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Right Angle or Cole's Method Formula

GoNumber of Crossing (N) Formula

GoCentre Line 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 = \cot (α Crossing)

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

Right Angle or Cole's Method Example

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Here is how the Right Angle or Cole's Method equation looks like with Values.

Here is how the Right Angle or Cole's Method equation looks like with Units.

Here is how the Right Angle or Cole's Method equation looks like.

14.3007 = \cot (4)

14.3007 = \cot (4°)

14.3007 = \cot (4)

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Right Angle or Cole's Method Solution

Follow our step by step solution on how to calculate Right Angle or Cole's Method?

FIRST Step Consider the formula

N = \cot (α Crossing)

Next Step Substitute values of Variables

∴

N = \cot (4°)

Next Step Convert Units

∴

N = \cot (0.0698rad)

Next Step Prepare to Evaluate

∴

N = \cot (0.0698)

Next Step Evaluate

∴

N = 14.3006662567146

LAST Step Rounding Answer

∴

N = 14.3007

Right Angle or Cole's 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 Centre Line Method

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

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 Right Angle or Cole's Method?

Right Angle or Cole's Method evaluator uses Number of Crossing = cot(Angle of Crossing) to evaluate the Number of Crossing, Right Angle or Cole's Method formula is used for determining number of crossings with provided angel of crossing. Number of Crossing is denoted by N symbol.

How to evaluate Right Angle or Cole's Method using this online evaluator? To use this online evaluator for Right Angle or Cole's Method, enter Angle of Crossing (α_Crossing) and hit the calculate button.

FAQs on Right Angle or Cole's Method

What is the formula to find Right Angle or Cole's Method?

The formula of Right Angle or Cole's Method is expressed as Number of Crossing = cot(Angle of Crossing). Here is an example- 14.30067 = cot(0.0698131700797601).

How to calculate Right Angle or Cole's Method?

With Angle of Crossing (α_Crossing) we can find Right Angle or Cole's Method using the formula - Number of Crossing = cot(Angle of Crossing). This formula also uses Cotangent (cot) 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=(1/2)*(cot(Angle of Crossing/2))
Number of Crossing=(1/2)*cosec(Angle of Crossing/2)

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