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Help with some wood working math! FIND THE RADIUS!

Homerboy

Homerboy

Lifer
I have a piece of wood: 37.25" X 2.5"

I want an arch cut into the wood where at the center, the board will be 1.5" and the arch will go to the exact corners of the bottom of the piece (so the ends remain 2.5" tapering to 1.5" in the middle.

What is the radius I need to scribe my arch?
 
shortylickens said:
Ummm, not understanding the question. I think you need a 1.25 inch radius.
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No

Clipboard01.jpg
 
DaTT said:
Show your work...
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Heh I would but pics.bbzzdd.com uploading is borked (at least for me).

igzprd.jpg


There we go (tinypic). And awww I see I made a mistake in the picture. It should write 37.25. My answer is still the same though
 
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fishing line is also stretchy /saggy;

if you have a printer, i would just print out a template to trace a line against. if you're smart about it, you could probably fit the whole thing on one page.
 
Just use string, and don't pull so hard. It's not elastic or anything, even that length won't deform appreciably if you don't pull the crap out of it.
 
15lessthan1.png


Last time I checked, 1.5>1. Drawing does not look right. :hmm: j/k.
It's not in scale, drawing is for illustration purposes.
 
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This certainly won't be a perfect arc, but a piece of flexible wood made into an arc by a piece of string attached to the ends, like a bow of bow and arrow fame, makes a serviceable template for a large radius. You can even incorporate a turnbuckle to adjust the length of the string.
 
If you want a perfect arc, use your 3 nails at the points. Now get 2 thin strips of wood over 37" long. Lay them in a V resting on the nails. The point of the V should be at the middle nail. glue/nail/screw the two pieces of wood together. remove center nail. put a pencil at the tip of the V and slide it along the 2 side nails.

Quick and easy, no need for any math
 
Mr. Pedantic said:
Just use string, and don't pull so hard. It's not elastic or anything, even that length won't deform appreciably if you don't pull the crap out of it.
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Yep. And if it really is a concern, just rip an 8' 2"x4" in half, nail them together to make a stick long enough to measure out the 14.5' length needed to make the arc.
 
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