Dick,
Last word until you get a question...

I don't understand the offset part.  Do you draw two arcs: one the real 
centerline and another that is 3/8" shorter radius?  Why the shorter radius arc?
Ben Trousdale

--- In [email protected], Richard Karnes <rnk2202@...> wrote:
>
> Gents/Ladies --
> 
> A final word (from me) on spiral easements.
> 
> You can really go off the deep end with the mathematics, calculating and 
> plotting equally-spaced offsets from the end of your tangent in order to plot 
> points that define the easement curve.  (I used to do this in surveying 
> class, calculating and laying out spirals on the main Cornell quad.)
> 
> So don't do that.
> 
> Any stiff, springy, straight item (a spline) intrinsically conforms to a 
> least-energy curve when bent and held in place, provided that you don't 
> over-bend it so as to kink it.  One of the best items to use is a metal rail, 
> the stouter the better. Plot your straight-track centerline and your curved 
> centerine of a particular radius.  Make your radius about 3/8" smaller, but 
> from the same center point, such that the curve misses the straight by 3/8".  
> Then take a yard- or meter-length of .148 or .172 rail, spike the first six 
> inches along the end of the straight centerline in three places, so that one 
> edge of the rail base is against the centerline.  Then flex the rail (spline) 
> by hand until the rail matches your curve, making sure that you allow enough 
> free length to avoid a reverse curve in your spline.  Spike the rail to the 
> curve in three places over about six inches of length.  Now draw your pencil 
> along the rail base to create your easement
>  centerline.  Be careful not to move the rail as you do this --You may need 
> to hold it down with your other hand as you draw.  Resist the urge to spike 
> the rail along the eased curve, as this can introduce unpleasant lateral 
> centerline excursions.
> 
> For curves less than 33", use a 1/2" offset.  For curves greater than 45", 
> use a 1/4" offset.  Close enough for government work, as they say...
> 
> Dick Karnes
>




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