Length when Comfort Condition Holds Good for Highways 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 Highways [L_a]

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Length when Comfort Condition Holds Good for Highways

Formula

`"L"_{"a"} = 12.80*sqrt("R"_{"Curve"})`

Example

`"181.0193m"=12.80*sqrt("200m")`

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Length when Comfort Condition Holds Good for Highways Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transition Curve Length = 12.80*sqrt(Curve Radius)
L_a = 12.80*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 = 12.80*sqrt(R_Curve) --> 12.80*sqrt(200)

Evaluating ... ...

L_a = 181.019335983756

STEP 3: Convert Result to Output's Unit

181.019335983756 Meter --> No Conversion Required

FINAL ANSWER

181.019335983756 ≈ 181.0193 Meter <-- Transition Curve Length

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Surveying Formulas » Transition Curves Surveying » Length of Transition Curve » Length when Comfort Condition Holds Good for Highways

Credits

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 Highways Formula

Transition Curve Length = 12.80*sqrt(Curve Radius)
L_a = 12.80*sqrt(R_Curve)

What is the Purpose of a Transition Curve?

The purpose of a transition curve is to allow a train to smoothly transition from a straight track to a curved track without experiencing any sudden changes in direction or lateral forces. This helps to reduce wear and tear on the track and rolling stock, as well as increasing safety for passengers and crew.

What Factors can Affect the Length of a Transition Curve?

The length of a transition curve can be affected by various factors such as the maximum permissible speed of the train, the radius of the curve, the superelevation of the curve, the type of train, and the terrain in which the track is laid. These factors must be taken into account when designing a transition curve to ensure its safety and efficiency.

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

Length when Comfort Condition Holds Good for Highways calculator uses Transition Curve Length = 12.80*sqrt(Curve Radius) to calculate the Transition Curve Length, The Length when Comfort Condition Holds Good for Highways 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 Highways using this online calculator? To use this online calculator for Length when Comfort Condition Holds Good for Highways, enter Curve Radius (R_Curve) and hit the calculate button. Here is how the Length when Comfort Condition Holds Good for Highways calculation can be explained with given input values -> 181.0193 = 12.80*sqrt(200).

FAQ

What is Length when Comfort Condition Holds Good for Highways?

The Length when Comfort Condition Holds Good for Highways 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 = 12.80*sqrt(R_Curve) or Transition Curve Length = 12.80*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 Highways?

The Length when Comfort Condition Holds Good for Highways 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 = 12.80*sqrt(Curve Radius). To calculate Length when Comfort Condition Holds Good for Highways, 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 = 4.52*sqrt(Curve Radius)
Transition Curve Length = sqrt(Shift*24*Curve Radius)

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