Formula To Find The Slope Of A Roof

Tan 45o 1 00.

Formula to find the slope of a roof.

As a sanity check we confirm that the tangent of 45 degrees is 1 or that two opposed 45 degree or 12 in 12 slope roof surfaces will form a 90 degree angle where they meet at the ridge and will form 45 degree angles where they meet the wall top plate or with respect to any horizontal line in the building. Just write down the measurements you found. The run always remains constant at 12 inches. Outside of the u s a degree angle is typically used.

Roof slope is also called as roof pitch. Use the following formula which also describes a right triangle. That is the roof s rise. It is often compared to slope but is not exactly the same.

How to calculate roof pitch. Rafter rise run from the pythagorean theorem. First find the slope by finding the tangent of the degrees eg. Generally roof pitch is calculated from the same formula that describes a right triangle.

The slope of your roof is the ratio of vertical distance rise to horizontal distance run. You can also calculate roof pitch even without using a roof slope calculator. Roof pitch degree table. 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.

You can use the following equations to find the length of the rafter and the slope. In the imperial unit of measurements the slope is expressed with the rise and run. Image 1 12 to 12 12 roof pitch 7 12 pitch. Rise run pitch where pitch is expressed in percent.

Rafter rise run this formula is from the pythagorean theorem. This is very useful information for many purposes especially for roof framing the slope sometimes called pitch is calibrated on speed squares. If you know the angle of the roof in degrees you can find the roof pitch by converting the angle in degrees to a slope then finding the rise by multiplying the slope by 12. For instance a 7 12 roof pitch means that the roof rises 7 inches for every 12 horizontal inches.

In the united states a run of 12 inches 1 foot is used and pitch is measured as the rise of the roof over 12 inches. In civil engineering the slope is the numerical measure of the steepness of a roof. Then multiply the slope by 12 to get the rise. There s no need to simplify them.

Roof pitch calculator results explained slope the slope of a roof is represented as x 12 where x is the number of inches in rise for every 12 inches of run. There are two main categories of roofing. A flat roof has a slope of 2 in 12 or less. By slope angle formula steepness can be obtained by dividing vertical rise by horizontal span.

Conventional slope roof range between 4 in 12 and 8 in 12. Slope tan degrees.