Math Formula For Roof Pitch

For example a roof with a 6 12 pitch rises 6 inches for every horizontal foot.

Math formula for roof pitch.

Here are the equations you may use to solve for the length of the slope and the rafter. The pitch is the number of inches the roof rises compared to every 12 inches of horizontal run. Measure the rise of your roof. Other formulas needed to work with roofs are as follows.

48 10 4 8. Pitch rise run 1 5 6 25. In the imperial unit of measurements the slope is expressed with the rise and run. It is computed by using the simple roof slope formula.

You can also calculate roof pitch even without using a roof slope calculator. Slope factor fnd the length of the valley rafter given the following measurements. The pitch value can be obtained by dividing n by 12 and divide s by the answer. For a simple gable roof the span wall to wall will be twice the size of the run wall to ridge horizontally.

The roof pitch formula is used to estimate the area coverage of the house. Rafter rise run 1 5 6 2 25 36 38 25rafter 38 25 6 18 m. Roof pitch is expressed in ratios of 12 because it is measured by the foot. The calculator above can handle much of this math.

The pitch of this roof is 4 8 12. Let s say it is equal to 1 5 m. By slope angle formula steepness can be obtained by dividing vertical rise by horizontal span. Therefore if a roof rises four inches for every 12 inches of horizontal distance it has a 4 in 12 pitch.

Calculate the rafter length substituting these values into the following formula. Roof angle can be obtained by diving rise by run and take the tan inverse of the result. Pitch is a simple ratio of the rise to the run of the roof. 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.

Calculate the roof pitch as the proportion of rise and run. Obtain the pitch or slope angle of a roof by calculating the ratio of the change in the roof s height to the corresponding horizontal distance. If you add an eaves overhang dimension then the amount the rafter sticks passed the wall will be added to the rafter length. Now divide the rise by the multiplier to get the pitch eg.

In civil engineering the slope is the numerical measure of the steepness of a roof. Includes result for hip valley factor slope factor and the roof slope in degrees. Divide the slope by two to get the pitch. For a roof with the ridge above one wall the span is the same as the run.

Roof slope is also called as roof pitch. Rise and run formula. The slope is the same as the pitch. Rafter rise run this formula is from the pythagorean theorem.