What is it about?

The chord method is used for the horizontal and vertical versine measurements of rails. In this study, the horizontal versines of the left and right rails were precisely calculated, and the vertical versine functions were exactly derived.

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Why is it important?

According to the inferences, the line charts used for determining the vertical versine were created to demonstrate the proportional relationship with the grade difference and the curve length. The equations for proximate vertical versine calculations were therefore derived. The asymmetrical chord measurements were introduced as well.


I hope that the functions of versines derived in this article could be widely applied for rail alignment measurements in the future.

Ship-Bin Chiou
Taipei Rapid Transit Corporation

Read the Original

This page is a summary of: Precise railway alignment measurements of the horizontal circular curves and the vertical parabolic curves using the chord method, Proceedings of the Institution of Mechanical Engineers Part F Journal of Rail and Rapid Transit, September 2018, SAGE Publications,
DOI: 10.1177/0954409718800527.
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