You ll need to draw out the roof framing geometry.
Roof framing geometry.
One half of 45 is 22 5.
Roof framing geometry trigonometry for polygons polygons in mathematical context polygons in carpenters mathematical context central angle pi 2 n working angle pi 2 n 2 plan angle pi central angle 2 exterior angle plan angle 2 s is the length of any side of the polygon n is the number of sides.
Roof framing geometry is empirical type knowledge.
With overhang selected drag slider to increment decrement birdsmouth seat width to suit.
Move slider or directly enter angle to alter sweep angle of lower rafters and change the shape.
However it has over 1 000 geometric roof framing drawings in the book as well for carpenters that are not comfortable using trigonometry.
Check overhang to calculate rafter overhang equal to the lower level cut at the full rafter depth.
The tangent of 22 5 41421 laying out an octagon using a framing square we would take 12 on the blade and the number to be taken on the tongue is 12 41421 which is 4 97 or nearly 5.
For example a 5 12 pitch roof will rise vertically 5 for every 12 it goes back horizontally.
Gambrel roof framing geometry calculator metric this gambrel roof confines to a semicircle and starts as the top half of an equal sided octagon.
It will take more than just reading to understand roof framing geometry.
Information gained by means of observation experience or experiment.
The central angle for an octagon roof is 45.
There are smartphone apps available which can be used to sight a roof s pitch from the ground.