Centre Line 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.ⓘ Centre Line Method [N]

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Formula

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Centre Line Method

Formula

`"N" = (1/2)*(cot("α"_{"Crossing"}/2))`

Example

`"14.31813"=(1/2)*(cot("4°"/2))`

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Centre Line Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Crossing = (1/2)*(cot(Angle of Crossing/2))
N = (1/2)*(cot(α_Crossing/2))
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 = (1/2)*(cot(α_Crossing/2)) --> (1/2)*(cot(0.0698131700797601/2))

Evaluating ... ...

N = 14.3181266414605

STEP 3: Convert Result to Output's Unit

14.3181266414605 --> No Conversion Required

FINAL ANSWER

14.3181266414605 ≈ 14.31813 <-- Number of Crossing

(Calculation completed in 00.004 seconds)

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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

Centre Line Method Formula

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

Centre line method

In centre line method, number of crossings N is measured along the centre line of the crossing. N can be calculated by 2N = cot (α/2).

How to Calculate Centre Line Method?

Centre Line Method calculator uses Number of Crossing = (1/2)*(cot(Angle of Crossing/2)) to calculate 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 calculate Centre Line Method using this online calculator? To use this online calculator for Centre Line Method, enter Angle of Crossing (α_Crossing) and hit the calculate button. Here is how the Centre Line Method calculation can be explained with given input values -> 14.31813 = (1/2)*(cot(0.0698131700797601/2)).

FAQ

What is Centre Line Method?

The Centre Line Method formula is used to find out number of crossings that will be needed using angle of crossing as input and is represented as N = (1/2)*(cot(α_Crossing/2)) or Number of Crossing = (1/2)*(cot(Angle of Crossing/2)). Angle of Crossing is the angle that the gauge faces make with each other.

How to calculate Centre Line Method?

The Centre Line Method formula is used to find out number of crossings that will be needed using angle of crossing as input is calculated using Number of Crossing = (1/2)*(cot(Angle of Crossing/2)). To calculate Centre Line 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 = cot(Angle of Crossing)
Number of Crossing = (1/2)*cosec(Angle of Crossing/2)

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