Number of Crossing (N) Calculator

✖Spread at Leg of Crossing is the distance between the spread of legs of crossing.ⓘ Spread at Leg of Crossing [S]			+10% -10%
✖Length of Crossing from TNC is the distance of TNC from crossing point.ⓘ Length of Crossing from TNC [L_c]			+10% -10%

✖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.ⓘ Number of Crossing (N) [N]

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Formula

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Number of Crossing (N)

Formula

`"N" = "S"/"L"_{"c"}`

Example

`"14"="28cm"/"2cm"`

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Number of Crossing (N) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Crossing = Spread at Leg of Crossing/Length of Crossing from TNC
N = S/L_c
This formula uses 3 Variables

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.
Spread at Leg of Crossing - (Measured in Meter) - Spread at Leg of Crossing is the distance between the spread of legs of crossing.
Length of Crossing from TNC - (Measured in Meter) - Length of Crossing from TNC is the distance of TNC from crossing point.

STEP 1: Convert Input(s) to Base Unit

Spread at Leg of Crossing: 28 Centimeter --> 0.28 Meter (Check conversion here)
Length of Crossing from TNC: 2 Centimeter --> 0.02 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = S/L_c --> 0.28/0.02

Evaluating ... ...

N = 14

STEP 3: Convert Result to Output's Unit

14 --> No Conversion Required

FINAL ANSWER

14 <-- 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

Number of Crossing (N) Formula

Number of Crossing = Spread at Leg of Crossing/Length of Crossing from TNC
N = S/L_c

Number of crossing

Number of crossing are defined as the ratio of spread at the leg of crossing and length of crossing from TNC.

How to Calculate Number of Crossing (N)?

Number of Crossing (N) calculator uses Number of Crossing = Spread at Leg of Crossing/Length of Crossing from TNC to calculate the Number of Crossing, The number of Crossing (N) formula is used to calculate total number of crossing needed when spread of crossing leg and length of crossing from TNC is given as input. Number of Crossing is denoted by N symbol.

How to calculate Number of Crossing (N) using this online calculator? To use this online calculator for Number of Crossing (N), enter Spread at Leg of Crossing (S) & Length of Crossing from TNC (L_c) and hit the calculate button. Here is how the Number of Crossing (N) calculation can be explained with given input values -> 14 = 0.28/0.02.

FAQ

What is Number of Crossing (N)?

The number of Crossing (N) formula is used to calculate total number of crossing needed when spread of crossing leg and length of crossing from TNC is given as input and is represented as N = S/L_c or Number of Crossing = Spread at Leg of Crossing/Length of Crossing from TNC. Spread at Leg of Crossing is the distance between the spread of legs of crossing & Length of Crossing from TNC is the distance of TNC from crossing point.

How to calculate Number of Crossing (N)?

The number of Crossing (N) formula is used to calculate total number of crossing needed when spread of crossing leg and length of crossing from TNC is given as input is calculated using Number of Crossing = Spread at Leg of Crossing/Length of Crossing from TNC. To calculate Number of Crossing (N), you need Spread at Leg of Crossing (S) & Length of Crossing from TNC (L_c). With our tool, you need to enter the respective value for Spread at Leg of Crossing & Length of Crossing from TNC 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 Spread at Leg of Crossing & Length of Crossing from TNC. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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