How to make a miter cut
Here is some simple math if you have the right tool. Trying to miter two angles is not always the easiest task. Let me preface this with I would recommend a Jobber Calculator if you convert from feet-inches to pitches, degrees or other regularly. They are not paid advertising, just the tool I use regularly. If your a math person, you know how instrumental a Casio TI-84 was in school. There is probably a Texas Instruments app for this as well that I haven’t looked into. The other tool I use all day everyday is a piece of software shown below is Mitek engineering.
For this example I want to miter the 0 degree top chord to the 5/12 pitch top chord.
If you have a jobber builders construction calculator, enter the pitch as inches.
Then I convert to degrees with the DEG button. 22.6+ degrees.
Then we divide in half / 2 = 11.3 degrees is our miter cut as a degree
Then we can convert to tangent with the TAN key which is a .2 tangent
Then we can convert from tangent to feet – inches with the FIS button. 2 3/8 is out miter pitch.
There, now our joint has a more solid connection with a plate covering more area.
The metal plates have teeth which sink into the wood and is crimped. More teeth = more bite.
Just another day in the life of the bumbling architect, I work with a firm in the building.