Gauge Width of Track given Cant Calculator

✖Cant of a railway track or camber of a road (also referred to as super elevation, cross slope or cross fall) is the rate of change in elevation (height) between the two rails or edges.ⓘ Cant [h]			+10% -10%
✖Radius of Curve is the radius of a circle whose part, say, arc is taken for consideration.ⓘ Radius of Curve [R]			+10% -10%
✖Vehicle Velocity can be described as the amount of distance vehicle travelled in a perticular time.ⓘ Vehicle Velocity [V]			+10% -10%

✖Railway Gauge is taken as the distance between the two rails and is represented by a gauge.ⓘ Gauge Width of Track given Cant [G]

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Formula

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Gauge Width of Track given Cant

Formula

`"G" = ("h"*1.27*"R")/"V"^2`

Example

`"0.907058m"=("91.42cm"*1.27*"50m")/("80km/h")^2`

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Gauge Width of Track given Cant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Railway Gauge = (Cant*1.27*Radius of Curve)/Vehicle Velocity^2
G = (h*1.27*R)/V^2
This formula uses 4 Variables

Variables Used

Railway Gauge - (Measured in Centimeter) - Railway Gauge is taken as the distance between the two rails and is represented by a gauge.
Cant - (Measured in Centimeter) - Cant of a railway track or camber of a road (also referred to as super elevation, cross slope or cross fall) is the rate of change in elevation (height) between the two rails or edges.
Radius of Curve - (Measured in Centimeter) - Radius of Curve is the radius of a circle whose part, say, arc is taken for consideration.
Vehicle Velocity - (Measured in Kilometer per Hour) - Vehicle Velocity can be described as the amount of distance vehicle travelled in a perticular time.

STEP 1: Convert Input(s) to Base Unit

Cant: 91.42 Centimeter --> 91.42 Centimeter No Conversion Required
Radius of Curve: 50 Meter --> 5000 Centimeter (Check conversion here)
Vehicle Velocity: 80 Kilometer per Hour --> 80 Kilometer per Hour No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G = (h*1.27*R)/V^2 --> (91.42*1.27*5000)/80^2

Evaluating ... ...

G = 90.70578125

STEP 3: Convert Result to Output's Unit

0.9070578125 Meter --> No Conversion Required

FINAL ANSWER

0.9070578125 ≈ 0.907058 Meter <-- Railway Gauge

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

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< 5 Superelevation Calculators

Radius of Curve given Cant for Road

Go Radius of Curve = Pavement Width*Vehicle Velocity^2/(Cant*Acceleration due to Gravity)

Cant given Width of Pavement

Go Cant = Pavement Width*Vehicle Velocity^2/(Radius of Curve*Acceleration due to Gravity)

Pavement Width given Cant

Go Pavement Width = Cant*(Radius of Curve*Acceleration due to Gravity)/Vehicle Velocity^2

Gauge Width of Track given Cant

Go Railway Gauge = (Cant*1.27*Radius of Curve)/Vehicle Velocity^2

Railway Cant

Go Cant = Railway Gauge*Vehicle Velocity^2/(1.27*Radius of Curve)

Gauge Width of Track given Cant Formula

Railway Gauge = (Cant*1.27*Radius of Curve)/Vehicle Velocity^2
G = (h*1.27*R)/V^2

What is Equilibrium Cant?

In the case of railways, if the super elevation is provided as is given by the super elevation equation, the load distributed on the two rails will be equal, consequently the springs of the train will be equally compressed, and it will be in a state of balance or equilibrium. Such a cant is called equilibrium cant.

How to Calculate Gauge Width of Track given Cant?

Gauge Width of Track given Cant calculator uses Railway Gauge = (Cant*1.27*Radius of Curve)/Vehicle Velocity^2 to calculate the Railway Gauge, The Gauge Width of Track given Cant formula is defined as the distance between two rails, above equation is valid if speed is in km/hr, width and radius are in meters and cant is in centimetres. Railway Gauge is denoted by G symbol.

How to calculate Gauge Width of Track given Cant using this online calculator? To use this online calculator for Gauge Width of Track given Cant, enter Cant (h), Radius of Curve (R) & Vehicle Velocity (V) and hit the calculate button. Here is how the Gauge Width of Track given Cant calculation can be explained with given input values -> 0.907058 = (0.9142*1.27*50)/22.2222222222222^2.

FAQ

What is Gauge Width of Track given Cant?

The Gauge Width of Track given Cant formula is defined as the distance between two rails, above equation is valid if speed is in km/hr, width and radius are in meters and cant is in centimetres and is represented as G = (h*1.27*R)/V^2 or Railway Gauge = (Cant*1.27*Radius of Curve)/Vehicle Velocity^2. Cant of a railway track or camber of a road (also referred to as super elevation, cross slope or cross fall) is the rate of change in elevation (height) between the two rails or edges, Radius of Curve is the radius of a circle whose part, say, arc is taken for consideration & Vehicle Velocity can be described as the amount of distance vehicle travelled in a perticular time.

How to calculate Gauge Width of Track given Cant?

The Gauge Width of Track given Cant formula is defined as the distance between two rails, above equation is valid if speed is in km/hr, width and radius are in meters and cant is in centimetres is calculated using Railway Gauge = (Cant*1.27*Radius of Curve)/Vehicle Velocity^2. To calculate Gauge Width of Track given Cant, you need Cant (h), Radius of Curve (R) & Vehicle Velocity (V). With our tool, you need to enter the respective value for Cant, Radius of Curve & Vehicle Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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