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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 1

    Design of steel and composite bridgesHighway bridges

    Jol Raoul

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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 2

    Main selected features

    General presentation and scope of EC3 and

    EC4 related to steel and composite bridges Materials

    Structural analysis

    Cross-section analysis at ULS and SLS

    Treatment of instabilities

    Fatigue

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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 3

    applications

    Partie

    2

    bridges

    Partie

    7.1

    pylons

    Partie7.2

    chimneys

    Partie 6

    Cranes

    Partie

    4.2

    tanks

    Partie

    4.3

    Pipelines

    Partie

    5

    piling

    Partie

    1.1General rules

    Partie1.2

    fire

    Partie

    1.3sheetings

    Partie

    1.4Stainless steel

    Partie

    1.5Plated

    elements

    Partie

    1.6shells

    Partie

    1.7

    Plated elements

    loaded transv.

    Partie1.8 joints

    Partie

    1.9Fatigue

    Partie

    1.10Brittle

    fracturePartie

    1.11cables

    Partie

    4.1

    Silos

    generic

    rules

    Partie

    1.12 S500 to S690

    Eurocode 3 : steel structures

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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 4

    EN 1994 : composite steel-concrete structures

    EN 1994-2 general rules and bridges(self-sufficient)

    CONCRETE PART

    EN 1992-2

    STEEL PART

    EN 1993-2

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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 5

    Scope of EN1993-2

    All steel bridges (in general with an orthotropic deck) and the

    steel part of composite bridges

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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 6

    Scope of EN1994-2Composite bridges

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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 7

    Girder bridges

    Economy : two-girderbridges even for 2X2 lanes

    due to robustness rules

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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 8

    Box girders

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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 9

    Composite members

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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 10

    Tension members (tie of bowstring arch)

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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 11

    Composite plates

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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 12

    Filler beam decks

    In the transversal direction In the longitudinal direction

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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 13

    Materials

    Concrete :

    Between C20 and C60 for composite bridges (C 90 for concrete bridges)

    Steel :

    up to S460 for steel and composite bridges(S 500 to S 700 in a separate part 1-12 for steel bridges)

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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 14

    Choice of material :

    avoid brittle behaviour

    HOAN BRIDGE 2000

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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 15

    An overlooked defect is assumed during execution :e.g. : a = 2.2 mm for tf=80 mm

    It grows acc. to fracture mechanics laws (assumingfatigue is governing the design)

    Up to the critical defectdepending on Charpy energyat service temperature

    Over a period dependingon the inspection periodicity

    NOTE: fabrication rules andquality plan are given in EN 1090They are assumedto be met when using EN 1993

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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 16

    EN1

    0025

    grade quality

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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 17

    Structural analysis

    Elastic

    Plastic (buildings, bridges in accidental situations)

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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 18

    Classes of steel cross-sections

    Cl.1

    Cl.2Cl.3

    Cl.4

    Mpl

    Mel

    1 3 6

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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 19

    Class offlanges

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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 20

    Global analysis of composite bridges:

    two aspects are considered

    Cracking of concrete on

    support

    Mel,Rd

    Mpl,Rd

    Class 1

    Non linear behaviour at

    mid span

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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 21

    Modular ratio used in a composite section

    L 0 L tn n . 1

    a0

    cm

    En

    E t 0t t creep coefficient given by EC2 :and

    Value of t0: t0= 1 day for shrinkage

    t0= a mean value in case of concrete cast in several stages

    SIMPLE CALCULATIONS

    L is given by :

    Permanent loads

    shrinkage

    Imposed deformations

    1,1

    0,55

    1,5

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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 22

    Plate buckling and shear lag

    Effectivep width

    (plate buckling)

    effectiveswidth

    (shear lag)

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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 23

    Effectives

    width of concrete slab (ULS and SLS)

    b1 b1 b2

    be1 be2beffb0

    eei i

    L

    b min( ; b )8

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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 24

    0 0.2 0.4 0.6 0.8 10

    0.2

    0.4

    0.6

    0.8

    1

    1.2

    b0/Le1/50

    Shear lag at ULS:

    3 alternatives, black

    one recommended

    Shear lag at SLS:

    elastic (red line)

    Effectiveswidth of stiffened plates

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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 25

    Composite cross-section verification at ULS (M>0)

    PNA

    ENA

    Elastic resistance

    (for class 1, 2, 3)

    plastic resistance

    (for classes 1/2)

    0,85 fck/gcfck/gc

    fy/gM fy/gM

    compression

    traction

    NOTE : gMis 1.0 (recommended for resistance formulae)

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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 26

    Verification at SLS

    Limitation of stresses for steel and composite bridges

    As in EN1992-2 and EN1993-2 (fyin the steel part) Limitation of crack widths for composite bridges

    As in EN1992-2 with tension stiffening (wk=0.3mm in

    general)

    Using a simplified method

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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 27

    exprimental behaviour mechanical model

    M

    V

    P

    Aeff

    12=-cr

    Treatment of instabilities

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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 28

    Principle of verification

    )( fTest /theory

    (mechanical

    model)calibration

    uRk PP PRd=PRk/gM

    NOTE : gMis 1.1 (recommended for stability formulae)

    cr

    u

    cr = critical loading / ULS loading

    = ultimate loading (without instability)/ ULS loadingu

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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 29

    Plate buckling of stiffened plates in EC3

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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 30

    Fatigue verification in EC3

    Calculation of DE,2under a fatigue loading

    Influence of the type of influence line Influence of the type of traffic Influence of the number of lanes

    P = 480kN

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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 31

    verificationpartial factor forloading= 1,0

    Category of

    detail

    Dc=80

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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 32

    Orthotropic decks : recommended detailing

    Deck plate thickness in the carriage way

    in the heavy vehicle lane

    t 14 mm for asphalt layer 70 mm

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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 33

    1st bridge entirelydesigned to EC4 in

    Avignon

    4500 t

    SETRA

    SETRA

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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 34

    Outstanding composite bridges

    Max span 144 m: Verrires viaduct (composite box-girder bridge)

    Surface > 20000 m: Vzre viaduct

    SETRA

    SETRA SETRA

    Max S460 thickness 120 mm: Guarrigue viaduct

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    Seminar Bridge Design with Eurocodes JRC Ispra, 1-2 October 2012 35

    SOME INNOVATIONS / ECONOMY ISSUES

    Enormous scientific work Simplicity of calculations Robustness (fatigue + brittle fracture) Full exploitation of the materials (postcritical range) Steels up to S690 Hybrid girders

    Harmonization of the format and the reliability of allthe instability formulae

    Treatment of stiffened plates Design of orthotropic decks