial factor for reinforcement γs = 1,15 → σs,fi/fyk = 0,60
For prestressing strands and wires θcr = 350ºC and σs,fi/fp0,1k = 0,55(Ed,fi = 0,7 Ed, fp0,1k/fpk = 0,9, γs = 1,15)
Brussels, 18-20 February 2008 – Dissemination of information workshop 40
EUROCODESBackground and Applications Tabulated data in EN 1992-1-2
For beams and slabs degree of utilisation may be taken into account by following simple rule:
a) Calculate the actual steel stress
b) Evaluate the critical temperature using reference curve for steel strength
c´) Adjust the minimum axis distance by 1 mm for every 10˚C difference in temperature
f AEσE A
yk s,reqd,fis,fi
d s,provs
(20 C) = x x
γ°
σs,fi /fyk = 0,4
Tcr = 580˚C, ∆a = - 8 mm
Brussels, 18-20 February 2008 – Dissemination of information workshop 41
EUROCODESBackground and Applications Tabulated data for columns
• Completely revised• Two optional methods are given
– Method A is derived from test results, but field of application is limited to buckling length ≤ 3 m and first order eccentricity ≤0,15h to 0,4h (depending on the National Annex)
– Method B is based on calculations, it is more conservative and many interpolations are needed. Limitations for normative table:eccentricity ≤ 0,25h and λfi ≤ 309 pages of tables in Annex C
Brussels, 18-20 February 2008 – Dissemination of information workshop 42
EUROCODESBackground and Applications Parameters for columns
In Method A degree of utilisation:
µfi = NEd.fi /NRd
In Method B load level is defined as:
n = N0Ed,fi /(0,7(Ac fcd + As fyd))
Slenderness, lo,fi- upper floor 0,7 l- intermediate floor 0,5 l
l 0,7 l 0,5 l
Eccentricity
8
Brussels, 18-20 February 2008 – Dissemination of information workshop 43
EUROCODESBackground and Applications Method A for columns
Minimum dimensions (mm) Column width bmin/axis distance a of the main bars
Column exposed on more than one side Exposed on one side
Standard fire
resistance
µ fi = 0.2 µ fi = 0.5 µ fi = 0.7 µ fi = 0.7 1 2 3 4 5
R 30
R 60
R 90
R 120
R 180
R 240
200/25
200/25
200/31 300/25
250/40 350/35
350/45**
350/61**
200/25
200/36 300/31
300/45 400/38
350/45** 450/40**
350/63**
450/75**
200/32 300/27
250/46 350/40
350/53
450/40**
350/57** 450/51**
450/70**
-
155/25
155/25
155/25
175/35
230/55
295/70 ** Minimum 8 bars For prestressed columns the increase of axis distance according to 5.2. (5) should be noted.
Brussels, 18-20 February 2008 – Dissemination of information workshop 44
EUROCODESBackground and Applications Method B for columns
Standard
fire
Mechanical reinforcement
Minimum dimensions (mm). Column width bmin/axis distance a
resistance ratio ω n = 0,15 n = 0,3 n = 0,5 n = 0,7 1 2 3 4 5 6
R 30
R 60
R 90
R 120
R 180
R 240
0,100 0,500 1,000
0,100 0,500 1,000
0,100 0,500 1,000
0,100 0,500 1,000
0,100 0,500 1,000
0,100 0,500 1,000
150/25* 150/25* 150/25*
150/30:200/25*
150/25* 150/25*
200/40:250/25* 150/35:200/25*
200/25*
250/50:350/25* 200/45:300/25* 200/40:250/25*
400/50:500/25* 300/45:450/25* 300/35:400/25*
500/60:550/25* 450/45:500/25* 400/45:500/25*
150/25* 150/25* 150/25*
200/40:300/25* 150/35:200/25* 150/30:200/25*
300/40:400/25* 200/45:300/25* 200/40:300/25*
400/50:550/25* 300/45:550/25* 250/50:400/25*
500/60:550/25* 450/50:600/25* 450/50:550/25*
550/40:600/25* 550/55:600/25* 500/40:600/30
200/30:250/25*
150/25* 150/25
300/40:500/25* 250/35:350/25* 250/40:400/25
500/50:550/25* 300/45:550/25* 250/40:550/25*
550/25*
450/50:600/25 450/45:600/30
550/60:600/30 500/60:600/50 500/60:600/45
600/75 600/70 600/60
300/30:350/25* 200/30:250/25* 200/30:300/25
500/25*
350/40:550/25* 300/50:600/30
550/40:600/25* 550/50:600/40 500/50:600/45
550/60:600/45 500/60:600/50
600/60
(1) 600/75
(1)
(1) (1) (1)
* Normally the cover required by EN 1992-1-1 will control. (1) Requires width greater than 600 mm. Particular assessment for buckling is required.
Brussels, 18-20 February 2008 – Dissemination of information workshop 45
EUROCODESBackground and Applications Simple calculation for method A
R = 120 ((Rηfi + Ra + Rl + Rb + Rn )/120)1,8
( )
+
+−=
ωαωµηcc
fifi /85,0)1(00,183R
Ra = 1,60 (a – 30)Rl = 9,60 (5 – lo,fi)Rb = 0.09 b’Rn = 0 for n = 4 (corner bars only)
= 12 for n > 4a = axis distance to the longitudinal steel bars (mm); 25 mm ≤ a ≤80 mml0,fi = effective length of the column under fire conditions; 2 m ≤ l0,fi ≤6 m;b’ = 2Ac/ (b+h) for rectangular cross-sections = φ col for circular cross-sections (mm) ;
200 mm ≤ b’ ≤ 450 mm; h ≤ 1,5 b.ω = mechanical reinforcement ratio at normal temperature condi-tions
cdc
yds
fAfA
=
αcc = coefficient for compressive strength (see EN 1992-1-1)
Brussels, 18-20 February 2008 – Dissemination of information workshop 46
EUROCODESBackground and Applications 300 x 300 a = 35
0
30
60
90
120
150
180
0 1 2 3 4 5 6
Buckling length (m)
R (m
in)
eta,fi = 0,5 > 4 bars eta,fi = 0,5 "4 bars" eta,fi = 0,3 > 4 bars eta,fi = 0,3 4 bars
Brussels, 18-20 February 2008 – Dissemination of information workshop 47
EUROCODESBackground and Applications Walls
• Tabulated data as in ENV• Fire walls have been added
– Classification M, to be used only if there are national requirements
– Data taken from DIN standard
Brussels, 18-20 February 2008 – Dissemination of information workshop 48
EUROCODESBackground and Applications Beams, slabs, tensile members
• In principle the same as in ENV• Some numerical values have been checked, e.g.
– Rule for increase of axis distance in I-beam web (validity of expression 5.10)
– Three classes for I-beam web thickness (NDP)– Minimum width of continuous beams– Flat slab thicknesses have been checked (to more conservative
direction)
9
Brussels, 18-20 February 2008 – Dissemination of information workshop 49
EUROCODESBackground and Applications
EN 1992-1-2Fire design of concrete structures
• Sections 1 and 2 General, Basis of design • Section 3 Material properties• Section 4 Design procedures
– Simplified calculation method 4.2, Annex A, B and E– Shear, torsion and anchorage 4.4 and Annex D– Spalling 4.5
• Section 5 Tabulated data– Annex C
• Section 6 High strength concrete
Brussels, 18-20 February 2008 – Dissemination of information workshop 50
EUROCODESBackground and Applications Strength reduction of high strength concrete
• Large scatter in strength, composition of concrete has big influence
Brussels, 18-20 February 2008 – Dissemination of information workshop 51
EUROCODESBackground and Applications HSC strength reduction is NDP
0
0,1
0,2
0,3
0,4
0,5
0,6
0,7
0,8
0,9
1
0 100 200 300 400 500 600 700 800
Temperature
Stre
ngth
redu
ctio
n
Class 1Class 2Class 3
Brussels, 18-20 February 2008 – Dissemination of information workshop 52
EUROCODESBackground and Applications HSC Tabulated data
Increase of minimum cross section by factor
Class 1 Class 2
- Walls and slabs exposed on one side
1,1 1,3
- Other structural members 1,2 1,6 Increase of axis distance by factor 1,1 1,3 Note: Factors are recommended values, and may be modified in National Annex Factor for axis distance in Class 2 seems to be too high, and it should not depend on the strength reduction
Brussels, 18-20 February 2008 – Dissemination of information workshop 53
EUROCODESBackground and Applications HSC simplified calculation
km Moment capacity reduction factors for beams and slabs Class 1 Class 2 Beams 0,98 0,95 Slabs exposed to fire in the compres-sion zone
0,98 0,95
Slabs exposed to fire in the tension side, hs ≥ 120 mm
0,98 0,95
Slabs exposed to fire in the tension side, hs = 50 mm
0,95 0,85
Brussels, 18-20 February 2008 – Dissemination of information workshop 54
EUROCODESBackground and Applications Spalling of HSC
• Up to C80/95 and silica fume content less than 6 % rules for normal strength concrete apply
• In other cases at least one of the following methods:– A: A reinforcement mesh with a nominal cover of 15 mm. This
mesh should have wires with a diameter ≥ 2 mm with a pitch ≤50 x 50 mm. The nominal cover to the main reinforcement should be ≥ 40 mm.
