Formula To Find The Slope Of A Roof

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.

Formula to find the slope of a roof.

Tan 45o 1 00. It is often compared to slope but is not exactly the same. Roof pitch degree table. 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.

Image 1 12 to 12 12 roof pitch 7 12 pitch. The run always remains constant at 12 inches. You can also calculate roof pitch even without using a roof slope calculator. Roof slope style.

In civil engineering the slope is the numerical measure of the steepness of a roof. There s no need to simplify them. A low slope roof is anywhere from 2 in 12 to 4 in 12. Rise run pitch where pitch is expressed in percent.

How to calculate roof pitch. Outside of the u s a degree angle is typically used. 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. 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.

For instance a 7 12 roof pitch means that the roof rises 7 inches for every 12 horizontal inches. Then multiply the slope by 12 to get the rise. Generally roof pitch is calculated from the same formula that describes a right triangle. 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.

In the imperial unit of measurements the slope is expressed with the rise and run. There are two main categories of roofing. Slope tan degrees. Just write down the measurements you found.

Here are the equations you may use to solve for the length of the slope and the rafter. Conventional slope roof range between 4 in 12 and 8 in 12. The slope of your roof is the ratio of vertical distance rise to horizontal distance run. First find the slope by finding the tangent of the degrees eg.

This is very useful information for many purposes especially for roof framing the slope sometimes called pitch is calibrated on speed squares. Use the following formula which also describes a right triangle. Rafter rise run this formula is from the pythagorean theorem. That is the roof s rise.

Rafter rise run from the pythagorean theorem. You can use the following equations to find the length of the rafter and the slope.