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A little OT, Geometric Braniac needed for angular

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Puttz

02-15-2005 12:50:27




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I am in the process of doing some metal fabrication work and need to make a gusset out of 2 1/2" heavy angle iron.

The gusset fills a 90 degree joint. Yet if cutting the angles at 45 degrees, once the piece is laid in place it doesn't fit up because the sides of the gusset are now laying at 45 degrees to the metal rather than at a right angle.

Does anyone have an idea what the angle is that the piece has to be cut at to fit up properly.

I hope I have explained this so that it can be understood.

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Dale in WV

02-16-2005 15:19:31




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 Re: A little OT, Geometric Braniac needed for angu in reply to Puttz, 02-15-2005 12:50:27  
How about a pix of your finished product?? Me feeble brain still confibulated...



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Rod (NH)

02-16-2005 12:02:13




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 Re: A little OT, Geometric Braniac needed for angu in reply to Puttz, 02-15-2005 12:50:27  
Hi Puttz,

The precise answer to your question as first shown is 38.7 degrees - 38 deg say. That's the angle that you show as a question mark in your drawing. The 52 deg that you mention (actually 51.3 deg) is the complement of the 38 deg (90-52=38).

third party image Rod



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kevin (oh)

02-21-2005 10:56:27




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 Re: A little OT, Geometric Braniac needed for angu in reply to Rod (NH), 02-16-2005 12:02:13  
Rod is right. I got to thinking about my post while on the airplane Thursday morning. I got out some graph paper and laid out the problem. The angle that the poster questioned is solved by Tan(x)=2.5/2 or 51.34 degrees. Its compliment is indeed 38.66 degrees. 2.5 is the width of one of the angle iron sides and 2 is 1/2 of the 4 inch length the poster desired. It is necessary to bisect the length in order to construct a right triangle and use Pythagorean theorum.

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Kevin (Oh)

02-16-2005 10:46:13




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 Trig, not geometry in reply to Puttz, 02-15-2005 12:50:27  
52 degrees is real close and would probably work, given all errors in measuring, cutting, etc. Try 54.7 degrees.
Here is the logic I used:
A 2-1/2 " angle iron has 2.5" legs (when measured from the OUTSIDE) and an included 90 degree angle.
The distance, from the outside edges of the angel iron legs is 3.5355339" , (verify the distance of the hypotinuse by taking the square root of 2.5 squared plus 2.5 squared).
Knowing this, we can construct an equalateral triangle (look at his photograph and visualize looking a it from the back of the picture he has the template propped against). The left and right leg are each 2.5" long and the hypotinuse is 3.5.55339. The included angle is now NOT 90 degrees, but is apparently something else, since the iron is leaning into the plane. The solution is: Tan(x)= 3.53539/2.5 or about 54.7 degrees.
Let's see if some other more educated guys than me concur. Statistics, not trig, is my strong suit. Could be wrong.

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Vern-MI

02-19-2005 06:10:53




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 Re: Trig, not geometry in reply to Kevin (Oh), 02-16-2005 10:46:13  
Kevin has the right answer. The angle that Puttz has identified in his sketch should be the compliment of 54.7 degrees or in other words 35-1/4 degree. That works when the angle is laid on its side and up against the fence of the cutting saw. That will work for any length of angle by the way. the difference is that if the angle is short enough there will not be an openning under it.



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flathead

02-16-2005 06:35:09




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 Re: A little OT, Geometric Braniac needed for angu in reply to Puttz, 02-15-2005 12:50:27  
If you"re using a chop saw, just lay both legs of the angle iron against the stationary fence and the point of the angle iron against the clamp face. Then set the for 45-degrees and make your cuts. That will give you the 45 degree included gusset angle with the 38-degree legs.

Flathead



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T_Bone

02-16-2005 05:33:41




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 Re: A little OT, Geometric Braniac needed for angu in reply to Puttz, 02-15-2005 12:50:27  
Hi Putz,

First we need to define your project as you have shown and stated two different problems to solve.

#1 Your picture shows a angle greater than 90� that needs a gusset made from 2-1/2" angle. Your gusset layout as shown is wrong.

#2 Your words say you need a 90� angle with a gusset made from 2-1/2" angle iron.

Once your problem is defined, either #1 or #2 then it's easy to solve.

T_Bone

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Can't even use my name

02-15-2005 17:01:30




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 Re: A little OT, Geometric Braniac needed for angu in reply to Puttz, 02-15-2005 12:50:27  
Boy am I confused as to how you are using the angle iron as a gusset. If your joint is a true 90 degrees and assuming nothing is hitting in the tip of the gusset than the only angle you need to know is the 90 degree one. If both sides of the gusset are the same length than the angles are going to be 45 degrees. Now if the sides of the gusset are different than the longer side will have a angle less than 45 and the other will have an angle exactly the same number of degrees over 45 as the first is under. If you have a calculator you can figure all this using the sin and cosin functions and some given lengths or angles. Don't remember it all exactly though.

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Yeah..John,PA

02-15-2005 20:21:21




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 Re: A little OT, Geometric Braniac needed for angu in reply to Can't even use my name, 02-15-2005 17:01:30  
Somewhere's there is a problem.

I think he used the best way to find what he needs, though. Paper templates.

I run into these math (geometric) problems from time to time, too. So, I just make up atemplate and assume that I just made a mathematical error somewhere's.

Hope this helps. John, PA



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Dale in WV

02-15-2005 15:24:50




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 Re: A little OT, Geometric Braniac needed for angu in reply to Puttz, 02-15-2005 12:50:27  
Must be something about the angle iron confusing my understanding. You got a 90 degree corner right? As I recall, the sum of the angles inside a triangle of ANY dimensions total 180 degrees. If you have one angle set at 90 degrees and the other two angles cut exactly the same, both must be 45 degrees. I"m thinking you want a flush fit against the sides of your corners, and not a sharp edge?? Will flipping your stock over for the second cut, rather than rotating the vise it in your chop saw give you the type of finished edge you need??

((now if you were building it outa wood, you know you wouldn"t have this trubble!!))

Good luck Mr. Puttz -- I think yer on the right track.

dll

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Butcher

02-15-2005 13:59:48




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 Re: A little OT, Geometric Braniac needed for angu in reply to Puttz, 02-15-2005 12:50:27  
38 deg. unless you can make your gusset 5" long. then 45 deg. would work.



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Puttz

02-15-2005 16:06:54




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 Re: A little OT, Geometric Braniac needed for angu in reply to Butcher, 02-15-2005 13:59:48  
Wow I just cut paper templates till I got it.

It was not 38 degrees but 7 degrees the other way from 45 which was 52 or somewhere thereabouts.

After I cut a paper one there was nowhere I could make it show 38.

I think I got it now. Thanks.



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Puttz

02-15-2005 17:12:56




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 Re: A little OT, Geometric Braniac needed for angu in reply to Puttz, 02-15-2005 16:06:54  
third party image

here's the paper template gusseting a 90 degree joint. It could be off a smidgen or two but it's real close.



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Dale in WV

02-15-2005 18:50:24




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 Re: A little OT, Geometric Braniac needed for angu in reply to Puttz, 02-15-2005 17:12:56  
That picture clears up your question better than all the words you could have said. Obviously I don't know a gusset from a widget...
Still going thru the mechanics of how to cut such a piece however. Chop Saw? I'd probably go thru a couple pieces til I got it right, but I think if I somehow supported the angle iron so its not flat in the vise, then cut it at 45 degrees, it'd work.
I think you'll find the length of your finished piece closer to 3.5", not 4" too.
dll

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