>    Posted by: "John Degnan" [EMAIL PROTECTED] scaler164
>    Date: Mon Jan 14, 2008 2:52 pm ((PST))
>
> Based on this... what should the degrees of graduation be in  
> tightening of curves; 2 degrees per some-odd distance or some larger  
> degree per whatever distance?  Is all of this covered in Armstrong's  
> book?


John Armstrong favors the "bent stick" method, which he describes as a  
fair, practical approximation of the mathematical "cubic spiral" used  
by railroads.

His book covers the technique for curves of various sizes, including  
24, 30, 32, 42 and 54 inches. For example, the transition from  
straight track to a 42-inch radius curve would be 25 inches long and  
the center of the curve would be offset 5/8-inch. See the book for  
details. (It's also discussed in the NMRA Data Sheets, and the  
technique must be described on the Internet somewhere.)

"Degrees of curvature" has no real application to model railroading.  
It refers to the angle formed at the center of a curve between two  
points on the curve. It also refers to the procedure used by railroad  
surveyors to lay out a curve. Railroads favor small degrees of  
curvature, which make for impossibly large radius curves for model  
railroads.

I didn't use transition curves on my small layout, because I settled  
on a 44-inch minimum radius and didn't figure they would be necessary  
for operation. However, I do see equipment lurch slightly when  
entering or leaving a curve, so some kind of transition is desirable,  
if only for looks.
--
Bill Roberts






 
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