Help with a project need help with math

[Adam35]

So I have a tank to do witch is 110 feet in Diameter and I have panels that are 32 inches wide by 20 feet long I have to cut the panel from the top to the bottom On a Angle how do I find out how to cut them to make a larger pie also Im cutting it so there is no wastage. And it will be done in three courses starting from the bottom working his way to the top anybody has any idea or the best way to cut these will be greatly appreciate it I am not sure out to find angles to cut panels.How do I find the Measurements to cut it what is the formula to figure out this any help would be greatly appreciated

 

[Cubist]

What is the required height of the tank?

I can't visualise the end result that you're after, do you have a photo of a similar tank that you could post? You know that 110 feet diameter is very big and will require many panels? I can't see the reason for cutting diagonals into every panel.

Wouldn't it be easier to leave the panels uncut (at the sides) and fix them to each other on a slant, like this:-


(you'd have to cut the top and bottom of some panels to give a flat top/ bottom to the cylinder)

 

[Adam35]

It’s for the roof of the tank

 

[Cubist]

The roof sounds very wide so will it require a dome profile, raised in the middle? Or is the sheet material strong enough to plan for a flat roof?

 

[Adam35]

The roof is flat I just looking to figure out how to cut the panels on a certain hanger to make a larger pipe piece by flipping the panel after the fit around the outside of the conference or is there a better way to cut these panels to fit around the circumference I just don’t know how to do it mathematically

 

[Adam35]

The roof is flat I just looking to figure out how to cut the panels on a certain hanger to make a larger pipe piece by flipping the panel after the fit around the outside of the conference or is there a better way to cut these panels to fit around the circumference I just don’t know how to do it mathematicallyView attachment 20671

 

[Cubist]

You'll need to carefully check everything here because I guess it could be expensive if the calculation is wrong. I DO NOT guarantee that any of this is correct!



The following calculations use radians, NOT degrees. So set your calculator to radians.

For ONE ring let n be the number of panels used (and the final shape will be an n-sided polygon).

1) angle a = (n-2) * pi/n
2) angle b = a/2
3) c = ( w - h/tan(b) )/2, don't let this be negative. If calculating the inner ring where c=0, then cut the height of the board down to h = w*tan(b)
4) d = w - c

then...

INNER EDGE OF PANEL
Inscribed circle diameter = 2*c / tan(pi/n)
Circumscribed circle diameter = 2*c / sin(pi/n)

OUTER EDGE OF PANEL
Inscribed circle diameter = 2*d / tan(pi/n)
Circumscribed circle diameter = 2*d / sin(pi/n)

Much of this was taken from this wikipedia page on regular polygons.

--

For your panels w=32, and h=20*12

OUTERMOST RING
n=106 gives OUTER Inscribed circle diameter of 1319.391 inches, c=12.442, d=19.558. So this doesn't quite make it to the 110ft (which is 1320 inches).
INNER circumscribed diameter 839.760

MIDDLE RING
n=59 gives OUTER Inscribed circle diameter of 840.401 inches, c=9.604, d=22.396
INNER circumscribed diameter 360.913

INNER RING
n=18 gives OUTER Inscribed circle diameter of 362.962, c=0, d=32, h=181.481

The math assumes there will be no material waste while cutting. And I think it would be quite a problem to work out what happens at the boundaries between the rings (it will NOT be as neat as the diagram in your post#3 since the "n" numbers aren't nice multiples of each other).

 

[Adam35]

Thank you for your help