146086912 rc detailing to eurocode 2

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  • RC Detailing to Eurocode 2

    Jenny Burridge

    MA CEng MICE MIStructE

    Head of Structural Engineering

    BS EN 1990 (EC0): Basis of structural design

    BS EN 1991 (EC1): Actions on Structures

    BS EN 1992 (EC2): Design of concrete structures

    BS EN 1993 (EC3): Design of steel structures

    BS EN 1994 (EC4): Design of composite steel and concrete structures

    BS EN 1995 (EC5): Design of timber structures

    BS EN 1996 (EC6): Design of masonry structures

    BS EN 1999 (EC9): Design of aluminium structures

    BS EN 1997 (EC7): Geotechnical design

    BS EN 1998 (EC8): Design of structures for earthquake resistance

    Structural Eurocodes

  • General Basis of design Materials Durability and cover to reinforcement Structural analysis Ultimate limit state Serviceability limit state Detailing of reinforcement and prestressing tendons General Detailing of member and particular rules Additional rules for precast concrete elements and structures Lightweight aggregated concrete structures Plain and lightly reinforced concrete structures

    Eurocode 2 - contents

    A. (Informative) Modification of partial factors for materialsB. (Informative) Creep and shrinkage strainC. (Normative) Reinforcement propertiesD. (Informative) Detailed calculation method for prestressing steel

    relaxation lossesE. (Informative) Indicative Strength Classes for durabilityF. (Informative) Reinforcement expressions for in-plane stress

    conditionsG. (Informative) Soil structure interactionH. (Informative) Global second order effects in structuresI. (Informative) Analysis of flat slabs and shear wallsJ. (Informative) Examples of regions with discontinuity in geometry or

    action (Detailing rules for particular situations)

    Eurocode 2 - Annexes

    EC2 Annex J - replaced by Annex B in PD 6687

  • BS EN 1992Design of concrete structures

    Part 1-1: General & buildings

    Part 1-2: Fire design

    Part 2: Bridges

    Part 3: Liquid retaining

    Standards

    BS EN 13670Execution of Structures

    BS 4449Reinforcing

    Steels

    BS EN 10080Reinforcing

    SteelsBS 8500Specifying Concrete

    BS EN 206-1Specifying Concrete

    NSCS

    BS 8666Reinforcement Scheduling

    National AnnexPD 6687-1 (Parts 1 & 3)

    PD 6687-2 ( Part 2)

    N.A.

    Specification NSCS, Finishes

    NSCS Guidance:1 Basic

    2 Ordinary3 Plain4 Special Visual Concrete

  • Labour and Material (Peri)

    18%

    24%

    58%

    Rationalisation of Reinforcement

    Optimum cost depends

    on:

    Material cost

    Labour

    Plant

    Preliminaries

    Finance

    Team decision required

  • Detailing

    Reinforcement

  • EC2 does not cover the use of plain or mild steel reinforcement

    Principles and Rules are given for deformed bars, decoiled rods,

    welded fabric and lattice girders.

    EN 10080 provides the performance characteristics and testing methods

    but does not specify the material properties. These are given in Annex

    C of EC2

    Reinforcement

    Product form Bars and de-coiled rods Wire Fabrics

    Class

    A

    B

    C

    A

    B

    C

    Characteristic yield strength fyk or f0,2k (MPa)

    400 to 600

    k = (ft/fy)k

    1,05

    1,08

    1,15

  • Extract BS 8666

    UK CARES (Certification - Product & Companies)

    1. Reinforcing bar and coil 2. Reinforcing fabric 3. Steel wire for direct use of for further

    processing 4. Cut and bent reinforcement 5. Welding and prefabrication of reinforcing

    steel

    www.ukcares.co.uk www.uk-bar.org

  • www.ukcares.co.uk www.uk-bar.org

    A

    B

    C

    Coil up to 16mm (2.5T)

    Bar 12,14,15 and 18m

    Cut and bent approx 550 to 650/T

    Reinforcement supply

  • Table power bender

  • High

    Medium

    Low

    Potential Risk factor

    Smaller diameter bars cause

    less of a problem as they

    can often be produced on

    an automatic link bending

    machine. Larger diameter

    bars have to be produced on

    a manual power bender with

    the potential to trap the

    operators fingers. Try to

    avoid/minimise the use of

    shapes which cause a scissor

    action, especially with

    larger diameter bars.

