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    Reinforced concrete at high temperature

    Materials' behavior and structuralimplications

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    Fire Safety of Materials and StructuresConcrete

    Outline

    Concrete microstructure

    Thermal properties of steel and concrete as a function of thetemperature

    Thermal analysis of reinforced-concrete and prestressed-concrete

    sections

    Mechanical properties of concrete and steel as a function of the

    temperature

    (Simplified calculation methods)

    (Evaluation of the bearing capacity)

    Concise overview on structural effects

    Concluding remarks

    2

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    Fire Safety of Materials and StructuresConcrete

    Concrete microstructure 3

    fresh concrete

    hardenedconcrete

    water/cement 0.65 0.45 0.25

    unhydrated cement

    grain

    ettringite

    (sulfoalluminated calcium)pore calcium hydroxide

    Ca(OH)2

    hydrated cement

    grain

    (from Atcin e Neville, 1993)

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    Fire Safety of Materials and StructuresConcrete

    Concrete microstructure 4

    Componenti del clinker

    Tricalcium silicate (alite, C3S) 3CaO-SiO2 30-70%

    Bicalcium silicate (belite, C2S) 2CaO-SiO2 10-50%

    Tricalcium alluminate (C3A) 3CaO-Al2O3 7-15%

    Tetracalcium ferroalluminate (C3AF) 4CaO-Al2O3-Fe2O3 6-20%

    Transition zone in concrete

    (a) Fresh concrete without silica fume

    (b) Mature concrete without silica fume

    (c) Fresh concrete with silica fume

    (d) Mature concrete with silica fume

    (pc) Portland cement grain

    (sf) Silica fume particle

    (CH) Calcium hydroxide = Ca(OH)2(CSH) Calcium silica hydrate gel

    (ett) Ettringite (calcium sulphoaluminate)

    (agg) Aggregate particle

    a b c d

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    Fire Safety of Materials and StructuresConcrete

    Concrete microstructure

    Up to 20% of the cement paste volume is occupied by pores:

    nanopores(pores in the gel) contain adsorbed water, i.e. water thatis chemically bound (d 50 nmm)

    microporescontain free water (d 500 nm)

    Above 100C, the free water tends to become vapour, thus

    producing vapour pressure in the micropores Above 150-200C, the adsorbed water tends to dissociate, thus

    enhancing pore pressure

    Above 450C, the portlandite Ca(OH)2dissociates into calcium oxide

    CaO and water H2

    O

    5

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    Fire Safety of Materials and StructuresConcrete

    Above 700C, calcium carbonate CaCO3 dissociates into calcium

    oxide CaO and carbon dioxide CO2, thus starting concretebreakdown (calcination)

    Above 500C, the cement paste is almost completely dehydrated;

    aggregates (particularly siliceous aggregates) have their

    crystallization water expelled, and start breaking down

    6

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    Concrete thermometer 7

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    Thermal properties - Concrete

    Good insulation properties, incombustibleand stable (T 400-450C)

    but sensitive to: high temperature(T 500C)stress state (preloading)

    thermal gradients(T/t ; T/x)

    spalling (explosive/gradual/local/extended)

    strength increase by using optimized mixes

    Mix-design optimization:

    aggregate (siliceous < mixed < calcareous < light < basalt)

    binder (cement, microsilica, fly ash)

    water content and water/binder ratio (w/c ; w/b)

    added materials (calcareous powders)

    fibers (metallic, polymeric, inorganic, hybrid)

    8

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    9Comparison between concrete and other

    building materials

    R/C and P/C structural members behave well at high

    temperature, because of concrete very good insulation properties:at 20C/800C

    thermal conductivity concrete 1.0-2.0/0.5-0.85 W/mK

    steel 54/27 W/mK

    timber 0.12/0.18 W/mK

    specific heat c concrete 900/1250 J/kgK

    steel 425-650 J/kgK

    timber 1500/750 J/kgK

    thermal diffusivity D concrete 0.3-0.8/0.3-0.4 mm2/s

    steel 17.0/5.5 mm2/s

    timber 0.05-0.25/0.15-0.30 mm2/s

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    10

    NSC, HPC, HSC fc20= 50, 80, 90 MPa

    Example of concrete highly-variable thermal

    properties - (SCC)

