Curve Lead (C.L ) 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%
✖Gauge Length is the distance between the two rails of a railway track.ⓘ Gauge Length [G]			+10% -10%

✖Curve Lead is the distance between the theoretical nose of crossing and the tangent point measured along the length of main track.ⓘ Curve Lead (C.L ) [CL]

⎘ Copy

👎

Formula

✖

Curve Lead (C.L )

Formula

`"CL" = sqrt(2*"R"_{"0"}*"G")`

Example

`"29.69848m"=sqrt(2*"245m"*"1.8m")`

Calculator

LaTeX

Reset

👍

Download Railway Engineering Formula PDF PDF Image

Curve Lead (C.L ) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Curve Lead = sqrt(2*Radius of Outer Curve of Turnout*Gauge Length)
CL = sqrt(2*R₀*G)
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

Curve Lead - (Measured in Meter) - Curve Lead is the distance between the theoretical nose of crossing and the tangent point measured along the length of 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.
Gauge Length - (Measured in Meter) - Gauge Length is the distance between the two rails of a railway track.

STEP 1: Convert Input(s) to Base Unit

Radius of Outer Curve of Turnout: 245 Meter --> 245 Meter No Conversion Required
Gauge Length: 1.8 Meter --> 1.8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

CL = sqrt(2*R₀*G) --> sqrt(2*245*1.8)

Evaluating ... ...

CL = 29.698484809835

STEP 3: Convert Result to Output's Unit

29.698484809835 Meter --> No Conversion Required

FINAL ANSWER

29.698484809835 ≈ 29.69848 Meter <-- Curve Lead

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Transportation Engineering » Railway Engineering » Points and Crossings » Curve Lead (C.L )

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

Curve Lead (C.L ) Formula

Curve Lead = sqrt(2*Radius of Outer Curve of Turnout*Gauge Length)
CL = sqrt(2*R₀*G)

Curve lead

It is the distance from the tangent point to the theoretical nose of crossing measured along the length of the main track.

How to Calculate Curve Lead (C.L )?

Curve Lead (C.L ) calculator uses Curve Lead = sqrt(2*Radius of Outer Curve of Turnout*Gauge Length) to calculate the Curve Lead, The Curve Lead (C.L ) formula is used to calculate curve lead length using gauge length and radius of outer curve of turnout as input. Curve Lead is denoted by CL symbol.

How to calculate Curve Lead (C.L ) using this online calculator? To use this online calculator for Curve Lead (C.L ), enter Radius of Outer Curve of Turnout (R₀) & Gauge Length (G) and hit the calculate button. Here is how the Curve Lead (C.L ) calculation can be explained with given input values -> 29.69848 = sqrt(2*245*1.8).

FAQ

What is Curve Lead (C.L )?

The Curve Lead (C.L ) formula is used to calculate curve lead length using gauge length and radius of outer curve of turnout as input and is represented as CL = sqrt(2*R₀*G) or Curve Lead = sqrt(2*Radius of Outer Curve of Turnout*Gauge Length). Radius of Outer Curve of Turnout is the radius of outer curve from origin of turnout & Gauge Length is the distance between the two rails of a railway track.

How to calculate Curve Lead (C.L )?

The Curve Lead (C.L ) formula is used to calculate curve lead length using gauge length and radius of outer curve of turnout as input is calculated using Curve Lead = sqrt(2*Radius of Outer Curve of Turnout*Gauge Length). To calculate Curve Lead (C.L ), you need Radius of Outer Curve of Turnout (R₀) & Gauge Length (G). With our tool, you need to enter the respective value for Radius of Outer Curve of Turnout & Gauge Length and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Curve Lead?

In this formula, Curve Lead uses Radius of Outer Curve of Turnout & Gauge Length. We can use 2 other way(s) to calculate the same, which is/are as follows -

Curve Lead = Switch Lead+Crossing Lead
Curve Lead = 2*Gauge Length*Number of Crossing

Home

FREE PDFs

🔍 Search