TRN-23

Rail equilibrium cant

h = G v² / (g R). Equilibrium cant; deficiency is h_eq − h_actual.

Reading speed

RailRail cant

Governing equation

h=\dfrac{G v^2}{g R}

where

G: Gauge (m)
v: Speed (m/s)
R: Radius (m)
h: Equilibrium cant (mm)

Lecture brief

Historical brief

Highway and traffic theory crystallized with Greenshields’ 1935 speed–density line, then AASHTO stopping sight and equivalent axles. The lab is that operational arithmetic of flow, braking and pavement load. This sheet (TRN-23 — Rail equilibrium cant) is the form associated with Rail cant. Working symbols: $G$ , $v$ , $R$ $\rightarrow$ $h$ . Resolve weight and centripetal demand across the gauge G. Design uses a cant deficiency for mixed traffic.

Purpose

Purpose: compute

h

from

G

v

R

in Transport via

h=\dfrac{G v^2}{g R}

h = G v² / (g R). Equilibrium cant; deficiency is h_eq − h_actual. Use it when a real transport question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given

G = 1.435\,\mathrm{m}

v = 40.000\,\mathrm{m/s}

R = 800.000\,\mathrm{m}

, the governing relation

h=\dfrac{G v^2}{g R}

yields

h = 292.6\,\mathrm{mm}

. A track, a superelevation h, a curve R. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

Gauge G1.435 mSpeed v40 m/sRadius R800 m

Outputs

Equilibrium cant h292.6 mm

Reading speed

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Narration of this film

A track, a superelevation h, a curve R.

Resolve weight and centripetal demand across the gauge G. Design uses a cant deficiency for mixed traffic.

Reading speed

Watch on YouTube