Switch Angle Calculator

✖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%
✖Length of Tongue Rail is tapered moveable rail, connected at its thickest end to the running rail.ⓘ Length of Tongue Rail [L_t]			+10% -10%

✖Switch Angle also known as switch divergence. It is the angle between running faces of stock rail and tounge rail.ⓘ Switch Angle [α]

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Formula

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Switch Angle

Formula

`"α" = asin("d"/"L"_{"t"})`

Example

`"2.292443°"=asin("12cm"/"3m")`

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Switch Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Switch Angle = asin(Heel Divergence/Length of Tongue Rail)
α = asin(d/L_t)
This formula uses 2 Functions, 3 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
asin - The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., asin(Number)

Variables Used

Switch Angle - (Measured in Radian) - Switch Angle also known as switch divergence. It is the angle between running faces of stock rail and tounge rail.
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.
Length of Tongue Rail - (Measured in Meter) - Length of Tongue Rail is tapered moveable rail, connected at its thickest end to the running rail.

STEP 1: Convert Input(s) to Base Unit

Heel Divergence: 12 Centimeter --> 0.12 Meter (Check conversion here)
Length of Tongue Rail: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α = asin(d/L_t) --> asin(0.12/3)

Evaluating ... ...

α = 0.0400106743539889

STEP 3: Convert Result to Output's Unit

0.0400106743539889 Radian -->2.29244277595632 Degree (Check conversion here)

FINAL ANSWER

2.29244277595632 ≈ 2.292443 Degree <-- Switch Angle

(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

Switch Angle Formula

Switch Angle = asin(Heel Divergence/Length of Tongue Rail)
α = asin(d/L_t)

Important note about switch angle

For smooth entry and movement of trains , it is desirable to have small switch angles on the track which is going to be used for fast moving trains and on the other hand greater switch angles should be adopted on those sections which are going to be used for slow moving trains as in case of station yards.

How to Calculate Switch Angle?

Switch Angle calculator uses Switch Angle = asin(Heel Divergence/Length of Tongue Rail) to calculate the Switch Angle, Switch Angle formula is used to calculate switch divergence. It is the angle between running faces of stock rail and tongue rail. Switch Angle is denoted by α symbol.

How to calculate Switch Angle using this online calculator? To use this online calculator for Switch Angle, enter Heel Divergence (d) & Length of Tongue Rail (L_t) and hit the calculate button. Here is how the Switch Angle calculation can be explained with given input values -> 131.3473 = asin(0.12/3).

FAQ

What is Switch Angle?

Switch Angle formula is used to calculate switch divergence. It is the angle between running faces of stock rail and tongue rail and is represented as α = asin(d/L_t) or Switch Angle = asin(Heel Divergence/Length of Tongue Rail). 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 & Length of Tongue Rail is tapered moveable rail, connected at its thickest end to the running rail.

How to calculate Switch Angle?

Switch Angle formula is used to calculate switch divergence. It is the angle between running faces of stock rail and tongue rail is calculated using Switch Angle = asin(Heel Divergence/Length of Tongue Rail). To calculate Switch Angle, you need Heel Divergence (d) & Length of Tongue Rail (L_t). With our tool, you need to enter the respective value for Heel Divergence & Length of Tongue Rail 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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