General Information

Figure 1 shows a steel canopy roof.

Canopy roof.
Steel canopy roof with double-tapered I-beams, suspension rods, fly braces, sag rods , and roof cross braces.

Bending Moment Distribution

Figure 2 shows a roof structure sector.

Canopy roof structure.
Steel canopy roof structure viewed from below.

The steel structure consists mainly of beams, suspension rods, purlins, sag rods, fly braces, roof cross braces, and metal roofing sheets. The beams are made of double-tapered I-sections; their length l ≅ 5 m, and the spacing ≅ 4.5 m. The largest cross-section is located at a distance from the building of 0.4l (suspension rod connection). Two fly brace pairs made of L-sections are installed per beam, and the purlins are made of Z-channels.

  • What are some possible reasons to connect the suspension rods to the beams at 0.4l?
  • Figure 3 shows the connection between the beam and the suspension rod.

    Beam to suspension rod connection.
    Connection between double-tapered I-beam and suspension rod of a canopy roof.

    The suspension rod is made of a square hollow section, and the connection to the beam consists of a base plate with a stiffener and four bolts and nuts, which are installed in the four corner regions of the base plate; vertical web stiffeners are installed near the bolts. The ratio between the suspension rod side length (a) and the height (h) of the beam is r = 0.25, and the suspension rod is about 3.5 meters long.

  • What is the structural purpose of the stiffener and web stiffeners?
  • Figure 4 shows two structural models.

    Structural models.
    Model 1 Model 2
    Structural models of steel canopy roofs with suspension rods.

    Model 1 is the above shown canopy roof, while model 2 has stiffer suspension rods (same stiffness as the beam's maximal stiffness). The red arrows (F) represent forces placed at the free end of the beams. Assume that the connections between the beams and the suspension rods are of type fixed, and the connections to the building are of type hinged.

  • Do the canopy roofs have the same bending moment distribution?
    What affects the bending moment distribution of the beams and the suspension rods?
  • Fly Bracing

    Figure 5 shows a roof structure sector.

    Canopy roof structure.
    Steel canopy roof structure with fly braces viewed from below.

    The fly braces are connected to the webs of the beams (bottom region) and the webs of the purlins. Fly braces are not installed under purlin 3 (near the suspension rod connection). Fgure 6 shows a fly-braced beam.

    Fly-braced beam.
    Fly-braced beam of a steel canopy roof.
  • When and where are fly braces required?
  • Alternative Variant

    Figure 7 shows a schematic lateral view of the canopy roof.

    Canopy roof.
    Lateral drawing of steel canopy roof with suspension rods, fly braces, sag rods, and roof cross braces.
  • Would an alternative variant with beams made of non-tapered sections without fly braces, sag rods, and roof cross braces be possible?