Roof Pitch Equation

Slope measures the angle of change in elevation which can be obtained by dividing rise by run and multiply the result with 100.

Roof pitch equation.

In civil engineering the slope is the numerical measure of the steepness of a roof. A roof s pitch is determined by how much it rises vertically for every foot it runs horizontally. This page offers you the rise and run formula to find the pitch slope angle of the roof of a building. Pitch tan angle where angle is the roof pitch expressed in degrees.

The angle or pitch of a roof is calculated by the number of inches it rises vertically for every 12 inches it extends horizontally. 48 10 4 8. The pitch value can be obtained by dividing n by 12 and divide s by the answer. 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.

The value displayed as the rise will be your x. It is computed by using the simple roof slope formula. Since pitch is the rise over a 12 inch run divide the run by 12 to get the multiplier in this case 120 12 10. In the imperial unit of measurements the slope is expressed with the rise and run.

Now divide the rise by the multiplier to get the pitch eg. A 12 in 12 pitch is a steep 45 degree angle roof. How to measure roof pitch. If you want to find the roof pitch in the form of x 12 simply calculate the pitch and substitute 12 for the run length.

See the image below for more explanation on rise run and pitch. Thus a moderate 6 in 12 roof pitch means that the roof rises 6 inches vertically for every 12 horizontal inches it runs. The calculator above can handle much of this math. For example a roof that rises 6 inches for every 12 inches of horizontal run has a 6 in 12 pitch.

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. As aforementioned there is no standard pitch of a roof. Express roof pitch as the ratio of the amount of the vertical rise of a roof or rise over the corresponding horizontal distance or run you write the pitch assuming a run of 12 inches thus the ratio would describe how much a roof rises for each foot of the run. This is very useful information for many purposes especially for roof framing the slope sometimes called pitch is calibrated on speed squares.

Roof angle can be obtained by diving rise by run and take the tan inverse of the result. This measurement is best done on a bare roof because curled up roofing shingles will impair your measurement.