Pavement Width 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%
✖The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Vehicle Velocity can be described as the amount of distance vehicle travelled in a perticular time.ⓘ Vehicle Velocity [V]			+10% -10%

✖Pavement width is the breadth of the highway pavement.ⓘ Pavement Width given Cant [B]

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Formula

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Pavement Width given Cant

Formula

`"B" = "h"*("R"*"g")/"V"^2`

Example

`"6.999344m"="91.42cm"*("50m"*"9.8m/s²")/("80km/h")^2`

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Pavement Width given Cant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pavement Width = Cant*(Radius of Curve*Acceleration due to Gravity)/Vehicle Velocity^2
B = h*(R*g)/V^2
This formula uses 5 Variables

Variables Used

Pavement Width - (Measured in Centimeter) - Pavement width is the breadth of the highway pavement.
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.
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.
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)
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Vehicle Velocity: 80 Kilometer per Hour --> 80 Kilometer per Hour No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B = h*(R*g)/V^2 --> 91.42*(5000*9.8)/80^2

Evaluating ... ...

B = 699.934375

STEP 3: Convert Result to Output's Unit

6.99934375 Meter --> No Conversion Required

FINAL ANSWER

6.99934375 ≈ 6.999344 Meter <-- Pavement Width

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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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)

Pavement Width given Cant Formula

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

What is Cant Deficiency?

According to the equation of super elevation, if the speed is more than the design speed, the value of cant will be more (width and radius remaining constant) and if the speed is less than the design speed, the value of cant will be less. This excess or shortage of cant over the equilibrium cant (at design speed) is called cant deficiency of the track.

How to Calculate Pavement Width given Cant?

Pavement Width given Cant calculator uses Pavement Width = Cant*(Radius of Curve*Acceleration due to Gravity)/Vehicle Velocity^2 to calculate the Pavement Width, Pavement Width given Cant is width of road pavement if super elevation of road is already decided. Pavement Width is denoted by B symbol.

How to calculate Pavement Width given Cant using this online calculator? To use this online calculator for Pavement Width given Cant, enter Cant (h), Radius of Curve (R), Acceleration due to Gravity (g) & Vehicle Velocity (V) and hit the calculate button. Here is how the Pavement Width given Cant calculation can be explained with given input values -> 6.999344 = 0.9142*(50*9.8)/22.2222222222222^2.

FAQ

What is Pavement Width given Cant?

Pavement Width given Cant is width of road pavement if super elevation of road is already decided and is represented as B = h*(R*g)/V^2 or Pavement Width = Cant*(Radius of Curve*Acceleration due to Gravity)/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, The Acceleration due to Gravity is acceleration gained by an object because of gravitational force & Vehicle Velocity can be described as the amount of distance vehicle travelled in a perticular time.

How to calculate Pavement Width given Cant?

Pavement Width given Cant is width of road pavement if super elevation of road is already decided is calculated using Pavement Width = Cant*(Radius of Curve*Acceleration due to Gravity)/Vehicle Velocity^2. To calculate Pavement Width given Cant, you need Cant (h), Radius of Curve (R), Acceleration due to Gravity (g) & Vehicle Velocity (V). With our tool, you need to enter the respective value for Cant, Radius of Curve, Acceleration due to Gravity & 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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