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Length when Comfort Condition Holds Good for Railways Formula

GoLength of Transition Curve given Time Rate Formula

GoLength given Angle of Super Elevation Formula

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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. Check FAQs

L a = 4.52 \cdot \sqrt{R Curve}

L_a - Transition Curve Length?R_Curve - Curve Radius?

Length when Comfort Condition Holds Good for Railways Example

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Here is how the Length when Comfort Condition Holds Good for Railways equation looks like with Values.

Here is how the Length when Comfort Condition Holds Good for Railways equation looks like with Units.

Here is how the Length when Comfort Condition Holds Good for Railways equation looks like.

63.9225 = 4.52 \cdot \sqrt{200}

63.9225m = 4.52 \cdot \sqrt{200m}

63.9225 = 4.52 \cdot \sqrt{200}

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Length when Comfort Condition Holds Good for Railways Solution

Follow our step by step solution on how to calculate Length when Comfort Condition Holds Good for Railways?

FIRST Step Consider the formula

L a = 4.52 \cdot \sqrt{R Curve}

Next Step Substitute values of Variables

∴

L a = 4.52 \cdot \sqrt{200m}

Next Step Prepare to Evaluate

∴

L a = 4.52 \cdot \sqrt{200}

Next Step Evaluate

∴

L a = 63.9224530192639m

LAST Step Rounding Answer

∴

L a = 63.9225m

Length when Comfort Condition Holds Good for Railways Formula Elements

Variables

Functions

Transition Curve Length

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.

Symbol: L_a

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Transition Curve Length

Curve Radius

Curve Radius is the radius of a circle whose part, say, arc is taken for consideration.

Symbol: R_Curve

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Curve Radius

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.

Syntax: sqrt(Number)

Other Formulas to find Transition Curve Length

Go Length of Transition Curve given Time Rate

L a = G \cdot \frac{V^{3}}{x \cdot g \cdot R Curve}

Go Length given Angle of Super Elevation

L a = {(g \cdot \tan (θ e))}^{1.5} \cdot \frac{\sqrt{R Curve}}{α}

Go Length when Comfort Condition Holds Good for Highways

L a = 12.80 \cdot \sqrt{R Curve}

Go Length of Transition Curve given Shift

L a = \sqrt{S \cdot 24 \cdot R Curve}

Other formulas in Length of Transition Curve category

Go Time Rate given Length of Transition Curve

x = G \cdot \frac{V^{3}}{L a \cdot g \cdot R Curve}

Go Rate of Change of Radial Acceleration

α = (\frac{V^{2}}{R Curve \cdot t})

Go Time Taken given Radial Acceleration

t = (\frac{V^{2}}{R Curve \cdot α})

Go Shift of Curve

S = \frac{{L a}^{2}}{24 \cdot R Curve}

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

Length when Comfort Condition Holds Good for Railways evaluator uses Transition Curve Length = 4.52*sqrt(Curve Radius) to evaluate 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 evaluate Length when Comfort Condition Holds Good for Railways using this online evaluator? To use this online evaluator for Length when Comfort Condition Holds Good for Railways, enter Curve Radius (R_Curve) and hit the calculate button.

FAQs on Length when Comfort Condition Holds Good for Railways

What is the formula to find Length when Comfort Condition Holds Good for Railways?

The formula of Length when Comfort Condition Holds Good for Railways is expressed as Transition Curve Length = 4.52*sqrt(Curve Radius). Here is an example- 63.92245 = 4.52*sqrt(200).

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

With Curve Radius (R_Curve) we can find Length when Comfort Condition Holds Good for Railways using the formula - Transition Curve Length = 4.52*sqrt(Curve Radius). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Transition Curve Length?

Here are the different ways to Calculate Transition Curve Length-

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)

Can the Length when Comfort Condition Holds Good for Railways be negative?

Yes, the Length when Comfort Condition Holds Good for Railways, measured in Length can be negative.

Which unit is used to measure Length when Comfort Condition Holds Good for Railways?

Length when Comfort Condition Holds Good for Railways is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length when Comfort Condition Holds Good for Railways can be measured.

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