Features the elevation of the outer rail in the curved part of the road

Abstract

In the layout of a railway track, its curved section is of particular importance. When transitioning from one
straight section of the track to another, a curved segment arises. In the curved section, the outer rail is elevated
to neutralize the centrifugal force that appears during the turning of the train. This study is dedicated to
analysing the functional properties of the elevation of the outer rail in a railway track. The transition section
is divided into two equal parts. This division becomes the centre of symmetry for both parts. Such a
configuration ensures a smooth and symmetric transition of the train at both ends of the transitional section.
The elevation function value is calculated using a differential equation derived by the author. The layout of
the elevated part is presented in a schematic drawing, and a method is proposed to compute the elevation that
ensures a smooth transition of the train from a straight section to a curved one.