6th topic

6.2.2. Exercises with roofs

If we need to cover a rectangular building, we can do it with one, two, three, or four planes (slopes).


A roof can be categorized according to the number of its sides: single-pitched, double-pitched, three-pitched, four-pitched. These terms are also sometimes used to name roof types.


This exercise will help you to learn more about roof types.

Picture 6.13. Roof horizontals and slope line


Characteristic elements of a lean-to roof (single-pitched). Horizontal and slope lines are shown in Pic. 6.13


Picture 6.14. Gable roof projections

A gable roof (double-pitched) (Pic. 6.14) consists of two planes whose horizontals are parallel.


If the angle of inclination of the roof planes are the same, then the line of intersection of the planes (roof ridge) is parallel and equidistant from the horizontals at the same height. As the roof height changes, the top view does not change.


Picture 6.15. Hipped roof projections


A hip roof (four-pitched) is the intersection of two planes having the same slope.


If the angle of inclination of the roof planes are the same, then the horizontal projection of the line of intersection of these planes will be the bisector of the angle formed by the horizontals of the roof planes (Pic. 6.15).


Picture 6.16. Cross-hipped roof projections


Construction of a cross-hipped roof (Pic. 6.16). All roof planes have the same slope. All eaves are at the same height.


All lines of intersection of the roof planes are either perimeter bisector lines (red) or lines parallel to opposite perimeter lines (blue). 

Black arrows indicate slope lines.





Find the gable roof projections. Click on the correct image(s).

Picture 6.17. Checkpoints of roof construction               

Roof construction checkpoints (Pic. 6.17). 

The interactive video below shows the construction of a plan and the front projection of a hip and valley roof, as well as the construction of several sides of the roof. Answer the question at the end of the video.