## Length of single rail using sleeper density Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of single rail = Sleeper density-Density Factor
L = S.D.-x
This formula uses 3 Variables
Variables Used
Length of single rail - (Measured in Meter) - Length of Single Rail Indian Railways has standardized a rail length of 13 m (previously 12.8 m) for broad gauge and 12 m (previously 11.8 m) for MG and NG tracks.
Sleeper density - Sleeper density is defined as the number of sleepers required under one rail length of railway track. It is expressed as (n + x) where n is the length of one rail in meter and x is constant.
Density Factor - Density factor is any number which when added to a length of rail, will give sleeper Density. In India x-4, 5, 6 or 7 is used for main-tracks.
STEP 1: Convert Input(s) to Base Unit
Sleeper density: 19 --> No Conversion Required
Density Factor: 6 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = S.D.-x --> 19-6
Evaluating ... ...
L = 13
STEP 3: Convert Result to Output's Unit
13 Meter --> No Conversion Required
13 Meter <-- Length of single rail
(Calculation completed in 00.016 seconds)
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Motilal Nehru National Institute of Technology Allahabad (MNNIT Allahabad), Prayagraj, U.P.
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## < 10+ Materials Required per km of Railway track Calculators

Weight of Rails per km

## Weight of Rails per km

Formula
"W" = "N"*"L"*"w"/1000

Example
"104.104t"="154"*"13m"*"52kg/m"/1000

Calculator
LaTeX
Weight of Rails per km = Number of rails per km*Length of single rail*Weight of rail per meter/1000
Length of single rail at given number of sleepers per km

## Length of single rail at given number of sleepers per km

Formula
"L" = (2*"N"_{"s"}/"N")-("x")

Example
"13m"=(2*"1463"/"154")-("6")

Calculator
LaTeX
Length of single rail = (2*Number of sleepers per km/Number of rails per km)-(Density Factor)
Number of sleepers per km

## Number of sleepers per km

Formula
"N"_{"s"} = ("L"+"x")*("N")/2

Example
"1463"=("13m"+"6")*("154")/2

Calculator
LaTeX
Number of sleepers per km = (Length of single rail+Density Factor)*(Number of rails per km)/2
Sleeper Density

## Sleeper Density

Formula
"S.D." = "L"+"x"

Example
"19"="13m"+"6"

Calculator
LaTeX
Sleeper density = Length of single rail+Density Factor
Number of bearing plates per km of track

## Number of bearing plates per km of track

Formula
"N"_{"bp"} = 2*"N"_{"s"}

Example
"2926"=2*"1463"

Calculator
LaTeX
Number of Bearing plates per km of track = 2*Number of sleepers per km
Number of dog spikes per km of track for timber sleepers

## Number of dog spikes per km of track for timber sleepers

Formula
"N"_{"ds"} = 4*"N"_{"s"}

Example
"5852"=4*"1463"

Calculator
LaTeX
Number of Dog-spikes per km of track = 4*Number of sleepers per km
Number of fish-plates per km of track

## Number of fish-plates per km of track

Formula
"N"_{"fp"} = 2*"N"

Example
"308"=2*"154"

Calculator
LaTeX
Number of fish plates per km of track = 2*Number of rails per km
Number of fish bolts per km of track

## Number of fish bolts per km of track

Formula
"N"_{"fb"} = 4*"N"

Example
"616"=4*"154"

Calculator
LaTeX
Number of fish bolts per km of track = 4*Number of rails per km
Length of single rail at given number of rails per km

## Length of single rail at given number of rails per km

Formula
"L" = (1000/"N")*2

Example
"12.98701m"=(1000/"154")*2

Calculator
LaTeX
Length of single rail = (1000/Number of rails per km)*2
Number of rails per km

## Number of rails per km

Formula
"N" = (1000/"L")*2

Example
"153.8462"=(1000/"13m")*2

Calculator
LaTeX
Number of rails per km = (1000/Length of single rail)*2

## Length of single rail using sleeper density Formula

Length of single rail = Sleeper density-Density Factor
L = S.D.-x

## What is sleeper density?

It is expressed as (n + x) where n is the length of one rail in meter and x is constant whose value varies from 3 to 6 (length of one rail is 13 m for B.G. Track and is 12 m for meter gauge (M.G.) track. In India the sleeper density is taken as (n + 3) to (n + 6).

## How to Calculate Length of single rail using sleeper density?

Length of single rail using sleeper density calculator uses Length of single rail = Sleeper density-Density Factor to calculate the Length of single rail, The Length of single rail using sleeper density formula is defined as per Indian Railways standardized a rail length of 13 m (previously 12.8 m) for broad gauge and 12 m (previously 11.8 m) for MG and NG tracks. Length of single rail is denoted by L symbol.

How to calculate Length of single rail using sleeper density using this online calculator? To use this online calculator for Length of single rail using sleeper density, enter Sleeper density (S.D.) & Density Factor (x) and hit the calculate button. Here is how the Length of single rail using sleeper density calculation can be explained with given input values -> 13 = 19-6.

### FAQ

What is Length of single rail using sleeper density?
The Length of single rail using sleeper density formula is defined as per Indian Railways standardized a rail length of 13 m (previously 12.8 m) for broad gauge and 12 m (previously 11.8 m) for MG and NG tracks and is represented as L = S.D.-x or Length of single rail = Sleeper density-Density Factor. Sleeper density is defined as the number of sleepers required under one rail length of railway track. It is expressed as (n + x) where n is the length of one rail in meter and x is constant & Density factor is any number which when added to a length of rail, will give sleeper Density. In India x-4, 5, 6 or 7 is used for main-tracks.
How to calculate Length of single rail using sleeper density?
The Length of single rail using sleeper density formula is defined as per Indian Railways standardized a rail length of 13 m (previously 12.8 m) for broad gauge and 12 m (previously 11.8 m) for MG and NG tracks is calculated using Length of single rail = Sleeper density-Density Factor. To calculate Length of single rail using sleeper density, you need Sleeper density (S.D.) & Density Factor (x). With our tool, you need to enter the respective value for Sleeper density & Density Factor 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 Length of single rail?
In this formula, Length of single rail uses Sleeper density & Density Factor. We can use 3 other way(s) to calculate the same, which is/are as follows -
• Length of single rail = (1000/Number of rails per km)*2
• Length of single rail = (2*Number of sleepers per km/Number of rails per km)-(Density Factor)
• Length of single rail = (1000*Weight of Rails per km)/(Number of rails per km*Weight of rail per meter)
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