Length of Transition Curve based on Rate of change of Super Elevation Calculator

✖Equilibrium Cant for Max Speed is the difference between the height of the outer rail and the inner rail on a curve.ⓘ Equilibrium Cant for Max Speed [e_Vmax]			+10% -10%
✖Maximum Speed of Train on Curve is the maximum permissible speed designed for the train to move on the curve.ⓘ Maximum Speed of Train on Curve [V_Max]			+10% -10%

✖Length of Curve based on Change of superelevation is the total length of transition curve for turning which is calculated using rate of change of super elevation.ⓘ Length of Transition Curve based on Rate of change of Super Elevation [L_SE]

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Length of Transition Curve based on Rate of change of Super Elevation

Formula

`"L"_{"SE"} = 0.073*"e"_{"Vmax"}*"V"_{"Max"}*100`

Example

`"74.46m"=0.073*"12cm"*"85km/h"*100`

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Length of Transition Curve based on Rate of change of Super Elevation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Curve based on Change of superelevation = 0.073*Equilibrium Cant for Max Speed*Maximum Speed of Train on Curve*100
L_SE = 0.073*e_Vmax*V_Max*100
This formula uses 3 Variables

Variables Used

Length of Curve based on Change of superelevation - (Measured in Meter) - Length of Curve based on Change of superelevation is the total length of transition curve for turning which is calculated using rate of change of super elevation.
Equilibrium Cant for Max Speed - (Measured in Meter) - Equilibrium Cant for Max Speed is the difference between the height of the outer rail and the inner rail on a curve.
Maximum Speed of Train on Curve - (Measured in Kilometer per Hour) - Maximum Speed of Train on Curve is the maximum permissible speed designed for the train to move on the curve.

STEP 1: Convert Input(s) to Base Unit

Equilibrium Cant for Max Speed: 12 Centimeter --> 0.12 Meter (Check conversion here)
Maximum Speed of Train on Curve: 85 Kilometer per Hour --> 85 Kilometer per Hour No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_SE = 0.073*e_Vmax*V_Max*100 --> 0.073*0.12*85*100

Evaluating ... ...

L_SE = 74.46

STEP 3: Convert Result to Output's Unit

74.46 Meter --> No Conversion Required

FINAL ANSWER

74.46 Meter <-- Length of Curve based on Change of superelevation

(Calculation completed in 00.004 seconds)

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Created by Adnan H Kotawala

R V College of Engineering (RVCE), Bangalore

Adnan H Kotawala has created this Calculator and 25+ more calculators!

Verified by Rachana B V

The National Institute of Engineering (NIE), Mysuru

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< 10+ Transition Curve Calculators

Speeds from Length of Transition Curves for Normal Speeds

Go Speeds from Length of Curve for Normal Speeds = 134*Length of Transition Curve in meters/(Super Elevation for Transition Curve*1000)

Speeds from Length of Transition Curves for High Speeds

Go Speeds from Length of Curve for High Speeds = 198*Length of Transition Curve in meters/(Super Elevation for Transition Curve*1000)

Length of Transition Curve based on Rate of change of Super Elevation

Go Length of Curve based on Change of superelevation = 0.073*Equilibrium Cant for Max Speed*Maximum Speed of Train on Curve*100

Length of Transition Curve based on rate of change of Cant Deficiency

Go Length of Curve based on Cant Deficiency Rate = 0.073*Cant Deficiency*Maximum Speed of Train on Curve*100

Safe Speed on Transitioned Curves for BG or MG

Go Safe Speed on Transitioned Curves for B.G/M.G = 4.4*0.278*(Radius of Transition Curve-70)^0.5

Safe Speed on Transitioned Curves for NG

Go Safe Speed on Transitioned Curves for N.G = 3.65*0.278*(Radius of Transition Curve-6)^0.5

Length of Transition Curve based on Arbitrary Gradient

Go Length of Curve based on Arbitrary Gradient = 7.20*Equilibrium Cant for Max Speed*100

Radius of Transition Curve for BG or MG

Go Radius of Transition Curve = (Safe Speed on Transitioned Curves for B.G/M.G/4.4)^2+70

Radius of Transition Curve for NG

Go Radius of Transition Curve = (Safe Speed on Transitioned Curves for N.G/3.65)^2+6

Length of Transition Curve as per Railway Code

Go Length of Curve based on Railway Code = 4.4*Radius of Curve^0.5

Length of Transition Curve based on Rate of change of Super Elevation Formula

Length of Curve based on Change of superelevation = 0.073*Equilibrium Cant for Max Speed*Maximum Speed of Train on Curve*100
L_SE = 0.073*e_Vmax*V_Max*100

Length of transition curve based on rate of change of super elevation

The length of the transition curve based on rate of change of super elevation is defined as the total length of transition curve for turning which is calculated using rate of change of super elevation. The length of the transition curve is length along the centre line of the track from its meeting point with the straight to that with the circular curve.

How to Calculate Length of Transition Curve based on Rate of change of Super Elevation?

Length of Transition Curve based on Rate of change of Super Elevation calculator uses Length of Curve based on Change of superelevation = 0.073*Equilibrium Cant for Max Speed*Maximum Speed of Train on Curve*100 to calculate the Length of Curve based on Change of superelevation, Length of Transition Curve based on Rate of change of Super Elevation is defined as the total length of transition curve for turning which is calculated using rate of change of super elevation. Length of Curve based on Change of superelevation is denoted by L_SE symbol.

How to calculate Length of Transition Curve based on Rate of change of Super Elevation using this online calculator? To use this online calculator for Length of Transition Curve based on Rate of change of Super Elevation, enter Equilibrium Cant for Max Speed (e_Vmax) & Maximum Speed of Train on Curve (V_Max) and hit the calculate button. Here is how the Length of Transition Curve based on Rate of change of Super Elevation calculation can be explained with given input values -> 74.46 = 0.073*0.12*23.6111111111111*100.

FAQ

What is Length of Transition Curve based on Rate of change of Super Elevation?

Length of Transition Curve based on Rate of change of Super Elevation is defined as the total length of transition curve for turning which is calculated using rate of change of super elevation and is represented as L_SE = 0.073*e_Vmax*V_Max*100 or Length of Curve based on Change of superelevation = 0.073*Equilibrium Cant for Max Speed*Maximum Speed of Train on Curve*100. Equilibrium Cant for Max Speed is the difference between the height of the outer rail and the inner rail on a curve & Maximum Speed of Train on Curve is the maximum permissible speed designed for the train to move on the curve.

How to calculate Length of Transition Curve based on Rate of change of Super Elevation?

Length of Transition Curve based on Rate of change of Super Elevation is defined as the total length of transition curve for turning which is calculated using rate of change of super elevation is calculated using Length of Curve based on Change of superelevation = 0.073*Equilibrium Cant for Max Speed*Maximum Speed of Train on Curve*100. To calculate Length of Transition Curve based on Rate of change of Super Elevation, you need Equilibrium Cant for Max Speed (e_Vmax) & Maximum Speed of Train on Curve (V_Max). With our tool, you need to enter the respective value for Equilibrium Cant for Max Speed & Maximum Speed of Train on 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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