General Information

Figure 1 shows a single floor commercial building.

Single floor commercial building.
Single floor commercial building

Pyramid Roof with Cupola

Figure 2 shows the building.

Single floor commercial building.
Single floor commercial building with main measurements

The building has a square base with a side length (s) of about 16.5 m. The roof structure is made of steel, while the cover is made of roof tiles. The cupola has a square base of about 2 m x 2 m; the elevations are as follows: roof base support (h) ≅ 6 m, cupola base (hr) ≅ 10 m, and cupola top (hc) ≅ 12 m. The roof structure is supported by twelve perimetral RC columns and a central structure, which consists of two internal RC columns and a steel unit. Figure 3 shows a schematic layout of the building.

Layout.
Structural layout of a pyramid roof with cupola

Figure 4 shows the roof and the central structure viewed from below.

Pyramid roof with cupola structure.
Pyramid roof with cupola structure

The two internal columns carry the steel unit, which consists of a beam, a square frame (bigger than the cupola base frame), four knee braces, and six columns (marked by the letters). There are two vertical and four inclined columns; the former (E and F) are placed over the beam and connected to the cupola base frame at positions 2 and 5, and the latter are placed over the four square frame corners and connected to the cupola base frame corners (e.g., column A is connected to the cupola base frame at position 1). The cupola base frame is also connected to four hip rafters, common rafters, and the cupola. Figure 5 shows a schematic three-dimensional view of the central structure, the cupola base frame, and the cupola.

Three-dimensional view.
Partial three-dimensional drawing of a pyramid roof with cupola structure

The steel unit is marked in red. Figure 6 shows a schematic three-dimensional view of the building without the central structure.

Three-dimensional view.
Partial three-dimensional drawing of a pyramid roof with cupola structure
  • Would it be possible to design the pyramid roof with cupola without the central structure?