Just wanted to know if anyone has a magical way of figuring the right radius for arches. I have fifteen arches to frame all are different widths from column to column. At the two ends of where the meet the columns I need them to come down 10 1/2 inches and in the middle 3 1/2 inches. I have done a few with varying the radius but I would like a mathimatical soultion rather that trial and error on various radii.
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Do you have a Construction Master calculator?
Here's one way with any calculator.
(1/2 Chord x² / H) + H (/ 2) = Radius
Edited 7/17/2008 9:10 pm ET by Framer
((1/2C)² + h²)/2h
Sorry, I see Joe already posted it
Edited 7/17/2008 10:21 pm ET by DougU
It depends on if you want a true semi-circle, as implied by the 'radius' term, or if you're looking for an eliptical arch, which may look better, depending on the style you're looking for.
I think there have been several threads dealing with elipses and arches.
Circle Calculators ... that's probably more than you ever wanted to know about circles. :)
If your arch is an ellipse (probably not, since you are looking for a radius):
Elliptical Arch ... known: Major or Minor Axis
Elliptical Arch ... known: Two Arch Dimensions
Elliptical Arch ... known: Two Points on the Ellipse
If the curve is some other conic section (or any other known curve), holler ...
Edited 7/18/2008 11:58 am ET by JoeBartok
Edited 7/18/2008 11:59 am ET by JoeBartok
Thanks, will give it a shot.
What are some of the widths if you don't mind me asking?
Do you have a Construction Master Calculator?
Joe Carola
I did one with a witdh of 128 3/4" and the radius was 25' 9" which almost work perfect. I think the middle was off by a 1/4" which was easy to fudged. Will post a few pics when I get back to work on Monday.
Edited 7/19/2008 12:29 pm ET by silvertip
I did one with a witdh of 128 3/4" and the radius was 25' 9" which almost work perfect.
Those measurements would give you a 6-3/4" rise.
128-3/4" [Run]
25' 9" [Conv] [Diag]
[Rise] = 6-3/4" or 6.780114"
Watch how a few changed numbers in the decimals gives you a different radius by taking the 6.780114" and using that compared to the 6-3/4" number.
6.780114" [Rise]
128-3/4" [Run]
[Conv] [Diag] = 25' 9" = Radius
Now using 6-3/4"
6 -3/4" [Rise]
128-3/4" [Run]
[Conv] [Diag] = 310-3/8" or 25' 10-3/8" = Radius
If you have to use 7" as your rise for all the openings like I thought you did in your first post.
128-3/4" [Run]
7" [Rise]
[Conv] [Diag] = 299-1/2" or 24'11-1/2" = Radius
Joe Carola
Joe,I have to lay out and elliptical stair well Monday. This webpages of yours will help.Thanks,Keith
Please post pictures of the process or just some here and there. I'd love to watch the progress
I use a construction calculator for everything i possibly can but I was not aware I could use it to find the radius of a circle. I am slightly confused by the calculations submitted. (I am easily confused) I will read the manual further to understand the calculations. I always find the radius with two tape measures. Pull one tape from the high point and one tape from the low point (properly spaced ). Intersect the tapes, when the number is the same you have your radius.
Sounds like he's coming down from the ceiling on the ends 1-1/2' and in the center 3-1/2" from the ceiling. That would give him 7" from the bottom of the 10/12" up to the center.
I'm using the Construction Master Pro DT (Desktop) for this.
Ket's say he has 6' for the width(chord) and 7" for the height.
6' [Run]
7" [Rise]
[Conv] [Diag] = 96 1/6" = Radius
Or:
(1/2 Chord x² / H) + H (/ 2) = Radius
36x² = 1296÷ 7= 185.1429 + 7 = 192.1429 ÷ 2 = 96.07143" or 96 1/16"
Joe Carola
Edited 7/19/2008 10:20 am ET by Framer
Thanks. I honestly have to find the proper radius for something atleast 3 out of 5 days a week. This will make it go a lot faster
I don't know if you have SketchUp, but it's one quick way of finding radius's :-)http://woodsshop.com/