– B: A type of concrete for which it has been demonstrated (by local experience or by testing) that no spalling of concrete occurs under fire exposure.
– C: Protective layers for which it is demonstrated that no spalling of concrete occurs under fire exposure
– D: Include in the concrete mix more than 2 kg/m3 of monofilament propylene fibres.
10
Brussels, 18-20 February 2008 – Dissemination of information workshop 55
EUROCODESBackground and Applications Background documentation
• Project Team has written ”Main background document” describing main changes to ENV
• It refers to other numbered documents called BDA (Background Document Annex)
• These documents have been delivered to CEN/TC 250/SC 2.
End of presentation
EUROCODE 3 - 1.2 STEEL STRUCTURES
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Febru
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2005
temperature [oC]tim
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120
800 0
400
Th
erm
al re
sp
on
se
Ste
el b
eam
/co
ncre
te s
lab
(2D
)
Th
erm
al re
sp
on
se
Ste
el b
eam
/co
ncre
te s
lab
(2D
)
Fir
e D
esig
n S
teel
Str
uctu
res –
Main
ro
ute
Euro
codes
: B
ack
gro
und &
Appli
cati
ons
Str
uct
ura
l F
ire
Des
ign:
EC
3-1
.2 S
teel
Str
uct
ure
s
Bru
ssel
s, F
ebru
ary
2008 4
L. T
wil
t
TN
O C
entr
e fo
r F
ire R
esea
rch
The N
ether
lands
Bru
sse
ls,
18
-20
Fe
bru
ary
20
08
–D
isse
min
atio
n o
f in
form
atio
n w
ork
sho
p1
3
EU
RO
CO
DE
SB
ac
kg
rou
nd
an
d A
pp
licati
on
s
TN
O C
entr
e for
Fire R
esearc
h13
L. T
wilt
Febru
ary
2005
Mech
an
ical re
sp
on
se
Basic
s
�T
heory
of
Ap
plie
d M
ech
anic
s�
Bern
ouill
i�
ε to
t=
εth
erm
+ ε
σ⇒
coeff
icie
nt
of
therm
al elo
ngation (
αth
erm
)⇒
constitu
tive r
ela
tio
nsh
ips s
teel, c
on
cre
te,
…
�yie
ldm
odels
�defo
rmation c
apacity
�…
�R
edu
ce
d s
tre
ngth
& s
tiff
ness a
t ele
vate
d
tem
pera
ture
Em
phasis
on u
ltim
ate
sta
te a
naly
sis
Fir
e D
esig
n S
teel
Str
uctu
res –
Main
ro
ute
Bru
sse
ls,
18
-20
Fe
bru
ary
20
08
–D
isse
min
atio
n o
f in
form
atio
n w
ork
sho
p1
4
EU
RO
CO
DE
SB
ac
kg
rou
nd
an
d A
pp
licati
on
s
TN
O C
entr
e for
Fire R
esearc
h14
L. T
wilt
Febru
ary
2005
Mech
an
ical
pro
pert
ies o
f ste
el at
ele
vate
d
tem
pera
ture
s(q
ualita
tive)
str
ain
[%
]
str
ess [N
/mm
2]
f y,θ
‘ ‘
str
ess s
train
re
lation
s
tem
pera
ture
[C
]
400
ff yy, ,
θθ=
k
= k
θθ·· ff
y,20
y,20
ky
θθ
str
ength
red
uction f
acto
r
f y,2
0
f y,2
0
f y,θ
+-
θ20
°C
Note
s:
-unlim
ite
d d
efo
rmatio
n c
ap
acity
-“
+ “
= “
-”
Fir
e D
esig
n S
teel
Str
uctu
res –
Main
ro
ute
Bru
sse
ls,
18
-20
Fe
bru
ary
20
08
–D
isse
min
atio
n o
f in
form
atio
n w
ork
sho
p1
5
EU
RO
CO
DE
SB
ac
kg
rou
nd
an
d A
pp
licati
on
s
TN
O C
entr
e for
Fire R
esearc
h15
L. T
wilt
Febru
ary
2005
Mech
an
ical re
sp
on
se
Pri
ncip
le
failu
re a
t t f
for:
Rt<
Ed
Θ
with:
RΘ
: re
sis
tance
at
t m
Ed
Θ:
actio
n e
ffect
at
t m
t f:
resis
tan
ce
to f
ire
note
: t f
dep
en
ds a
.o.
on
the “
ga
p”
betw
een
Rd20 a
nd E
dΘ
R,E
tim
et f
t f
Ed
Θ
Rd2
0
“gap”
Fir
e D
esig
n S
teel
Str
uctu
res –
Main
ro
ute
Bru
sse
ls,
18
-20
Fe
bru
ary
20
08
–D
isse
min
atio
n o
f in
form
atio
n w
ork
sho
p1
6
EU
RO
CO
DE
SB
ac
kg
rou
nd
an
d A
pp
licati
on
s
TN
O C
entr
e for
Fire R
esearc
h16
L. T
wilt
Febru
ary
2005
0
0.2
0.4
0.6
0.81
1.2
02
00
40
06
00
80
01
00
01
20
0
tem
pe
ratu
ur
[0C
] =
=>
Reductiefactor [-] ==>
Vlo
eig
ren
s S
taa
l
E-m
od
ulu
s S
taa
l
Dru
ks
terk
te B
eto
n
E-m
od
ulu
s B
eto
n
Red
ucti
on
of
str
en
gth
& s
tiff
ness
at
ele
vate
d t
em
pera
ture
s
Fir
e D
esig
n S
teel
Str
uctu
res –
Main
ro
ute
Euro
codes
: B
ack
gro
und &
Appli
cati
ons
Str
uct
ura
l F
ire
Des
ign:
EC
3-1
.2 S
teel
Str
uct
ure
s
Bru
ssel
s, F
ebru
ary
2008 5
L. T
wil
t
TN
O C
entr
e fo
r F
ire R
esea
rch
The N
ether
lands
Bru
sse
ls,
18
-20
Fe
bru
ary
20
08
–D
isse
min
atio
n o
f in
form
atio
n w
ork
sho
p1
7
EU
RO
CO
DE
SB
ac
kg
rou
nd
an
d A
pp
licati
on
s
TN
O C
entr
e for
Fire R
esearc
h17
L. T
wilt
Febru
ary
2005
050
100
150
200
250
300 0
20
40
60
80
100
120
140
tim
e (m
in)
deflection(mm)
test
calc
ula
tion
Calc
ula
tion v
ste
st
Sim
ula
ted failu
re m
ode
Failu
rem
ode
in test
Cellu
lar
ste
el beam
Fir
e D
esig
n S
teel
Str
uctu
res –
Main
ro
ute
So
urc
e:E
fecti
sF
ran
ce (
CT
ICM
)
Fir
e D
esig
n S
teel S
tru
ctu
res
Po
ten
tial o
f E
C3-1
.2
Bru
sse
ls,
18
-20
Fe
bru
ary
20
08
–D
isse
min
atio
n o
f in
form
atio
n w
ork
sho
p1
8
EU
RO
CO
DE
SB
ac
kg
rou
nd
an
d A
pp
licati
on
s
TN
O C
entr
e for
Fire R
esearc
h18
L. T
wilt
Febru
ary
2005
Str
uctu
ral fi
re d
esig
n p
roced
ure
sT
yp
e o
f m
od
els
�S
imple
calc
ula
tio
n m
odels
�b
eam
s�
com
pre
ssio
n m
em
bers
�N
only
�N
& M
�te
nsio
n m
em
bers
�A
dvance
d c
alc
ula
tio
n m
od
els
�T
ests
for
ind
ivid
ual m
em
bers
only
!
