Railway Cant Calculator

✖Railway Gauge is taken as the distance between the two rails and is represented by a gauge.ⓘ Railway Gauge [G]			+10% -10%
✖Vehicle Velocity can be described as the amount of distance vehicle travelled in a perticular time.ⓘ Vehicle Velocity [V]			+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%

✖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.ⓘ Railway Cant [h]

⎘ Copy

👎

Formula

✖

Railway Cant

Formula

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

Example

`"90.70866cm"="0.90m"*("80km/h")^2/(1.27*"50m")`

Calculator

LaTeX

Reset

👍

Download Transition Curves Surveying Formulas PDF PDF Image

Railway Cant Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Railway Gauge - (Measured in Centimeter) - Railway Gauge is taken as the distance between the two rails and is represented by a gauge.
Vehicle Velocity - (Measured in Kilometer per Hour) - Vehicle Velocity can be described as the amount of distance vehicle travelled in a perticular time.
Radius of Curve - (Measured in Centimeter) - Radius of Curve is the radius of a circle whose part, say, arc is taken for consideration.

STEP 1: Convert Input(s) to Base Unit

Railway Gauge: 0.9 Meter --> 90 Centimeter (Check conversion here)
Vehicle Velocity: 80 Kilometer per Hour --> 80 Kilometer per Hour No Conversion Required
Radius of Curve: 50 Meter --> 5000 Centimeter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = G*V^2/(1.27*R) --> 90*80^2/(1.27*5000)

Evaluating ... ...

h = 90.7086614173228

STEP 3: Convert Result to Output's Unit

0.907086614173228 Meter -->90.7086614173228 Centimeter (Check conversion here)

FINAL ANSWER

90.7086614173228 ≈ 90.70866 Centimeter <-- Cant

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Civil » Surveying Formulas » Transition Curves Surveying » Superelevation » Railway Cant

Credits

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

M Naveen has verified this Calculator and 900+ more calculators!

< 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)

Railway Cant Formula

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

Why is Railway Cant Important?

Railway cant is important because it ensures that trains can safely and efficiently navigate curves at high speeds. Without cant, the train would experience excessive lateral forces that could cause derailment or damage to the track.

What are the Factors that Influence the Radius of Curve given Cant for Road?

The radius of curve given cant for road is influenced by the design speed, the cant, the superelevation rate, the sight distance, and the horizontal and vertical curvature of the road.

How to Calculate Railway Cant?

Railway Cant calculator uses Cant = Railway Gauge*Vehicle Velocity^2/(1.27*Radius of Curve) to calculate the Cant, The Railway Cant, (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. The above equation is valid if the speed is in km/hr, width and radius are in meters and cant is in centimeters. Cant is denoted by h symbol.

How to calculate Railway Cant using this online calculator? To use this online calculator for Railway Cant, enter Railway Gauge (G), Vehicle Velocity (V) & Radius of Curve (R) and hit the calculate button. Here is how the Railway Cant calculation can be explained with given input values -> 12094.49 = 0.9*22.2222222222222^2/(1.27*50).

FAQ

What is Railway Cant?

The Railway Cant, (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. The above equation is valid if the speed is in km/hr, width and radius are in meters and cant is in centimeters and is represented as h = G*V^2/(1.27*R) or Cant = Railway Gauge*Vehicle Velocity^2/(1.27*Radius of Curve). Railway Gauge is taken as the distance between the two rails and is represented by a gauge, Vehicle Velocity can be described as the amount of distance vehicle travelled in a perticular time & Radius of Curve is the radius of a circle whose part, say, arc is taken for consideration.

How to calculate Railway Cant?

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

How many ways are there to calculate Cant?

In this formula, Cant uses Railway Gauge, Vehicle Velocity & Radius of Curve. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search