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Centre Line Method Formula

GoNumber of Crossing (N) Formula

GoRight Angle or Cole's Method Formula

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Number of Crossing - Crossing or ‘frog’ is a device that provides two flangeways through which the wheels of the flanges may move when two rails intersect each other at an angle. Check FAQs

N = (\frac{1}{2}) \cdot (\cot (\frac{α Crossing}{2}))

N - Number of Crossing?α_Crossing - Angle of Crossing?

Centre Line Method Example

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With units

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Here is how the Centre Line Method equation looks like with Values.

Here is how the Centre Line Method equation looks like with Units.

Here is how the Centre Line Method equation looks like.

14.3181 = (\frac{1}{2}) \cdot (\cot (\frac{4}{2}))

14.3181 = (\frac{1}{2}) \cdot (\cot (\frac{4°}{2}))

14.3181 = (\frac{1}{2}) \cdot (\cot (\frac{4}{2}))

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Centre Line Method Solution

Follow our step by step solution on how to calculate Centre Line Method?

FIRST Step Consider the formula

N = (\frac{1}{2}) \cdot (\cot (\frac{α Crossing}{2}))

Next Step Substitute values of Variables

∴

N = (\frac{1}{2}) \cdot (\cot (\frac{4°}{2}))

Next Step Convert Units

∴

N = (\frac{1}{2}) \cdot (\cot (\frac{0.0698rad}{2}))

Next Step Prepare to Evaluate

∴

N = (\frac{1}{2}) \cdot (\cot (\frac{0.0698}{2}))

Next Step Evaluate

∴

N = 14.3181266414605

LAST Step Rounding Answer

∴

N = 14.3181

Centre Line Method Formula Elements

Variables

Functions

Number of Crossing

Number of Crossing - Crossing or ‘frog’ is a device that provides two flangeways through which the wheels of the flanges may move when two rails intersect each other at an angle.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Crossing

Angle of Crossing

Angle of Crossing is the angle that the gauge faces make with each other.

Symbol: α_Crossing

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Crossing

cot

Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle.

Syntax: cot(Angle)

Other Formulas to find Number of Crossing

Go Number of Crossing (N)

N = \frac{S}{L c}

Go Right Angle or Cole's Method

N = \cot (α Crossing)

Go Isosceles Triangle Method

N = (\frac{1}{2}) \cdot \cos e c (\frac{α Crossing}{2})

Other formulas in Points and Crossings category

Go Switch Angle

α = a \sin (\frac{d}{L t})

Go Theoretical Length of Tongue Rail

L t = \frac{d}{\sin (α)}

Go Curve Lead

CL = SL + L

Go Curve Lead (C.L )

CL = \sqrt{2 \cdot R 0 \cdot G}

How to Evaluate Centre Line Method?

Centre Line Method evaluator uses Number of Crossing = (1/2)*(cot(Angle of Crossing/2)) to evaluate the Number of Crossing, The Centre Line Method formula is used to find out number of crossings that will be needed using angle of crossing as input. Number of Crossing is denoted by N symbol.

How to evaluate Centre Line Method using this online evaluator? To use this online evaluator for Centre Line Method, enter Angle of Crossing (α_Crossing) and hit the calculate button.

FAQs on Centre Line Method

What is the formula to find Centre Line Method?

The formula of Centre Line Method is expressed as Number of Crossing = (1/2)*(cot(Angle of Crossing/2)). Here is an example- 14.31813 = (1/2)*(cot(0.0698131700797601/2)).

How to calculate Centre Line Method?

With Angle of Crossing (α_Crossing) we can find Centre Line Method using the formula - Number of Crossing = (1/2)*(cot(Angle of Crossing/2)). This formula also uses Cotangent function(s).

What are the other ways to Calculate Number of Crossing?

Here are the different ways to Calculate Number of Crossing-

Number of Crossing=Spread at Leg of Crossing/Length of Crossing from TNC
Number of Crossing=cot(Angle of Crossing)
Number of Crossing=(1/2)*cosec(Angle of Crossing/2)

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