Cutting Wood in Half at an angle.

Question

I have to cut a sheet of wood in half. It is 32 inches wide and I need to make a cut of 22 1/2 degrees across its width.

If I make a point on one edge (point A), how far further down on the opposite edge, would point B. be?

I also have to cut, a piece of 2 x 4 (1 1/2" x 3 1/2"). also at an angle of 22 1/2 degrees. I want to cut it on a table saw using a rip fence. If I wish to cut it in half through the 3 1/2" wide part. How far from the saw do I need to put the rip fence, So it cuts exactly in half?

Answer 1

   No offense, but i won't do that math, especially for the 3 ft piece, but a compass and/or an adjustable angle tool will give you the degrees, along with a straight edge spanning the width. The cut, even on a table saw, PULL THE FENCE, will be free hand no matter.

   The 2 x is easy, use your SLIDE glide, NOT The fence, or a chop saw or skil saw at the proper angle.

   Ah wait,,, You need to RIP the 2 x to that angle??? You should probably consider finding the angle, free hand cut a TOOL out of 1 x stock, clamp it flush to the fence and saw table, and still be prepared to consider it a free hand cut.

  An angle suggests NOT exactly cut in half, by the way, no offense.

Just my two "sense"

Answer 2

Look, half of a 45 degree angle is 22-1/2 degrees. Just measure up half the distance of what would be a right angle or 45 degrees and cut. A right angle means you measure 4' one way(its' already 4' wide) and 4' the other and connect the lines. Half of that,or 22-1/2 degrees means you measure 24" instead and draw line. You don't need anything more than this. there's such a thing as thinking too much-where most of the carpentry mistakes are made.

Answer 3

Assume that you rip a square piece from the panel that is N" width

And when you cut that with an angle of 22.5 degrees it cuts it exact from top to the bottom corner so you get 2 triangle shaped pieces.  

Now the N" width depends on the thickness (Th) of the wood

Now for your panel to rip in 2 pieces with 22.5 degrees cut

You have to measure from point A =>  

the halve of the panel width + halve of N

Let us take my panel is 10 feet long and 20" width

and the thickness is  3/4"  =  0.75"

Then  N becomes  0.31066 "  and halve of N = 0.15533"

From point A you have to measure (20/2) 10" + 0.15533" =

10.15533"  to get the point where you have to make the cut on the table saw where the blade is set on 22.5 degrees.



when you have MSExcell than you can do the following

[A1  means the cell A1]

in A1 type 22.5

in B1  type   =RADIANS(A1)    

[after pressing enter you get  in B1  something like 0,39269      the number of digits depends on the setting inExcell]

in C1 type =TAN(B1)

[after pressing enter you get  in C1  something like 0,414213562

in D1 type 0.75    [thickness of  my panel]

in E1 type    =C1*D1  

[after pressing enter you get  in E1  something like  0,31066

in F1  type 2

in G1 type   =E1/F1

[after pressing enter you get  in G1  something like 0.15533

in H1 type  20  the width of my panel

in I1  type    =H1/2+G1

[after pressing enter you get  in H1  something like  10.15533

in the website

http://www.seoconsultants.com/charts/inc...

you can look up that 0.15625   =  approx.  5/32"

I hope that you can use this example for all your calculations, but it will not be easy to get it done exactly, even when you have measured everything correctly