Fir
e D
esig
n S
teel
Str
uctu
res –
Desig
n
Bru
sse
ls,
18
-20
Fe
bru
ary
20
08
–D
isse
min
atio
n o
f in
form
atio
n w
ork
sho
p1
9
EU
RO
CO
DE
SB
ac
kg
rou
nd
an
d A
pp
licati
on
s
TN
O C
entr
e for
Fire R
esearc
h19
L. T
wilt
Febru
ary
2005
Sim
ple
calc
ula
tio
n m
od
els
Co
ncep
ts
�“R
esis
tance”
conce
pt
�“C
ritical te
mpera
ture
”co
ncept
Fir
e D
esig
n S
teel
Str
uctu
res –
Desig
n
Bru
sse
ls,
18
-20
Fe
bru
ary
20
08
–D
isse
min
atio
n o
f in
form
atio
n w
ork
sho
p2
0
EU
RO
CO
DE
SB
ac
kg
rou
nd
an
d A
pp
licati
on
s
TN
O C
entr
e for
Fire R
esearc
h20
L. T
wilt
Febru
ary
2005
Sim
ple
calc
ula
tio
n m
od
els
“R
esis
tan
ce”
co
nce
pt
�“C
om
pre
ssio
n m
em
bers
”(N
, N
& M
):pro
ce
dure
diffe
rentfr
om
ro
om
tem
pera
ture
pro
ce
dure
s�
“Be
am
s”
and
“te
nsio
n m
em
bers
”:pro
ce
dure
sim
ilar
to r
oom
te
mpera
ture
pro
ce
dure
s
Fir
e D
esig
n S
teel
Str
uctu
res –
Desig
n
Euro
codes
: B
ack
gro
und &
Appli
cati
ons
Str
uct
ura
l F
ire
Des
ign:
EC
3-1
.2 S
teel
Str
uct
ure
s
Bru
ssel
s, F
ebru
ary
2008 6
L. T
wil
t
TN
O C
entr
e fo
r F
ire R
esea
rch
The N
ether
lands
Bru
sse
ls,
18
-20
Fe
bru
ary
20
08
–D
isse
min
atio
n o
f in
form
atio
n w
ork
sho
p2
1
EU
RO
CO
DE
SB
ac
kg
rou
nd
an
d A
pp
licati
on
s
TN
O C
entr
e for
Fire R
esearc
h21
L. T
wilt
Febru
ary
2005
“R
esis
tan
ce”
co
nce
pt
Illu
str
ati
on
fo
r th
e b
uc
kli
ng
re
sis
tan
ce N
b,fi,
Θ,R
d
�
with
�bucklin
g c
oeffic
ient
�im
perf
ection c
oeff.
�re
l. s
lendern
ess r
atio
Fir
e D
esig
n S
teel
Str
uctu
res –
Desig
n
…(1
)
…(a
)
yy
fiR
dfi
bf
kA
NΘ
=,
,,
χ
22
1
θθ
θλ
ϕϕ
χ−
+=
fi
5,0
,,
]/
[θ
θθ
λλ
Ey
kk
=
…(b
)
Note
: -
ϕΘ
depends on s
teel gra
de a
nd λ
Θ
-λ
Θdepends o
n tem
pera
ture
]2
1[
21
θλ
θλ
αθ
ϕ+
+=
…(c
)
Bru
sse
ls,
18
-20
Fe
bru
ary
20
08
–D
isse
min
atio
n o
f in
form
atio
n w
ork
sho
p2
2
EU
RO
CO
DE
SB
ac
kg
rou
nd
an
d A
pp
licati
on
s
TN
O C
entr
e for
Fire R
esearc
h22
L. T
wilt
Febru
ary
2005
Bu
cklin
g c
urv
es a
t ele
vate
d t
em
pera
ture
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
0.0
0.5
1.0
1.5
2.0
2.5
3.0
Lam
da r
el(
Tcri
t)
Nu(T) / Npl(T)
New
S50
0
New
S35
5
New
S23
5
EN
V 1
993
Fir
e D
esig
n S
teel
Str
uctu
res –
Co
nvers
ion
Bru
sse
ls,
18
-20
Fe
bru
ary
20
08
–D
isse
min
atio
n o
f in
form
atio
n w
ork
sho
p2
3
EU
RO
CO
DE
SB
ac
kg
rou
nd
an
d A
pp
licati
on
s
TN
O C
entr
e for
Fire R
esearc
h23
L. T
wilt
Febru
ary
2005
Bu
cklin
g c
urv
es
Desig
n a
id
λ(2
0°C
) 4
00°C
500°C
600°C
700°C
800°C
0.0
1.0
00
1.0
00
1.0
00
1.0
00
1.0
00
0.1
0.9
27
0.9
31
0.9
24
0.9
17
0.9
34
0.2
0.8
60
0.8
69
0.8
53
0.8
36
0.8
75
0.3
0.7
94
0.8
10
0.7
84
0.7
57
0.8
20
0.4
0.7
28
0.7
50
0.7
15
0.6
79
0.7
64
0.5
0.6
63
0.6
90
0.6
46
0.6
03
0.7
08
0.6
0.5
98
0.6
29
0.5
79
0.5
31
0.6
51
0.7
0.5
35
0.5
69
0.5
15
0.4
66
0.5
93
0.8
0.4
76
0.5
11
0.4
56
0.4
08
0.5
35
0.9
0.4
22
0.4
56
0.4
03
0.3
57
0.4
81
1.0
0.3
74
0.4
06
0.3
56
0.3
14
0.4
30
1.1
0.3
32
0.3
62
0.3
16
0.2
77
0.3
84
1.2
0.2
96
0.3
23
0.2
80
0.2
45
0.3
43
1.3
0.2
64
0.2
89
0.2
50
0.2
18
0.3
07
1.4
0.2
37
0.2
59
0.2
24
0.1
95
0.2
75
1.5
0.2
13
0.2
33
0.2
01
0.1
75
0.2
48
1.6
0.1
92
0.2
11
0.1
82
0.1
58
0.2
24
1.7
0.1
75
0.1
91
0.1
65
0.1
43
0.2
04
1.8
0.1
59
0.1
74
0.1
50
0.1
30
0.1
85
1.9
0.1
45
0.1
59
0.1
37
0.1
19
0.1
69
2.0
0.1
33
0.1
46
0.1
26
0.1
09
0.1
55
Fir
e D
esig
n S
teel
Str
uctu
res –
Desig
n
χ(
Θ,c
rit
)fo
r S
235
Bru
sse
ls,
18
-20
Fe
bru
ary
20
08
–D
isse
min
atio
n o
f in
form
atio
n w
ork
sho
p2
4
EU
RO
CO
DE
SB
ac
kg
rou
nd
an
d A
pp
licati
on
s
TN
O C
entr
e for
Fire R
esearc
h24
L. T
wilt
Febru
ary
2005
“R
esis
tan
ce”
co
nce
pt
Illu
str
ati
on
fo
r m
om
en
t c
ap
acit
y M
fi,Θ
,Rd
�U
niform
tem
pera
ture
dis
trib
ution:
�N
on u
niform
tem
pera
ture
dis
trib
ution*)
:
with:
ky,Θ
=str
ength
reduction facto
r
A =
ste
el are
a
κ1,
κ2
= adapta
tion facto
rs for
non u
niform
tem
pera
ture
dis
trib
ution
Fir
e D
esig
n S
teel
Str
uctu
res –
Desig
n
Rd
yR
dfi
Mk
MΘ
Θ=
,,
,…
(1)
…(2
)2
1,
,,
/κ
κR
dy
Rd
fiM
kM
ΘΘ
=
*) O
nly
for
cla
ss 1
, 2 c
ross s
ections; an “
exact”
calc
ula
tion is a
lso a
llow
ed
Euro
codes
: B
ack
gro
und &
Appli
cati
ons
Str
uct
ura
l F
ire
Des
ign:
EC
3-1
.2 S
teel
Str
uct
ure
s
Bru
ssel
s, F
ebru
ary
2008 7
L. T
wil
t
TN
O C
entr
e fo
r F
ire R
esea
rch
The N
ether
lands
Bru
sse
ls,
18
-20
Fe
bru
ary
20
08
–D
isse
min
atio
n o
f in
form
atio
n w
ork
sho
p2
5
EU
RO
CO
DE
SB
ac
kg
rou
nd
an
d A
pp
licati
on
s
TN
O C
entr
e for
Fire R
esearc
h25
L. T
wilt
Febru
ary
2005
Fir
e D
esig
n S
teel
Str
uctu
res –
Desig
n
Efi,d
/Rfi,d
,Θ=
fy,Θ
/fy
= k
y,Θ
(= µ
Θ)
0
200
400
600
800
1000
1200
00,2
0,4
0,6
0,8
11,2
stre
ng
th-r
ed
ucti
on
fa
cto
r (=
uti
lisa
tio
n)
steel temperature
“C
riti
cal te
mp
era
ture
”co
nc
ep
tB
asic
s
�U
tilis
ation
facto
r µ
Θin
tem
pera
ture
dom
ain
:
�S
trength
reduction f
acto
r as function s
teel te
mpera
ture
with:
Θ=
ste
el te
mpera
ture
ky,
Θ=
str
ength
reduction facto
rµ
Θ=
utilis
ation
facto
r
Bru
sse
ls,
18
-20
Fe
bru
ary
20
08
–D
isse
min
atio
n o
f in
form
atio
n w
ork
sho
p2
6
EU
RO
CO
DE
SB
ac
kg
rou
nd
an
d A
pp
licati
on
s
TN
O C
entr
e for
Fire R
esearc
h26
L. T
wilt
Febru
ary
2005
ste
p 1
: dete
rmin
e m
echanic
al re
sponse µ
a⇒
Θcrit
ste
p 2
: dete
rmin
e therm
al re
sponse ⇒
Θa
ste
p 3
: dete
rmin
e fir
e r
esis
tance ⇒
fire
res.
