Rate of Super Elevation Calculator

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Design of Transition Curves and Setback Distances

✖Velocity is the rate of change of distance of the vehicle with respect to time.ⓘ Velocity [v_vehicle]			+10% -10%
✖Mean Radius of Curve is the mean radius of the horizontal curve of the road.ⓘ Mean Radius of Curve [R_mean]			+10% -10%

✖Rate of Super Elevation is the transverse slope along the width of the road provided by rising the outer edge of the road with respect to the inner edge, throughout the length of the horizontal curve.ⓘ Rate of Super Elevation [e]

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Formula

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Rate of Super Elevation

Formula

`"e" = (0.75*"v"_{"vehicle"}^2)/("[g]"*"R"_{"mean"})`

Example

`"0.17926"=(0.75*("28.23m/s")^2)/("[g]"*"340m")`

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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 transverse slope along the width of the road provided by rising the outer edge of the road with respect to the inner edge, throughout the length of the horizontal curve.
Velocity - (Measured in Meter per Second) - Velocity is the rate of change of distance of the vehicle with respect to time.
Mean Radius of Curve - (Measured in Meter) - Mean Radius of Curve is the mean radius of the horizontal curve 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 00.004 seconds)

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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!

Verified by Kartikay Pandit

National Institute Of Technology (NIT), Hamirpur

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< 12 Design of Superelevation Calculators

Total Widening needed at Horizontal Curve

Go Total Widening Needed at Horizontal Curve = (Number of Lanes*Distance between Front and Rear Wheel^2)/(2*Mean Radius of Curve)+Velocity/(2.64*sqrt(Mean Radius of Curve))

Distance between Front and Rear Wheel

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

Velocity of Vehicle for Ruling Minimum Radius

Go Velocity = sqrt(Ruling Minimum Radius*[g]*(Rate of Super Elevation+Coefficient of Lateral Friction))

Radius of Outer Track Line of Front Wheel

Go Radius of Outer Track Line of Front Wheel = sqrt(Radius of Outer Track Line of Rear Wheel^2+Distance between Front and Rear Wheel^2)

Radius of Outer Track Line of Rear Wheel

Go Radius of Outer Track Line of Rear Wheel = sqrt(Radius of Outer Track Line of Front Wheel^2-Distance between Front and Rear Wheel^2)

Ruling Minimum Radius

Go Ruling Minimum Radius = Velocity^2/([g]*(Rate of Super Elevation+Coefficient of Lateral Friction))

Mechanical Widening needed for Large Radius of Road Curve

Go Mechanical Widening on Horizontal Curves = (Number of Lanes*Distance between Front and Rear Wheel^2)/(2*Mean Radius of Curve)

Number of Lanes in Horizontal Curve

Go Number of Lanes = (2*Mechanical Widening on Horizontal Curves*Mean Radius of Curve)/Distance between Front and Rear Wheel^2

Psychological Widening at Horizontal Curves

Go Psychological Widening at Horizontal Curves = Velocity/(2.64*sqrt(Mean Radius of Curve))

Velocity of Vehicle for Psychological Widening

Go Velocity = 2.64*Psychological Widening at Horizontal Curves*sqrt(Mean Radius of Curve)

Rate of Super Elevation

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

Allowable Speed of Vehicle in Horizontal Curve

Go Allowable Speed = sqrt(0.22*[g]*Mean Radius of Curve)

Rate of Super Elevation Formula

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, 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 (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 -> 0.052175 = (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*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 distance of the vehicle with respect to time & Mean Radius of Curve is the mean radius of the horizontal curve 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 (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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