The Clothoid

INTRODUCTION In transportation infrastructure design the route is defined based on its axis (centreline) – the alignment model. This simplified abstract model is designed in such a way to clearly define the principle course of the infrastructure project. For most of the transportation means the infrastructure alignment design is split into two main two-dimensional complex…

Circle or “egg”?

After the post about the limits of vertical acceleration, and even before, I was asked what was the original curve used to connect vertical gradients. What was first, the circle or the “egg”- the parabolic curve? The expected answer was “the circular curve” because, presumably, a circle can be drawn easier than a parabola… “How…

The versine formulae

An anecdote: Track geometry exam, somewhere at a Civil Engineering University. One of the exam subjects is realignment methods and types of versines. This important subject was covered during the track course hours but also in four seminars and in a realignment project homework – so it was supposed to be an easy one … After checking the…

La voie ferrée

When it comes to Railway track engineering literature, there are a few books we can consider “classic”. Even old, some very old, these books still have significant railway engineering value and can be always a good reference both for young and inexperienced engineers as for the ones that already have robust railway track experience and…

How is the cant measured?

The good old times Since the early beginnings of the railway, the track engineers were aware of the centrifugal forces influence to the train riding when passing through a curved section of track. To compensate this influence, the track was inclined laterally by creating a positive level difference between the outer and inner rails of a…

Virtual Transition

This is an animation showing how a PWay Track Horizontal Alignment Virtual Transition is defined by the trajectory of the vehicle centre, when is passing over a railway track section with a sudden change in curvature: The nature of this curve is presented in this post: THE VIRTUAL TRANSITION CURVATURE VARIATION. More details about this principle…