Θ,
µ0
Sta
ndard
Fire c
urv
e
fire
res.
utilis
ation f
acto
r
Θa
Θcrit
tim
e
ste
p 1
ste
p 2
ste
p 3
Θa
ste
el te
mp.
“C
riti
cal te
mp
era
ture
”co
nc
ep
t
Desig
n p
roc
ed
ure
Fir
e D
esig
n S
teel
Str
uctu
res –
Desig
n
Bru
sse
ls,
18
-20
Fe
bru
ary
20
08
–D
isse
min
atio
n o
f in
form
atio
n w
ork
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n
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ls,
18
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bru
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20
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ple
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ula
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sse
ls,
18
-20
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bru
ary
20
08
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n o
f in
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ork
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p3
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DE
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D
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codes
: B
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Appli
cati
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Str
uct
ura
l F
ire
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ign:
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3-1
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s
Bru
ssel
s, F
ebru
ary
2008 9
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wil
t
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entr
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r F
ire R
esea
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ether
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sse
ls,
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bru
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bru
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h36
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wilt
Febru
ary
2005
: new
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cati
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uct
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l F
ire
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ign:
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ssel
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ire R
esea
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Lit
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roco
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ackgro
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uid
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“Desig
n o
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o F
ire”
by J
-M. F
ranssen
and R
. Z
aharia,
Univ
. Liè
ge,
2006
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onvers
ion E
NV
�E
N�
“The n
ew
Euro
code
on F
ire D
esig
n o
f S
teel S
tructu
res”
by L
. T
wilt
, P
roceedin
gs Int. S
em
inar
on S
teel S
tructu
res
in F
ire,
Shanghai, 2
001*)
*) a
lso a
vaila
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as b
ackgro
und d
ocum
ent of th
e w
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shop o
n E
urc
ocodes,
Backgro
und &
Applic
ations,B
russels
, F
ebru
ary
2008
Fir
e D
esig
n S
teel
Str
uctu
res -
Lit
era
ture
EUROCODE 5 - 1.2 TIMBER STRUCTURES
H. Hartl University Innsbruck
J. Fornather
Austrian Standards Institute
Brussels, 18-20 February 2008 – Dissemination of information workshop 1
EUROCODESBackground and Applications
Structural fire design Eurocode 5-1.2
Timber structures
Hans Hartl
University Innsbruck / Austria
Your logo
Brussels, 18-20 February 2008 – Dissemination of information workshop 2
EUROCODESBackground and Applications Structural fire design – timber - sections
7 Chapters :
1. General2. Basis of design3. Material properties4. Design procedure for mechanical properties5. Design procedure for wall and floor assemblies6. Connections7. Detailing
Brussels, 18-20 February 2008 – Dissemination of information workshop 3
EUROCODESBackground and Applications Structural fire design – timber - annexes
6 Annexes :
A : (informative) Parametric fire exposureB : (informative) Advanced calculation modelsC : (informative) Load-bearing floor joists and wall
studs in assemblies whose cavities are completely filled with insulation
D : (informative) Charring of members in wall and floor assemblies with void cavities
E : (informative) Analysis of the separating function of wall and floor assemblies
F : (informative) Guidance for users of this Eurocoe Part
Brussels, 18-20 February 2008 – Dissemination of information workshop 4
EUROCODESBackground and Applications Structural fire design – timber - verification
2.4 Verification methods2.4.1 GeneralEd,fi ≤ Rd,t,fi2.4.2 Member analysis
Ed,fi =ηfiEd ηfi = f(Gk, Qk, γ, ψ)
Brussels, 18-20 February 2008 – Dissemination of information workshop 5
EUROCODESBackground and Applications Structural fire design – timber – R&D
Some research work has been carried out:
Such as in the fields of• Material properties and resistances • Some Design procedures for mechanical resistance• and others which will be subject to the following paper
Still more R&D has to be done
This will partially be covered by the following project:
Brussels, 18-20 February 2008 – Dissemination of information workshop 6
EUROCODESBackground and Applications Structural fire design - FireInTimber
FireInTimber – Partners and countries:SP Trätek – Sweden VTT – FinnlandTUM, DGfH – Germany BPU, CSTB FranceTreSenteret – Norway BRE – UKHFA, UIBK, TUW – Austria ETH Zuerich – SwitzerlandResand – Estonia
European industry: CEI-Bois / [email protected]
Brussels, 18-20 February 2008 – Dissemination of information workshop 7
EUROCODESBackground and Applications Structural fire design – timber - FireInTimber
Expected results:
• Analytical design concepts for load-bearing timber structures under fire conditions
• New models for load-bearing solid wood cross laminated panel and light weight structures during fire exposure
• Performance principles of connections at fire exposure
• Guidance on joints between wall and ceiling elements and on fire stops within structures
Brussels, 18-20 February 2008 – Dissemination of information workshop 8
EUROCODESBackground and Applications Structural fire design – timber - FireInTimber
Expected results:
• Critically reviewed novel innovative products and summary of new knowledge for product development
• The first European wide guideline on the fire safe use of wood in buildings.
Brussels, 18-20 February 2008 – Dissemination of information workshop 9
EUROCODESBackground and Applications Structural fire design – timber - FireInTimber
FireInTimber :
• a new project within the European WoodWisdom-Net framework
• with 14 participants from 9 countries• the project has started in November 2007 and will
be finalised by the end of 2009 • It is supported by industry through the European
initiative BWW and public funding organisations.
Brussels, 18-20 February 2008 – Dissemination of information workshop 10
EUROCODESBackground and Applications Structural fire design – timber – EN 1995 – 1.2
Eurocode 5, part 1 . 2 :
In the following paper today’s status as well as up to date findings will be presented by JochenFornather.
Thank you very much for your attention!
Brussels, 18-20 February 2008 – Dissemination of information workshop 1
EUROCODESBackground and Applications
Structural fire design Eurocode 5-1.2
Timber structures
Jochen Fornather
Austrian Standards Institute
Brussels, 18-20 February 2008 – Dissemination of information workshop 2
EUROCODESBackground and Applications Scope of EN 1995-1-2
EN 1995-1-2• shows the design of timber structures for
the accidental situation of fire exposure• to be used in conjunction with EN 1995-1-1
and EN 1991-1-2.• only identifies differences from, or
supplements normal temperature design.• deals only with passive methods of fire
protection• applies to building structures with load-
bearing function and/or separating function
Brussels, 18-20 February 2008 – Dissemination of information workshop 3
EUROCODESBackground and Applications Design procedure (1)
Brussels, 18-20 February 2008 – Dissemination of information workshop 4
EUROCODESBackground and Applications Design procedure (2)
Annex A:Charring rates and charring depths
Brussels, 18-20 February 2008 – Dissemination of information workshop 5
EUROCODESBackground and Applications Basis of design (1)
Basic requirements• mechanical resistance• fire compartmentation• deformation criteria
Requirements (R, E, I) concerning• nominal fire exposure• parametric fire exposure
same as EN 1991-1-2
Actionssee EN 1991-1-2
• emissivity coefficient of wood surfaces: e = 0,8
Brussels, 18-20 February 2008 – Dissemination of information workshop 6
EUROCODESBackground and Applications Basis of design (2)
Design values of material properties and resistances
Brussels, 18-20 February 2008 – Dissemination of information workshop 7
EUROCODESBackground and Applications Basis of design (2)
Design values of material properties and resistances
Brussels, 18-20 February 2008 – Dissemination of information workshop 8
EUROCODESBackground and Applications Basis of design (3)
Verification methods
Brussels, 18-20 February 2008 – Dissemination of information workshop 9
EUROCODESBackground and Applications Material properties
Mechanical properties• simplified methods for cross section and timber frame
members in wall and floor assemblies completely filled with insulation
• advanced calculation methods.Thermal properties
Charring (depth)• for all surfaces of wood and wood-based panels directly
exposed to fire, • for surfaces initially protected from exposure and
charring occurs during the relevant time of fire exposure.
