Track transition curve: Difference between revisions

Revision as of 08:24, 9 January 2020

Revision as of 06:54, 13 March 2020

Line 15:

| publisher = Charles Griffin

| edition = 17th

| pages = [https://archive.org/details/amanualcivileng02rankgoog/page/n656 651]–653

| pages = 651–653

| url = https://booksarchive.google.comorg/details/books?id=VSIJAAAAIAAJamanualcivileng02rankgoog

}}</ref> cites several such curves, including an 1828 or 1829 proposal based on the "[[sine wave|curve of sines]]" by [[William Gravatt]], and the ''curve of adjustment'' by [[William Froude]] around 1842 approximating the [[elastica theory|elastic curve]]. The actual equation given in Rankine is that of a [[Polynomial#Graphs|cubic curve]], which is a polynomial curve of degree 3, at the time also known as a cubic parabola.

Line 27:

| year = 1893

| publisher = Wiley

| url = https://booksarchive.google.comorg/details/books?id=DnA5AAAAMAAJ&pg=PAtransitioncurve02crangoog

}}</ref> gives credit to one Ellis Holbrook, in the Railroad Gazette, Dec. 3, 1880, for the first accurate description of the curve. Another early publication was ''The Railway Transition Spiral'' by [[Arthur N. Talbot]],<ref>{{cite book

| last = Talbot

Line 34:

| year = 1901

| publisher = Engineering News Publishing

| url = https://booksarchive.google.comorg/details/books?id=k4WCNKMdOZ0C&pg=PP7railwaytransiti01talbgoog

}}</ref> originally published in 1890. Some early 20th century authors<ref name="higgins">{{cite book

| last = Higgins

Line 141:

| year = 1907

| edition = 3rd

| url = https://booksarchive.google.comorg/details/books?id=ZVZCzW2codgCtransitioncurve01nrgoog}}

{{refend}}

{{Rail tracks}}