
Fire Design of Steel Structures
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For this second edition the content has been revised and extended. The book contains some new sections, e.g. a comparison between the simple and the advanced calculation, as well as additional examples.
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Person
Jean-Marc Franssen is Professor at the Department of Architecture, Geology, Environment and Construction of the University of Liege in Belgium. He is leading the group of fire safety engineering and is the Director of the Fire Resistance Laboratory. He is a member of the Technical Committee TC3 - Fire of ECCS. He founded the Structures in Fire (SiF) movement of which he is teh chairman of the Steering Committee. He was a member of the draft team of EN 1993-1-2.
Paulo Vila Real is Professor at the Dep. of Civil Engineering of the University of Aveiro in Portugal where he is the Director of the Fire Resistance Laboratory. He is a member of the Technical Committee TC3- Fire of ECCS and of the Steering Committee of the Structures in Fire (SiF) movement. In Portugal he is a member of the Technical Committee CT 115- Eurocodes where he was in charge of writing the National Annexes to the fire parts of the Eurocodes on actions, concrete, steel, composite and aluminium structures.
Content
Relations between different Eurocodes
Scope of EN 1993-1-2
Layout of the book
MECHANICAL LOADING
General
Examples
Indirect actions
THERMAL ACTION
General
Nominal temperature-time curves
Parametric temperature-time curves
Zone models
CFD models
Localized fires
External members
TEMPERATURE IN STEEL SECTIONS
Introduction
The heat conduction equation and its boundary conditions
Advanced calculation model. Finite element solution of the heat conduction equation
Section factor
Temperature of unprotected steelwork exposed to fire
Temperature of protected steelwork exposed to fire
Internal steelwork in a void protected by heat screens
External steelwork
View factors in the concave part of a steel profile
Temperature in steel members subjected to localized fires
Temperature in stainless steel members
MECHANICAL ANALYSIS
Basic principles
Mechanical properties of carbon steel
Classification of cross-sections
Effective cross-sections
Fire resistance of structural members
Design in the temperature domain. Critical temperature
Design of continuous beams
Fire resistance of structural stainless steel members
Design examples
ADVANCED CALCULATION MODELS
General
Thermal response model
Mechanical response model
Some comparisons between the simple and the advanced calculation models
JOINTS
General
Strength of bolts and welds at elevated temperature
Temperature of joints in fire
Bolted connections
Design fire resistance of welds
Design examples
THE COMPUTER PROGRAM "ELEFIR-EN"
General
Brief description of the program
Default constants used in the program
Design example
CASE STUDY
Description of case study
Fire resistance under standard fire
Fire resistance under natural fire
REFERENCES
ANNEX A THERMAL DATA FOR CARBON STEEL AND STAINLESS STEEL SECTIONS
A.1. Thermal properties of carbon steel
A.2. Section factor Am / V [m-1] for unprotected steel members
A.3. Section factor Ap / V [m-1] for protected steel members
A.4. Tables and nomograms for evaluating the temperature in unprotected steel members subjected to the standard fire curve ISO 834
A.5. Tables and nomograms for evaluating the temperature in protected steel members subjected to the standard fire curve ISO 834
A.6. Thermal properties of some fire protection materials
A.7. Thermal properties of stainless steel
A.8. Tables and nomograms for evaluating the temperature in unprotected stainless steel members subjected to the standard fire curve ISO 834
A.9. Thermal properties of some fire compartment lining materials
ANNEX B INPUT DATA FOR NATURAL FIRE MODELS
B.1. Introduction
B.2. Fire load density
B.3. Rate of heat release density
B.4. Ventilation control
B.5. Flash-over
ANNEX C MECHANICAL PROPERTIES OF CARBON STEEL AND STAINLESS STEEL
C.1 Mechanical properties of carbon steel
C.2. Mechanical properties of stainless steel
ANNEX D TABLES FOR SECTION CLASSIFICATION AND EFFECTIVE WIDTH EVALUATION
ANNEX E SECTION FACTORS OF EUROPEAN HOT ROLLED IPE AND HE PROFILES
ANNEX F CROSS-SECTIONAL CLASSIFICATION OF EUROPEAN HOT ROLLED IPE AND HE PROFILES
F.1. Cross-sectional classification for pure compression and pure bending
F.2. Cross-sectional classification for combined, compression and bending moment
NOTATIONS
Latin lower case letters