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    11Example of concrete highly-variable thermal

    propertiesLWC/HPLWC

    NSC, LWC, HPLWC fc20= 30, 40, 60 MPa

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    Example of concrete highly-variable thermal

    propertiesShotcrete

    12

    fc20= 15*, 50**, 45** MPa (*,** with/without alkali)

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    Thermal properties given in EC2 13

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    Thermal analysis of R/C and P/C sections

    Inside a concrete member, heat transfer is by pure conduction,

    controlled by Fouriersequation The reinforcement (ordinary or pre-/post-tensioned) is IGNORED,

    because (a) of the low steel ratio, and (b) of steel very high diffusivity

    (a reinforcing bar very quickly reaches thermal equilibrium with the

    surrounding concrete) Ts,i= Tc(xi,yi,zi)

    Boundary conditions are generally based on heat convection and

    radiation, should a temperature-time curve be assumed, but they can

    also be expressed in terms of heat flux

    14

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    Temperature profiles for slabs (thickness

    h = 200 mm), fire duration 30-240 minutes

    16

    x is the distance from

    the exposed surface

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    Temperature profiles (

    C) for a column

    h x b = 300 x 300

    17

    R30

    R90 R120

    R60

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    Position of the 500C isotherm in a square

    column

    18

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    Temperature profiles (

    C) in a beam

    provided with a top slab

    19

    hxb=150x80- R30 hxb=300x160-R30

    f 00C

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    Position of the 500C isotherm in a beam

    provided with a top slab

    20

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    Fire Safety of Materials and StructuresConcrete

    21Temperature profiles (

    C) in a circular column,

    diameter = 300 mm

    R30

    R90 R120

    R60

    P iti f th 500C i th i i l

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    Position of the 500C isotherm in a circular

    column

    22

    T t fil i t b

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    Fire Safety of Materials and StructuresConcrete

    Temperature profiles in concrete beams

    provided with a top slab (standard fire)

    23

    St t l l f th th l ti

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    Fire Safety of Materials and StructuresConcrete

    24Structural role of the thermal properties

    M h i l ti f t t hi h

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    Fire Safety of Materials and StructuresConcrete

    Mechanical properties of concrete at high

    temperature (400-600C)

    The following data are typical of ordinary concrete, whose specimens

    were heated without pre-load(unstressed specimens):

    Compressive strength: fc600/fc

    20 = 70-30%

    Tensile strength: fct600/fct

    20 = 20%

    Modulus of elasticity: Ec600/Ec

    20= 15%

    Poissons coefficient: c400/c

    20 = 200%

    Fracture energy: Gf400/Gf

    20= 125-133%

    25

    T i l t t d liti

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    Fire Safety of Materials and StructuresConcrete

    Typical test modalities 26

    The heating rate (dT/dt) is usually very low (0.5-2.0C/min).

    27Mechanical decay

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    27Mechanical decay

    fc20= 40 MPa (Takeuchi et al.)

    28Role of the stress state

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    Fire Safety of Materials and StructuresConcrete

    28Role of the stress state

    in uniaxial compression

    29Comparison between hot and residual

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    29Comparison between hot and residual

    behaviour (SCC)

    30Mechanical decay and thermal properties

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    Fire Safety of Materials and StructuresConcrete

    30Mechanical decay and thermal properties

    fc= 45 MPa, Basaltico, di miscela

    fc= 65-70 MPa

    Basaltico, Portland

    fc= 45 MPaSiliceo, Portland

    fc= 65-70 MPa

    Calcareo, Portland

    0.10

    0.20

    0.30

    0.40

    0.50

    0.60

    0.00 0.20 0.40 0.60 0.80 1.00

    Dc[mm2/s] (mean values 200-600C)

    fc

    600/

    fc

    20

    Siliceous-blended Siliceous-blast

    Siliceous-portland Calcareous-blended

    Calcareous-blast Calcareous-portland

    Basalt-blended Basalt-blast

    Basalt-portland

    94

    91

    92

    93

    106

    95

    96

    97

    98

    110

    105

    108

    116

    109

    120

    increasing insulation efficacy

    increasing

    heat sensitivity

    Mean diffusivity (200-600C)

