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Heres one for you math whizzes. O/T

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old

09-07-2006 13:45:42




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I'm putting a top and a trailor that I'm rebuilding for a friend. Nice thing is my chop saw burned up/out yesterday and he went and and brought a new one for me but thas a differant story. Any how the trailor is 64.5 inches wide and I want to make an arch top on it so the center will be 36 inches at the center. So the question is how long do I need my steel to get the 64.5 inch wide and have to bow 36 inches tall. Please if you can also explain how you did it that might help me remember what I forgot. Years ago I could do that but I haven't used that in 30 plus years.
Thanks

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Matt from CT

09-07-2006 16:17:49




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 Re: Heres one for you math whizzes. O/T in reply to old, 09-07-2006 13:45:42  
LOL Old...

I think you'll have to use HAS' solution and just draw it out and take a tape measure to it :)

I used the link below as a calculator...

I used 64.5" for the X axis, 72" for Y, and set the "show values" to 6 significant digits.

Gave me a perimeter of 214.576", divide that in half would be 107.288". That's what the AutoCad guy got :)

But I'm kind of amazed at all the answers in that 107" to 109" range with none of the exactly the same!

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Jubal Lee

09-07-2006 14:13:17




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 Re: Heres one for you math whizzes. O/T in reply to old, 09-07-2006 13:45:42  
old, this is how I would do it: 64.5 x pi/2= 1/2 the circumference of a 64.5" circle. that is 101.265". add 3.75" on both sides (the difference between 36" and 1/2 of your 64.5" circle and that will get you to the 36" height. That comes to 108.765. I hope that this is correct. Like you, it has been a while since I tried to do anything like this! Good luck and congrats on your good fortune with the saw!!!!!

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HAS

09-07-2006 14:06:32




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 Re: Heres one for you math whizzes. O/T in reply to old, 09-07-2006 13:45:42  
Get a rope & lay it out on your drive way or shop floor. Make soap stone or chalk marks the with of the trailer, draw a square line across the top of it, then make a mark in the center 36" above that. Lay the rop from one side to the other, arrange it so it touches all three points and with the bow shape you want. Mark the rope length and measure it.



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Charlie in NY

09-07-2006 14:11:23




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 Re: Heres one for you math whizzes. O/T in reply to HAS, 09-07-2006 14:06:32  
Even better. The emperical method.

HAS wins. See if it's not close to 124" when you get it to where you like it. ;-)



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Charlie in NY

09-07-2006 14:05:01




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 Re: Heres one for you math whizzes. O/T in reply to old, 09-07-2006 13:45:42  
My best whizzes come after a lot of beer, but here is a sober attempt.

You make a "pup-tent" shape with a 36" ridgepole on a 64-1/2" base and it forms two right triangles. Some Greek guy proved that the square of one side will equal the square root of the other sides squared and added together. Something like that. The Scarecrow got it wrong in the Wizzard of Oz, as I remember.

Anyway, that works out to you needing a 96" length if you have a crisply bent ridge. The opposite, a boxy lid, would require two 36" drops and a 64-1/2" roof; which is 136-1/2". Now, you obviously have to end up between those two lengths depending on how rounded you make the roof. So, my quick and dirty estimate is that you will need 96" + 28"(about 2/3 between the two, favoring the long to have a nice curve). That's 124".

Lets see what the guys who remember parabolic sections and the like come up with.

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brian 1

09-07-2006 20:03:07




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 Re: Heres one for you math whizzes. O/T in reply to Charlie in NY, 09-07-2006 14:05:01  
Would that be the inside or outside measure? :-)



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Hobbyfarmer71

09-07-2006 14:15:28




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 Re: Heres one for you math whizzes. O/T in reply to Charlie in NY, 09-07-2006 14:05:01  
Since I actually make a living doing Engineering, on AutoCAD, I drew an ellipse (parabolic section) with the required dims, and the arc length is (drum roll please) 107.28777786 {If your Stanley is that close :)}



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old

09-07-2006 16:56:31




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 Re: Heres one for you math whizzes. O/T in reply to Hobbyfarmer71, 09-07-2006 14:15:28  
I'll have to give 107.25 a try and see how it comes out. I can be off a little since this trailor is about as square as a sidewinders belly LOL. Thanks to you and the others also



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HobbyFarmer71

09-07-2006 20:13:20




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 Re: Heres one for you math whizzes. O/T in reply to old, 09-07-2006 16:56:31  
Old, your welcome, but keep this in mind..... it's usually better to start out longer since it's alot easier to remove material than it is to add material..... just 2 more cents. :)



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old

09-07-2006 20:56:32




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 Re: Heres one for you math whizzes. O/T in reply to HobbyFarmer71, 09-07-2006 20:13:20  
Yep I undersatnd the cut it off twice and its still to short thing. LOL



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Tim...Ok

09-07-2006 14:24:33




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 Re: Heres one for you math whizzes. O/T in reply to Hobbyfarmer71, 09-07-2006 14:15:28  
UGS NX4 here,but I didn't do the eliptical,just true radius..almost like cheat'n huh?

Tim



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HobbyFarmer71

09-07-2006 20:08:54




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 Re: Heres one for you math whizzes. O/T in reply to Tim...Ok, 09-07-2006 14:24:33  
Your right, it is sort of like cheating, but a WHOLE lot easier than what the teach in school. :)



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Tim...Ok

09-07-2006 14:04:13




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 Re: Heres one for you math whizzes. O/T in reply to old, 09-07-2006 13:45:42  
Length is gonna be 109.05363" actually it won't be a true radius cause the max "true" radius you can have is 32.25" and this works out to be 32.445313..but close enough for a trailer top..come up with something difficult next time :o)

HTH,
Tim



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