Graeme Walker Design Illustration Concrete

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    22 - 23 November, 2010

    Institution of Civil Engineers

    Bridge Design to Eurocodes- UK Implementation

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    Design Illustration Concrete Bridge Design

    Graeme Walker, Gifford

    Paul J ackson, Gifford

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    Introduction

    Design example prepared for the Concrete BridgeDevelopment Group

    Precast, prestressed beam and slab bridge selected todemonstrate as many aspects of the codes as possible

    Follows UK NAs and PDs, but makes clear the sourceof all information

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    Scheme Design

    2 span integral bridge, each span 20m long

    7.3m wide c/way + 2m wide footways either side

    Superstructure 8 standard precast, pretensioned concrete Ybeams with a 160mm deep in-situ RC deck slab; in-situ diaphragmsat abutments and pier

    Substructure precast concrete piles with pile caps

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    Actions

    Permanent Actions

    - Self weight

    - Differential settlement- Differential shrinkage

    Variable Actions- Wind

    - Thermal

    - Traffic Loads

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    Traffic Loads

    Positioning of the notional lanes does not have to correspond to the

    position of the lane markings on the bridge. Instead, the lanes & the

    remaining area are posit ioned to create the most severe load effects foreach element under consideration.

    Division of carriageway into notional lanes

    Carriageway width w = 7.30 m

    Width of notional lanes w1 = 3.00 m

    Number of notional lanes n1 = 2

    Width of remaining area wr = 1.30m

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    Traffic Loads Load Model 1

    a) A double axleloading, referred to astandem system, or TS.

    b) A uniformly

    distributed load (UDL).

    Normal traffic in EN 1991 is represented by (LM 1),which is the equivalent of HA loading in BD 37.

    For each lane, LM1 consists of 2 parts:

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    Traffic Loads Load Model 3

    LM3 represents Abnormal Vehicles. The UK NAdefines a series of load models.

    The vehicles are applied in the worst position and arecombined with LM1 loads at their frequent values.

    4.0m

    180kN 180kN 100kN

    1.6m 4.4m

    Direction of TravelDirection of Travel

    165kN 165kN 165kN 165kN 165kN

    1.2m 1.2m 1.2m 1.2m

    OverallVehicleW

    idth

    0.35m

    0

    .35m

    3.0m

    3.0m

    165kN 165kN 165kN 165kN 165kN

    1.2m 1.2m 1.2m 1.2m

    OverallVehicleW

    idth

    0.35m

    0

    .35m

    3.0m

    3.0m

    OverallVehicleW

    idth

    0.35m

    0

    .35m

    3.0m

    3.0m

    165

    kN

    165

    kN

    165

    kN

    165

    kN

    1.2m 1.2m 1.2m

    Critical of1.2mor

    5.0mor

    9.0m

    Critical of1.2mor

    5.0mor

    9.0m

    SV 196

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    Traffic Loads Load Model 1

    Lanes and remaining area interchangeable for worsteffect

    1,3m

    Lane 1

    Lane 2

    Remaining Area

    3m

    3m

    UDL = 0,61 X 9,0 =5,5kN/m2

    TS Axle = 1,0 X 300 =300kN

    UDL = 2,2 X 2,5 =5,5kN/m2

    TS Axle = 1,0 X 200 =200kN

    UDL = 2,2 X 2,5 =5,5kN/m2 No TS

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    Traffic Loads Load Model 3

    Lanes and remaining area interchangeable for worsteffect

    SV/SOV normally replaces lane 2 (or 3+), not lane 1

    1,3m

    Lane 1

    Lane 2

    Remaining Area

    3m

    3m

    Frequent value of LM1

    Frequent value of

    LM1

    Frequent value of LM1

    SV / SOV

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    Global Design at SLS

    As for most prestressed structures, SLS criteriagoverned

    3 checks were required:

    - Decompression (near tendons)

    - Crack widths (elsewhere + in RC)

    - Stress limits

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    Decompression

    For XD (chloride) exposure, decompression limit ischecked for the frequent load combination

    All concrete within the minimum cover distance of thetendons remain in compression

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    Decompression

    DecompressionCheck requiredhere! (if a tendon)

    Beam section showing strand position

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    Decompression

    Same design to BS 5400 resulted in a similar level ofprestress

    Same design to EN 1992 but with no chloride exposure

    allowed a 25% reduction in prestress

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    Transfer and Tendon Arrangement

    Tendon or rebar?

    Beam section showing strand position

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    Design at ULS

    Flexural design differs little from BS 5400-4

    More shear reinforcement required for prestressedmembers

    However, interface shear governed in the designexample

    (B12 @ 75mm c/f B12 @ 250mm adjacent to supports)

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    Fatigue

    Method 1

    Cumulative fatigue damage due to the predicted cyclicload history of the structure calculated

    Impractical for most structures

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    Fatigue

    Method 2 Simplified method

    Not applicable to tendons Calculate stress range due to cyclic portion of the

    frequent load combination

    Allowable to EN 1992-1-1 = 70 MPa

    Allowable to PD for this case = 85 MPa

    Stress range under frequent load = 128 MPa

    50% increase in reinforcement required over pier

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    Fatigue

    Method 3 Damage Equivalent Stress Range

    Applicable to bars and tendons

    Stress range calculated under a special load model

    Stress range multiplied by factors reflecting site specificinfluences to give damage equivalent stress range

    Stress range under fatigue load model 3 = 96 MPa

    Damage equivalent stress range = 140 MPa

    Permissible stress range = 141 MPa

    No additional reinforcement required

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    Conclusion

    Prestressed sections designed to EN 1992 comes outvery similar to those designed to BS 5400 for normal

    structures

    Same design to EN 1992 but with no chloride exposure

    allowed a 25% reduction in prestress