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    Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P1

    CORCON

    Desi n, Construction and Technical Information Manual

    SIMPLE DESIGN CHART & SAMPLE CALCULATIONS

    INDEX

    DESIGN CONSIDERATIONS P2

    SIMPLE DESIGN LOAD AND SPAN CHARTS FOR CORCON P3

    SAMPLE CALCULATION P6

    BEAM DESIGN P15

    REFERENCE FIGURES FOR DESIGN P24

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    Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P2

    CORCON

    Desi n, Construction and Technical Information Manual

    DESIGN CONSIDERATIONS

    CORCON

    is a hybrid moltiribbed slab +beam system using the best properties of a slabcoupled with all the advantages of the beam used to stiffen the slab in deflection.

    CORCON is a flexible system that can be applied to any span and loading

    configuration by the use of inserts which can be used to vary the depth of the CORCON

    rib beams - from a nominal 50 m2

    depression to 300 m2

    deep for extra heavy loads and or

    long Spam over 8 to 9m. Also by reducing the (c to c) centre to centre spacing from 1200

    m2

    and continuity the spam can be increased to 26m using post-tensioning.

    Small spans - say 3m- use CORCON

    with "FLAT" insert mould (see the Figure below):

    If require structural primary beams could always use upstand beams subject to

    requirements. (see the Figure below):

    This upstand systems allows continuous layting ofCORCON ribs.

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    Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P3

    CORCON

    Desi n, Construction and Technical Information Manual

    SIMPLE DESIGN LOAD AND SPAN CHARTS FOR CORCON

    Beams @ 1200 Centres

    Single SpanAllowable superimposed live load (KPa)

    C to C spans metresBeamDepth

    d mm

    Reqd

    bar

    size

    overla

    p

    AvgConc

    .vol

    m3/m2*

    Totaldepth

    mm 4.0 5.0 5.5 6.0 6.5 7.0 7.5 8.0 8.5 9.0 10.0 11.0 14.0

    50 2Y12 0.12 184 3

    75 2Y12 0.12 209 5 .5^

    100 2Y12 0.12 234 5 1.5150 2Y12 0.12 284 5 2.5 1

    200 2Y12 0.12 334 4 4 2 1^

    250 2Y16 0.13 384 5 5 3.5 2 0.3 3**

    300 2Y16 0,14 414 5 5 4 2 1^ 5** 3** 2***

    1.5 hour fire rating, stc 49, min cover 85mm,

    f62 mesh top & 1/250 deflection

    * based on 20m2 room

    ^ roof loads

    ** post tensioned

    *** continuous post tensioned built in primary beam

    Single Span

    Allowable superimposed live load (KPa)

    C to C spans metresBeam

    Depth

    d mm

    Reqdbar

    sizeoverlap

    AvgConc.

    volm3/m2*

    Total

    depth

    mm 3.0 3.5 4.0 4.5 5.0 5.5 6.0 6.5 7.0 7.5 8.0 8.5 9.0 9.5

    50 2Y12 0.10 164 5 5 3 1 1

    100 2Y12 0.10 214 5 4.5 2.5 .05

    150 2Y12 0.10 264 5 3.5 1.5

    200 2Y12 0.11 314 4 2 1

    250 2Y16 0.11 364 5 5 4 2 1.5 0.5

    300 2Y16 0.12 414 5 5 5 3.5 2 1

    0.5-hour fire rating, min cover 65mm,

    f62 mesh top & 1/250 deflection

    * based on 20m2 room

    ^ roof loads

    Continuous Span

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    Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P4

    CORCON

    Desi n, Construction and Technical Information Manual

    Allowable superimposed live load (KPa) and

    deflection to span ratio.

