Method 2: We can also use the following solution Method 1: If the pitch is given as a ratio 1:x, we can do the following to find x: Problem: Given a roof with the rise of 4m and a run equalling 12m.Ĭalculate the pitch of the roof and give it as a ratio! This means x = 1,5 and shows how many runs fit into the rise.ĭifferent ways to calculate the pitch of a roof Than tan > 1, the run will be a constant with the value of 1.Įxample: Given a pitch of 1,5 : 1. The angle of the roof is more than 45° or in other words the ratio is bigger The value of x shows how many heights till the edge the roof.Įxample: if x=2, then 1:2=0,5. The distance from the rise of the roof to the edge is marked with x (also called the run). To express the roof pitch as a ratio, the height or so To calculate the pitch we use the tangent function, meaning 1:1=1, where Ratio of the roof pitch is 1:1, we are talking about an isosceles triangle and the roof pitch can be given as 45°. The partition of quarters can be seen in the image below :Ībout expressing the pitch as a ratio, it will be the ratio of the length of Roof pitch, trigonometrically seen, one side of a roof is in the I quarter and the opposite side in the II quarter. In the graph below, we can see that in case of a These different values are related to each other:Ĭircle equals 360 degrees. We know that on traffic signs the slope of a road is also This means we cannot use rolled metal for flat roofs because it wouldħ: bitumen wave plate and tin roof sheetsĬan also see the different values given as a ratio - for a slope of 5° the ratio is 1:12. For example, in the case of rolled metal roofs it can On the figure below, the various permitted pitches for different roof In geometry or the tangent function in trigonometry. Vertical rise divided by its horizontal span (or "run") -called slope Roof as 30° but prefer to use the pitch of the roof. Below are pictured some different shaped pitched roofs : There are also roofs that are not so simply shaped. Pitched roofs can be in many different shapes, most common ones are gable and hipped roofs. Here we can see the different angles and shapes than can occur on This creates a number of different slopes in one spot which need to be attuned together (constructed). The situation becomes moreĬomplicated when two or more pitched roofs are joined together. Pictured below is an example of a flat roof and a pitched roof:Īs we can see, the simplest and most common pitched roof is shaped as a single triangle. Which causes blockages when the water turns into ice otherįor this reason, throughout time, pitched roofs have been preferred One of the main reasons for blocked drainages is the cold weather Pitched roof is preferred so that rain water would not be accumulated on theĪ flat roof. ItĬalculate the steepness of a roof - the roof It is almost impossible to frame a roof without knowing any mathematics, especially trigonometry. Any carpenter knows that the basis for roof framing is math.
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