    Boot Link.

    Greater risk than shape code 51 as the

    bars have to cross over twice to

    achieve the shape.

    Health and safety risk becomes higher

    with larger diameter bar.

    Also the risk increases with small

    dimensions.

    See Note SN2.

    When bent on an automatic link bender

    with small diameter bars the risk is

    relatively low. When bending on a

    manual bender the risk is higher,

    especially with larger diameters.

    64

    See Note SN2.

    Great care should be taken

    when bending this shape. If

    the operator has concerns

    when producing this shape

    he should consult his

    supervisor.

    This shape is designed for

    producing small to medium

    sized links in small diameter

    bar.

    Do not detail this shape in

    large diameter bar, try to

    use an alternative (eg. 2 no.

    shape code 13s facing each

    other to create a shape

    code 33).

    See Note SN2.

    Sausage Link.

    Health and safety risk is high with

    larger diameter bar.

    Also the risk increases with small

    dimensions.

    When bent on an automatic link bender

    with small diameter bars the risk is

    relatively low. When bending on a

    manual bender the risk is high,

    especially with larger diameters and

    non standard formers.

    33

    FabricatorDesignerCommentDetailSC

    High Risk33,51,56,63,64 & 99?

    Health & Safety

    Minimum Bending & projections

    Minimum Bends

    6mm - 16mm = 2x Dia Internal

    20mm - 50mm = 3.5x Dia Internal

    Minimum of 4 x dia between bends

    End Projection = 5 x Dia from end of bend

    Bending

    BS8666, Table 2

  • Tolerances (not in EC2BS8666)

    For bars: Bar diameter

    For post-tensioned tendons:

    Circular ducts: Duct diameter

    Rectangular ducts: The greater of:the smaller dimension or half the greater dimension

    For pre-tensioned tendons:

    1.5 x diameter of strand or wire2.5 x diameter of indented wire

    Minimum Cover for Bond

  • a AxisDistance

    Reinforcement cover

    Axis distance, a, to centre of bar

    a = c + m/2 + l

    Scope:

    Part 1-2 Structural fire design gives several methods for fire engineering

    Tabulated data for various elements is given in section 5

    Structural Fire DesignBS EN 1992-1-2

    cdev: Allowance for deviation = 10mm

    A reduction in cdev may be permitted:

    for a quality assurance system, which includes measuring concrete

    cover,

    10 mm cdev 5 mm

    where very accurate measurements are taken and non conforming members are rejected (eg precast elements)

    10 mm cdev 0 mm

    Allowance in Design for Deviation

  • Nominal cover, cnom

    Minimum cover, cmin

    cmin = max {cmin,b; cmin,dur ; 10 mm}

    Axis distance, aFire protection

    Allowance for deviation, cdev

    Nominal Cover

    Lead-in times should be 4 weeks for rebar

    Express reinforcement (and therefore expensive) 1 7 days

    The more complicated the scheduling the longer for bending

    Procurement

  • Practicalities

    12m maximum length H20 to H40

    (12m H40 = 18 stone/ 118Kg)

    Health & safety

    9m maximum length H16 & H12

    6m maximum length H10 & H8

    Transport

    Fixing

    Standard Detailing

    Control of Cracking

    In Eurocode 2 cracking is controlled in the following ways:

    Minimum areas of reinforcement cl 7.3.2 & Equ 7.1

    As,mins = kckfct,effAct this is the same as

    Crack width limits (Cl. 7.3.1 and National Annex). These

    limits can be met by either:

    direct calculation (Cl. 7.3.4) crack width is Wk Used for liquid retaining structures

    deemed to satisfy rules (Cl. 7.3.3)

    Note: slabs 200mm depth are OK if As,min is provided.

