Length of Transition Curve based on Arbitrary Gradient 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]

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✖Length of Curve based on Arbitrary Gradient is the length of the transition curve for turning calculated based on arbitrary gradient.ⓘ Length of Transition Curve based on Arbitrary Gradient [L_AG]

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Formula

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Length of Transition Curve based on Arbitrary Gradient

Formula

`"L"_{"AG"} = 7.20*"e"_{"Vmax"}*100`

Example

`"86.4m"=7.20*"12cm"*100`

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Length of Transition Curve based on Arbitrary Gradient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Curve based on Arbitrary Gradient = 7.20*Equilibrium Cant for Max Speed*100
L_AG = 7.20*e_Vmax*100
This formula uses 2 Variables

Variables Used

Length of Curve based on Arbitrary Gradient - (Measured in Meter) - Length of Curve based on Arbitrary Gradient is the length of the transition curve for turning calculated based on arbitrary gradient.
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.

STEP 1: Convert Input(s) to Base Unit

Equilibrium Cant for Max Speed: 12 Centimeter --> 0.12 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_AG = 7.20*e_Vmax*100 --> 7.20*0.12*100

Evaluating ... ...

L_AG = 86.4

STEP 3: Convert Result to Output's Unit

86.4 Meter --> No Conversion Required

FINAL ANSWER

86.4 Meter <-- Length of Curve based on Arbitrary Gradient

(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 Arbitrary Gradient Formula

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

Length of the transition carve based on Arbitrary gradient

The Length of the transition carve based on arbitrary gradient is defined as the total length of the transitional curve for turning which is calculated based on arbitrary gradient. 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 Arbitrary Gradient?

Length of Transition Curve based on Arbitrary Gradient calculator uses Length of Curve based on Arbitrary Gradient = 7.20*Equilibrium Cant for Max Speed*100 to calculate the Length of Curve based on Arbitrary Gradient, Length of Transition Curve based on Arbitrary Gradient is defined as the total length of the transitional curve for turning which is calculated based on arbitrary gradient. Conversion factor cm to m is added. Length of Curve based on Arbitrary Gradient is denoted by L_AG symbol.

How to calculate Length of Transition Curve based on Arbitrary Gradient using this online calculator? To use this online calculator for Length of Transition Curve based on Arbitrary Gradient, enter Equilibrium Cant for Max Speed (e_Vmax) and hit the calculate button. Here is how the Length of Transition Curve based on Arbitrary Gradient calculation can be explained with given input values -> 86.4 = 7.20*0.12*100.

FAQ

What is Length of Transition Curve based on Arbitrary Gradient?

Length of Transition Curve based on Arbitrary Gradient is defined as the total length of the transitional curve for turning which is calculated based on arbitrary gradient. Conversion factor cm to m is added and is represented as L_AG = 7.20*e_Vmax*100 or Length of Curve based on Arbitrary Gradient = 7.20*Equilibrium Cant for Max Speed*100. Equilibrium Cant for Max Speed is the difference between the height of the outer rail and the inner rail on a curve.

How to calculate Length of Transition Curve based on Arbitrary Gradient?

Length of Transition Curve based on Arbitrary Gradient is defined as the total length of the transitional curve for turning which is calculated based on arbitrary gradient. Conversion factor cm to m is added is calculated using Length of Curve based on Arbitrary Gradient = 7.20*Equilibrium Cant for Max Speed*100. To calculate Length of Transition Curve based on Arbitrary Gradient, you need Equilibrium Cant for Max Speed (e_Vmax). With our tool, you need to enter the respective value for Equilibrium Cant for Max Speed 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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