Superelevation - Revision history

S301: Redirected page to HowTo/Use Superelevation

2018-08-03T02:15:37Z

Redirected page to HowTo/Use Superelevation

← Older revision		Revision as of 02:15, 3 August 2018
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			#Redirect [[HowTo/Use_Superelevation]]
	~~== Superelevation : a new feature ==~~



	~~The "superelevation" or the slope of rails in curves is proposed from now on in T:ANE.~~

	Here is the example of a machine launched to 80 kph in a curve of 500 meters of beam. The slope of the track has to be 4 ° to resist the centrifugal force and not not wear out prematurely the outer rails.

	[[~~File:5.jpg]]~~


	~~However, the implementation of the superelevation in T:ANE is little transparent for the moment. Here is thus a small guide who will supply you all the necessary elements.~~


	~~In T:ANE, the superelevation is adjusted by means of two parameters. We reach them by the panel "track", and "advanced"~~
	~~[[File:10.jpg]]~~



	~~[[File:11.jpg]] By clicking on a '''summit of a track spline''', we reveal both parameters to be served. These two parameters are thereafter referred as '''p1''' and '''p2.~~
	~~'''~~


	~~== '''Superelevation : short definition''' ==~~
	~~The Superelevation is the height which takes the outside rail compared with the internal rail in a curve.~~

	~~It is calculated as the plan below shows it:~~

	~~[[File:3bis.jpg]]~~


	~~If, to calculate the superelevation, the beam of the curve is unknown, it can be calculated by measuring the arrow and the chord of the curve:~~

	~~[[File:1.jpg]]~~

	~~Every country has its own standards of superelevation. We find them rather easily on the internet.~~

	~~In France, the superelevation does not have to exceed 16 cms (6.3 inches) in standard gauge way and 10 cms (3.94 inches) in metrics.~~



	~~== '''Mode of calculation in T:ANE''' ==~~

	~~To proceed to the calculations, download the spreadsheet [https:/~~/~~onedrive.live.com/redir?resid=90A83EF88260D195!3903&authkey=!ACQyFHqKJI4KJq0&ithint=file%2cxlsx here].~~

	~~In the left column, seize the '''minimum radius of curvature''' that can know your network, a maxi speed and choose the gauge (standard or metric).~~

	~~Observe the calculated parameter of Superelevation (SE). If it exceeds 6.3 inch in standard gauge or 3.94 in metrics, it is necessary to decrease the maxi speed (according to French standards).~~

	The parameters p1 and p2 then obtained can apply to all the curves of your network, whathever is their radius of curvature, since the maxi speed will not exceed the one that you seized in the spreadsheet.

	~~[[File:12.jpg]]~~



	~~'''An example:'''~~

	~~In the spreadsheet, you seize the values beam = 150 ft, speed = 55 mph and standard gauge. And you obtain a superelevation = 5 inches , p1 = 43.73 and p2 = 0.089 radians.~~

	~~You put a track with these parameters and you make vary the beam of the curve:~~

	~~- If the beam is 150 ft, the superelevation will be 5 inches and the angle of inclination of the way of 0.089 radians~~

	~~- If the beam is 300 ft, the superelevation will be 2.5 inches and the angle of inclination of the way of 0.044 radians~~

	~~- If the beam is 75 ft, the superelevation will be 10 inches and the angle of inclination of the way of 0.178 radians.~~

	If the speed of your trains does not exceed 55 mph, the installation is correct. Except that in this example and for a 75 ft beam, the superelevation exceeds the authorized 6.3 inches. By means of the spreadsheet, look for the maxi speed which, for a 75 ft beam, allows to respect a maxi superelevation of 6.3 inches. Apply the new parameters p1 and p2 to your curve.


	~~'''Other points to be respected:'''~~

	~~- There is no superelevation for speeds lower than 15.5 mph in standard gauge and 18.5 mph in metrics (French standards, 25 kmph and 30 kmph)~~

	~~- On networks with gauge of 2 ft or less, the speed is limited to 15.5 mph (25 kph) : there is thus no superelevation either.~~


	~~On the spreadsheet, the right column allows you to calculate p1 and p2 from the values of chord and arrow of a curve.~~



	~~== '''Methodology''' ==~~


	~~Formulae used on the spreadsheet are two orders:~~

	~~- the calculation of the beam of a curve from the measure of its arrow and its chord~~

	~~- the calculation of the superelevation and the angle formed by the track~~

	~~are formulae of physics which we can be easily found in diverse books or web sites.~~


	~~Formulae allowing to calculate p1 and p2 in T:ANE are personal extrapolations, having identified that the parameter p1 is proportional in the square of the maxi speed in standard gauge.~~

	~~I was then able to build a model according to the graph below:~~


	~~[[File:8.jpg]]~~

	~~The calculations were the object of test directly on a map.~~

	~~[[File:5.jpg]] Screenshot pasted in Photoshop and drawing of a red line on the front of the machine : Photoshop indicates the angle of the line (here 4,2 °).~~


	To estimate the robustness of the model, I proceeded to a series of tests with diverse curves, speeds and gauges. I then compared the value of calculated angles with the value of observed angles. By keeping in mind that a gap from some tenth of degree is of course imperceptible in the eye.

	~~[[File:6bis.jpg]]~~

	~~The coefficient of correlation between both series of degrees is: r² = 0.983. Q.E.D.~~

	~~Return To:~~
	*[[HowTo\|How To Guides]]
	*[[Help:TRS2019_Surveyor\|Surveyor]]

	~~[[Category:TRS19]][[Category:Help~~]]

S301 at 01:57, 3 August 2018

2018-08-03T01:57:27Z

← Older revision		Revision as of 01:57, 3 August 2018
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	The coefficient of correlation between both series of degrees is: r² = 0.983. Q.E.D.		The coefficient of correlation between both series of degrees is: r² = 0.983. Q.E.D.

