Math Formula For Roof Pitch

Divide the slope by two to get the pitch.

Math formula for roof pitch.

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. You can also calculate roof pitch even without using a roof slope calculator. The roof pitch formula is used to estimate the area coverage of the house. Calculate the length of a rafter from the roof slope ratio of inches per foot and a building width measurement.

By slope angle formula steepness can be obtained by dividing vertical rise by horizontal span. For example a roof with a 6 12 pitch rises 6 inches for every horizontal foot. Slope factor fnd the length of the valley rafter given the following measurements. Calculate the roof pitch as the proportion of rise and run.

In civil engineering the slope is the numerical measure of the steepness of a roof. Use the following formula which also describes a right triangle. Let s say it is equal to 1 5 m. Rise and run formula.

For a simple gable roof the span wall to wall will be twice the size of the run wall to ridge horizontally. It is computed by using the simple roof slope formula. In the imperial unit of measurements the slope is expressed with the rise and run. Roof pitch is expressed in ratios of 12 because it is measured by the foot.

48 10 4 8. Measure the rise of your roof. Rafter rise run 1 5 6 2 25 36 38 25rafter 38 25 6 18 m. Now divide the rise by the multiplier to get the pitch eg.

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. The calculator above can handle much of this math. Here are the equations you may use to solve for the length of the slope and the rafter. Calculate the rafter length substituting these values into the following formula.

The pitch is the number of inches the roof rises compared to every 12 inches of horizontal run. Pitch is a simple ratio of the rise to the run of the roof. The slope is the same as the pitch. Includes result for hip valley factor slope factor and the roof slope in degrees.

If you add an eaves overhang dimension then the amount the rafter sticks passed the wall will be added to the rafter length. Other formulas needed to work with roofs are as follows. The pitch value can be obtained by dividing n by 12 and divide s by the answer. Roof angle can be obtained by diving rise by run and take the tan inverse of the result.

The pitch of this roof is 4 8 12. Pitch rise run 1 5 6 25. 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.