Sloped Steel Canopy with Box-Section Roof Grid

I have a canopy structure made of steel box-section columns measuring 10 × 10 cm. The rear columns, which are attached to the building, have a height of 5 meters. The roof of the canopy is constructed from 6 × 6 cm steel box sections. These box sections are arranged in two perpendicular directions, forming a grid pattern similar to a chessboard, where the steel sections form the boundaries between the individual squares. The clear internal dimensions of each square are 60 cm × 60 cm. In other words, the clear distance between one edge of a steel box section and the nearest edge of the adjacent parallel box section is exactly 60 cm. At the beginning of the canopy, where the roof connects to the building, the roof has an initial slope of 3 degrees. After the first two rows of grid squares, the slope changes from 3 degrees to 15 degrees. The transition occurs over a horizontal length of 132 cm, calculated as follows: - 6 cm: width of the first transverse box section - 60 cm: clear width of the first row of squares - 6 cm: width of the second transverse box section - 60 cm: clear width of the second row of squares Therefore: 6 + 60 + 6 + 60 = 132 cm After this 132 cm transition section, the roof continues toward the front with a constant slope of 15 degrees. Please design this entire canopy structure according to the specifications above and assign a unique numerical ID/number to every intersection point where the steel box sections meet. The numbering of all intersection points must be systematic and unambiguous so that these points can be referenced later for further geometric calculations, structural analysis, dimensions, coordinates, and additional processing. The final design should clearly define: 1. The position and height of all columns. 2. The complete roof grid. 3. The exact dimensions of every grid cell. 4. The slope of each section of the roof. 5. The 132 cm transition zone where the slope changes from 3° to 15°. 6. The coordinates of every intersection point. 7. A unique numerical ID for every intersection point. 8. A consistent coordinate and numbering system that can be used for all subsequent calculations and modifications.

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