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Switch-Lead SL Formula

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Switch Lead is the distance between the tangent point and the heel of switch measured along the length of the main track. Check FAQs

SL = \sqrt{2 \cdot R 0 \cdot d}

SL - Switch Lead?R₀ - Radius of Outer Curve of Turnout?d - Heel Divergence?

Switch-Lead SL Example

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With units

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Here is how the Switch-Lead SL equation looks like with Values.

Here is how the Switch-Lead SL equation looks like with Units.

Here is how the Switch-Lead SL equation looks like.

7.6681 = \sqrt{2 \cdot 245 \cdot 12}

7.6681m = \sqrt{2 \cdot 245m \cdot 12cm}

7.6681 = \sqrt{2 \cdot 245 \cdot 12}

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Switch-Lead SL Solution

Follow our step by step solution on how to calculate Switch-Lead SL?

FIRST Step Consider the formula

SL = \sqrt{2 \cdot R 0 \cdot d}

Next Step Substitute values of Variables

∴

SL = \sqrt{2 \cdot 245m \cdot 12cm}

Next Step Convert Units

∴

SL = \sqrt{2 \cdot 245m \cdot 0.12m}

Next Step Prepare to Evaluate

∴

SL = \sqrt{2 \cdot 245 \cdot 0.12}

Next Step Evaluate

∴

SL = 7.66811580507233m

LAST Step Rounding Answer

∴

SL = 7.6681m

Switch-Lead SL Formula Elements

Variables

Functions

Switch Lead

Switch Lead is the distance between the tangent point and the heel of switch measured along the length of the main track.

Symbol: SL

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Switch Lead

Radius of Outer Curve of Turnout

Radius of Outer Curve of Turnout is the radius of outer curve from origin of turnout.

Symbol: R₀

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Outer Curve of Turnout

Heel Divergence

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.

Symbol: d

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Heel Divergence

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.

Syntax: sqrt(Number)

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 Number of Crossing (N)

N = \frac{S}{L c}

Go Right Angle or Cole's Method

N = \cot (α Crossing)

How to Evaluate Switch-Lead SL?

Switch-Lead SL evaluator uses Switch Lead = sqrt(2*Radius of Outer Curve of Turnout*Heel Divergence) to evaluate 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 evaluate Switch-Lead SL using this online evaluator? To use this online evaluator for Switch-Lead SL, enter Radius of Outer Curve of Turnout (R₀) & Heel Divergence (d) and hit the calculate button.

FAQs on Switch-Lead SL

What is the formula to find Switch-Lead SL?

The formula of Switch-Lead SL is expressed as Switch Lead = sqrt(2*Radius of Outer Curve of Turnout*Heel Divergence). Here is an example- 7.668116 = sqrt(2*245*0.12).

How to calculate Switch-Lead SL?

With Radius of Outer Curve of Turnout (R₀) & Heel Divergence (d) we can find Switch-Lead SL using the formula - Switch Lead = sqrt(2*Radius of Outer Curve of Turnout*Heel Divergence). This formula also uses Square Root (sqrt) function(s).

Can the Switch-Lead SL be negative?

No, the Switch-Lead SL, measured in Length cannot be negative.

Which unit is used to measure Switch-Lead SL?

Switch-Lead SL is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Switch-Lead SL can be measured.

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Switch-Lead SL Formula

Switch-Lead SL Example

Switch-Lead SL Solution

Switch-Lead SL Formula Elements

Other formulas in Points and Crossings category

How to Evaluate Switch-Lead SL?

FAQs on Switch-Lead SL

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