The rectangular coordinates of the Bloss transition

(Quickly but nostalgically written, remembering the good old days when Taylor was not yet known as the name of a beautiful singer but as the laborious math trick used to solve rather painful Mathematical Analysis problems …) The  deflection angle (θ) of the Bloss transition is: The rectangular equations (x and y) of the curve are…

Joint Closure Temperature

Note: This article presents the Joint Closure Temperature (JCT) for free thermal expansion (FTE) track superstructure ; it is directly related and should be read in conjunction with the following articles: When can a rail be called long? presenting the definition of the concepts long rail and short rail, from thermal behaviour perspective. Track longitudinal resistance presenting the two…

The limits of vertical acceleration

The theory of vertical movement. The parabolic projectile motion An object thrown in the air, near the earth’s surface, moves along a parabolic path under the action of gravity only. The only force of significance that acts on the object is gravity, which acts downward to cause a downward acceleration. Because of the object’s inertia, no external horizontal force is needed…

Cant and Cant Deficiency. Where is the 11.82 coming from?

A railway vehicle moving along a circular curve is subjected to an inertial centrifugal acceleration (ac), directly proportional with its speed and in reverse proportion with the curve radius. This lateral acceleration is perceived by the passengers as an uncomfortable sensation and, above a certain limit, endangers the lateral stability of the running vehicle. In…