Simple Cone Layouts
Moderator: Mike Everman
Simple Cone Layouts
This is a simple method to layout cone sections. It is not new and can be found in various sites on the internet.
It is not a highly precise or accurate method, but should provide a general method for producing cone sections with limited resources.
One requirement is to start with a large piece of paper.
Draw your cone on the lower left corner with the base parallel and near the bottom of the sheet. As shown below:
It is not a highly precise or accurate method, but should provide a general method for producing cone sections with limited resources.
One requirement is to start with a large piece of paper.
Draw your cone on the lower left corner with the base parallel and near the bottom of the sheet. As shown below:
 Attachments

 paper.JPG (11.15 KiB) Viewed 5851 times
Re: Simple Cone Layouts
Next use a compass to draw a circle the same diameter as the base.
http://en.wikipedia.org/wiki/Compass_(drafting)
Math can be used to calculate the circumference.
If the math is not a option then a reasonable small easily shaped wire can be layed upon the circle and trimmed as precisely possible to fit the circle(circle#1).
The goal here is to create a wire the length of the circumference of the circle.
http://en.wikipedia.org/wiki/Compass_(drafting)
Math can be used to calculate the circumference.
If the math is not a option then a reasonable small easily shaped wire can be layed upon the circle and trimmed as precisely possible to fit the circle(circle#1).
The goal here is to create a wire the length of the circumference of the circle.
Last edited by PyroJoe on Fri Sep 10, 2010 4:19 pm, edited 1 time in total.
Re: Simple Cone Layouts
Next draw line#1 and line#2 with a straight edge, make sure to look down the edge to insure it is straight!
This should create point#1.
Then Draw arc#1 and arc#2 with a compass.
Fit precisely as possible the wire onto arc#2 (use tape if needed of the type that won't tear the paper when removed). Then place a dot at the end to the right where the wire ends.
Draw Line#3 from point#1 to the dot with straight edge.
This should create point#1.
Then Draw arc#1 and arc#2 with a compass.
Fit precisely as possible the wire onto arc#2 (use tape if needed of the type that won't tear the paper when removed). Then place a dot at the end to the right where the wire ends.
Draw Line#3 from point#1 to the dot with straight edge.
Last edited by PyroJoe on Fri Sep 10, 2010 5:59 pm, edited 3 times in total.
Re: Simple Cone Layouts
This should create a template (shown shaded) to construct the cone section.
Re: Simple Cone Layouts
Generally compass are to small to make these type arcs, so what I will do in a pinch, is take a thin piece of wood and drill a slightly undersized hole, then hammer a nail in one end.
Then drill 2 small holes to match the arc radius needed.
Looks something like this:
Then drill 2 small holes to match the arc radius needed.
Looks something like this:

 Posts: 3716
 Joined: Tue Dec 07, 2004 6:51 pm
 Antipspambot question: 0
 Location: 41d 1' N 80d 22' W
Re: Simple Cone Layouts
 the geometric construction of a truncated cone may be found in a sheet metal worker's handbook and
 use ps as a drawing tool.
Re: Simple Cone Layouts
This topic is generally dedicated to "simple" and "limited resources".
As a challenge can anyone provide a simpler solution with fewer resources?
Thinking about it, if the sheet metal was large enough, the paper could be omitted.
As a challenge can anyone provide a simpler solution with fewer resources?
Thinking about it, if the sheet metal was large enough, the paper could be omitted.

 Posts: 3716
 Joined: Tue Dec 07, 2004 6:51 pm
 Antipspambot question: 0
 Location: 41d 1' N 80d 22' W
Re: Simple Cone Layouts
Precisely why I chose and suggested PS.PyroJoe wrote:This topic is generally dedicated to "simple" and "limited resources".
Re: Simple Cone Layouts
Ok for the sake of thoroughness, I'll bite.
PS is a acronym for?
PS is a acronym for?

 Posts: 3716
 Joined: Tue Dec 07, 2004 6:51 pm
 Antipspambot question: 0
 Location: 41d 1' N 80d 22' W
Re: Simple Cone Layouts
We discussed it some 10 mos. ago in the thread, patterns.
This is ¼ size.
The "tools" are free and work on most OSes.
This is ¼ size.
The "tools" are free and work on most OSes.
Re: Simple Cone Layouts
Ah, PostScript
10 months ago, Iv'e slept at least twice since then, ha
I made a couple presumptions in the above that many folks don't own a computer or printer.
10 months ago, Iv'e slept at least twice since then, ha
I made a couple presumptions in the above that many folks don't own a computer or printer.
Re: Simple Cone Layouts
Instead of constructing a compass, a tape measure can be used to measure off POINT #1 marking dots on the measure of ARC#1 and ARC#2. Just connect the dots and you have it.

 Posts: 1241
 Joined: Sat Oct 04, 2003 1:54 am
 Antipspambot question: 0
 Location: Central California
Re: Simple Cone Layouts
Here's my simple answer:
http://www.ilogic.com/conecalc.htm
Also, a set of "trammels" is available from several sources such as this:
http://www.amazon.com/gp/product/B00004 ... CTBPJ6A7YW
I just clamp them to an aluminum ruler and adjust to size.
Hope this helps!
Bill
http://www.ilogic.com/conecalc.htm
Also, a set of "trammels" is available from several sources such as this:
http://www.amazon.com/gp/product/B00004 ... CTBPJ6A7YW
I just clamp them to an aluminum ruler and adjust to size.
Hope this helps!
Bill