Cant given Width of Pavement Calculator

✖Pavement width is the breadth of the highway pavement.ⓘ Pavement Width [B]			+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%
✖The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+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.ⓘ Cant given Width of Pavement [h]

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Cant given Width of Pavement Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cant = Pavement Width*Vehicle Velocity^2/(Radius of Curve*Acceleration due to Gravity)
h = B*V^2/(R*g)
This formula uses 5 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.
Pavement Width - (Measured in Centimeter) - Pavement width is the breadth of the highway pavement.
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.
Acceleration due to Gravity - (Measured in Meter per Square Second) - The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

STEP 1: Convert Input(s) to Base Unit

Pavement Width: 6.9 Meter --> 690 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)
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = B*V^2/(R*g) --> 690*80^2/(5000*9.8)

Evaluating ... ...

h = 90.1224489795918

STEP 3: Convert Result to Output's Unit

0.901224489795918 Meter -->90.1224489795918 Centimeter (Check conversion here)

FINAL ANSWER

90.1224489795918 ≈ 90.12245 Centimeter <-- Cant

(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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< Superelevation Calculators

Radius of Curve given Cant for Road

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

Cant given Width of Pavement

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

Gauge Width of Track given Cant

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

Railway Cant

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

Cant given Width of Pavement Formula

LaTeX Go

Cant = Pavement Width*Vehicle Velocity^2/(Radius of Curve*Acceleration due to Gravity)
h = B*V^2/(R*g)

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 Cant given Width of Pavement?

Cant given Width of Pavement calculator uses Cant = Pavement Width*Vehicle Velocity^2/(Radius of Curve*Acceleration due to Gravity) to calculate the Cant, The Cant given Width of Pavement formula is defined as superelevation, cross slope or cross fall, rate of change in elevation (height) between two rails or edges. Cant is denoted by h symbol.

How to calculate Cant given Width of Pavement using this online calculator? To use this online calculator for Cant given Width of Pavement, enter Pavement Width (B), Vehicle Velocity (V), Radius of Curve (R) & Acceleration due to Gravity (g) and hit the calculate button. Here is how the Cant given Width of Pavement calculation can be explained with given input values -> 9012.245 = 6.9*22.2222222222222^2/(50*9.8).

FAQ

What is Cant given Width of Pavement?

The Cant given Width of Pavement formula is defined as superelevation, cross slope or cross fall, rate of change in elevation (height) between two rails or edges and is represented as h = B*V^2/(R*g) or Cant = Pavement Width*Vehicle Velocity^2/(Radius of Curve*Acceleration due to Gravity). Pavement width is the breadth of the highway pavement, 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 & The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

How to calculate Cant given Width of Pavement?

The Cant given Width of Pavement formula is defined as superelevation, cross slope or cross fall, rate of change in elevation (height) between two rails or edges is calculated using Cant = Pavement Width*Vehicle Velocity^2/(Radius of Curve*Acceleration due to Gravity). To calculate Cant given Width of Pavement, you need Pavement Width (B), Vehicle Velocity (V), Radius of Curve (R) & Acceleration due to Gravity (g). With our tool, you need to enter the respective value for Pavement Width, Vehicle Velocity, Radius of Curve & Acceleration due to Gravity 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 Pavement Width, Vehicle Velocity, Radius of Curve & Acceleration due to Gravity. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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