Brussels, 18-20 February 2008 – Dissemination of information workshop 10
EUROCODESBackground and Applications Material properties: Charring (1)
Surfaces unprotected throughout the time of fire exposure•one-dimensional charring
•notional charring
dchar,0
Brussels, 18-20 February 2008 – Dissemination of information workshop 11
EUROCODESBackground and Applications Material properties: Charring (2)
Brussels, 18-20 February 2008 – Dissemination of information workshop 12
EUROCODESBackground and Applications Material properties: Charring (3)
Charring for panels with other densities than ρ = 450 kg/m3 and smaller thickness hp = 20 mm
Example:OSB – panel: ρk = 700 kg/m³hp = 20 mm ßo,ρ,t = 0,72 mm/minhp = 12 mm ßo,ρ,t = 0,93 mm/min
Brussels, 18-20 February 2008 – Dissemination of information workshop 13
EUROCODESBackground and Applications Material properties: Charring (4)
Surfaces of beams and columns initially protected from fire exposure•the start of charring is delayed until time tch;•charring may commence prior to failure of the fire protection, but at a lower rate than the described charring rates until failure time tf of the fire protection;•after failure time tf of the fire protection, the charring rate is increased above the shown values until the time tadescribed below;•at the time ta when the charring depth equals either the charring depth of the same member without fire protection or 25 mm whichever is the lesser, the charring rate reverts to the described value.
Brussels, 18-20 February 2008 – Dissemination of information workshop 14
EUROCODESBackground and Applications Material properties: Charring (5)
Surfaces of beams and columns initially protected from fire exposure
Brussels, 18-20 February 2008 – Dissemination of information workshop 15
EUROCODESBackground and Applications Material properties: Charring (6)
Surfaces of beams and columns initially protected from fire exposure
Brussels, 18-20 February 2008 – Dissemination of information workshop 16
EUROCODESBackground and Applications Design procedures for mechanical resistance
Simplified rules for determining cross-sectional properties - Reduced cross-section method
kmod,fi = 1,0
k0: unprotected surface
k0: intial protected surface
Brussels, 18-20 February 2008 – Dissemination of information workshop 17
EUROCODESBackground and Applications Design procedures for mechanical resistance
Simplified rules for determining cross-sectional properties - Reduced properties method
kmod,fi = f (ρ/Ar and strength, stiffness)
•apply only to rectangular cross-sectionsof softwood exposed to fire onthree or four sides and •round cross-sections exposed along their whole perimeter.
kmod,fi (t equal or greater 20 min):
Brussels, 18-20 February 2008 – Dissemination of information workshop 18
EUROCODESBackground and Applications Design procedures for mechanical resistance
Simplified rules for analysis of structural members and components
General– Compression perpendicular to the grain may be disregarded.– Shear may be disregarded in rectangular and circular cross-
sections.Beams, columns
– bracing fails should be consideredMechanically jointed members
– reduction in slip moduli in the fire situation shall be taken into account
Bracings
Brussels, 18-20 February 2008 – Dissemination of information workshop 19
EUROCODESBackground and Applications Design procedures for mechanical resistance
Advanced calculation methods• for determination of the mechanical resistance
and the separating function shall provide a realistic analysis of structures exposed to fire,
• based on fundamental physical behaviour to lead to a reliable approximation of the expected behaviour of the relevant structural component under fire conditions.
Brussels, 18-20 February 2008 – Dissemination of information workshop 20
EUROCODESBackground and Applications Design procedures for wall and floor assemblies
Analysis of load-bearing function• shall be designed for fire exposure on both
sides at the same time.
Analysis of separating function• take into account the contributions of different
material components and their position in the assembly.
Brussels, 18-20 February 2008 – Dissemination of information workshop 21
EUROCODESBackground and Applications Connections (1)
•applies to connections between members under standard fire exposure, for fire resistances not exceeding 60 min.
Connections with side members of woodSimplified rules - unprotected connections
Brussels, 18-20 February 2008 – Dissemination of information workshop 22
EUROCODESBackground and Applications Connections (2)
Connections with side members of woodSimplified rules - unprotected connections•greater tdfi is possible (not more than 30 min) by increasing the following dimensions by afi:
–the thickness of side members,–the width of the side members,–the end and edge distance to fasteners.
•kflux = 1,5
Brussels, 18-20 February 2008 – Dissemination of information workshop 23
EUROCODESBackground and Applications Connections (3)
Connections with side members of woodSimplified rules - protected connections
Brussels, 18-20 February 2008 – Dissemination of information workshop 24
EUROCODESBackground and Applications Connections (4)
Connections with side members of woodAdditional rules for connections with internal steel plates
Brussels, 18-20 February 2008 – Dissemination of information workshop 25
EUROCODESBackground and Applications Connections (5)
Connections with side members of woodReduced load methodUnprotected wood
Protected wood
Brussels, 18-20 February 2008 – Dissemination of information workshop 26
EUROCODESBackground and Applications Connections (6)
