Beam Calculations

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Calculations of beam structure

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  • Pos.: Single beam:to EN 1992-1-1:2004

    a

    l

    qCentroid of Tension

    reinforcement

    Section properties:Span L = 2,80 mWidth b = 0,24 mDepth h = 0,58 mCentroid of tension reinforcement a = 0,02 mAssumed bar size ds1 = 0,025 mnom_c = 0,035 m

    Materials and characteristic strengths:Concrete = SEL("concrete/EC"; Name; fck 50) = C30/37Steel = 500 Sfck = TAB("concrete/EC"; fck; Name=Concrete) = 30,00 N/mmfyk = TAB("reinf/Steel"; s; Name=Steel) = 500 MN/mfyd= fyk / 1,15 = 434,78 N/mmcc = 1,00

    fcd =*fck cc

    1,5= 20,00 N/mm

    Partial safety factors:G = 1,35 Q = 1,50

    Actions on span:

    from dead load: b * h * 25 = 3,48 kN/mfrom nib: b * 1,35 * 25 = 8,10 kN/mfrom Pos. 201: 48,50 kN/m

    max qg = 60,08 kN/m

    live load from Pos1: 20,00 kN/mlive load from Pos2: 37,50 kN/m

    max qq = 57,50 kN/m

    Design values and analysis:

    MG =*qg L

    2

    8= 58,88 kNm

  • MQ =*qq L

    2

    8= 56,35 kNm

    MEd = G * MG + Q * MQ = 164,01 kNmd = h - nom_c - a - ds1 / 2 = 0,512 mzs1 = d - h / 2 = 0,22 mMEd,s = ABS(MEd) = 164,01 kNm

    Ed,s =*MEd,s 10

    -3

    *b *d2

    fcd= 0,130

    = TAB("reinf/Ecmy"; ; =Ed,s) = 0,140

    req_As=* *d *b *10

    4fcd

    fyd= 7,91 cm

    Provide four 16 mm bars

    Bar size ds = SEL("reinf/As"; ds; ) = 16 mmAs,sel = SEL("reinf/As"; Name; ds = ds; Asreq_As) = 4 16prov_As = TAB("reinf/As"; As; Name=As,sel) = 8,04 cm

    req_As / prov_As = 0,98 < 1