Rate of Super Elevation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Rate of Super Elevation = (0.75*Velocity^2)/([g]*Mean Radius of Curve)
e = (0.75*vvehicle^2)/([g]*Rmean)
This formula uses 1 Constants, 3 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Rate of Super Elevation - Rate of Super Elevation is the rate at which the outer rail is raised above the inner rail in a curve to balance centrifugal force.
Velocity - (Measured in Meter per Second) - Velocity is the rate of change of an object's position with respect to time, used in superelevation design to ensure safe and efficient traffic flow.
Mean Radius of Curve - (Measured in Meter) - Mean Radius of Curve is the average radius of a curve section in road design, used to calculate superelevation and widening of the road.
STEP 1: Convert Input(s) to Base Unit
Velocity: 28.23 Meter per Second --> 28.23 Meter per Second No Conversion Required
Mean Radius of Curve: 340 Meter --> 340 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
e = (0.75*vvehicle^2)/([g]*Rmean) --> (0.75*28.23^2)/([g]*340)
Evaluating ... ...
e = 0.179260014437982
STEP 3: Convert Result to Output's Unit
0.179260014437982 --> No Conversion Required
FINAL ANSWER
0.179260014437982 0.17926 <-- Rate of Super Elevation
(Calculation completed in 00.004 seconds)

Credits

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Created by Avayjit Das
University of Engineering and Management,Kolkata (UEMK), Kolkata
Avayjit Das has created this Calculator and 25+ more calculators!
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Verified by Kartikay Pandit
National Institute Of Technology (NIT), Hamirpur
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Design of Superelevation Calculators

Distance between Front and Rear Wheel
​ LaTeX ​ Go Distance between Front and Rear Wheel = 2*Radius of Outer Track Line of Front Wheel*Mechanical Widening on Horizontal Curves-Mechanical Widening on Horizontal Curves^2
Ruling Minimum Radius
​ LaTeX ​ Go Ruling Minimum Radius = Velocity^2/([g]*(Rate of Super Elevation+Coefficient of Lateral Friction))
Mechanical Widening needed for Large Radius of Road Curve
​ LaTeX ​ Go Mechanical Widening on Horizontal Curves = (Number of Lanes*Distance between Front and Rear Wheel^2)/(2*Mean Radius of Curve)
Psychological Widening at Horizontal Curves
​ LaTeX ​ Go Psychological Widening at Horizontal Curves = Velocity/(2.64*sqrt(Mean Radius of Curve))

Rate of Super Elevation Formula

​LaTeX ​Go
Rate of Super Elevation = (0.75*Velocity^2)/([g]*Mean Radius of Curve)
e = (0.75*vvehicle^2)/([g]*Rmean)

What is Super Elevation?

The amount by which the outer edge of a curve on a road or railway is banked above the inner edge is known as Super-elevation.

How to Calculate Rate of Super Elevation?

Rate of Super Elevation calculator uses Rate of Super Elevation = (0.75*Velocity^2)/([g]*Mean Radius of Curve) to calculate the Rate of Super Elevation, The Rate of Super Elevation formula is defined as the banking of a roadway to offset the effect of centripetal acceleration. Rate of Super Elevation is denoted by e symbol.

How to calculate Rate of Super Elevation using this online calculator? To use this online calculator for Rate of Super Elevation, enter Velocity (vvehicle) & Mean Radius of Curve (Rmean) and hit the calculate button. Here is how the Rate of Super Elevation calculation can be explained with given input values -> 0.17926 = (0.75*28.23^2)/([g]*340).

FAQ

What is Rate of Super Elevation?
The Rate of Super Elevation formula is defined as the banking of a roadway to offset the effect of centripetal acceleration and is represented as e = (0.75*vvehicle^2)/([g]*Rmean) or Rate of Super Elevation = (0.75*Velocity^2)/([g]*Mean Radius of Curve). Velocity is the rate of change of an object's position with respect to time, used in superelevation design to ensure safe and efficient traffic flow & Mean Radius of Curve is the average radius of a curve section in road design, used to calculate superelevation and widening of the road.
How to calculate Rate of Super Elevation?
The Rate of Super Elevation formula is defined as the banking of a roadway to offset the effect of centripetal acceleration is calculated using Rate of Super Elevation = (0.75*Velocity^2)/([g]*Mean Radius of Curve). To calculate Rate of Super Elevation, you need Velocity (vvehicle) & Mean Radius of Curve (Rmean). With our tool, you need to enter the respective value for Velocity & Mean Radius of Curve 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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