Length when Comfort Condition Holds Good for Railways Calculator

✖Transition Curve Length should be such that full super elevation is attained at the end of the transition curve and applied at a suitable rate.ⓘ Length when Comfort Condition Holds Good for Railways [L_a]

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Length when Comfort Condition Holds Good for Railways

Formula

`"L"_{"a"} = 4.52*sqrt("R"_{"Curve"})`

Example

`"63.92245m"=4.52*sqrt("200m")`

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Length when Comfort Condition Holds Good for Railways Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transition Curve Length = 4.52*sqrt(Curve Radius)
L_a = 4.52*sqrt(R_Curve)
This formula uses 1 Functions, 2 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

Transition Curve Length - (Measured in Meter) - Transition Curve Length should be such that full super elevation is attained at the end of the transition curve and applied at a suitable rate.
Curve Radius - (Measured in Meter) - Curve Radius is the radius of a circle whose part, say, arc is taken for consideration.

STEP 1: Convert Input(s) to Base Unit

Curve Radius: 200 Meter --> 200 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_a = 4.52*sqrt(R_Curve) --> 4.52*sqrt(200)

Evaluating ... ...

L_a = 63.9224530192639

STEP 3: Convert Result to Output's Unit

63.9224530192639 Meter --> No Conversion Required

FINAL ANSWER

63.9224530192639 ≈ 63.92245 Meter <-- Transition Curve Length

(Calculation completed in 00.020 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!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

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< 10+ Length of Transition Curve Calculators

Length given Angle of Super Elevation

Go Transition Curve Length = (Acceleration due to Gravity*tan(Super Elevation Angle))^1.5*sqrt(Curve Radius)/Rate of Radial Acceleration

Length of Transition Curve given Time Rate

Go Transition Curve Length = Railway Gauge*Vehicle Velocity^3/(Super Elevation Time Rate*Acceleration due to Gravity*Curve Radius)

Time Rate given Length of Transition Curve

Go Super Elevation Time Rate = Railway Gauge*Vehicle Velocity^3/(Transition Curve Length*Acceleration due to Gravity*Curve Radius)

Hands-Off Velocity

Go Hands off Velocity = sqrt(Acceleration due to Gravity*Radius of Curve*tan(Angle of Super Elevation))

Rate of Change of Radial Acceleration

Go Rate of Radial Acceleration = (Vehicle Velocity^2/(Curve Radius*Time taken to Travel))

Time Taken given Radial Acceleration

Go Time taken to Travel = (Vehicle Velocity^2/(Curve Radius*Rate of Radial Acceleration))

Length of Transition Curve given Shift

Go Transition Curve Length = sqrt(Shift*24*Curve Radius)

Shift of Curve

Go Shift = Transition Curve Length^2/(24*Curve Radius)

Length when Comfort Condition Holds Good for Highways

Go Transition Curve Length = 12.80*sqrt(Curve Radius)

Length when Comfort Condition Holds Good for Railways

Go Transition Curve Length = 4.52*sqrt(Curve Radius)

Length when Comfort Condition Holds Good for Railways Formula

Transition Curve Length = 4.52*sqrt(Curve Radius)
L_a = 4.52*sqrt(R_Curve)

What are some Challenges that can Arise during a Transition Curve Survey?

Some challenges that can arise during a transition curve survey include inclement weather, difficult terrain, and the need to accurately measure and calculate complex geometric shapes. Additionally, the surveyor must take into account factors such as the train's speed and the materials used to construct the track when determining the appropriate length of the transition curve.

How to Calculate Length when Comfort Condition Holds Good for Railways?

Length when Comfort Condition Holds Good for Railways calculator uses Transition Curve Length = 4.52*sqrt(Curve Radius) to calculate the Transition Curve Length, The Length when Comfort Condition Holds Good for Railways formula is defined as the length at which the full superelevation is reached. The rate of change of acceleration for comfort conditions is generally taken as 0.3 m/s^2 per 1 second. Transition Curve Length is denoted by L_a symbol.

How to calculate Length when Comfort Condition Holds Good for Railways using this online calculator? To use this online calculator for Length when Comfort Condition Holds Good for Railways, enter Curve Radius (R_Curve) and hit the calculate button. Here is how the Length when Comfort Condition Holds Good for Railways calculation can be explained with given input values -> 63.92245 = 4.52*sqrt(200).

FAQ

What is Length when Comfort Condition Holds Good for Railways?

The Length when Comfort Condition Holds Good for Railways formula is defined as the length at which the full superelevation is reached. The rate of change of acceleration for comfort conditions is generally taken as 0.3 m/s^2 per 1 second and is represented as L_a = 4.52*sqrt(R_Curve) or Transition Curve Length = 4.52*sqrt(Curve Radius). Curve Radius is the radius of a circle whose part, say, arc is taken for consideration.

How to calculate Length when Comfort Condition Holds Good for Railways?

The Length when Comfort Condition Holds Good for Railways formula is defined as the length at which the full superelevation is reached. The rate of change of acceleration for comfort conditions is generally taken as 0.3 m/s^2 per 1 second is calculated using Transition Curve Length = 4.52*sqrt(Curve Radius). To calculate Length when Comfort Condition Holds Good for Railways, you need Curve Radius (R_Curve). With our tool, you need to enter the respective value for Curve Radius and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Transition Curve Length?

In this formula, Transition Curve Length uses Curve Radius. We can use 4 other way(s) to calculate the same, which is/are as follows -

Transition Curve Length = Railway Gauge*Vehicle Velocity^3/(Super Elevation Time Rate*Acceleration due to Gravity*Curve Radius)
Transition Curve Length = (Acceleration due to Gravity*tan(Super Elevation Angle))^1.5*sqrt(Curve Radius)/Rate of Radial Acceleration
Transition Curve Length = 12.80*sqrt(Curve Radius)
Transition Curve Length = sqrt(Shift*24*Curve Radius)

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