Switch-Lead SL Calculator

✖Radius of Outer Curve of Turnout is the radius of outer curve from origin of turnout.ⓘ Radius of Outer Curve of Turnout [R₀]			+10% -10%
✖Heel Divergence is the running distance between the running faces of stock rail and gauge face of the tongue rail when measured at heel of switch.ⓘ Heel Divergence [d]			+10% -10%

✖Switch Lead is the distance between the tangent point and the heel of switch measured along the length of the main track.ⓘ Switch-Lead SL [SL]

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Formula

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Switch-Lead SL

Formula

`"SL" = sqrt(2*"R"_{"0"}*"d")`

Example

`"7.668116m"=sqrt(2*"245m"*"12cm")`

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Switch-Lead SL Solution

STEP 0: Pre-Calculation Summary

Formula Used

Switch Lead = sqrt(2*Radius of Outer Curve of Turnout*Heel Divergence)
SL = sqrt(2*R₀*d)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Switch Lead - (Measured in Meter) - Switch Lead is the distance between the tangent point and the heel of switch measured along the length of the main track.
Radius of Outer Curve of Turnout - (Measured in Meter) - Radius of Outer Curve of Turnout is the radius of outer curve from origin of turnout.
Heel Divergence - (Measured in Meter) - Heel Divergence is the running distance between the running faces of stock rail and gauge face of the tongue rail when measured at heel of switch.

STEP 1: Convert Input(s) to Base Unit

Radius of Outer Curve of Turnout: 245 Meter --> 245 Meter No Conversion Required
Heel Divergence: 12 Centimeter --> 0.12 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

SL = sqrt(2*R₀*d) --> sqrt(2*245*0.12)

Evaluating ... ...

SL = 7.66811580507233

STEP 3: Convert Result to Output's Unit

7.66811580507233 Meter --> No Conversion Required

FINAL ANSWER

7.66811580507233 ≈ 7.668116 Meter <-- Switch Lead

(Calculation completed in 00.020 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

Switch-Lead SL Formula

Switch Lead = sqrt(2*Radius of Outer Curve of Turnout*Heel Divergence)
SL = sqrt(2*R₀*d)

Switch lead

This is the distance from the tangent point to the heel of the switch measured along the length of the main track.

How to Calculate Switch-Lead SL?

Switch-Lead SL calculator uses Switch Lead = sqrt(2*Radius of Outer Curve of Turnout*Heel Divergence) to calculate the Switch Lead, The Switch-Lead SL formula is used to calculate length of switch lead using heel divergence, radius of outer curve of turnout as input. Switch Lead is denoted by SL symbol.

How to calculate Switch-Lead SL using this online calculator? To use this online calculator for Switch-Lead SL, enter Radius of Outer Curve of Turnout (R₀) & Heel Divergence (d) and hit the calculate button. Here is how the Switch-Lead SL calculation can be explained with given input values -> 7.668116 = sqrt(2*245*0.12).

FAQ

What is Switch-Lead SL?

The Switch-Lead SL formula is used to calculate length of switch lead using heel divergence, radius of outer curve of turnout as input and is represented as SL = sqrt(2*R₀*d) or Switch Lead = sqrt(2*Radius of Outer Curve of Turnout*Heel Divergence). Radius of Outer Curve of Turnout is the radius of outer curve from origin of turnout & Heel Divergence is the running distance between the running faces of stock rail and gauge face of the tongue rail when measured at heel of switch.

How to calculate Switch-Lead SL?

The Switch-Lead SL formula is used to calculate length of switch lead using heel divergence, radius of outer curve of turnout as input is calculated using Switch Lead = sqrt(2*Radius of Outer Curve of Turnout*Heel Divergence). To calculate Switch-Lead SL, you need Radius of Outer Curve of Turnout (R₀) & Heel Divergence (d). With our tool, you need to enter the respective value for Radius of Outer Curve of Turnout & Heel Divergence and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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