?? Cutting studs for sloped ceiling

[Randy C]

Does anyone know of an easier way to cut the stud length for a wall that is sloping down at the top plate other than fitting them in individually one at a time?

I saw where you can lay down the longest stud and sandwich the studs needing cutting between this stud and the shortest stud and draw a line diagonally across these studs. The problem with this is the studs will be equally spaced but not necessarily 16" on center.

Is there an easier way than fitting individually?

Thanks

[Stwood_]

We've always measured/installed each individual stud

[srv52761]

Does anyone know of an easier way to cut the stud length for a wall that is sloping down at the top plate other than fitting them in individually one at a time?

I saw where you can lay down the longest stud and sandwich the studs needing cutting between this stud and the shortest stud and draw a line diagonally across these studs. The problem with this is the studs will be equally spaced but not necessarily 16" on center.

Is there an easier way than fitting individually?

Thanks

That is the key.  
Find the run and the rise from your ceiling.write as a fraction
Write another fraction with the spacing of your studs as your run
Cross multiply.  That is the additional height of each succeeding stud at the first edge.

Write another fraction with 1.5 as the run
Cross multiply.  That is the additional height of the trailing edge of each stud from the first edge.

5 minutes of math, and you can precut all your studs.

[Randy C]

That is the key.  
Find the run and the rise from your ceiling.write as a fraction
Write another fraction with the spacing of your studs as your run
Cross multiply.  That is the additional height of each succeeding stud at the first edge.

Write another fraction with 1.5 as the run
Cross multiply.  That is the additional height of the trailing edge of each stud from the first edge.

5 minutes of math, and you can precut all your studs.

So rise is 40" and run 65" and I want 16" between studs.

65/40 *  1/16 = 65/640= .464".

Write another fraction with 1.5 as the run, ????

1.5/40= .037"????

[srv52761]

So rise is 40" and run 65" and I want 16" between studs.

40/65  = rise/16
40x16 = 65 x rise, divide both sides by 65
(40x16)/65 = rise
rise = 9.85
The short side of each stud's length will be 9.85 (about 9 7/8) inches longer than the previous stud's short side.

40/65 = rise/1.5
40x 1.5 = 65 X rise
60 =65 x rise, divide both sides by 65
60/65 = rise
rise = .923" about 15/16 plus a hair

when you angle cut the top of the stud, the longer length will be about 15/16" longer than the shorter side.
Edit (set your saw to 31.6 degrees)


EDIT!!!
Aaaaaugh!  you said 16" between studs.  I calculated 16" on centers.
For 16" between studs that means you will be 17.5" on centers

40/65 = rise / 17.5
40 x 17.5 = rise x 65
700 = rise x 65   divide both sides by 65
700 / 65 = rise
10.76" = rise

The short side of each stud's length will be 10.76 (10 3/4) inches longer than the short side of the previous stud.

[Randy C]

40/65  = rise/16
40x16 = 65 x rise, divide both sides by 65
(40x16)/65 = rise
rise = 9.85
The short side of each stud's length will be 9.85 (about 9 7/8) inches longer than the previous stud's short side.

40/65 = rise/1.5
40x 1.5 = 65 X rise
60 =65 x rise, divide both sides by 65
60/65 = rise
rise = .923" about 15/16 plus a hair

when you angle cut the top of the stud, the longer length will be about 15/16" longer than the shorter side.
Edit (set your saw to 31.6 degrees)


EDIT!!!
Aaaaaugh!  you said 16" between studs.  I calculated 16" on centers.
For 16" between studs that means you will be 17.5" on centers

40/65 = rise / 17.5
40 x 17.5 = rise x 65
700 = rise x 65   divide both sides by 65
700 / 65 = rise
10.76" = rise

The short side of each stud's length will be 10.76 (10 3/4) inches longer than the short side of the previous stud.

My bad. I did mean 16" on centers.,thanks for the help.

[srv52761]

Is there an easier way than fitting individually?

Thanks

Ignore my last post, it works but even I don't do that anymore.

Try this website
https://www.blocklayer.com/wall-framingeng.aspx

stud calculator from Blocklayer

[Randy C]

Just saw your new post. I will look at that

Thanks

[Cooler]

I would never measure anything in this case.

I would put a 2x4 down to mimic the sill plate and bring each stud up and mark it on the stud. No rulers involved.  Little chance for error.

[Blocklayer Calcs]

This calculator should make it easier: https://www.blocklayer.com/studsangleeng.aspx