    Residual fracture energy 31

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    Residual fracture energy 31

    32Mechanical decay (from EC2)

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    32

    Concrete temp. (

    ) 20 100 200 300 400 500 600 700 800 900100

    01100 1200

    Siliceous aggregates 1.00 1.00 0.95 0.85 0.75 0.60 0.45 0.30 0.15 0.08 0.04 0.01 0.00

    Calcareous aggregates 1.00 1.00 0.97 0.91 0.85 0.74 0.60 0.43 0.27 0.15 0.06 0.02 0.00

    c ( )k

    c ( )k

    Mechanical decay (from EC2)

    Compressive strength

    33Typical design values for the compressive

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    33

    c,T

    c,T

    1.0

    910 / 560

    k

    k T

    c,T

    c,T

    1.0

    1000 / 500

    k

    k T

    350 C

    350 C

    T

    T

    500 C

    500 C

    T

    T

    For normal weight concrete: For lightweight concrete:

    Typical design values for the compressive

    strength

    34Mechanical decay (from EC2)

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    34

    for 20100

    for 100600

    c,t 1.0k

    c,t 1.0 1.0 100 / 500k

    ck,t c,t ck,t( ) ( )f k f

    Mechanical decay (from EC2)

    Tensile strength

    35Typical design values for the modulus of

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    35

    E,T

    E,T

    1.0

    700 / 550

    k

    k T

    150 C

    150 C

    T

    T

    Typical design values for the modulus of

    elasticity

    Stress-strain relationships for concrete at 36

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    Stress-strain relationships for concrete at

    elevated temperatures

    36

    Example of stress-strain curves 37

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    Fire Safety of Materials and StructuresConcrete

    Example of stress strain curves

    Alkali-free shotcrete (fc= 45-50 Mpa)

    37

    Creep in concrete one day after loading at 38

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    Fire Safety of Materials and StructuresConcrete

    Creep in concrete one day after loading at

    10% of the initial strength

    38

    Mechanical properties of reinforcing steel 39

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    Fire Safety of Materials and StructuresConcrete

    Mechanical properties of reinforcing steel

    Hot-rolled steel

    Elastic-plastic-hardening behaviour up to 350C

    Elastic-hardening behaviour beyond 400C

    (Almost) Elastic-plastic behaviour beyond 600C

    Below 400-500Cthe ultimate strength is ft20fy

    20

    At 600Cthe ultimate strength is ft20

    39

    Mechanical properties of reinforcing steel 40

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    Mechanical properties of reinforcing steel

    Cold-worked steel

    Elastic-hardening-softening behaviour up to 200C

    (Almost) Elastic-plastic behaviour beyond 200C

    At 500Cthe ultimate strength ft500 is1/3ft

    20

    At 600Cthe ultimate strength ft600 is1/6ft

    20

    40

    41Steel High-temperature behavior

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    41Steel High temperature behavior

    Carbon steel (R/C) High-strength steel (P/C)

    42High-temperature behavior

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    42High temperature behavior

    Stainless steel vs. carbon steel

    Fire duration / Temperature (Standard Fire)

    43Residual behavior

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    43

    Stainless steel

    Tempcore/Termex and high-strength steel

    0

    0.2

    0.4

    0.6

    0.8

    1

    1.2

    0 100 200 300 400 500 600 700 800 900

    Temperature (C)

    fy

    T/f

    y20

    12 Inox Cold-Drawn fy = 666 MPa

    24 Inox Hot-Rolled fy = 494 MPa

    24 Tempcore fy = 496 MPa

    12 Tempcore fy = 519 MPa

    0.5'' Strand fy = 1730 MPa High-Bond Bars

    44

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    Coefficient ks() to be applied to the characteristic strength (fyk)

    of tension and compression reinforcement (Class N)

    45C ffi i t k () t b li d t th h t i ti

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    Coefficient kp() to be applied to the characteristic

    strength (fpk) of prestressing steel

    Steel temp. () 20 100 200 300 400 500 600 700 800 900100

    01100 1200

    Cold worked Class A 1.00 1.00 0.87 0.70 0.50 0.30 0.14 0.06 0.04 0.02 0.00 0.00 0.00