b material parameter in the walls, width of a steel section, width of a plate c specific heat, width of a plate in an open steel section ca specific heat of steel cp specific heat of protection material d diameter of a circular hollow section deq characteristic size of a structural member df flame thickness dp thickness of a fire protection material f factor for the effect of non-uniform bending moment distribution on lateral torsional buckling fb stress due to bending moment fc stress due to axial force f0.2p,? 0.2% proof strength fp,? limit of proportionality of steel at temperature ? fu ultimate strength at 20 ºC fu,? ultimate strength of steel at temperature ? fy yield strength at 20 ºC fy,? effective yield strength of steel at temperature ? h height of an opening, height of a radiating surface, height of a steel section, height of a component being considered above the bottom of the beam impinging heat flux heat flux at the surface of a steel element heq averaged height of the vertical openings hw depth of the web i radius of gyration of a cross section k multiplication factor in the parametric fire model k2%,? correction factor for the determination of the yield strength of stainless steel at elevated temperature kb,? reduction factor for bolts kp0.2? reduction factor for the 0.2% proof strength kE,? reduction factor for the Young's modulus kE,?,com reduction factor for the Young's modulus at the maximum steel temperature in the compression flange kp,? reduction factor for the limit of proportionality ksh correction factor for the shadow effect ku,? reduction factor for tensile strength of stainless steel at elevated temperature kw effective length factor referring to end warping kw,? reduction factor for welds ky,? reduction factor for the effective yield strength ky,?,com reduction factor for the yield strength of steel at the maximum temperature in the compression flange ky,?,web reduction factor for the yield strength at the web temperature ?web kz effective length factor referring to end rotation on plan k? reduction factor for a strength or deformation property ks plate buckling factor l length of a member lfi buckling length in fire situation p moisture content of a protection material qc heat flux by convection qcr combine heat flux by convection and radiation qEd design value of a distributed load in the normal situation qf,d design value of the fire load density related to the floor area qfi,Ed design value of a distributed load in the fire situation qr heat flux by radiation qt,d design value of the fire load density related to the total area of enclosure r horizontal distance from the fire plume, distance between an emitting an a receiving surface, root fillet t time, thickness of the walls in a hollow section, plate thickness in general t* expanded time in the parametric fire model tf flange thickness tfi,d design value of the fire resistance tfi,req required fire resistance time tlim limit time in the parametric fire model tmax duration of the heating phase in the parametric fire model tv length of the horizontal plateau in a heating curve tw thickness of the web w width of a radiating surface wt sum of the window widths x cartesian coordinate y parameter in a localised fire model, cartesian coordinate z vertical elevation in a fire plume z' vertical position of the virtual heat source zg level of the application of the load zi distance from the plastic neutral axis to the centroid of an elemental area z0 vertical position of the virtual origin of the fire sourceLatin upper case letters
A area of a wall, cross section area of a steel member, surface area of a member exposed to the heat flux Ac gross cross sectional area of a plate Ac,eff effective area of the compression zone of a plate Ad indirect fire actions Am surface area of a member exposed to the heat flux Am/V section factor of unprotected sections Ap/V section factor of protected sections [Am/V]b box value of the section factor Af floor area Afire area of a fire source Ap appropriate area of fire protection material per unit length of a member At total area of an enclosure, including the openings Av area of a vertical opening, shear area C matrix of capacity, compression force C' compression force D the diameter of a fire, depth of a beam D/W ratio for the external members E Young's modulus of steel Ea,? Young's modulus of steel at temperature ? Ed effects of actions in the normal situation Efi,d design effect of actions for the fire situation Efi,d,t design effect of actions for the fire situation at time t EIz flexural stiffness of a section EIw warping stiffness of a section F thermal load vector Fb,Rd design bearing resistance of bolts at normal temperature Fb,t,Rd design bearing resistance of...System requirements
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