Crack Width-KNS 25-10-11

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  • 7/31/2019 Crack Width-KNS 25-10-11

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    D (mm) = 125

    fck (MPa) = 25

    fy (MPa) = 415

    bar dia (mm) = 3 2

    spacing (mm) = 125 100

    As (mm2/m) = 628.0 502.4Max.dia (mm) = 10 8

    Eff. Cover d'(mm) = 30.0 29.0

    % Steel = 0.6611 0.5288

    Ec (MPa) = 25000 d (mm) = 95

    m = 16.0 N.A., x (mm) = 33.9

    fcb (MPa) = 11.2 fcb' (MPa) = 7.0

    fs (MPa) = 332.0 fs' (MPa) = 190.3

    Strain In Steel 0.001419

    Strain In Conc. 0.000360

    64

    0.110

    CLR COVER,TENSION (mm) = 25

    CLR COVER,COMP. (mm) =

    REINF.TENSION

    REINF.COMP.

    Strain incl.stiffening effect,

    em=0.001059

    acr (mm) =

    Crack Width (mm) =

    CRACKWIDTH AT MIDWAY BETWEEN TWO BARS

    CHECK FOR CRACK WIDTH

    REINF. DETAILS

    Service B.M. M(kN.m) =

    10

    25

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    Fy fy 415 N/mmFck fck 25 N/mmService Moment M 20 kN mWidth if Section b 1000 mm

    Over all Depth of Section D 200 mmEffective Cover C 25Diameter of Bar 10 mmSpacing / Number of Bar Spacing 125 mm C/C

    Effecitve Depth d = D-C 175 mmNumber of Bars in Section 9Area of Reinforcement As 706.8583 mmPt 0.0040

    Modulas Of Elasticity for Steel Es 200 kN/mmModulas Of Elasticity for Concrete 5000 (fck)^0.5 25 kN/mmLong Term Modulas of Elasticity Ece = Ec/2 12.5 kN/mmm (WSM = 280 / 3 cbc) Es / Ece 16

    Depth of N.A. / d 0.301Depth of N.A. x 52.61 mm

    Lever Arm Z d-(x/3) 157.5 mmTensile Stress in Steel fs 179.7 N/mmConcrete Compressive Stress fcb = 2*M/z/b/x 4.83 N/mmPermissible Stress in Steel fs = 0.8 fy 332.0 N/mmPermissible Stress in Concrete fcb = 0.45 fck 11.3 N/mm

    Crack Width CheckInput values in Red

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    Strain In Steel 1 =(D-x) fs / (d-x) / Es 0.00108Strain In Concrete 2 =b*(D-x)*(a-x)/3/Es/As/(d-x) 0.000419Strain due to stiffining effect m = 1 - 2 0.00066

    acr = a - /2 142 mmClear Cover Cmin = C - /2 20 mmCrack Width Wcr = 3 * acr * m/(1+2((acr-Cmin)/(D-x))) 0.106435 mm

    CRACKWIDTH AT MIDWAY BETWEEN TWO BARS

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    b (mm) = 450 12 0 0 0

    D (mm) = 1950 16 0 0 0

    fck (MPa) = 40 20 0 0 0

    fy (MPa) = 415 25 0 0 0

    32 6 6 6

    Bars in Layer = 6 6 6

    As, (mm2) = 4825 4825 4825Max.dia (mm) = 32 32 32

    Ec (MPa) = 31623 As (mm2) = 14476.5m = 12.6 Eff. Cover : Tension, d't (mm) = 81.5

    fcb (MPa) = 17.8 Steel Ratio: 0.0172

    fs (MPa) = 332.0

    d (mm) = 1869 fcb' (MPa) = 13.1

    N.A., x (mm) = 859.3 fs' (MPa) = 174.7

    44

    0.11

    pt, fraction =

    acr (mm) =

    Crack Width (mm) =

    CRACKWIDTCRACKWIDTH AT MIDWAY BETWEEN TWO BARS

    Strain In Steel

    Strain In Conc.

    #REF!

    39

    REINF. PROVIDED, TENSION

    Space betn.Bars (mm) =

    39 39

    bar dia (mm)

    Service B.M., M(kN.m) =

    Nos.: Layer1

    Nos.:Layer 2

    Nos.:Layer 3

    4000

    35

    clear cover to mainReinf.(mm) =

    32

    CHECK FOR CRACK WIDTH

    vert. dist.betn barsin layers (mm) =

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    0 0 0

    0 0 0

    0 0 0

    4 4 0

    0 0 0

    4 4 0

    1964 1964 0

    25 25 12

    3927.044.5

    0.0023

    0.000944

    0.000061

    52

    0.13

    Comp.Reinf, d'c (mm) =

    acr (mm) =

    Crack Width (mm) =

    H AT CORNER OF THE BEAM

    Strain incl.stiffining

    effect0.000883

    9595

    #REF!

    -

    REINF. PROVIDED, COMP.

