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Rate of Super Elevation Calculator

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✖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.ⓘ Velocity [v_vehicle]			+10% -10%
✖Mean Radius of Curve is the average radius of a curve section in road design, used to calculate superelevation and widening of the road.ⓘ Mean Radius of Curve [R_mean]			+10% -10%

✖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.ⓘ Rate of Super Elevation [e]

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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*v_vehicle^2)/([g]*R_mean)
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*v_vehicle^2)/([g]*R_mean) --> (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 00.020 seconds)

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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*v_vehicle^2)/([g]*R_mean)

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, Rate of Super Elevation formula is defined as a measure of the banking angle of a roadway, which helps vehicles navigate curves safely by counteracting lateral acceleration. It ensures stability and comfort during transportation on curved paths. 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 (v_vehicle) & Mean Radius of Curve (R_mean) 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?

Rate of Super Elevation formula is defined as a measure of the banking angle of a roadway, which helps vehicles navigate curves safely by counteracting lateral acceleration. It ensures stability and comfort during transportation on curved paths and is represented as e = (0.75*v_vehicle^2)/([g]*R_mean) 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?

Rate of Super Elevation formula is defined as a measure of the banking angle of a roadway, which helps vehicles navigate curves safely by counteracting lateral acceleration. It ensures stability and comfort during transportation on curved paths 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 (v_vehicle) & Mean Radius of Curve (R_mean). 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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