			Return To:
			*[[HowTo\|How To Guides]]
			*[[Help:TRS2019_Surveyor\|Surveyor]]

	[[Category:TRS19]][[Category:Help]]		[[Category:TRS19]][[Category:Help]]

S301 at 05:11, 30 July 2018

2018-07-30T05:11:48Z

← Older revision		Revision as of 05:11, 30 July 2018
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	The coefficient of correlation between both series of degrees is: r² = 0.983. Q.E.D.		The coefficient of correlation between both series of degrees is: r² = 0.983. Q.E.D.

			[[Category:TRS19]][[Category:Help]]

Vincentrh at 09:27, 6 May 2016

2016-05-06T09:27:35Z

← Older revision		Revision as of 09:27, 6 May 2016
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	== '''Mode of calculation in T:ANE''' ==		== '''Mode of calculation in T:ANE''' ==

	To proceed to the calculations, download the spreadsheet [~~http~~://~~1drv~~.ms/~~1NUaCsF~~ here].		To proceed to the calculations, download the spreadsheet [https://onedrive.live.com/redir?resid=90A83EF88260D195!3903&authkey=!ACQyFHqKJI4KJq0&ithint=file%2cxlsx here].

	In the left column, seize the '''minimum radius of curvature''' that can know your network, a maxi speed and choose the gauge (standard or metric).		In the left column, seize the '''minimum radius of curvature''' that can know your network, a maxi speed and choose the gauge (standard or metric).

Vincentrh at 17:17, 7 November 2015

2015-11-07T17:17:20Z

← Older revision		Revision as of 17:17, 7 November 2015
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	[[File:11.jpg]] By clicking a '''summit of a track spline''', we reveal both parameters to be served. These two parameters are thereafter referred as '''p1''' and '''p2.		[[File:11.jpg]] By clicking on a '''summit of a track spline''', we reveal both parameters to be served. These two parameters are thereafter referred as '''p1''' and '''p2.
	'''		'''

Vincentrh at 17:16, 7 November 2015

2015-11-07T17:16:52Z

← Older revision		Revision as of 17:16, 7 November 2015
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	In T:ANE, the superelevation is adjusted by means of two parameters. We reach it by the panel "track", and "advanced"		In T:ANE, the superelevation is adjusted by means of two parameters. We reach them by the panel "track", and "advanced"
	[[File:10.jpg]]		[[File:10.jpg]]

Vincentrh at 17:14, 7 November 2015

2015-11-07T17:14:53Z

← Older revision		Revision as of 17:14, 7 November 2015
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	[[File:6bis.jpg]]		[[File:6bis.jpg]]

	The coefficient of correlation between both series of ~~degree~~ is: r² = 0.983. Q.E.D.		The coefficient of correlation between both series of degrees is: r² = 0.983. Q.E.D.

Vincentrh at 17:13, 7 November 2015

2015-11-07T17:13:47Z

← Older revision		Revision as of 17:13, 7 November 2015
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	[[File:6bis.jpg]]		[[File:6bis.jpg]]

	The coefficient of correlation between both series of degree is: r² = 0.983.		The coefficient of correlation between both series of degree is: r² = 0.983. Q.E.D.

Vincentrh at 17:11, 7 November 2015

2015-11-07T17:11:40Z

← Older revision		Revision as of 17:11, 7 November 2015
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	== Superelevation ==		== Superelevation : a new feature ==

Vincentrh at 17:11, 7 November 2015

2015-11-07T17:11:06Z

← Older revision		Revision as of 17:11, 7 November 2015
Line 1:		Line 1:
	~~<nowiki>Insert non-formatted text here</nowiki>The "superelevation" or the slope of rails in curves is proposed from now on in T:ANE.~~

	Here is the example of a machine launched to 80 kph in a curve of 500 meters of beam. ~~Its~~ slope has to be 4 ° to resist the centrifugal force and not not wear out prematurely the outer rails.		== Superelevation ==



			The "superelevation" or the slope of rails in curves is proposed from now on in T:ANE.

			Here is the example of a machine launched to 80 kph in a curve of 500 meters of beam. The slope of the track has to be 4 ° to resist the centrifugal force and not not wear out prematurely the outer rails.

	[[File:5.jpg]]		[[File:5.jpg]]
Line 9:		Line 14:


	In T:ANE, the superelevation is adjusted by means of two parameters. We reach it by the panel "~~rail~~", and " advanced ~~mode~~ "		In T:ANE, the superelevation is adjusted by means of two parameters. We reach it by the panel "track", and "advanced"
	[[File:10.jpg]]		[[File:10.jpg]]



	[[File:11.jpg]] By clicking a '''summit of spline ~~of track~~''', we reveal both parameters to be served:		[[File:11.jpg]] By clicking a '''summit of a track spline''', we reveal both parameters to be served. These two parameters are thereafter referred as '''p1''' and '''p2.
			'''


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	Every country has its own standards of superelevation. We find them rather easily on the internet.		Every country has its own standards of superelevation. We find them rather easily on the internet.

	In France, the superelevation does not have to exceed 16 cms in standard gauge way and 10 cms in metrics.		In France, the superelevation does not have to exceed 16 cms (6.3 inches) in standard gauge way and 10 cms (3.94 inches) in metrics.