Theoretical Length of Tongue Rail Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Tongue Rail = Heel Divergence/sin(Switch Angle)
Lt = 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
Lt = d/sin(α) --> 0.12/sin(0.0399680398706626)
Evaluating ... ...
Lt = 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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MIT Academy of engineering, Pune (MITAOE), Alandi, Pune
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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

Theoretical Length of Tongue Rail Formula

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