Roof Math Formula

Formula this page offers you the rise and run formula to find the pitch slope angle of the roof of a building.

Roof math formula.

The maths behind this number is that it is the square root of rise run 2 1. Carpenters prefer to use pitch in calculations instead of rise and run. Length of rafter suppose a roof has a rise of 18 inches and a run of 15 feet. Roof slope is also called as roof pitch.

Below there is a simple triangle and the math used to work out. Here are the equations you may use to solve for the length of the slope and the rafter. A roof pitch multiplier also known as a roof pitch factor is a number that when multiplied by the area covered by a sloped roof gives the actual area of the roof. Use the following formula which also describes a right triangle.

In civil engineering the slope is the numerical measure of the steepness of a roof. By slope angle formula steepness can be obtained by dividing vertical rise by horizontal span. You can also calculate roof pitch even without using a roof slope calculator. Rafter rise run this formula is from the pythagorean theorem.

The key is to be as accurate as possible since falling short or an overage could mean thousands of dollars when planning your roofing budget. In the imperial unit of measurements the slope is expressed with the rise and run. In particular roofers have to use geometry to determine the length and the angle to which to cut the rafters. If a plan calls for a 6 12 pitch roof then the architect wants the slope of the roof to go up six inches for every 12 inches of horizontal run.

They have to do this with a formula that takes into account the rise of the roof the vertical height and the run the horizontal length. Slope measures the angle of change in elevation which can be obtained by dividing rise by run and multiply the result with 100.