    EC2: Cl. 7.3

  • Minimum Reinforcement Area

    The minimum area of reinforcement for slabs (and beams) is given by:

    db0013.0f

    dbf26.0A t

    yk

    tctm

    min,s

    EC2: Cl. 9.2.1.1, Eq 9.1N

    Crack Control Without Direct Calculation

    Provide minimum reinforcement.

    Crack control may be achieved in two ways:

    limiting the maximum bar diameter using Table 7.2N

    limiting the maximum bar spacing using Table 7.3N

    EC2: Cl. 7.3.3

    Note: For cracking due to restraint use only max bar size

  • Clear horizontal and vertical distance , (dg +5mm) or 20mm

    For separate horizontal layers the bars in each layer should be

    located vertically above each other. There should be room to allow

    access for vibrators and good compaction of concrete.

    Spacing of barsEC2: Cl. 8.2

    The design value of the ultimate bond stress, fbd = 2.25 12fctdwhere fctd should be limited to C60/75

    1 =1 for good and 0.7 for poor bond conditions2 = 1 for 32, otherwise (132- )/100

    a) 45 90 c) h > 250 mm

    h

    Direction of concreting

    300h

    Direction of concreting

    b) h 250 mm d) h > 600 mmunhatched zone good bond conditions

    hatched zone - poor bond conditions

    Direction of concreting

    250

    Direction of concreting

    Ultimate bond stress

    EC2: Cl. 8.4.2

  • lb,rqd = ( / 4) (sd / fbd)

    where sd is the design stress of the bar at the position from where the anchorage is measured.

    Basic required anchorage length

    EC2: Cl. 8.4.3

    For bent bars lb,rqd should be measured along the centreline of the bar

    lbd = 1 2 3 4 5 lb,rqd lb,min

    However:

    (2 3 5) 0.7

    lb,min > max(0.3lb,rqd ; 10, 100mm)

    Design Anchorage Length, lbd

    EC2: Cl. 8.4.4

  • Alpha values

    EC2: Table 8.2

    Table 8.2 - Cd & K factors

    EC2: Figure 8.3

    EC2: Figure 8.4

  • Anchorage of links EC2: Cl. 8.5

    l0 = 1 2 3 5 6 lb,rqd l0,min

    6 = (1/25)0,5 but between 1.0 and 1.5 where 1 is the % of reinforcement lapped within 0.65l0 from the centre of the lap

    Percentage of lapped bars

    relative to the total cross-

    section area

    < 25% 33% 50% >50%

    6 1 1.15 1.4 1.5

    Note: Intermediate values may be determined by interpolation.

    1 2 3 5 are as defined for anchorage length

    l0,min max{0.3 6 lb,rqd; 15; 200}

    Design Lap Length, l0 (8.7.3)

    EC2: Cl. 8.7.3

  • Worked example

    Anchorage and lap lengths

    Anchorage Worked Example

    Calculate the tension anchorage for an H16 bar in the

    bottom of a slab:

    a) Straight bars

    b) Other shape bars (Fig 8.1 b, c and d)

    Concrete strength class is C25/30

    Nominal cover is 25mm

  • Bond stress, fbdfbd = 2.25 1 2 fctd EC2 Equ. 8.2

    1 = 1.0 Good bond conditions

    2 = 1.0 bar size 32

    fctd = ct fctk,0,05/c EC2 cl 3.1.6(2), Equ 3.16

    ct = 1.0 c = 1.5

    fctk,0,05 = 0.7 x 0.3 fck2/3 EC2 Table 3.1

    = 0.21 x 252/3

    = 1.8 MPa

    fctd = ct fctk,0,05/c = 1.8/1.5 = 1.2

    fbd = 2.25 x 1.2 = 2.7 MPa

    Basic anchorage length, lb,req

    lb.req = (/4) ( sd/fbd) EC2 Equ 8.3

    Max stress in the bar, sd = fyk/s = 500/1.15

    = 435MPa.

