Generally roof pitch is calculated from the same formula that describes a right triangle.
Formula to find slope of roof.
First find the slope by finding the tangent of the degrees eg.
You can use the following equations to find the length of the rafter and the slope.
Slope measures the angle of change in elevation and it can be found by dividing the rise by run.
By slope angle formula steepness can be obtained by dividing vertical rise by horizontal span.
It is often compared to slope but is not exactly the same.
Measuring from the underside of the roof is usually the most accurate way to find the slope since there is no roofing material to make an uneven surface.
For instance a 7 12 roof pitch means that the roof rises 7 inches for every 12 horizontal inches.
Here are the equations you may use to solve for the length of the slope and the rafter.
Rise run pitch where pitch is expressed in percent.
Then multiply the slope by 12 to get the rise.
Step 1 access a rafter.
X rise 12 run this means that for ever 12 inches horizontally the roof rises x number of inches.
Image 1 12 to 12 12 roof pitch 7 12 pitch.
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.
Run refers to the change in the horizontal movement.
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.
A barge rafter at the side of the gable step 2 position a level against the underside of the rafter.
Tan 45o 1 00.
Slope tan degrees.
How to calculate roof pitch.
Rafter rise run from the pythagorean theorem.
The page provides you the slope pitch of roof formula to find the slope roof pitch and run.
Rise points the vertical height per unit of horizontal movement or run.
The overhang of a rafter at the end of the roof.
You can also calculate roof pitch even without using a roof slope calculator.
In the imperial unit of measurements the slope is expressed with the rise and run.
Rafter rise run this formula is from the pythagorean theorem.
Roof pitch degree table.
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.
Any of the following will give you a good measurement 1 x research source a rafter in the attic.
Roof slope is also called as roof pitch.
Use the following formula which also describes a right triangle.
Place one end of a carpenter s level against the underside of the.