Connections with external steel plates•unprotected•protected
Simplified rules for axially loaded screws•design resistance of the screws•conversion factor η
Brussels, 18-20 February 2008 – Dissemination of information workshop 27
EUROCODESBackground and Applications Detailing
Walls and floors•Dimensions and spacings
•Detailing of panel connections
•Insulation
•Other elements
Brussels, 18-20 February 2008 – Dissemination of information workshop 28
EUROCODESBackground and Applications
Thank you very much for your attention!
Contact:[email protected]
EUROCODE 9 - ALUMINIUM ALLOYS STRUCTURES
N. Forsén
Multiconsult
EURO
CO
DES
Bac
kgro
und
and
appl
icat
ion
Wor
ksho
p Br
usse
ls 1
8-20
Feb
ruar
y 20
08
Nils
E F
ORS
ÉN M
ultic
onsu
lt AS
, Nor
way
1
Brus
sels
, 18-
20 F
ebru
ary
2008
–D
isse
min
atio
n of
info
rmat
ion
wor
ksho
p1
Bac
kgro
und
and
Appl
icat
ions
EUR
OC
OD
ES
Stru
ctur
al F
ire D
esig
n of
A
lum
iniu
m S
truc
ture
sac
cord
ing
to E
uroc
ode
9 Pa
rt 1
-2
Nils
E. F
OR
SÉ
NM
ultic
onsu
lt A
S, N
orw
ayS
ecre
tary
CE
N T
C 2
50 /
SC
9 1
992-
2007
and
mem
ber o
f the
EN
V P
T fo
r stru
ctur
al fi
re d
esig
n of
alu
min
ium
stru
ctur
es
Brus
sels
, 18-
20 F
ebru
ary
2008
–D
isse
min
atio
n of
info
rmat
ion
wor
ksho
p2
EUR
OC
OD
ESB
ackg
roun
d an
d A
pplic
atio
nsEC
9 –
1.2
: Alu
min
ium
str
uctu
res
-fire
Ack
now
ledg
emen
ts:
•Le
en T
wilt
(Con
veno
r), t
he N
ethe
rland
s •
Stei
nar L
undb
erg
(Tec
hnic
al S
ecre
tary
), N
orw
ay
As
mai
n co
ntrib
utor
s in
pre
parin
g EC
9 –
1.2
Brus
sels
, 18-
20 F
ebru
ary
2008
–D
isse
min
atio
n of
info
rmat
ion
wor
ksho
p3
EUR
OC
OD
ESB
ackg
roun
d an
d A
pplic
atio
nsEC
9 –
1.2
: Alu
min
ium
str
uctu
res
-fire
Alu
min
ium
str
uctu
res
and
fire:
•M
ost a
lum
iniu
m a
lloys
hav
e lo
st a
bout
50%
of th
eir
orig
inal
str
engt
h at
abo
ut 1
80 -
250°
C•
Alu
min
ium
allo
ys m
elta
t abo
ut 5
80 -
660°
C•
Alu
min
ium
allo
y st
ruct
ures
with
a fi
re re
sist
ance
re
quire
men
twill
hav
e to
be
insu
late
d•
The
insu
latio
nre
pres
ents
a m
ain
part
of th
e fir
e re
sist
ance
con
cept
•A
lum
iniu
m s
truc
ture
s ca
n al
so b
e us
ed u
npro
tect
ed
whe
n ap
prop
riate
in a
fire
saf
ety
stra
tegy
, e.g
. ch
ecke
d fo
r rad
iatio
n fr
om a
flar
e bo
om
Brus
sels
, 18-
20 F
ebru
ary
2008
–D
isse
min
atio
n of
info
rmat
ion
wor
ksho
p4
EUR
OC
OD
ESB
ackg
roun
d an
d A
pplic
atio
nsEC
9 –
1.2
: Alu
min
ium
str
uctu
res
-fire
Fire
rate
d al
umin
ium
str
uctu
res:
•W
ell k
now
n in
the
off-s
hore
indu
stry
, e.g
. liv
ing
quar
ters
with
R60
/REI
60 –
H12
0 st
ruct
ures
/par
titio
ns•
Less
com
mon
in th
e bu
ildin
g m
arke
t, ho
wev
er
hous
ing
stru
ctur
es w
ith R
15 –
R30
pro
tect
ed
alum
iniu
m s
truc
tura
l ele
men
ts h
ave
been
con
ceiv
ed•
Unp
rote
cted
alu
min
ium
str
uctu
res
are
set t
o R
0
EURO
CO
DES
Bac
kgro
und
and
appl
icat
ion
Wor
ksho
p Br
usse
ls 1
8-20
Feb
ruar
y 20
08
Nils
E F
ORS
ÉN M
ultic
onsu
lt AS
, Nor
way
2
Brus
sels
, 18-
20 F
ebru
ary
2008
–D
isse
min
atio
n of
info
rmat
ion
wor
ksho
p5
EUR
OC
OD
ESB
ackg
roun
d an
d A
pplic
atio
nsEC
9 –
1.2
: Alu
min
ium
str
uctu
res
-fire
Brus
sels
, 18-
20 F
ebru
ary
2008
–D
isse
min
atio
n of
info
rmat
ion
wor
ksho
p6
EUR
OC
OD
ESB
ackg
roun
d an
d A
pplic
atio
nsEC
9 –
1.2
: Alu
min
ium
str
uctu
res
-fire
Flar
e bo
om
Brus
sels
, 18-
20 F
ebru
ary
2008
–D
isse
min
atio
n of
info
rmat
ion
wor
ksho
p7
EUR
OC
OD
ESB
ackg
roun
d an
d A
pplic
atio
nsEC
9 –
1.2
: Alu
min
ium
str
uctu
res
-fire
EC 9
Par
t 1.2
pro
vide
•M
echa
nica
l and
ther
mal
pro
pert
ies
for a
lum
iniu
m
allo
ys a
t ele
vate
d te
mpe
ratu
res
•M
etho
dolo
gy fo
r str
uctu
ral f
ire d
esig
n in
line
with
EC
3 Pa
rt 1
.2, d
iffer
ing
from
this
how
ever
in th
at–
EC
9 g
ive
stre
ngth
dat
a fo
r a v
arie
ty o
f allo
ys–
Non
-line
ar s
tress
stra
in re
latio
nshi
ps a
re n
ot g
iven
–
E.g
. des
ign
proc
edur
e le
ss c
ompr
ehen
sive
com
pare
d to
wha
t is
poss
ible
for s
teel
stru
ctur
es
Brus
sels
, 18-
20 F
ebru
ary
2008
–D
isse
min
atio
n of
info
rmat
ion
wor
ksho
p8
EUR
OC
OD
ESB
ackg
roun
d an
d A
pplic
atio
ns
•R
espo
nden
ts: 2
cou
ntrie
s on
ly, F
inla
nd a
nd S
wed
en
•To
tal n
umbe
r 32,
edi
toria
l 7, t
echn
ical
25
•Tr
eate
d by
PT
in th
e co
nver
sion
per
iod
•Fu
rthe
r im
prov
emen
ts/u
pdat
ing
intr
oduc
ed b
y th
e PT
(Tw
ilt/L
undb
erg)
•Ed
itoria
l cha
nges
intr
oduc
ed b
y th
e ed
iting
pan
el in
th
e fin
al s
tage
Com
men
ts re
ceiv
ed a
fter E
NV-
perio
d
EC9
–1.
2 : A
lum
iniu
m s
truc
ture
s -f
ire
EURO
CO
DES
Bac
kgro
und
and
appl
icat
ion
Wor
ksho
p Br
usse
ls 1
8-20
Feb
ruar
y 20
08
Nils
E F
ORS
ÉN M
ultic
onsu
lt AS
, Nor
way
3
Brus
sels
, 18-
20 F
ebru
ary
2008
–D
isse
min
atio
n of
info
rmat
ion
wor
ksho
p9
EUR
OC
OD
ESB
ackg
roun
d an
d A
pplic
atio
nsEC
9 –
1.2
: Alu
min
ium
str
uctu
res
-fire
f o,θ
= k o
,θ⋅f
o
whe
ref o,
θis
0,2
pro
of s
treng
th a
t ele
vate
d te
mpe
ratu
ref o
is 0
,2 p
roof
stre
ngth
at r
oom
tem
pera
ture
acc
ordi
ng to
EN
199
9-1-
1.
For t
herm
al e
xpos
ure
up to
2 ho
urs,
the
0,2
% p
roof
st
reng
th a
t ele
vate
d te
mpe
ratu
re o
f the
alu
min
um a
lloys
fo
llow
s fr
om:
MA
TER
IAL
PRO
PER
TIES
-M
ECH
AN
ICA
L
Brus
sels
, 18-
20 F
ebru
ary
2008
–D
isse
min
atio
n of
info
rmat
ion
wor
ksho
p10
EUR
OC
OD
ESB
ackg
roun
d an
d A
pplic
atio
nsEC
9 –
1.2
: Alu
min
ium
str
uctu
res
-fire
1)Th
e va
lues
may
be
appl
ied
also
for t
empe
r H24
/H34
/H12
/H32
2)Th
e va
lues
may
be
appl
ied
also
for t
empe
r H12
/H22
/H32
3)Th
e va
lues
may
be
appl
ied
also
for t
empe
r H22
/H32
4)Th
e va
lues
may
be
appl
ied
also
for E
N A
W-6
060
T6 a
nd T
665)
The
valu
es d
o no
t inc
lude
an
incr
ease
in s
treng
th d
ue to
agi
ng e
ffect
s. It
is re
com
men
ded
to ig
nore
suc
h ef
fect
s.
