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 Post subject: conversion formulas for grades and curves
PostPosted: Sat Nov 20, 2004 8:41 pm 

Joined: Mon Aug 23, 2004 8:17 am
Posts: 614
Location: Taylors, SC
I'm looking for two formulas. I was an art major, not math, so figuring the forumlas out on my own isn't a very good option.

I want to convert UK gradients (1 in 20, etc.) into percentages. I also want to convert dgree of curvature into radius. Can anybody supply the appropriate formulas?

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 Post subject: Re: conversion formulas for grades and curves
PostPosted: Sat Nov 20, 2004 9:30 pm 

Joined: Thu Aug 19, 2004 2:19 pm
Posts: 1124
Location: Washington, D.C.
The first is easy: divide out your fraction then multiply x 100

So, for 1 in 20, 1 divided by 20 is .05, x100 = 5%

For the second:

R = 50/sin(A/2)

where R is Radius in feet and A is degree of curvature. See

http://www.steamlocomotive.com/model/curve.shtml

for a discussion and a table of radii for common prototype curves in degrees.

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 Post subject: Re: conversion formulas for grades and curves
PostPosted: Sun Nov 21, 2004 7:54 am 

Joined: Tue Aug 24, 2004 9:21 am
Posts: 201
Location: Tidewater, VA
If you contact me back channel, I'll send you a spread sheet with the formulas inbedded in them.

Ed

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