My brain is tried this morning and I have to get out in the field, but before I go;
I want to make a small footstool for my patio. I have 5 1/2" wide material and would prefer NOT to rip the boards.
My goal is to have a curved stool so that the 5 1/2" boards follow the arc form the top to the bottom.
So, to make a series of chords of 5 1'2", without ripping except to make the joint, what is the radius of the arc?
well that is a dumb question, my brain must be a little "foggier" than normal today... never mind 🙂
> So, to make a series of chords of 5 1'2", without ripping except to make the joint, what is the radius of the arc?
It's the radius of an arc with a chord of 5.5 inches and a delta angle of 22.5 degrees, if I'm understanding your sketch correctly.
You are making my brain hurt too. After study of the OP I am guessing you have a bunch of 1x6x(5.5') boards and you want to stand them on edge around an unspecified radius with 5.5 foot chords.
You could use any radius you want. Depending on how "tight" you want your arc the chosen radius would determine the bevel angle to cut.
That's what I realized as soon as I posted that dumb question.
Just divide 90 degrees by how any boards I want to use, and there is my delta, duh....
that should have read in inches....but the concept is the same..
ditto Kent.
5.5=2Rsin[22.5÷2]
R=14.1"
Might need to stop and get you a cup of coffee before you start tweeking the citizen's property lines there foggy...;-)
I am going with 5 boards, at 5 1/2" wide
18 degree = 2 9degree miters per board
1.46' Radius!
I don't drink coffee, bro...yerbe mate with ginseng for that added boost 🙂 and I'm not tweaking Property lines today. Locating ditches in a swam, covered by a pine thicket. Just waiting for it to warm up a little bit first! LOL
Forget that triggernommutree stuff and get you an old carpenter's square. Then find an old carpenter who knows how to work that thing like a slide rule. He'll have you fixed up in no time.
Dividing an arc question> Cow
Now that's an idea I could get behind. Of course out on this sandbar it would probably have to be a retired union carpenter. Unions aren't strong our here, and most of the carpenters are old stoners. But I am going to look into that, Cow. I have thought of that since college when I was a nail banger and some one showed me a quick introduction to the mysteries of the square for figuring hoist cuts based on run and rise.
Dividing an arc question> Cow
Tommy Silva can build anything with a speed square and a worm drive.