    lb.req = (/4) ( 435/2.7)

    = 40.3

    For concrete class C25/30

  • Design anchorage length, lbd

    lbd = 1 2 3 4 5 lb.req lb,min

    lbd = 1 2 3 4 5 (40.3) For concrete class C25/30

    Alpha valuesEC2: Table 8.2 Concise: 11.4.2

  • Table 8.2 - Cd & K factorsConcise: Figure 11.3EC2: Figure 8.3

    EC2: Figure 8.4

    Design anchorage length, lbdlbd = 1 2 3 4 5 lb.req lb,min

    lbd = 1 2 3 4 5 (40.3) For concrete class C25/30

    a) Tension anchorage straight bar

    1 = 1.0

    3 = 1.0 conservative value with K= 0

    4 = 1.0 N/A

    5 = 1.0 conservative value

    2 = 1.0 0.15 (cd )/

    2 = 1.0 0.15 (25 16)/16 = 0.916

    lbd = 0.916 x 40.3 = 36.9 = 590mm

  • Design anchorage length, lbd

    lbd = 1 2 3 4 5 lb.req lb,min

    lbd = 1 2 3 4 5 (40.3) For concrete class C25/30

    b) Tension anchorage Other shape bars

    1 = 1.0 cd = 25 is 3 = 3 x 16 = 48

    3 = 1.0 conservative value with K= 0

    4 = 1.0 N/A

    5 = 1.0 conservative value

    2 = 1.0 0.15 (cd 3)/ 1.0

    2 = 1.0 0.15 (25 48)/16 = 1.25 1.0

    lbd = 1.0 x 40.3 = 40.3 = 645mm

    Worked example - summary

    H16 Bars Concrete class C25/30 25 Nominal cover

    Tension anchorage straight bar lbd = 36.9 = 590mm

    Tension anchorage Other shape bars lbd = 40.3 = 645mm

    lbd is measured along the centreline of the bar

    Compression anchorage (1 = 2 = 3 = 4 = 5 = 1.0)

    lbd = 40.3 = 645mm

    Anchorage for Poor bond conditions = Good/0.7

    Lap length = anchorage length x 6

  • How to design concrete structures using Eurocode 2

    Anchorage & lap lengths

    Arrangement of LapsEC2: Cl. 8.7.2, Fig 8.7

    If more than one layer a maximum of 50% can be lapped

  • Arrangement of LapsEC2: Cl. 8.7.3, Fig 8.8

    Anchorage of bars

    F

    Transverse Reinforcement

    There is transverse tension reinforcement required

  • F/2 F/2

    F tan

    F tanF F

    Lapping of bars

    Transverse Reinforcement

    There is transverse tension reinforcement required

    Where the diameter, , of the lapped bars 20 mm, the transverse reinforcement should have a total area, Ast 1,0As of one spliced bar. It should be placed perpendicular to the direction of the lapped

    reinforcement and between that and the surface of the concrete.

    If more than 50% of the reinforcement is lapped at one point and the

    distance between adjacent laps at a section is 10 transverse bars should be formed by links or U bars anchored into the body of the section.

    The transverse reinforcement provided as above should be positioned at

    the outer sections of the lap as shown below.

    l /30A /2stA /2st

    l /30FsFs

    150 mm

    l0

    Transverse Reinforcement at LapsBars in tension

    EC2: Cl. 8.7.4, Fig 8.9 only if bar 20mm or laps > 25%

  • As,min = 0,26 (fctm/fyk)btd but 0,0013btd

    As,max = 0,04 Ac

    Section at supports should be designed for a

    hogging moment 0,25 max. span moment

    Any design compression reinforcement () should be held by transverse reinforcement with spacing 15

    BeamsEC2: Cl. 9.2

    Tension reinforcement in a flanged beam at

    supports should be spread over the effective width

    (see 5.3.2.1)

    BeamsEC2: Cl. 9.2

  • Shear Design: Links

    Variable strut method allows a shallower strut angle

    hence activating more links.

