John, there was a good article in the October, 1969 Model Railroader giving
instructions for making a template for spiral easements.  The article had
drawings of about four or five different templates covering different radii
of track curvature.  I made one that covers curves from 28" to 48" radius.
I used it for laying out the many curves on my Midland Pacific that are all
within that range.  I don't suppose you have access to that issue but if you
are interested I think I can make and send you a Xerox copy of my template.
You could trace it onto a sheet of 1/8" hardboard or thinner styrene.  I am
surprised to see you are not listed in the NASG Directory.  Shame on you,
but like I said, if you are interested send me your mailing address off
list.  Wally Collins

 

-----Original Message-----
From: [email protected] [mailto:[EMAIL PROTECTED] On Behalf Of
John Degnan
Sent: Saturday, December 09, 2006 7:56 PM
To: [email protected]; Richard Karnes
Subject: Re: {S-Scale List} Re: NASG/AM Heavyweight Operation

 

Well, I must have missed your earlier post, 'cause I don't remember seeing
any of this before. But I'm not sure I completely understand it all, anyway
(I didn't pay much attention in math class). So maybe I'll just try to build
myself a large version of an old drafter's tool called a "French Curve"
(http://mathworld. <http://mathworld.wolfram.com/FrenchCurve.html>
wolfram.com/FrenchCurve.html) out of a thin sheet of plywood or a thick
sheet of styrene, and cut out the curve starting with a wider radius and
gradually tighten it to the desired 40" (or smaller) radius... then just lay
it where I want it on the layout and trace around it for placing the
center-line for the track/roadbed.

HECK with all the math...how's that for simple!?

John Degnan

----- Original Message ----- 
From: Richard Karnes 
To: [EMAIL PROTECTED] <mailto:S-Scale%40yahoogroups.com> .com 
Sent: Saturday, December 09, 2006 1:02 PM
Subject: {S-Scale List} Re: NASG/AM Heavyweight Operation

John --

I have already posted how to create spiral easements without math. 
Here's a repeat of that message:

The key to good performance with any body-mounted coupler is your 
trackage alignment. There is no real minimum radius for body-mounted 
couplers IF you design curve transitions (spiral easements) into your 
alignment. You can do this without math simply by using a length of 
rail as a spline to plot your track centerline. First draw your 
circular arc offset by about a half inch from your straight track 
centerline. (Use a larger offset for very small radii, a smaller one 
for very large radii.) Then place your rail spline so that its center 
is approximately where the straight track should join the curve. Then 
spike one end of the spline aling the straight-track line and the other 
end along the circular arc. Spike each end in three places to ensure 
conformance to both the straight line and the circular arc. Then use 
the location of the spline as a template to draw your transition 
centerline.

If you wish to have gently undulating alignment instead of perfectly 
straight track, connect three lengths of rail (code 125 or heavier) with 
rail joiners and solder them together so you have a perfectly straight 
9-foot length. Spike this down in just four or five places and let the 
rail take its natural shape between the spiked locations, then draw your 
line along the edge of the rail.

There is a scientific/mathematical foundation for this based on 
minimum-energy configurations of splines. Four our purposes, it's 
enough to know that such an alignment for trackage minimized lateral 
offset between the ends of railroad cars.

Dick Karnes

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