    Nos.: Layer1

    Nos.: Layer2

    Nos.:Layer 3

    pc, fraction =

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    B1

    415

    b (mm) = 350 b (mm) =

    D (mm) = 425 Comp.Steel, d'c Tension Steel, d't D (mm) =

    fck (MPa) = 20 35 35 fck (MPa) =

    fy (MPa) =

    Tension, Ast = Comp, Asc =

    1007 012

    200 16

    600 20

    Stirrup Dia.(mm) = 8 25No. of Legs = 2 As, (mm2) =

    101 Max.dia (mm) =Ast (mm2) =

    1500

    Stirrup Dia.(mm) = 8No. of Legs = 2

    259 Asc for Xu=Xu,lim

    200 0157

    CALCULATIONS F

    Eff. Depth, d (mm) =

    Eff. Depth, d (mm) = 390 Ast,lim (mm2) = 1307 xu,max (mm) =

    xu,max (mm) = 187.20 Ast,min (mm2) = 305 Mu,lim (kN.m) =

    Mu,lim (kN.m) = 147.25 Ast,max(mm2) = 5950

    Eps,s = 0.00285 fs (MPa) = 352.55

    k =Mu / b/d2 = 2.25 Ast1 = 1007

    Asc = 0 Ast2 = 0

    1.484 -

    2.80 -

    0.45 1.11

    0.457 0.647

    101 -

    259 259

    300 300

    2. Sv = (0.87*fy*Asv/0.4/b (mm) =

    3. Sv,max , 300mm = EVALUATIO

    Tv (MPa) =

    Tc,max (MPa) =

    pt (%) =

    Tc (MPa) =

    1.Sv= 0.87*fy*Asv/(Tv-Tc)/b, (mm) =

    DESIGN CALCULATIONS FOR FLEXURE

    DESIGN CALCULATIONS FOR

    SHEAR

    FOR DESIGN

    SHEAR

    FOR MINIMUM

    SHEAR REINF.

    STRESS-STRAIN

    CURVE

    Eff. Cover : TensionSteel, (mm) = 40

    Stirrups Spacing for Minimum Shear Reinf (mm) =

    Provide Spacing (mm) =

    SHEAR CAPACITY, Vu for Min. shear reinf. (kN) =

    Eff. Cover : TensionSteel, (mm) = 40

    Design Spacing of Stirrups, Sv (mm) =

    FACTORED SHEAR CAPACITY FOR MIN. SHEAR STIRRUPS

    Ast' for minimum Shear Reinf. Region (mm2) = Space betn. Bars(mm) =

    Factored SF at Critical Section, Vu,c (kN) =

    Ast' at Critical Section for SF (mm2) =

    Factored B.M., Mu(kN.m) =

    120 bar dia (mm)

    DESIGN FOR FLEXURE Area of Steel, (mm2)

    3

    RECTANGULAR BEAM DESIGN :LIMIT STATE OF COLLAPSE IN

    FLEXURE & SHEAR : IS 456

    fy (MPa) = RECT. BEAM : CAO

    Effective Cover (mm)

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    289 289 VALID UPTO4. Sv,max= 0.75 d, (mm) =

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    B1

    100 100

    450 100

    350 450 525

    425 100 525

    20 100 100

    415

    50 288.2

    nos in layer 1 nos in layer2 500 288.2

    0 0 0

    3 0 3 50 144.0

    0 0 0 500 144.0

    0 0 0

    603 0 603

    16 0 16

    603.2

    79.25Eff. Cover : Tension Reinf, d't (mm) = 33.0

    Eff. Cover : Comp.Reinf, d'c (mm) = 33.0

    R LIMIT STATE OF COLLAPSE IN FLEXURE

    392.0 Ast,lim (mm2) = 1313188.16 Ast,min (mm2) = 305

    148.76 Ast,max (mm2) = 5950

    xu (mm) = 43.98 121.1

    C1 (kN) = 110.82 305.10

    a1 (mm) = 373.7 341.6

    Eps,s = 0.00087 0.00255

    fs (MPa) = 174.71 346.3C2 (kN) = 105.38 208.88

    a2 (mm) = 359.0 359.0

    C1+C2 (kN) = 216.20 513.98

    ENSION , T (kN) = 217.78 217.78

    Mu (kN.m) = 79.25 C > T

    VERSION REBAR CALCULATOR

    RESULT&CALCULATIONS

    LEARN, ITERATEYOURSELF

    FACTORED BM, Mu(kN.m) =

    Ast < Ast,lim

    126 - 126

    REINF. PROVIDED, TENSION

    vert. dist. betn barsin layers (mm) =

    25

    REINF.PROVIDED,

    COMPRESSION

    ACITY IN FLEXURE FOR LIMIT STATEF COLLAPSE : IS 456

    clear cover to mainReinf.(mm) =

    25

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    7/5/2009 bar dia (mm) nos.

    12 0

    16 0

    20 0

    25 0

    32 15

    As, cal (mm2) = 12060

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    3 0 3

    1 490 135.0 490.0 135.0 135.0 135.0

    2 490 275.0 490.0 135.0 135.0 275.0

    3 490 415.0 490.0 135.0 135.0 415.0

    4 490 415.0 490.0 135.0 135.0 415.0

    5 490 415.0 490.0 135.0 135.0 415.0

    6 490 415.0 490.0 135.0 135.0 415.0

    7 490 415.0 490.0 135.0 135.0 415.0

    8 490 415.0 490.0 135.0 135.0 415.0

    9 490 415.0 490.0 135.0 135.0 415.0

    10 490 415.0 490.0 135.0 135.0 415.0

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