    As strut angle reduces concrete stress increases

    Angle = 45V carried on 3 links Angle = 21.8 V carried on 6 links

    d

    V

    z

    x

    d

    x

    V

    z

    s

    EC2: Cl. 6.2.3

    Where av 2d the applied shear force, VEd, for a point load (eg, corbel, pile cap etc) may be reduced by a factor av/2d

    where 0.5 av 2d provided:

    dd

    av av

    The longitudinal reinforcement is fully anchored at the support.

    Only that shear reinforcement provided within the central 0.75av is

    included in the resistance.

    Short Shear Spans with Direct Strut Action

    EC2: Cl. 6.2.3 (8)

    Note: see PD6687-1:2010 Cl 2.14 for more information.

  • Shear reinforcement

    Minimum shear reinforcement, w,min = (0,08fck)/fyk

    Maximum longitudinal spacing, sl,max = 0,75d (1 + cot)

    Maximum transverse spacing, st,max = 0,75d 600 mm

    EC2: Cl. 9.2.2

    For vertical links sl,max = 0,75d

    Shear Design

    d

    V

    z

    x

    d

    x

    V

    z

    s

    EC2: Cl. 6.2.3

  • For members without shear reinforcement this is satisfied with al = d

    a lFtd

    a l

    Envelope of (MEd /z +NEd) Acting tensile force

    Resisting tensile force

    lbdlbd

    lbd

    lbd

    lbd lbdlbd

    lbdFtd

    Shift rule

    Curtailment of reinforcement

    EC2: Cl. 9.2.1.3, Fig 9.2

    For members with shear reinforcement: al = 0.5 z Cot But it is always conservative to use al = 1.125d

    lbd is required from the line of contact of the support.

    Simple support (indirect) Simple support (direct)

    As bottom steel at support 0.25 As provided in the span

    Transverse pressure may only be taken into account with

    a direct support.

    Shear shift rule

    al

    Tensile Force Envelope

    Anchorage of Bottom Reinforcement at End Supports

    EC2: Cl. 9.2.1.4

  • Simplified Detailing Rules for Beams

    h /31

    h /21

    B

    A

    h /32 h /22

    supporting beam with height h1

    supported beam with height h2 (h1 h2)

    The supporting reinforcement is in

    addition to that required for other

    reasons

    A

    B

    The supporting links may be placed in a zone beyond

    the intersection of beams

    Supporting Reinforcement at Indirect Supports

    Plan view

    EC2: Cl. 9.2.5

  • Curtailment as beams except for the Shift rule al = d

    may be used

    Flexural Reinforcement min and max areas as beam

    Secondary transverse steel not less than 20% main

    reinforcement

    Reinforcement at Free Edges

    Solid slabsEC2: Cl. 9.3

    Where partial fixity exists, not taken into account in design: Internal

    supports: As,top 0,25As for Mmax in adjacent spanEnd supports: As,top 0,15As for Mmax in adjacent span

    This top reinforcement should extend 0,2 adjacent span

    Solid slabsEC2: Cl. 9.3

  • Distribution of moments

    EC2: Table I.1

    Particular rules for flat slabs

    Arrangement of reinforcement should reflect behaviour under working conditions.

    At internal columns 0.5At should be placed in a width = 0.25 panel width.

    At least two bottom bars should pass through internal columns in each orthogonal directions.

    Particular rules for flat slabs

    EC2: Cl. 9.4

  • h 4b

    min 12 As,min = 0,10NEd/fyd but 0,002 Ac

    As,max = 0.04 Ac (0,08Ac at laps)

    Minimum number of bars in a circular column is 4.

