What is the TGSD Calculator?

This post follows up from the Faith of TGSD Calculator. Before my four year too late discussion with David Marriott I wrongly believed that the TGSD Calculator computes a special kind of uncompensated accelerations that appear only at the points where any design element changes to another and turns those into a wave-like shape that…

The Faith of TGSD Calculator

Motto: “I am not the Messiah!”,  Brian For quite some time I wanted to write a post about two articles published in the Permanent Way Institution Journal, co-authored by David Marriott and me, articles referring to the “inherent standard deviations”. I’ll try to do that but first I will need to tell you, dear reader,…

Supersonic train?

In which the author writes not about Hyperloop, as some readers might think, but about trains running at the speed of sound on very conventional railway track, hoping to repay in this way the readers for his so very long blogging absence. The author also hopes the last comma was sufficient for the readers to…

Stress transition zones within CWR

The location of the stress transition zone is not only limited to the extremities of a continuous welded rail (CWR) track, the case presented in a previous article – CWR stress transition zone.  A stress transition zone may also be present between two fixed zones, inside the CWR. These internal stress transition zones are shorter…

The shortest path …

A long time ago in a country far, far away … The King heard about a new marvel of engineering … in England was invented a monstrous machine. It was moving by its own, magically propelled by coal fire and hot steam! Its speed was higher than the quickest eagle or the fastest horse! It…

Vehicle rollover speed

The Santiago de Compostela derailment occurred on 24 July 2013, when a high-speed train, travelling from Madrid to Ferrol (north-west of Spain) derailed at high speed on a 400 m radius curve, at Angrois, in Santiago de Compostela. Around 140 people were injured and 79 died. Data from the train’s black box revealed that before the start of the curve the train was travelling at…

Thermal forces and broken rails

Rail steel has a considerably higher carbon content (0.7-0.8%), and hence is more brittle than mild steel. A variety of stress concentrating defects in rails, combined with the alternating loads from the passage of traffic, can produce slowly propagating fatigue crack. When this crack attains a critical size it causes an almost instantaneous brittle fracture…

CWR stress transition zone

(prelude to a new PWI Journal article) A stress transition zone is any section of continuous welded rails (CWR) where the thermal force is variable, the longitudinal resistance (p) is active and rail movement occurs due to rail temperature variations. The most common (and well known) location of the stress transition zone is at the…

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…