00,
110,
200,
380,
650,
790,
901,
00T6
EN
AW
-608
2
00,
190,
340,
770,
770,
841,
001,
00T4
5)E
N A
W-6
082
00,
090,
190,
380,
710,
840,
911,
00T6
4)E
N A
W-6
063
00,
140,
290,
490,
760,
870,
921,
00T5
EN
AW
-606
3
00,
100,
310,
550,
790,
910,
951,
00T6
EN
AW
-606
1
00,
150,
240,
340,
580,
851,
001,
00H
34E
N A
W-5
454
00,
210,
320,
500,
880,
961,
001,
00O
EN
AW
-545
4
00,
100,
160,
310,
600,
801,
001,
00H
123)
EN
AW
-508
3
00,
220,
400,
750,
900,
981,
001,
00O
EN
AW
-508
3
00,
120,
200,
290,
520,
921,
001,
00H
342)
EN
AW
-505
2
00,
100,
190,
370,
660,
870,
931,
00H
141)
EN
AW
-500
5
00,
390,
580,
821,
001,
001,
001,
00O
EN
AW
-500
5
00,
130,
190,
310,
570,
981,
001,
00H
34E
N A
W-3
004
550
350
300
250
200
150
100
20
Alu
min
ium
allo
y te
mpe
ratu
re C
Tem
per
Allo
y
Rat
ios
k o,θ
for a
lum
iniu
m a
lloys
at e
leva
ted
tem
pera
ture
fo
r up
to 2
hou
rs th
erm
al e
xpos
ure
perio
d
Brus
sels
, 18-
20 F
ebru
ary
2008
–D
isse
min
atio
n of
info
rmat
ion
wor
ksho
p11
EUR
OC
OD
ESB
ackg
roun
d an
d A
pplic
atio
nsEC
9 –
1.2
: Alu
min
ium
str
uctu
res
-fire
00,
060,
110,
230,
500,
750,
901,
00Lo
wer
lim
it va
lues
550
350
300
250
200
150
100
20
Alu
min
ium
allo
y te
mpe
ratu
re C
Low
er li
mits
of th
e 0,
2% p
roof
str
engt
h ra
tios
k o,θ
for
alum
iniu
m a
lloys
at e
leva
ted
tem
pera
ture
for u
p to
2
hour
s th
erm
al e
xpos
ure
perio
d
Brus
sels
, 18-
20 F
ebru
ary
2008
–D
isse
min
atio
n of
info
rmat
ion
wor
ksho
p12
EUR
OC
OD
ESB
ackg
roun
d an
d A
pplic
atio
nsEC
9 –
1.2
: Alu
min
ium
str
uctu
res
-fire
055
0
28 0
0040
0
37 8
0035
0
47 6
0030
0
54 6
0025
0
60 2
0020
0
65 1
0015
0
67 9
0010
0
69 3
0050
70 0
0020
Mod
ulus
of
elas
ticity
, Eal
,θ(N
/mm
²)
Alu
min
ium
allo
y te
mpe
ratu
re,θ
(°C
)
Mod
ulus
of e
last
icity
of a
lum
iniu
m a
lloys
at e
leva
ted
tem
pera
ture
for a
two
hour
ther
mal
exp
osur
e pe
riod,
E al
,θ
EURO
CO
DES
Bac
kgro
und
and
appl
icat
ion
Wor
ksho
p Br
usse
ls 1
8-20
Feb
ruar
y 20
08
Nils
E F
ORS
ÉN M
ultic
onsu
lt AS
, Nor
way
4
Brus
sels
, 18-
20 F
ebru
ary
2008
–D
isse
min
atio
n of
info
rmat
ion
wor
ksho
p13
EUR
OC
OD
ESB
ackg
roun
d an
d A
pplic
atio
nsEC
9 –
1.2
: Alu
min
ium
str
uctu
res
-fire
0
0,1
0,3
0,4
0,5
0,6
0,7 0
0,2
0,8
1,0
0,9
500
400
300
200
100
6061
-T6
6063
-T5
E
6063
-T6
6082
-T6
6082
-T4
θ al /
°C
k o,θ
E al,θ
E al
3004
-H34
Brus
sels
, 18-
20 F
ebru
ary
2008
–D
isse
min
atio
n of
info
rmat
ion
wor
ksho
p14
EUR
OC
OD
ESB
ackg
roun
d an
d A
pplic
atio
nsEC
9 –
1.2
: Alu
min
ium
str
uctu
res
-fire
•Th
e N
27 d
ocum
ent i
s av
aila
ble
at th
is w
ork
shop
•R
efer
s in
tern
atio
nal t
est d
ata
•Su
mm
ariz
es th
e m
ain
back
grou
nd fo
r the
str
engt
h da
ta g
iven
in E
C9
Part
1.2
Brus
sels
, 18-
20 F
ebru
ary
2008
–D
isse
min
atio
n of
info
rmat
ion
wor
ksho
p15
EUR
OC
OD
ESB
ackg
roun
d an
d A
pplic
atio
nsEC
9 –
1.2
: Alu
min
ium
str
uctu
res
-fire
OB
SER
VE T
HA
T
•St
reng
th d
ata
are
base
d on
the
0,2
proo
f str
ess
-onl
y •
Mod
ulus
of e
last
icity
is g
iven
the
sam
e te
mpe
ratu
re d
epen
dent
redu
ctio
n fa
ctor
for a
ll al
loys
•N
o st
ress
-str
ain
rela
tions
hips
are
giv
en fo
r the
pl
astic
rang
e•
The
mod
ulus
of e
last
icity
in th
e cr
itica
l te
mpe
ratu
re ra
nge
is re
lativ
ely
less
redu
ced
com
pare
d to
the
stre
ngth
redu
ctio
n•
Hig
h te
mpe
ratu
re c
reep
is n
ot e
xplic
itly
give
n
Brus
sels
, 18-
20 F
ebru
ary
2008
–D
isse
min
atio
n of
info
rmat
ion
wor
ksho
p16
EUR
OC
OD
ESB
ackg
roun
d an
d A
pplic
atio
nsEC
9 –
1.2
: Alu
min
ium
str
uctu
res
-fire
MA
TER
IAL
PRO
PER
TIES
-TH
ERM
AL
Ther
mal
str
ain
Com
pare
:
Alu
min
ium
at 2
00 °C
: 0,0
044,
ste
el a
t 500
°C: 0
,006
75, a
lso:
Ela
stic
ity
mod
ulus
less
than
for s
teel
–re
stra
int l
oads
cor
resp
ondi
ngly
less
EURO
CO
DES
Bac
kgro
und
and
appl
icat
ion
Wor
ksho
p Br
usse
ls 1
8-20
Feb
ruar
y 20
08
Nils
E F
ORS
ÉN M
ultic
onsu
lt AS
, Nor
way
5
Brus
sels
, 18-
20 F
ebru
ary
2008
–D
isse
min
atio
n of
info
rmat
ion
wor
ksho
p17
EUR
OC
OD
ESB
ackg
roun
d an
d A
pplic
atio
nsEC
9 –
1.2
: Alu
min
ium
str
uctu
res
-fire
200
600
800
1000
1200 0
400
500
400
300
200
100
0θ a
l / °C
c al /
(J/k
g°C
)
Spec
ific
heat
Brus
sels
, 18-
20 F
ebru
ary
2008
–D
isse
min
atio
n of
info
rmat
ion
wor
ksho
p18
EUR
OC
OD
ESB
ackg
roun
d an
d A
pplic
atio
nsEC
9 –
1.2
: Alu
min
ium
str
uctu
res
-fire
alum
iniu
m
Ther
mal
cap
acity
–in
com
paris
on…
..
Brus
sels
, 18-
20 F
ebru
ary
2008
–D
isse
min
atio
n of
info
rmat
ion
wor
ksho
p19
EUR
OC
OD
ESB
ackg
roun
d an
d A
pplic
atio
nsEC
9 –
1.2
: Alu
min
ium
str
uctu
res
-fire
Con
duct
ivity
in c
ompa
riso
n
050100
150
200
250
2050
100
150
200
250
300
350
400
450
500
Tem
pera
ture
C
W/m K
Ste
elAl
umin
ium
Brus
sels
, 18-
20 F
ebru
ary
2008
–D
isse
min
atio
n of
info
rmat
ion
wor
ksho
p20
EUR
OC
OD
ESB
ackg
roun
d an
d A
pplic
atio
nsEC
9 –
1.2
: Alu
min
ium
str
uctu
res
-fire
OB
SER
VE T
HA
T
•A
lum
iniu
m h
as a
con
duct
ivity
sign
ifica
ntly
hig
her t
han
that
of s
teel
–be
nefic
ial w
rtdi
strib
utio
n of
hea
t inp
ut•
The
heat
cap
acity
(per
m3 )
is s
omew
hat l
ower
com
pare
d to
that
of s
teel
, how
ever
, loo
king
at g
iven
str
uctu
res
(alu
min
ium
vs
stee
l) w
ith th
e sa
me
func
tion,
the
heat
ca
paci
ty is
abo
ut th
e sa
me
beca
use
defle
ctio
n co
ntro
l of
ten
gove
rns
the
desi
gn fo
r an
alum
iniu
m s
truc
ture
.
EURO
CO
DES
Bac
kgro
und
and
appl
icat
ion
Wor
ksho
p Br
usse
ls 1
8-20
Feb
ruar
y 20
08
Nils
E F
ORS
ÉN M
ultic
onsu
lt AS
, Nor
way
6
Brus
sels
, 18-
20 F
ebru
ary
2008
–D
isse
min
atio
n of
info
rmat
ion
wor
ksho
p21
EUR
OC
OD
ESB
ackg
roun
d an
d A
pplic
atio
nsEC
9 –
1.2
: Alu
min
ium
str
uctu
res
-fire
The
non-
linea
r tra
nsie
nt th
erm
al a
naly
sis
•So
lutio
n of
Fou
rier's
equ
atio
n by
FEM
•Th
erm
al p
rope
rtie
s of
insu
latio
n pr
oduc
t m
ore
sign
ifica
nt th
an th
ose
of a
lum
iniu
m
(c(θ
), λ
(θ))
wrt
resu
lts•
Exam
ple:
I be
am in
sula
ted
with
100
mm
R
ockw
ool1
10kg
/m3
Brus
sels
, 18-
20 F
ebru
ary
2008
–D
isse
min
atio
n of
info
rmat
ion
wor
ksho
p22
EUR
OC
OD
ESB
ackg
roun
d an
d A
pplic
atio
nsEC
9 –
1.2
: Alu
min
ium
str
uctu
res
-fire
Brus
sels
, 18-
20 F
ebru
ary
2008
–D
isse
min
atio
n of
info
rmat
ion
wor
ksho
p23
EUR
OC
OD
ESB
ackg
roun
d an
d A
pplic
atio
nsEC
9 –
1.2
: Alu
min
ium
str
uctu
res
-fire
Fire
pro
tect
ion
mat
eria
ls
•Th
e pr
oper
ties
and
perf
orm
ance
of f
ire p
rote
ctio
n m
ater
ials
use
d in
des
ign
shou
ld b
e as
sess
ed a
s to
ve
rify
that
the
fire
prot
ectio
n re
mai
ns c
oher
ent a
nd
cohe
sive
to it
s su
ppor
tthr
ough
out t
he re
leva
nt fi
re
expo
sure
. •
The
verif
icat
ion
of th
e pr
oper
ties
of p
rote
ctio
n m
ater
ials
is g
ener
ally
per
form
ed b
y te
sts.
