Density factor using sleeper density Calculator

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✖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.ⓘ Sleeper density [S.D.]			+10% -10%
✖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.ⓘ Length of single rail [L]			+10% -10%

✖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.ⓘ Density factor using sleeper density [x]

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Formula

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Density factor using sleeper density

Formula

`"x" = "S.D."-"L"`

Example

`"6"="19"-"13m"`

Calculator

LaTeX

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Density factor using sleeper density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Density Factor = Sleeper density-Length of single rail
x = S.D.-L
This formula uses 3 Variables

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Sleeper density: 19 --> No Conversion Required
Length of single rail: 13 Meter --> 13 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

x = S.D.-L --> 19-13

Evaluating ... ...

x = 6

STEP 3: Convert Result to Output's Unit

6 --> No Conversion Required

FINAL ANSWER

6 <-- Density Factor

(Calculation completed in 00.015 seconds)

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Created by Md Anisur Rahman

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

Go 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

Go 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

Go 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

Go 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

Go 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

Go 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

Go 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

Go 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

Go 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

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

Density factor using sleeper density Formula

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

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 Density factor using sleeper density?

Density factor using sleeper density calculator uses Density Factor = Sleeper density-Length of single rail to calculate the Density Factor, The Density factor using sleeper density formula is defined as 'x' constant whose values varies from 3 to 6. Density Factor is denoted by x symbol.

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

FAQ

What is Density factor using sleeper density?

The Density factor using sleeper density formula is defined as 'x' constant whose values varies from 3 to 6 and is represented as x = S.D.-L or Density Factor = Sleeper density-Length of single rail. 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 & 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.

How to calculate Density factor using sleeper density?

The Density factor using sleeper density formula is defined as 'x' constant whose values varies from 3 to 6 is calculated using Density Factor = Sleeper density-Length of single rail. To calculate Density factor using sleeper density, you need Sleeper density (S.D.) & Length of single rail (L). With our tool, you need to enter the respective value for Sleeper density & Length of single rail 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 Density Factor?

In this formula, Density Factor uses Sleeper density & Length of single rail. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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