Theoretical Length of Tongue Rail 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%
✖Switch Angle also known as switch divergence. It is the angle between running faces of stock rail and tounge rail.ⓘ Switch Angle [α]			+10% -10%

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

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Theoretical Length of Tongue Rail Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Tongue Rail = Heel Divergence/sin(Switch Angle)
L_t = d/sin(α)
This formula uses 1 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)

Variables Used

Length of Tongue Rail - (Measured in Meter) - Length of Tongue Rail is tapered moveable rail, connected at its thickest end to the running 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.
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.

STEP 1: Convert Input(s) to Base Unit

Heel Divergence: 12 Centimeter --> 0.12 Meter (Check conversion here)
Switch Angle: 2.29 Degree --> 0.0399680398706626 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_t = d/sin(α) --> 0.12/sin(0.0399680398706626)

Evaluating ... ...

L_t = 3.00319843624847

STEP 3: Convert Result to Output's Unit

3.00319843624847 Meter --> No Conversion Required

FINAL ANSWER

3.00319843624847 ≈ 3.003198 Meter <-- Length of Tongue Rail

(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

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< Points and Crossings Calculators

Switch Angle

LaTeX Go Switch Angle = asin(Heel Divergence/Length of Tongue Rail)

Theoretical Length of Tongue Rail

LaTeX Go Length of Tongue Rail = Heel Divergence/sin(Switch Angle)

Number of Crossing (N)

LaTeX Go Number of Crossing = Spread at Leg of Crossing/Length of Crossing from TNC

Right Angle or Cole's Method

LaTeX Go Number of Crossing = cot(Angle of Crossing)

Theoretical Length of Tongue Rail Formula

LaTeX Go

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

Length of tongue rail

For a given heel divergence, the length of the tongue rail depends upon the value of switch angle. This length of the tongue rail should be carefully selected because use of long tongue rails will increase the overall length of the turnout whereas the short tongue rails will increase the angle of switch

The length of the tongue rail should be longer than the rigid wheel base of a four-wheel vehicle so that before a wheel leaves the tongue rail another wheel behind it must come on the tongue rail to, prevent the opening of the toe.

But in case of passenger bogies, this argument is not justified because of the longer length of the bogies.

How to Calculate Theoretical Length of Tongue Rail?

Theoretical Length of Tongue Rail calculator uses Length of Tongue Rail = Heel Divergence/sin(Switch Angle) to calculate the Length of Tongue Rail, Theoretical Length of Tongue Rail formula is used to calculate length of tapered moveable rail, connected at its thickest end to running rail. Length of Tongue Rail is denoted by L_t symbol.

How to calculate Theoretical Length of Tongue Rail using this online calculator? To use this online calculator for Theoretical Length of Tongue Rail, enter Heel Divergence (d) & Switch Angle (α) and hit the calculate button. Here is how the Theoretical Length of Tongue Rail calculation can be explained with given input values -> 3.003198 = 0.12/sin(0.0399680398706626).

FAQ

What is Theoretical Length of Tongue Rail?

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

How to calculate Theoretical Length of Tongue Rail?

Theoretical Length of Tongue Rail formula is used to calculate length of tapered moveable rail, connected at its thickest end to running rail is calculated using Length of Tongue Rail = Heel Divergence/sin(Switch Angle). To calculate Theoretical Length of Tongue Rail, you need Heel Divergence (d) & Switch Angle (α). With our tool, you need to enter the respective value for Heel Divergence & Switch Angle 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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