Pr
esen
tly th
ere
are
no E
urop
ean
stan
dard
for
test
ing
of s
uch
mat
eria
ls in
con
nect
ion
with
al
umin
ium
str
uctu
res.
An
illus
trat
ion
of s
uch
test
ap
plic
able
to fi
re p
rote
cted
ste
el s
truc
ture
sis
gi
ven
in E
NV
1338
1-4.
Brus
sels
, 18-
20 F
ebru
ary
2008
–D
isse
min
atio
n of
info
rmat
ion
wor
ksho
p24
EUR
OC
OD
ESB
ackg
roun
d an
d A
pplic
atio
nsEC
9 –
1.2
: Alu
min
ium
str
uctu
res
-fire
Obs
erve
For f
ire p
rote
cted
str
uctu
res
the
inte
grity
of th
e in
sula
tion
syst
em is
th
eore
tical
ly le
ss c
halle
nged
as lo
ng
as th
e st
rain
leve
lsar
e ke
pt a
t a
mod
erat
ele
vel (
as fo
r alu
min
ium
, pr
ovid
ed th
at h
igh
tem
pera
ture
cre
epdo
es n
ot b
ecom
e si
gnifi
cant
) th
roug
hout
the
fire
expo
sure
EURO
CO
DES
Bac
kgro
und
and
appl
icat
ion
Wor
ksho
p Br
usse
ls 1
8-20
Feb
ruar
y 20
08
Nils
E F
ORS
ÉN M
ultic
onsu
lt AS
, Nor
way
7
Brus
sels
, 18-
20 F
ebru
ary
2008
–D
isse
min
atio
n of
info
rmat
ion
wor
ksho
p25
EUR
OC
OD
ESB
ackg
roun
d an
d A
pplic
atio
nsEC
9 –
1.2
: Alu
min
ium
str
uctu
res
-fire
Stru
ctur
al fi
re d
esig
n
E fi,d≤
Rfi,
d,t
•Te
nsio
nm
embe
rsan
d be
ams:
”Str
aigt
hfo
rwar
d”•
Col
umns
: Red
uctio
nfa
ctor
1,2
to ta
keac
coun
tofh
igh
tem
pera
ture
cree
p
Brus
sels
, 18-
20 F
ebru
ary
2008
–D
isse
min
atio
n of
info
rmat
ion
wor
ksho
p26
EUR
OC
OD
ESB
ackg
roun
d an
d A
pplic
atio
nsEC
9 –
1.2
: Alu
min
ium
str
uctu
res
-fire
Cla
ssifi
catio
n of
cro
ss-s
ectio
ns
•In
a fi
re d
esig
n si
tuat
ion,
cro
ss-s
ectio
ns m
ay b
e cl
assi
fied
as fo
r nor
mal
tem
pera
ture
desi
gn a
ccor
ding
to
6.1
.4 in
EN
199
9-1-
1.•
This
rule
is b
ased
on
the
sam
e re
lativ
e dr
op in
the
0,2
% p
roof
str
engt
h an
d m
odul
us o
f ela
stic
ity. I
f th
e ac
tual
dro
p in
mod
ulus
of e
last
icity
is ta
ken
into
acc
ount
acc
ordi
ng to
Fig
ure
2, th
e cl
assi
ficat
ion
of th
e se
ctio
n ch
ange
s, a
nd a
larg
er
capa
city
val
ue o
f the
sec
tion
can
be c
alcu
late
d.
The
Nat
iona
l Ann
exm
ay g
ive
prov
isio
ns to
take
th
is in
to a
ccou
nt.
•C
onfe
r Bac
kgro
und
docu
men
t N26
Brus
sels
, 18-
20 F
ebru
ary
2008
–D
isse
min
atio
n of
info
rmat
ion
wor
ksho
p27
EUR
OC
OD
ESB
ackg
roun
d an
d A
pplic
atio
nsEC
9 –
1.2
: Alu
min
ium
str
uctu
res
-fire
RES
ISTA
NC
E
Tens
ion
mem
bers
Nfi,
t,Rd
= ∑
Aik o
,θ,if o/γ M
,fior
N
fi,θ,
Rd
= k o
,θN
Rd
(γM
x/γM
,fi)
Bea
ms
Mfi,
t,Rd
= ∑
Aiz i
k o,θ
,if o/γ M
,fior
Mfi,
t,Rd
= k o
,θm
axM
Rd
(γM
x/γM
,fi)
(acc
ordi
ngly
for t
orsi
onal
bend
ing
and
shea
r)
Col
umns
Nb,
fi,t,R
d=
k o,θ
,max
Nb,
Rd
(γM
1/1,2
γ M,fi)F
acto
r1,2
; Cre
epN
ote
also
poss
ible
to re
duce
buck
ling
leng
th, a
s in
EC
3 P
art 1
.2, t
hesa
me
met
hod
is g
iven
Brus
sels
, 18-
20 F
ebru
ary
2008
–D
isse
min
atio
n of
info
rmat
ion
wor
ksho
p28
EUR
OC
OD
ESB
ackg
roun
d an
d A
pplic
atio
nsEC
9 –
1.2
: Alu
min
ium
str
uctu
res
-fire
Furt
herm
ore:
•Lu
mpe
d m
ass
met
hod
for t
empe
ratu
re c
alcu
latio
n as
for s
teel
, for
unp
rote
cted
(mod
erat
e ra
diat
ion)
an
d pr
otec
ted
(ver
ified
test
dat
a ne
eded
) alu
min
ium
st
ruct
ures
, (no
w F
EM is
mor
e su
ited,
com
petit
ive)
•A
dvan
ced
calc
ulat
ion
met
hods
onl
y m
entio
ned
by
prin
cipl
e, m
ust b
e ba
sed
on c
ompr
ehen
sive
stu
dies
an
d ve
rifie
d m
ater
ial m
odel
s•
Hea
t tra
nsfe
r to
exte
rnal
stru
ctur
al a
lum
iniu
m
mem
bers
: Mat
eria
l ind
epen
dent
(ex
emis
sivi
ty)
stea
dy-s
tate
mod
el a
s fo
r ste
el
EURO
CO
DES
Bac
kgro
und
and
appl
icat
ion
Wor
ksho
p Br
usse
ls 1
8-20
Feb
ruar
y 20
08
Nils
E F
ORS
ÉN M
ultic
onsu
lt AS
, Nor
way
8
Brus
sels
, 18-
20 F
ebru
ary
2008
–D
isse
min
atio
n of
info
rmat
ion
wor
ksho
p29
EUR
OC
OD
ESB
ackg
roun
d an
d A
pplic
atio
nsEC
9 –
1.2
: Alu
min
ium
str
uctu
res
-fire
Sum
mar
y
-EC
9 Pa
rt 1
.2 o
ffers
a p
ragm
atic
and
pra
ctic
al
appr
oach
to d
esig
n fo
r fire
resi
stan
ce o
f al
umin
ium
str
uctu
res
-Th
e pr
otec
tion
syst
em re
pres
ents
a m
ain
part
of t
he fi
re re
sist
ance
con
cept
-A
ppro
ved
and
verif
ied
ther
mal
dat
a
c(θ)
, λ(θ
) for
use
with
FEM
are
nee
ded
from
th
e fir
e in
sula
tion
indu
stry
-In
tegr
ity o
f pro
tect
ion
syst
ems
can
be
verif
ied
only
thro
ugh
refe
renc
e to
test
s
Brus
sels
, 18-
20 F
ebru
ary
2008
–D
isse
min
atio
n of
info
rmat
ion
wor
ksho
p30
EUR
OC
OD
ESB
ackg
roun
d an
d A
pplic
atio
nsEC
9 –
1.2
: Alu
min
ium
str
uctu
res
-fire
Ref
eral
soht
tp://
ww
w.e
aa.n
et/e
aa/e
duca
tion/
TALA
T/le
ctu
res/
2502
,
THA
NK
YO
U F
OR
YO
UR
ATT
ENTI
ON