Track transition curve: Difference between revisions

Revision as of 20:35, 20 April 2016

Revision as of 05:06, 20 October 2016

Line 16:

| edition = 17th

| pages = 651–653

| url = httphttps://books.google.com/books?id=VSIJAAAAIAAJ

}}</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. This was also known as cubic parabola at that time.

Line 27:

| year = 1893

| publisher = Wiley

| url = httphttps://books.google.com/books?id=DnA5AAAAMAAJ&pg=PA

}}</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 = httphttps://books.google.com/books?id=k4WCNKMdOZ0C&pg=PP7

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

| last = Higgins

Line 48:

| booktitle = Minutes of Proceedings of the Institution of Civil Engineers

| pages = 161–179

| url = httphttps://books.google.com/books?id=aQsAAAAAMAAJ&pg=PA161

}}</ref>

Line 141:

| year = 1907

| edition = 3rd

| url = httphttps://books.google.com/books?id=ZVZCzW2codgC}}

{{refend}}

{{Rail tracks}}