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the other way is to make the incline in steps. meaning have the incline rise to a flat horizontal or much less incline  portion then rise again to another flat section.  the inclines can then be steeper than 2% because the engine has greater traction on the flat sections to pull up the rest of the cars,

this may take some trials to get it to work. the curved track should be part of the flatter sections.

John Ochab posted:

I used trigonometry for my 2 degree grade elevations. From trigonometry the tangent of a right triangle is the rise divided by the run. If a 3 inch rise is wanted at a 2 degree elevation, the equation is the tangent of 2 degrees is equal to the 3 inch rise divided by the run. Solve this equation for the run or run is equal to the rise of 3 inches divided by the tangent of a 2 degree angle. Solving this equation the base is 85.91 inches, this can be checked by dividing the 3 inches by 85.91 inches and calculate the arctangent which will give the angle of 2 degrees. If you are going to mount the track on a length of plywood, square the 3 inch leg and square the 85.91 inch leg,add them together, and take the square root of this number, this will be the hypotenuse of this right triangle and the length of the plywood.Solving this right triangle 3 inches squared is 9 inches squared , 85.91 inch squared is 7380.5 inch squared, sum both numbers or 7389.5 inches squared take the square root of 7389.5 inches squared which equalss 85.96 inch. Note I would cut the plywood length at 86.25 inches and trim for fit. 

I would recommend a 2 degree maximum rise, using an MTH Railking berkshire steam engine, it will pull 25 cars up the 2 degree grade at appriximately 2 to 3 max amps, I also tried a Williams GP-9  and a trainmaster seperately same numer of cars, each engine had two can motors, amp range 2 to 3 max amps. Track Gargraves tinplate keep clean to minimize or prevent wheel slippage. Also note, the 25 cars were all tank cars, Kline or MTh, the number of cars that can be pulled up a grade is based on the car weight and the influence of this weight on the drawbar pull and lubrication of the wheelsets in the car trucks, the weight of the engine on the driving wheels (tractive effect) is another consideration. 

Oh MY GOD!!!  I just barely made it through Plane Geometry my sophomore year in High School and stopped right there.  After reading the above post I'm glad I did.  Solid G and Trigonometry would have laid waste to me.  

My older layout years ago had an incline that was 12’ long to have a 6” clearance underneath. All my engines pulled 7 or 8 18” aluminum cars with no problem. Then I bought the 1st Big Boy that MTH produced. No problem on the incline up but when reaching the bottom coming down the front of the steamer hit the rails and stopped. I was able to extend the incline and solved the problem. 

 

 

The incline sets that Lionel sells are around an 8% grade.  In other words, you can get plenty of rise in a short distance.  Is it prototypical? No.  But it will work if you have limited space.

This picture is about 15 years old of my old layout under construction.  It is 12' long and that incline rises 7" in about 10'.    Hope this helps as a visual reference. 

-Greg

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Last edited by Greg Houser

Grade is rise divided by run.  Multiple by 100 to get it in percent.  At 8% the difference between the horizontal run vs. the track length is negligible.  Even more so for lesser grades.

Example: 8 inch rise in 100 inches run is 8%.  The distance up the grade is 100.32 inches.  For 2% with a run of 100 inches the distance up the grade is 100.02 inches.

(updated after proofreading!)

Last edited by penn station

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