    C to C spans metres

    BeamDepth

    d mm

    Reqdbar

    sizeoverlap

    AvgConc.

    volm3/m2*

    Totaldepth

    mm5.0 5.5 6.0 6.5 7.0 7.5 8.0 8.5 9.0 9.5

    10.0

    10.5

    11.0

    50 2Y12 0.12* 184

    2

    1/2

    70

    75 2Y12 0.12* 209

    21/2

    75

    100 2Y12 0.12* 234

    2

    1/300

    150 2Y12 0.12* 284

    2

    1/2

    75

    200 2Y12 0.13* 334

    2

    1/2

    75

    250 2Y16 0.13* 384

    2

    1/3

    50

    2

    1/3

    00

    300 2Y16 0.13* 434

    2

    1/3

    50

    2

    1/3

    00

    2

    1/2

    50

    1.5 hour fire rating, stc 49, min cover 85mm,

    f62 mesh & y16 @ 1200mm top

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    Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P5

    CORCON

    Desi n, Construction and Technical Information Manual

    SELECTED SECTION PROPERTIES

    b = 110mmB = 155MmD = 485mmd = 300mm

    Fck = 30N/mm2Fy = 460N/mm2

    Conc. Cover = 25mmRib Spacing = 900mm

    Cross sectional Area = 177954.57mm2

    Moment of Inertia Ixx = 2468.22E6 mm4Reinforcement at Mid-Span = 2 * T16 mm Dia.Reinforcement at Supports = 3 T 12mm Dia.Moment Capacity at Mid Span = 69.08KN-mSection Capacity at Support = 81.03Actual Deflection = 1.14mmShear Capacity = 0.86N/Sq.mmShear Reinforcement = Please check CORCON test Results.Concrete Volume per Sq.m of Plan Area = 0.15Cub.mReinforcement per Sq.m of Plan Area = 0.26Kg

    B

    dD

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    Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P6

    CORCON

    Desi n, Construction and Technical Information Manual

    SAMPLE CALCULATION

    PROJECT

    The Sukhothai BangkokJOB REF

    DECOIN PTY LTDACN 008 625 590ABN 30 008 625 590

    CALCULATION BY

    Upul Perera

    CHECKED

    BY

    CALC SHEET

    PART OF

    STRUCTURE

    PRINTED BYDecoin Pty Ltd

    DATE09/02/2003

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    Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P7

    CORCON

    Desi n, Construction and Technical Information Manual

    MEMBERREF

    LOAD CALCULATIONS

    Loading (Guest Room Area)

    (A) Rib Self weight = 3.36kN/m2

    Screed + Finishes = 1.177kN/m

    2

    Services = 0.225kN/m

    2

    Ceilings = 0.225kN/m

    2

    Partitions =421.8

    434.3

    kN/m2 - DL

    Imposed Lead 1.962kN/m

    2- LL

    n= 14.93 kN/m2

    (ult)

    Udl for Ribs DL = 8.421 x 1.2 = 10.1 kN/m

    LL = 1.962 x 1.2 = 2.4 kN/m

    (B) Plant Room Area

    Rib Self wt. = 3.36Screed = 1.1772

    Services =7622.4

    225.0

    kN/m2

    - DL

    Live Leads = 7.35 8kN/m

    2- LL

    N= 18.439 kN/m2

    (ULT)

    Udl for Ribs DL = 5.715 kN/m

    LL = 8.829 kN/m

    (C ) Storage Room,Rib self wt. = 3.36 kN/m

    2

    Screed = 1.177

    Services =7622.4

    225.0-

    kN/m2

    - DL

    Imposed Load 4.905 -kN/m2 - LL

    OUT PUT

    R

    efer

    ences

    to

    B

    S

    8110

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    Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P8

    CORCON

    Desi n, Construction and Technical Information Manual

    UDL for Ribs, DL = 5.715 kN/m

    LL = 5.886 kN/m

    MEMBERREF

    Specimen Calculation

    Loading for [live load of 300 kg/m2 Area]

    Ribbed slab self wt = 0.14 x 24 = 3.36 kN/m2Screed = 1.18

    Services = 0.225Ceilings = 0.225

    4.99 kN/m2

    DL

    Live Load = 2.943 kN/m2

    -LL

    Design Ultimate Load n = 4.99 x 1.4 + 2.943

    x 1.6

    = 11.69 kN/m2

    Uniformly Distributed Load on a Rib

    DL = 1.2 x 4.99 = 5.88 kN/m

    LL = 1.2 x 2.943 = 3.53 kN/m (service load)

    Three load combinations were considered. Please refer

    Prokon print out sheets #01 to #03.

