Pitch Of A Roof Math

Roof pitch refers to the measurement of the slope of a roof and you express this as a ratio.

Pitch of a roof math.

Here is a list of common rafter lengths for common pitches. Although there s isn t any standard pitch of a roof used on all kinds of sloped roofs you can determine the range of pitches by using a roof angle calculator and by considering factors like the local climate and roofing materials. Roof pitch or slope is a measure of vertical rise to horizontal run expressed in inches per foot. The picture below shows the pitch of a 7 12 roof slope meaning that for 12 of horizontal measurement roof run the vertical measurement roof rise is 7.

Any carpenter knows that the basis for roof framing is math. This measurement is best done on a bare roof because curled up roofing shingles will impair your measurement. Slope is the correct term for the ratio of vertical to horizontal distance on a particular plane of the roof. No just plain old mathematics.

Even carpenters often use the terms slope and pitch. The two coordinates 4 9 and 2 1 can be used to get a slope of 4. Roof pitch is used to describe the slope or angle of the roof. For instance a 4 12 pitch roof with a 12 foot run would be 12 x 1 055 which equals 12 66 feet.

Add 2 feet of overhang and the total would be a rafter that is 14 66 feet long. The roof is a triangle that can be broken down into ratios. Notice that 9 1 8 and 9 and 1 represent y coordinates. The maths behind this number is that it is the square root of rise run 2 1.

Pitches pitched roofs. Since we cannot call both coordinates y we can call one y 1 and call the other y 2 let y 1 9 let y 2 1 therefore 9 1 y 1 y 2 8 rise notice also by the same token that 4 2 2 and 4 and 2 represent x coordinates. It is almost impossible to frame a roof without knowing any mathematics especially trigonometry. A roof pitch multiplier also known as a roof pitch factor is a number that when multiplied by the area covered by a sloped roof gives the actual area of the roof.

In nordic climate a pitched roof is preferred so that rain water would not be accumulated on the roof which would happen in case.