Radius of Curve given Cant for Road 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%
✖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%
✖The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%

✖Radius of Curve is the radius of a circle whose part, say, arc is taken for consideration.ⓘ Radius of Curve given Cant for Road [R]

⎘ Copy

👎

Formula

✖

Radius of Curve given Cant for Road

Formula

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

Example

`"49.29034m"="6.9m"*("80km/h")^2/("91.42cm"*"9.8m/s²")`

Calculator

LaTeX

Reset

👍

Download Transition Curves Surveying Formulas PDF

Radius of Curve given Cant for Road Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Radius of Curve - (Measured in Centimeter) - Radius of Curve is the radius of a circle whose part, say, arc is taken for consideration.
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.
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.
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
Cant: 91.42 Centimeter --> 91.42 Centimeter No Conversion Required
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

R = B*V^2/(h*g) --> 690*80^2/(91.42*9.8)

Evaluating ... ...

R = 4929.03352546444

STEP 3: Convert Result to Output's Unit

49.2903352546444 Meter --> No Conversion Required

FINAL ANSWER

49.2903352546444 ≈ 49.29034 Meter <-- Radius of Curve

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Civil » Surveying Formulas » Transition Curves Surveying » Superelevation » Radius of Curve given Cant for Road

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)

Radius of Curve given Cant for Road Formula

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

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.

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 Radius of Curve given Cant for Road?

Radius of Curve given Cant for Road calculator uses Radius of Curve = Pavement Width*Vehicle Velocity^2/(Cant*Acceleration due to Gravity) to calculate the Radius of Curve, Radius of Curve given Cant for Road is radius of imaginary circle whose part is used as transition curve in road. Here radius, cant and width are in meters and acceleration is in m/s^2. Radius of Curve is denoted by R symbol.

How to calculate Radius of Curve given Cant for Road using this online calculator? To use this online calculator for Radius of Curve given Cant for Road, enter Pavement Width (B), Vehicle Velocity (V), Cant (h) & Acceleration due to Gravity (g) and hit the calculate button. Here is how the Radius of Curve given Cant for Road calculation can be explained with given input values -> 49.29034 = 6.9*22.2222222222222^2/(0.9142*9.8).

FAQ

What is Radius of Curve given Cant for Road?

Radius of Curve given Cant for Road is radius of imaginary circle whose part is used as transition curve in road. Here radius, cant and width are in meters and acceleration is in m/s^2 and is represented as R = B*V^2/(h*g) or Radius of Curve = Pavement Width*Vehicle Velocity^2/(Cant*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, 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 & The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

How to calculate Radius of Curve given Cant for Road?

Radius of Curve given Cant for Road is radius of imaginary circle whose part is used as transition curve in road. Here radius, cant and width are in meters and acceleration is in m/s^2 is calculated using Radius of Curve = Pavement Width*Vehicle Velocity^2/(Cant*Acceleration due to Gravity). To calculate Radius of Curve given Cant for Road, you need Pavement Width (B), Vehicle Velocity (V), Cant (h) & Acceleration due to Gravity (g). With our tool, you need to enter the respective value for Pavement Width, Vehicle Velocity, Cant & 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.

Home

FREE PDFs

🔍 Search