Design Speed of Railway Calculator

✖Curve Radius is the radius of a circle whose part, say, arc is taken for consideration.ⓘ Curve Radius [R_Curve]			+10% -10%
✖The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%

✖Design Speed on Railways is the maximum limit of train speed that can be achieved for a safe ride through tracks.ⓘ Design Speed of Railway [v₂]

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Design Speed of Railway Solution

STEP 0: Pre-Calculation Summary

Formula Used

Design Speed on Railways = sqrt(Curve Radius*Acceleration due to Gravity/8)
v₂ = sqrt(R_Curve*g/8)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Design Speed on Railways - (Measured in Kilometer per Hour) - Design Speed on Railways is the maximum limit of train speed that can be achieved for a safe ride through tracks.
Curve Radius - (Measured in Meter) - Curve Radius is the radius of a circle whose part, say, arc is taken for consideration.
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

Curve Radius: 200 Meter --> 200 Meter 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

v₂ = sqrt(R_Curve*g/8) --> sqrt(200*9.8/8)

Evaluating ... ...

v₂ = 15.6524758424985

STEP 3: Convert Result to Output's Unit

4.34790995624959 Meter per Second --> No Conversion Required

FINAL ANSWER

4.34790995624959 ≈ 4.34791 Meter per Second <-- Design Speed on Railways

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

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National Institute of Technology (NIT), Warangal

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< Centrifugal Ratio Calculators

Speed of Vehicle given Centrifugal Force

LaTeX Go Vehicle Velocity = sqrt(Centrifugal Force*Acceleration due to Gravity*Curve Radius/Weight of Vehicle)

Radius of Curve given Centrifugal Force

LaTeX Go Curve Radius = (Weight of Vehicle*Vehicle Velocity^2)/(Acceleration due to Gravity*Centrifugal Force)

Centrifugal Force Acting on Vehicle

LaTeX Go Centrifugal Force = (Weight of Vehicle*Vehicle Velocity^2)/(Acceleration due to Gravity*Curve Radius)

Centrifugal Ratio

LaTeX Go Centrifugal Ratio = Vehicle Velocity^2/(Curve Radius*Acceleration due to Gravity)

Design Speed of Railway Formula

LaTeX Go

Design Speed on Railways = sqrt(Curve Radius*Acceleration due to Gravity/8)
v₂ = sqrt(R_Curve*g/8)

What is a Transition Curve?

For high-speed traffics over alignment on which the curves are circular arcs, an abrupt change from a straight path to a circular path is required at the point of curvature. It is obviously impossible to make this change instantaneously. A curve of varying radius and varying curvature, introduced between the tangent length and a circular curve or between two branches of a compound curve, or a reverse curve to provide such a transition is known as a transition or an easement curve.

What are the Advantages of Transition Curve?

1. It allows a gradual transition of curvature from the tangent to the circular curve or from the circular curve to the tangent.
2. The radius of curvature increases or decreases gradually.
3. It is provided for the gradual change in super elevation in a convenient manner.
4. It eliminates the danger of derailment, overturning or side slipping of vehicles, and discomfort to passengers.

How to Calculate Design Speed of Railway?

Design Speed of Railway calculator uses Design Speed on Railways = sqrt(Curve Radius*Acceleration due to Gravity/8) to calculate the Design Speed on Railways, The Design Speed of Railway formula is defined as the geometric factor which is used for the railway design. It is defined as the highest continuous speed at which an individual train can travel safety on a railway when weather conditions are conducive. Design Speed on Railways is denoted by v₂ symbol.

How to calculate Design Speed of Railway using this online calculator? To use this online calculator for Design Speed of Railway, enter Curve Radius (R_Curve) & Acceleration due to Gravity (g) and hit the calculate button. Here is how the Design Speed of Railway calculation can be explained with given input values -> 4.34791 = sqrt(200*9.8/8).

FAQ

What is Design Speed of Railway?

The Design Speed of Railway formula is defined as the geometric factor which is used for the railway design. It is defined as the highest continuous speed at which an individual train can travel safety on a railway when weather conditions are conducive and is represented as v₂ = sqrt(R_Curve*g/8) or Design Speed on Railways = sqrt(Curve Radius*Acceleration due to Gravity/8). Curve Radius is the radius of a circle whose part, say, arc is taken for consideration & The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

How to calculate Design Speed of Railway?

The Design Speed of Railway formula is defined as the geometric factor which is used for the railway design. It is defined as the highest continuous speed at which an individual train can travel safety on a railway when weather conditions are conducive is calculated using Design Speed on Railways = sqrt(Curve Radius*Acceleration due to Gravity/8). To calculate Design Speed of Railway, you need Curve Radius (R_Curve) & Acceleration due to Gravity (g). With our tool, you need to enter the respective value for Curve Radius & 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.

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