    The rib beam is designed for max. sagging and hoggingmoment for each span, considering BM and SF envelopes.

    OUT PUT

    MEMBER

    REF

    BS8110

    Cl 3.3.4

    CALCULATIONS

    A. Durability and Fire Resistance of Rib Slab

    Exposure conditions: It is assumed that these rib beams are

    used in areas where the concrete surfaces are protected

    OUT PUT

    R

    eferences

    to

    B

    S

    8110

    Y20 Y20

    Area=140561 mm2 = 0.14 m2

    66

    125

    400

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    Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P9

    CORCON

    Desi n, Construction and Technical Information Manual

    BS8110Table 3.4

    BS 8110

    Table 3.5

    BS 8110Fig. 3.2

    against weather or aggressive conditions.

    Therefore treat as mild Exposure Conditions.

    For Grade 30 Concrete (30 Mpa) the Nominal coverrequirement is as 25 mm, for Durability requirement,

    Note: Above cover requirement is including links

    Nominal cover for Ribbed slab for : -

    01 hr. Fire Period = 20 mm02 hr. Fire Period = 35 mm for continuous beams

    45 mm for Simply Supported beams

    use 35 mm cover for bottom bars

    Minimum member Dimensions regeared for Ribbed

    beams, is 125 mm and Slab thickness of 95 mm for 1 hr

    fire rating?

    Same for 2-hr fire rating is 125 mm ribs & 125 mm slab

    thickness.

    MEMBER

    REF

    BS 8110

    Cl.3.4.4.4

    CALCULATIONS

    Design for bending.

    MaxM

    + re moment in the span = 71.1 kNm.

    Effective Depth(d) = 400 (35+6+15) = 344 mm

    OUT PUT

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    Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P10

    CORCON

    Desi n, Construction and Technical Information Manual

    BS 8110

    Table 3.27

    K= cufbd

    M2 303441179

    101.712

    6

    =0.017 < k = 0.156

    Hence Compression R/F is not required.

    Z=d [0.5 +

    9.0

    25.0k

    ] < 0.95d

    =344 x [0.5+

    9.0

    017.025.0 ]

    =344 x 0.98 >0.95d

    Z=0.95d=0.95x344=327mm

    Depth to Neutral axis x = (d-z)/0.45=(344-327)/0.45=37.8mm

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    Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P11

    CORCON

    Desi n, Construction and Technical Information Manual

    BS 8110

    Table 327

    M/bd2

    fcu =3033466

    10632

    6

    = 0.285 > k=0.156

    Compression Steel is required.

    Z=d [0.5 +

    9.0

    '25.0

    k]

    = 334[0.5 +

    9.0

    156.025.0 ]

    = 334 x 0.776

    = 259 mm

    x= (d-z)/0.45 = (384-259) / 0.45 = 166.6 mm

    Area of compression Reinforcements:

    A's=(k-k') fcubd2/0.87 fy(d-d')

    = 5633445087.0

    3346630156.0285.0 2

    =261.8 mm2

    Area of tension R/F : As = k' fcu bd2

    / 0.87fyz +A's

    As =25945087.0

    3346630156.0 2

    +261.8 = 601.6 mm

    2

    minimum tension R/F

    hb

    As

    w

    .min100 =0.26

    Asmin. =100

    4005.9526.0 = 99.3 mm

    2

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    Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P12

    CORCON

    Desi n, Construction and Technical Information Manual

    MEMBER

    REF

    BS 8110Table 3.9

    Or from

    equation:

