Superelevation in railways Calculator

✖Gauge of Track is the measure of the distance between the inner edges of the rail in a railway track, crucial in general dynamics principles.ⓘ Gauge of Track [G]			+10% -10%
✖Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.ⓘ Velocity [v]			+10% -10%
✖Radius of Circular Path is the distance from the center of a circular path to any point on the circle in general dynamics principles.ⓘ Radius of Circular Path [r]			+10% -10%

✖Superelevation is the elevation or banking of a road or railway curve to reduce the effect of centrifugal force on vehicles.ⓘ Superelevation in railways [S]

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Superelevation in railways Solution

STEP 0: Pre-Calculation Summary

Formula Used

Superelevation = (Gauge of Track*(Velocity^2))/([g]*Radius of Circular Path)
S = (G*(v^2))/([g]*r)
This formula uses 1 Constants, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Superelevation - (Measured in Meter) - Superelevation is the elevation or banking of a road or railway curve to reduce the effect of centrifugal force on vehicles.
Gauge of Track - (Measured in Meter) - Gauge of Track is the measure of the distance between the inner edges of the rail in a railway track, crucial in general dynamics principles.
Velocity - (Measured in Meter per Second) - Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.
Radius of Circular Path - (Measured in Meter) - Radius of Circular Path is the distance from the center of a circular path to any point on the circle in general dynamics principles.

STEP 1: Convert Input(s) to Base Unit

Gauge of Track: 0.2 Meter --> 0.2 Meter No Conversion Required
Velocity: 60 Meter per Second --> 60 Meter per Second No Conversion Required
Radius of Circular Path: 100 Meter --> 100 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = (G*(v^2))/([g]*r) --> (0.2*(60^2))/([g]*100)

Evaluating ... ...

S = 0.734195673344108

STEP 3: Convert Result to Output's Unit

0.734195673344108 Meter --> No Conversion Required

FINAL ANSWER

0.734195673344108 ≈ 0.734196 Meter <-- Superelevation

(Calculation completed in 00.020 seconds)

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Institute of Aeronautical Engineering (IARE), Hyderabad

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< Principal Parameters Calculators

Maximum velocity to avoid overturning of vehicle along level circular path

LaTeX Go Velocity = sqrt(([g]*Radius of Circular Path*Distance between Center Lines of two Wheels)/(2*Gauge of Track))

Force of attraction between two masses separated by distance

LaTeX Go Gravitational Force of Attraction = ([G.]*Mass of First Particle*Mass of Second Particle)/(Distance between two Masses^2)

Superelevation in railways

LaTeX Go Superelevation = (Gauge of Track*(Velocity^2))/([g]*Radius of Circular Path)

Angle of banking

LaTeX Go Angle of Banking = atan((Velocity^2)/([g]*Radius of Circular Path))

Superelevation in railways Formula

LaTeX Go

Superelevation = (Gauge of Track*(Velocity^2))/([g]*Radius of Circular Path)
S = (G*(v^2))/([g]*r)

What is Superelevation?

In case of railways, the outer rail is raised with respect to the inner rail of the track. The amount by which the outer rail is raised is known as superelevation.

How to Calculate Superelevation in railways?

Superelevation in railways calculator uses Superelevation = (Gauge of Track*(Velocity^2))/([g]*Radius of Circular Path) to calculate the Superelevation, Superelevation in railways formula is defined as a measure of the inward transverse inclination provided to the rails on a curve, which helps to balance the centrifugal force and gravity, thereby ensuring smooth and safe movement of trains at higher speeds. Superelevation is denoted by S symbol.

How to calculate Superelevation in railways using this online calculator? To use this online calculator for Superelevation in railways, enter Gauge of Track (G), Velocity (v) & Radius of Circular Path (r) and hit the calculate button. Here is how the Superelevation in railways calculation can be explained with given input values -> 0.734196 = (0.2*(60^2))/([g]*100).

FAQ

What is Superelevation in railways?

Superelevation in railways formula is defined as a measure of the inward transverse inclination provided to the rails on a curve, which helps to balance the centrifugal force and gravity, thereby ensuring smooth and safe movement of trains at higher speeds and is represented as S = (G*(v^2))/([g]*r) or Superelevation = (Gauge of Track*(Velocity^2))/([g]*Radius of Circular Path). Gauge of Track is the measure of the distance between the inner edges of the rail in a railway track, crucial in general dynamics principles, Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time & Radius of Circular Path is the distance from the center of a circular path to any point on the circle in general dynamics principles.

How to calculate Superelevation in railways?

Superelevation in railways formula is defined as a measure of the inward transverse inclination provided to the rails on a curve, which helps to balance the centrifugal force and gravity, thereby ensuring smooth and safe movement of trains at higher speeds is calculated using Superelevation = (Gauge of Track*(Velocity^2))/([g]*Radius of Circular Path). To calculate Superelevation in railways, you need Gauge of Track (G), Velocity (v) & Radius of Circular Path (r). With our tool, you need to enter the respective value for Gauge of Track, Velocity & Radius of Circular Path 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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