Right Angle or Cole's Method Calculator

✖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.ⓘ Right Angle or Cole's Method [N]

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Formula

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Right Angle or Cole's Method

Formula

`"N" = cot("α"_{"Crossing"})`

Example

`"14.30067"=cot("4°")`

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Right Angle or Cole's Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Crossing = cot(Angle of Crossing)
N = cot(α_Crossing)
This formula uses 1 Functions, 2 Variables

Functions Used

cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., cot(Angle)

Variables Used

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.
Angle of Crossing - (Measured in Radian) - Angle of Crossing is the angle that the gauge faces make with each other.

STEP 1: Convert Input(s) to Base Unit

Angle of Crossing: 4 Degree --> 0.0698131700797601 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = cot(α_Crossing) --> cot(0.0698131700797601)

Evaluating ... ...

N = 14.3006662567146

STEP 3: Convert Result to Output's Unit

14.3006662567146 --> No Conversion Required

FINAL ANSWER

14.3006662567146 ≈ 14.30067 <-- Number of Crossing

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Transportation Engineering » Railway Engineering » Points and Crossings » Right Angle or Cole's Method

Credits

Created by Smriti Singh

MIT Academy of engineering, Pune (MITAOE), Alandi, Pune

Smriti Singh has created this Calculator and 25+ more calculators!

Verified by Rachana B V

The National Institute of Engineering (NIE), Mysuru

Rachana B V has verified this Calculator and 50+ more calculators!

< 10+ Points and Crossings Calculators

Switch-Lead SL

Go Switch Lead = sqrt(2*Radius of Outer Curve of Turnout*Heel Divergence)

Curve Lead (C.L )

Go Curve Lead = sqrt(2*Radius of Outer Curve of Turnout*Gauge Length)

Switch Angle

Go Switch Angle = asin(Heel Divergence/Length of Tongue Rail)

Theoretical Length of Tongue Rail

Go Length of Tongue Rail = Heel Divergence/sin(Switch Angle)

Number of Crossing (N)

Go Number of Crossing = Spread at Leg of Crossing/Length of Crossing from TNC

Isosceles Triangle Method

Go Number of Crossing = (1/2)*cosec(Angle of Crossing/2)

Centre Line Method

Go Number of Crossing = (1/2)*(cot(Angle of Crossing/2))

Curve Lead (C.L ) if given N

Go Curve Lead = 2*Gauge Length*Number of Crossing

Right Angle or Cole's Method

Go Number of Crossing = cot(Angle of Crossing)

Curve Lead

Go Curve Lead = Switch Lead+Crossing Lead

Right Angle or Cole's Method Formula

Number of Crossing = cot(Angle of Crossing)
N = cot(α_Crossing)

About Cole's method

In this method, N is taken as one of the equal sides of an isosceles triangle. The right angle method used by Indian Railways, in which N is the cotangent of the angle formed by two gauge faces, gives the smallest angle for the same value of N.

How to Calculate Right Angle or Cole's Method?

Right Angle or Cole's Method calculator uses Number of Crossing = cot(Angle of Crossing) to calculate 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 calculate Right Angle or Cole's Method using this online calculator? To use this online calculator for Right Angle or Cole's Method, enter Angle of Crossing (α_Crossing) and hit the calculate button. Here is how the Right Angle or Cole's Method calculation can be explained with given input values -> 14.30067 = cot(0.0698131700797601).

FAQ

What is Right Angle or Cole's Method?

Right Angle or Cole's Method formula is used for determining number of crossings with provided angel of crossing and is represented as N = cot(α_Crossing) or Number of Crossing = cot(Angle of Crossing). Angle of Crossing is the angle that the gauge faces make with each other.

How to calculate Right Angle or Cole's Method?

Right Angle or Cole's Method formula is used for determining number of crossings with provided angel of crossing is calculated using Number of Crossing = cot(Angle of Crossing). To calculate Right Angle or Cole's Method, you need Angle of Crossing (α_Crossing). With our tool, you need to enter the respective value for Angle of Crossing 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 Number of Crossing?

In this formula, Number of Crossing uses Angle of Crossing. We can use 3 other way(s) to calculate the same, which is/are as follows -

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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