    BS 8110Table 3.8

    BS 8110

    cl.3.4.56

    Table 3.8

    CALCULATIONS

    Check for Shear

    Maxm. shear force at 1st interior support = 60.6 kN,

    Take Maxm

    shear force at d away from face of the

    support:V=54.8 kN

    Tension Steel provided 2 Y 20 (628 mm2)

    bd

    As100=

    3345.95

    628100

    =1.968 v =3345.95

    108.54 3

    =1.718 N/

    mm2

    Design concrete shear stress vc

    vc = 0.793

    1

    100

    bvd

    As 41

    400

    d

    /m3

    1

    25

    cuf

    = 0.793

    1

    628100

    bvd

    4

    1

    25.1

    334/400

    3

    1

    25

    30

    vc = 0.79 1.250 25.1046.1 1.0625 = 0.878 N/ mm2

    Asv bv sv (v-vc) / 0.87 fyv

    sv cvsvyv

    vvb

    Af

    87.0

    898.0718.15.95

    23.2825087.0

    sv 153mm provide R6-150 c/c

    max shear link spacing 0.75d= 0.75 x 334 = 250 mm

    minimum link requirement Asv 0.4 bv sv / 0.87 fyv

    sv v

    svyv

    b

    Af

    4.0

    87.0

    5.954.0

    23.2825087.0

    = 322 mm

    OUT PUT

    Provide Shear links

    at 1st

    interiorsupport

    R6-150 mm c/c.

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    Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P13

    CORCON

    Desi n, Construction and Technical Information Manual

    provide nominal links @ R6 -225 c/c

    Provide Nominallinks R6-225 mmc/c.

    MEMBER

    REF

    Ref. BS 8110

    Table 3.10

    CALCULATIONS

    Check for Deflection, (250mm Rib -n = 11.69kN/m2

    b

    bw =

    1179

    5.95= 0.081

    basic span/Depth ratio = 16.76 (Value between simplysupported & continuous)

    fs=bsprov

    reqs

    yA

    Af

    18

    5

    .

    . = 1629

    538450

    85 = 240 N/

    mm2

    M/bd2

    =2

    6

    3441179

    101.71

    = 0.509

    Modification factor = 0.55 +

    0.2

    9.0120

    477

    2

    bd

    M

    fs

    M.F. = 0.55 +

    0.295.1509.09.0120

    240477

    Allowable span = 16.76 x 1.95 x 344 mm

    =11,242 mm > actual span 7,258 mm

    Hence: Deflection is satisfactory.

    OUT PUT

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    Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P14

    CORCON

    Desi n, Construction and Technical Information Manual

    CHECK FOR DEFLECTION (BS8110)

    DATA

    Bending moment at mid span = 114 kNm (Ultimate)

    Average web width (bw) = 95.5 mm

    Effective Flange width (b) = 1179 mm

    Effective depth at mid span (d) = 394 mm

    Actual span of rib = 7525 mm

    Strength of reinforcement (fy) = 450 N/mm2

    Area of steel required (Asreq.) = 778 mm2

    Area of steel provided (Aspro.) = 805 mm2

    Moment redisribution ratio = 1

    CALCULATIONS

    Basic Span/Span Depth ratio = 16.76

    The design service stress (fs) = 271.82 N/mm2

    Modification factor = 1.67 1.673

    Allowable Span = 11,046 mm

    Deflection is Satisfactory

    Table 3.10 of BS8110

    See the BS 8110- Table 3.10 Support ConditionsRectangularSections

    Flanged Beams with bw/b

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    Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P15

    CORCON

    Desi n, Construction and Technical Information Manual

    BEAM DESIGN

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    Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P16

    CORCON

    Desi n, Construction and Technical Information Manual

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    Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P17

    CORCON

    Desi n, Construction and Technical Information Manual

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    Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P18

    CORCON

    Desi n, Construction and Technical Information Manual

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    Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P19

    CORCON

    Desi n, Construction and Technical Information Manual

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    Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P20

    CORCON

    Desi n, Construction and Technical Information Manual

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    Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P21

    CORCON

    Desi n, Construction and Technical Information Manual

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    Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P22

    CORCON

    Desi n, Construction and Technical Information Manual

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    Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P23

    CORCON

    Desi n, Construction and Technical Information Manual

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    Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P24

    CORCON

    Desi n, Construction and Technical Information Manual

    REFERENCE FIGURES FOR DESIGN