    Cold worked Class B 1.00 0.99 0.87 0.72 0.46 0.22 0.10 0.08 0.05 0.03 0.00 0.00 0.00

    Quenched & tempered 1.00 0.98 0.92 0.86 0.69 0.26 0.21 0.15 0.09 0.04 0.00 0.00 0.00

    p ( )k

    p ( )k

    p( )k

    46

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    Fire Safety of Materials and StructuresConcrete

    Mathematical model for the stress-strain relationship of

    reinforcing and prestressing steel at elevated temperature

    General overview on structural effects 47

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    Fire Safety of Materials and StructuresConcrete

    In R/C and P/C structures : (1) restrained thermal elongation

    (2) materials mechanical decay

    (3) geometry reductions (spalling)

    In steel structures : (1) steel mechanical decay

    (2) increasing deformability and buckling

    phenomena (because of decreasing

    elastic modulus with the temperature)

    In timber structures : (1) geometry reductions because of timber

    charring (charring rate 0.5-0.9

    mm/min; temperature-damaged sub-

    layer 35-40 mm)

    Main structural effects in concrete members 48

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    Fire Safety of Materials and StructuresConcrete

    Some structural effects in tunnels 49

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    Fire Safety of Materials and StructuresConcrete

    Tunnel sotto la Manica (1996) Frejus (2005)

    San Gottardo (2001) concio prefabbricato

    The St. Gotthard Tunnel 50

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    Fire Safety of Materials and StructuresConcrete

    Stress state in tunnel linings 51

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    Fire Safety of Materials and StructuresConcrete

    Buckling 52

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    Fire Safety of Materials and StructuresConcrete

    Pentagon Building, 11.9.2001

    Local effects on geometry 53

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    Fire Safety of Materials and StructuresConcrete

    Spalling 54

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    Moisture content and spalling sensitivity 56

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    Fire Safety of Materials and StructuresConcrete

    (Khoury, 2000)

    3%

    Role of polipropylene fibers 57

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    Fire Safety of Materials and StructuresConcrete

    with fibres

    (0.15-0.50%)

    without fibres

    Role of polypropylene fibers 58

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    Fire Safety of Materials and StructuresConcrete

    An explanation on why they reduce spalling

    Concrete spalling with load- and

    heat-induced stresses, and pore

    pressure

    Effect of pp fibers according

    to Jansson and Bostrm

    (2008)

    Concluding Comments - Concrete 59

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    Fire Safety of Materials and StructuresConcrete

    Concrete is a rather heat-tolerant material (500C), with very good

    insulation properties, to the advantage of bar protection

    Cracking and buckling are favored at high temperature, because of the loss

    affecting (less) the tensile strength and (more) the elastic modulus

    Because of its low thermal conductivity and high stiffness, concrete is rather

    sensitive to thermal self-stresses, that may contribute to cover spalling

    Because of concrete composite nature, spalling is favored by both moisturevaporization (with pressure peaks in the pores) and kinematic incompatibility

    between the coarse aggregates and the cementitious mortar

    Polypropylene fibers markedly reduce concrete spalling, even for rather low

    fibers contents

    Basalt aggregates give concrete superior resistance to high temperature andlower thermal conductivity

    Light-weight aggregates improve concrete properties at HT, because they

    reduce the hollow-aggregate/mortar kinematic incompatribility

    ConcludingcommentsR/C structures 60

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    Concrete structures are rather stable at high temperature (thanks to

    their intrinsic stiffness), but they are sensitive to axial restraints, that

    may improve the behavior of heated members (because of extra

    compression), while worsening the behavior of the contiguous

    members (because of extra shear and bending)

    Generally, a properly-designed reinforcement against seismic actions

    is also effective in fire, and vice-versa Evaluating the maximum temperature reached by a fire-affected R/C

    structure is badly needed (and not easily done!), should the structure

    survive the fire, as often occurs in R/C constructions, contrary to what

    occurs in either timber or steel constructions

    The static redundancy of R/C structures improves structuralrobustness (thanks to load redistribution in fire) but allows the static

    effect of fire to propagate up to the members further from the

    compartment in fire (thermal elongation of the heated members)