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Would you mind checking my radius / grade math?

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  • Member since
    June 2006
  • From: Maryville IL
  • 9,577 posts
Would you mind checking my radius / grade math?
Posted by cudaken on Wednesday, November 10, 2010 8:14 AM

 Still more doodling, this time it is based on this.

 I want to make sure I am doing the math correct. track at the top starts around a 42 inch radius turn (Mountain) climbs 3.5 inches for 330 degrees and crosses it self.

 If I have done the math correct the total run of the turn section only is 244.88 inches, and with climbing 3.5 inches the grade should be 1.45% Does the math sound correct?

 I know there would be more drag with it going around the turn. Right now I am just checking the math.

                    Ken

I hate Rust

  • Member since
    January 2007
  • From: Eastern Shore Virginia
  • 3,290 posts
Posted by gandydancer19 on Wednesday, November 10, 2010 9:09 AM

Sounds close to me.

A 1.5% grade is a 1.5 inch rise every 100 inches, so it looks like you are good.

Elmer.

The above is my opinion, from an active and experienced Model Railroader in N scale and HO since 1961.

(Modeling Freelance, Eastern US, HO scale, in 1962, with NCE DCC for locomotive control and a stand alone LocoNet for block detection and signals.) http://waynes-trains.com/ at home, and N scale at the Club.

  • Member since
    September 2002
  • 7,486 posts
Posted by ndbprr on Wednesday, November 10, 2010 9:16 AM

I got 241.9" (84" diameter x pi x330/360).  241.9/3.5 gives 69" per inch of rise or 1.4%.

  • Member since
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  • From: Reading, PA
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Posted by rrinker on Wednesday, November 10, 2010 10:06 AM

 Yeah it's actually a little lower grade, so you should be fine. 'Only' 263 inches of length - that's almost 22 feet of track! I barely have that much on my main line on 3 walls of the room.

Length of run is simple - 2 x radius x 3.14. If you want to do it in your head use 6x radius, knowing the number will come out low so any grade will be less than expected.

                                 --Randy

 


Modeling the Reading Railroad in the 1950's

 

Visit my web site at www.readingeastpenn.com for construction updates, DCC Info, and more.

  • Member since
    June 2006
  • From: Maryville IL
  • 9,577 posts
Posted by cudaken on Wednesday, November 10, 2010 4:39 PM

 I was pretty sure I was right, thank you all for checking for me.

                  Ken

I hate Rust

  • Member since
    October 2004
  • From: Colorful Colorado
  • 8,639 posts
Posted by Texas Zepher on Wednesday, November 10, 2010 7:28 PM

Did you account for the thickness of the bridge and track, or do you need to go a little bit higher than the 3.5"?

  • Member since
    June 2006
  • From: Maryville IL
  • 9,577 posts
Posted by cudaken on Thursday, November 11, 2010 5:29 AM

 Have thought about it some what and need to see how tall the beams are. But like I said, this was more of a math test for now.

                    Ken

I hate Rust

  • Member since
    February 2002
  • From: Reading, PA
  • 30,002 posts
Posted by rrinker on Thursday, November 11, 2010 7:40 AM

 Should be plenty to allow for the clearance - a 1.5% grade over that distance is actually 3.9" of rise. A 2% grade is more than 5" - enough to clear benchwork rather than just an HO scale bridge. The 42: radius makes for lots of length to keep the grade % down.

                        --Randy


Modeling the Reading Railroad in the 1950's

 

Visit my web site at www.readingeastpenn.com for construction updates, DCC Info, and more.

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