General Information
Figure 1 shows a canopy roof.
![Steel canopy roof with inverted pyramid columns.](canopy-roofs/structure-11/1-canopy-roof.jpg)
Inverted Pyramid
Figure 2 shows the canopy roof.
![Steel canopy roof with inverted pyramid columns.](canopy-roofs/structure-11/2-canopy-roof.jpg)
The structure consists of four columns, four transverse beams (marked by the numbers), tie beams, purlins, sag rods, and metal roofing sheets. The distance between the columns/transverse beams s ≅ 7 m, the purlin overhang a ≅ 4 m, and the width/transverse beam length l ≅ 11 m. The colums are made of a reinforced concrete part and a steel part, as shown in figure 3.
![Inverted pyramid column.](canopy-roofs/structure-11/3-inverted-pyramid.jpg)
The steel part consists of an inverted four-sided pyramid with two levels of perimetral beams and a vertical member, which is connected to the RC part by a base plate with stiffeners and anchor bolts. The steel part is made of circular hollow profiles, while the RC part has a circular cross-section. The base vertices A and B are connected to the transverse beams, while C and D are connected to the tie beams. The transverse- and the tie beams are made of an I-section of the same size and placed at the same elevation. A schematic lateral view and a variant lateral view with a vertical steel column are shown in figure 4.
![Canopy roof lateral views.](canopy-roofs/structure-11/4-lateral-view.jpg)
The transverse beam is supported at three points (O, B, and A) in the used variant, while at two points (O and G) in the vertical steel column variant. O is the support at the RC structure of the building. Both columns have a height of about 8.5 m and the same spacing (s); the RC sector is about 3 m.
Which variant will probably use fewer resources for the columns?
Does the inverted pyramid column have an RC sector for efficiency reasons?
Figure 5 shows a schematic layout of the roof.
![Layout of a canopy roof with inverted pyramid columns.](canopy-roofs/structure-11/5-layout.jpg)
The tie beams are marked in red. Figure 6 shows a bottom view of the canopy roof.
![Bottom view of a canopy roof.](canopy-roofs/structure-11/6-tie-beams.jpg)
Can the tie beams be neglected?