    Where direction of longitudinal bars changes more than

    1:12 the spacing of transverse reinforcement should be

    calculated.

    Columns

    EC2: Cl. 9.5.2

    scl,tmax = min {20 min; b ; 400mm}

    150mm

    150mm

    scl,tmax

    scl,tmax should be reduced by a factor 0,6:

    in sections within h above or below a beam

    or slab

    near lapped joints where > 14. A min of 3 bars is required in lap length

    scl,tmax = min {12 min; 0.6b ; 240mm}

    Columns

    EC2: Cl. 9.5.3

  • Walls

    As,vmin = 0,002 Ac (half located at each face) As,vmax = 0.04 Ac (0,08Ac at laps) svmax = 3 wall thickness or 400mm

    Vertical Reinforcement

    Horizontal Reinforcement As,hmin = 0,25 Vert. Rein. or 0,001Ac shmax = 400mmTransverse Reinforcement

    Where total vert. rein. exceeds 0,02 Ac links required as for columns

    Where main rein. placed closest to face of wall links are required (at least 4No. m2). [Not required for welded mesh or bars 16mm with cover at least 2.]

    Detailing Comparisons

    d or 150 mm from main bar9.2.2 (8): 0.75 d 600 mm

    9.2.1.2 (3) or 15 from main barst,max

    0.75d9.2.2 (6): 0.75 dsl,max

    0.4 b s/0.87 fyv9.2.2 (5): (0.08 b s fck)/fykAsw,minLinks

    Table 3.28Table 7.3NSmax

    dg + 5 mm or 8.2 (2): dg + 5 mm or or 20mmsminSpacing of Main Bars

    0.04 bh9.2.1.1 (3): 0.04 bdAs,max

    0.002 bh--As,min

    Main Bars in Compression

    0.04 bh9.2.1.1 (3): 0.04 bdAs,max

    0.0013 bh9.2.1.1 (1): 0.26 fctm/fykbd 0.0013 bd

    As,min

    ValuesClause / ValuesMain Bars in Tension

    BS 8110EC2Beams

  • Detailing Comparisons

    places of maximum moment:

    main: 2h 250 mm

    secondary: 3h 400 mm

    3d or 750 mmsecondary: 3.5h 450 mmSmax

    dg + 5 mm or 8.2 (2): dg + 5 mm or or 20mm9.3.1.1 (3): main 3h 400 mm

    smin

    Spacing of Bars

    0.04 bh9.2.1.1 (3): 0.04 bdAs,max

    0.002 bh9.3.1.1 (2): 0.2As for single way

    slabs

    As,min

    Secondary Transverse Bars

    0.04 bh0.04 bdAs,max

    0.0013 bh9.2.1.1 (1): 0.26 fctm/fykbd 0.0013 bd

    As,min

    ValuesClause / ValuesMain Bars in Tension

    BS 8110EC2Slabs

    Detailing Comparisons

    Columns

    150 mm from main bar9.5.3 (6): 150 mm from main bar

    129.5.3 (3): min (12min; 0.6 b;240 mm)Scl,tmax0.25 or 6 mm9.5.3 (1) 0.25 or 6 mmMin size

    Links

    0.06 bh9.5.2 (3): 0.04 bhAs,max

    0.004 bh9.5.2 (2): 0.10NEd/fyk 0.002bhAs,min

    Main Bars in Compression

    1.5d9.4.3 (1):

    within 1st control perim.: 1.5d

    outside 1st control perim.: 2d

    St

    0.75d9.4.3 (1): 0.75dSr

    Spacing of Links

    Total = 0.4ud/0.87fyv9.4.3 (2): Link leg = 0.053 sr st(fck)/fykAsw,min

    ValuesClause / ValuesLinks

    BS 8110EC2Punching Shear

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