Thin Walled Composite Filled Beam
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Thin Walled Composite Filled Beam (TWC); OS & WE Sections

Thin Walled Composite Filled Beam (TWC); OS & WE Sections

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Thin Walled Composite Filled Beam Presentation Transcript

  • 1. 1
    Mahmoud Shaaban
  • 2. Solution: for OS Beam
    a/b = 5000 / 300 = 16.67
    From the graph, assume Є = 0, kb = 24
    2
    Mahmoud Shaaban
  • 3. σb = 24 π2x 205000 (3/300)2
    12 (1 – 0.32)
    σb = 444.6 Mpa
    σ b > Fsy; Design should be on Fsy in equation 11 for the moment
    For OS Beam:
    Pb = Σo.x.Fb where Σo = 150+2x300+2x55 = 860
    = 860x2500x0.1 fb = 0.1
    = 215000 N x = 5000/2 = 2500
    3
    Mahmoud Shaaban
  • 4. Since Y = 0, Frt & Frc = 0
    Using eq. 2 for Nc
    bc = bs = 2ts – 2 tsc
    = 150 – 2x3 – 0 = 144
    α = 0.85 – 0.007 (30-28)
    = 0.836
    Nc = 215000
    0.85x30x0.836x144
    Nc = 70.03 mm
    4
    Mahmoud Shaaban
  • 5. Using eq 8 (y=0) to find Ns
    Ns = 350 x 3 (2x300 + 150 – 2x55) – 215000
    4 (3x350)
    Ns = 108.8 mm
    Using eq 11 to find Mu
    Mu = 3x350 (3002 + 300x150 – 2x108.82)
    – 0.425 x 0.8362 x 70.032x150x30
    Mu = 110 KNm
    W = 8 Mu/L2 = 8x 110 / 52 = 35.2 KN/m
    5
    Mahmoud Shaaban
  • 6. WE BEAM
    Y should equal d/2 or d/4
    Y = d/2 = 300/2 = 150 mm
    tse = 3 mm
    Ast = Asc = 0
    Using Є = 0
    a/b = 16.66 Kb = 24
    σ b > Fsy; Design should be on Fsy in equation 11 for the moment
    6
    Mahmoud Shaaban
  • 7. Pb = Σo.x.Fb where Σo = 860 + 4Y = 1460 mm
    = 1460x2500x0.1 fb = 0.1
    = 365000 N x = 5000/2 = 2500
    Using eq2. to find Nc
    bc= 150-2x3-2x3 = 138
    Nc = 365000
    0.85x30x0.836x138
    Nc = 124.07 mm
    7
    Mahmoud Shaaban
  • 8. Using eq 7. to find Ns
    Ns = 350x3 (2x300+150-2x55)+2x150x3x350-365000
    4 (3x350 + 3x350)
    Ns = 74.05 mm
    Mahmoud Shaaban
    8
  • 9. Since Y > Ns then will use eq10 to find Mu
    Mu = 3x350 (3002+300x150-2x74.052)
    + 3x350 (1502 – 2x74.052)
    - 0.425x0.8362x124.072x138x30
    Mu = 123.4 kNm
    W = 8Mu/L2 = 8x 123.4/52 = 39.48 kN/m
    9
    Mahmoud Shaaban