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AT- beam roof section has following details.
Thickness of slab = 100 mm
Width of rib = 230 mrn
Overall depth of beam = 350 mm
Centre to centre distance of beams = 4m
Effective simply supported span of beams = 6m
Effective flange width is
  • a)
    4m    
  • b)
    2.36m    
  • c)
    3.28m    
  • d)
    1.83m
Correct answer is option 'D'. Can you explain this answer?
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AT- beam roof section has following details.Thickness of slab = 100 mm...

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AT- beam roof section has following details.Thickness of slab = 100 mm...
Details of AT-Beam Roof Section:

- Thickness of slab = 100 mm
- Width of rib = 230 mm
- Overall depth of beam = 350 mm
- Centre to centre distance of beams = 4m
- Effective simply supported span of beams = 6m

Effective Flange Width:

The effective flange width of the beam is the width of the beam that contributes to resisting the bending moment. It is the distance between the centerline of the beam and the point where the bending moment is maximum. In the given AT-Beam roof section, the effective flange width can be calculated as follows:

- Total width of the beam = Width of rib + Thickness of slab
= 230 mm + 100 mm = 330 mm
- Effective depth of the beam = Overall depth of beam - Thickness of slab
= 350 mm - 100 mm = 250 mm
- Lever arm = 0.9 x Effective depth
= 0.9 x 250 mm = 225 mm
- Maximum bending moment = wl^2/8
= (1.5 x 9.81 x 6^2)/8 = 103.59 kNm
- Effective flange width = Maximum bending moment / (0.85 x fck x lever arm)
= 103.59 x 10^6 / (0.85 x 25 x 225 x 10^-3)
= 1.83 m

Therefore, the correct answer is option 'D' i.e. 1.83 m.
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AT- beam roof section has following details.Thickness of slab = 100 mmWidth of rib = 230 mrnOverall depth of beam = 350 mmCentre to centre distance of beams = 4mEffective simply supported span of beams = 6mEffective flange width isa)4m b)2.36m c)3.28m d)1.83mCorrect answer is option 'D'. Can you explain this answer?
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