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Isosceles Triangle 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 \cos e c (\frac{α Crossing}{2})

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

Isosceles Triangle Method Example

With values

With units

Only example

Here is how the Isosceles Triangle Method equation looks like with Values.

Here is how the Isosceles Triangle Method equation looks like with Units.

Here is how the Isosceles Triangle Method equation looks like.

14.3269 = (\frac{1}{2}) \cdot \cos e c (\frac{4}{2})

14.3269 = (\frac{1}{2}) \cdot \cos e c (\frac{4°}{2})

14.3269 = (\frac{1}{2}) \cdot \cos e c (\frac{4}{2})

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Isosceles Triangle Method Solution

Follow our step by step solution on how to calculate Isosceles Triangle Method?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

N = (\frac{1}{2}) \cdot \cos e c (\frac{4°}{2})

Next Step Convert Units

∴

N = (\frac{1}{2}) \cdot \cos e c (\frac{0.0698rad}{2})

Next Step Prepare to Evaluate

∴

N = (\frac{1}{2}) \cdot \cos e c (\frac{0.0698}{2})

Next Step Evaluate

∴

N = 14.3268541739246

LAST Step Rounding Answer

∴

N = 14.3269

Isosceles Triangle 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

sec

Secant is a trigonometric function that is defined ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine.

Syntax: sec(Angle)

cosec

The cosecant function is a trigonometric function that is the reciprocal of the sine function.

Syntax: cosec(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 Centre Line Method

N = (\frac{1}{2}) \cdot (\cot (\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 Isosceles Triangle Method?

Isosceles Triangle Method evaluator uses Number of Crossing = (1/2)*cosec(Angle of Crossing/2) to evaluate the Number of Crossing, The Isosceles Triangle Method formula is used to calculate number of crossings , using angle of crossing as input. Number of Crossing is denoted by N symbol.

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

FAQs on Isosceles Triangle Method

What is the formula to find Isosceles Triangle Method?

The formula of Isosceles Triangle Method is expressed as Number of Crossing = (1/2)*cosec(Angle of Crossing/2). Here is an example- 14.32685 = (1/2)*cosec(0.0698131700797601/2).

How to calculate Isosceles Triangle Method?

With Angle of Crossing (α_Crossing) we can find Isosceles Triangle Method using the formula - Number of Crossing = (1/2)*cosec(Angle of Crossing/2). This formula also uses Secant (sec), Cosecant (cosec) 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)*(cot(Angle of Crossing/2))

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