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HornyPotter
04-18-2009, 09:14 AM
Hey all

I was wondering if anyone of you knew how to calculate the angle of a cross brace...

Say you have a 2x4 and you want to put is at an angle between 2 joits that are at x" ... u'd have to calculate the angle.

I am sure in the old days the carpenters must have had a tool to do so... or a formula.

I made myself a jig that I use to trace the angle but cannot figure out how to calculate it!

thanks in advance!

Richard

Vince the Plumber
04-18-2009, 10:54 AM
?? X 1.414=

we use this in plumbing.

Vince

rofl
04-18-2009, 11:16 AM
?? X 1.414=

we use this in plumbing.

Vince

That is from the angle formula for a 45. Square root of 2.

I'm not sure but it sounds like he wants a more generic formula that would work with different angles. I don't think you'll have one formula that will do the job, but if you know some trig or geometry you can figure it yourself. Of course, in that case he probably wouldn't be asking us:D

HornyPotter
04-18-2009, 12:40 PM
unfortunately, a square + b square = c square is NOT it!

imagine 2 joist. draw a line from the top of one joist to the bottom of the other joist. the formula above ir right... but this is for a LINE!

not take your 2x4 and try to fit it inside the joists... your formula is no longer valid.

what i am trying to do refers to euclidian geometry.

your 2x4 is actually 3.5 inches high and this does not jive between the joist using pythagore's formula.

look at the picture i've attached...

the angle of the line "A" is about 32.5 degrees. The angle of drawing #B is about 28 degrees.... even if the distance between the 2 joists are identical.

anybody has an idea about how to calculate this?

Vince the Plumber
04-18-2009, 02:11 PM
just measure it.:p:D

Vince

HornyPotter
04-18-2009, 02:38 PM
[quote=HornyPotter;224399]unfortunately, a square + b square = c square is NOT it!

cause your'e doin it wrong


well then do it... calculate it! 2 joists 24" apart... try and fit INSIDE a 2x3 or a 2x4 or a 1x1 from the top of one to the bottom of the other using pythagore's theorem. good luck! you'll never make it.

HornyPotter
04-18-2009, 02:39 PM
just measure it.:p:D

Vince

and you call yourself an expert woodworker?

rofl
04-18-2009, 03:14 PM
his name is "vince the plumber"

I missed "expert" and "woodworker".

BTW.......the formula is still valid. You just have to account for the thickness of the wood and not just base it on a line of zero thickness. The angles are the same. It will just require a slightly shorter piece. How much shorter depends on the angle you are working with. Using your geometry skills a second time could yield the second dimension.

Based on the angle you determined and the thickness of the wood you could easily come up with how much shorter the piece will have to be than a line of a certain length but no thickness.

rofl
04-18-2009, 03:23 PM
Is this something you need to do a few times or a process you need to be able to repeat over and over?

I think what you need to do is a combination of calculation and trial and error.

Pipestone Kid
04-18-2009, 04:28 PM
Carpenters use a framing square. Assuming your joist is 9& 1/4 inches high and14& 1/2 inches between joist (16" on center) lay the square on the 2"x 4' and hold the square at 9 1/4 and 14 1/2 and mark on the 9 1/4 mark (or side) Works whatever dimensions you have.

BHD
04-18-2009, 05:16 PM
on A Good framing square there are rafter tables, which would work in your instance, and there is also a brace table on the better ones, that will tell you the length of knee type braces,

on figuring a rafter on can just use the square and stair step it to lay it out or do the math off the chart and calculate the length, and then one uses the rise by 12" of run to get the angles,

check out the pages beyond the URL there is a few pages on rafters and then one on the brace scale and some others that you may find useful,
http://www.tpub.com/content/construction/14044/css/14044_56.htm
this s another on rafters
http://zo-d.com/stuff/how-do-i/using-the-rafter-table-on-a-framing-square.html
there is some links at the bottom of the second URL that you may find of some help as well,

HornyPotter
04-18-2009, 09:26 PM
his name is "vince the plumber"

I missed "expert" and "woodworker".

BTW.......the formula is still valid. You just have to account for the thickness of the wood and not just base it on a line of zero thickness. The angles are the same. It will just require a slightly shorter piece. How much shorter depends on the angle you are working with. Using your geometry skills a second time could yield the second dimension.

Based on the angle you determined and the thickness of the wood you could easily come up with how much shorter the piece will have to be than a line of a certain length but no thickness.



wrong! look at the drawing i've enclosed in a prebious post... the angles are different! ;)

HornyPotter
04-18-2009, 09:32 PM
on A Good framing square there are rafter tables, which would work in your instance, and there is also a brace table on the better ones, that will tell you the length of knee type braces,

on figuring a rafter on can just use the square and stair step it to lay it out or do the math off the chart and calculate the length, and then one uses the rise by 12" of run to get the angles,

check out the pages beyond the URL there is a few pages on rafters and then one on the brace scale and some others that you may find useful,
http://www.tpub.com/content/construction/14044/css/14044_56.htm
this s another on rafters
http://zo-d.com/stuff/how-do-i/using-the-rafter-table-on-a-framing-square.html
there is some links at the bottom of the second URL that you may find of some help as well,




hey! i'll look at these links! it looks promissing!

many thanks! i'll get back to you after analyzing them!

cheers!