Density Factor at given number of sleepers per km Solution

STEP 0: Pre-Calculation Summary
Formula Used
Density Factor = (2*Number of sleepers per km/Number of rails per km)-(Length of single rail)
x = (2*Ns/N)-(L)
This formula uses 4 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.
Number of sleepers per km - Number of sleepers per km is the total number of sleepers required in one km.
Number of rails per km - Number of rails per km is the total number of rails in one kilometer or 1000m.
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
Number of sleepers per km: 1463 --> No Conversion Required
Number of rails per km: 154 --> No Conversion Required
Length of single rail: 13 Meter --> 13 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
x = (2*Ns/N)-(L) --> (2*1463/154)-(13)
Evaluating ... ...
x = 6
STEP 3: Convert Result to Output's Unit
6 --> No Conversion Required
FINAL ANSWER
6 <-- Density Factor
(Calculation completed in 00.000 seconds)

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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`

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

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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")`

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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`

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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"`

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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

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

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`"2926"=2*"1463"`

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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"}`

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`"5852"=4*"1463"`

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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

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

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`"308"=2*"154"`

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

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

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`"616"=4*"154"`

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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`

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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`

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

Density Factor at given number of sleepers per km Formula

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

What is the function of sleepers?

The primary function of a sleeper is to grip the rail to gauge and to distribute the rail loads to ballast with acceptable induced pressure. The side functions of a sleeper include the avoidance of both longitudinal and lateral track movement. It also helps to enhance correct line and level of the rails.

How to Calculate Density Factor at given number of sleepers per km?

Density Factor at given number of sleepers per km calculator uses Density Factor = (2*Number of sleepers per km/Number of rails per km)-(Length of single rail) to calculate the Density Factor, The Density Factor at given number of sleepers per km formula 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 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. Density Factor is denoted by x symbol.

How to calculate Density Factor at given number of sleepers per km using this online calculator? To use this online calculator for Density Factor at given number of sleepers per km, enter Number of sleepers per km (Ns), Number of rails per km (N) & Length of single rail (L) and hit the calculate button. Here is how the Density Factor at given number of sleepers per km calculation can be explained with given input values -> 6 = (2*1463/154)-(13).

FAQ

What is Density Factor at given number of sleepers per km?
The Density Factor at given number of sleepers per km formula 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 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 and is represented as x = (2*Ns/N)-(L) or Density Factor = (2*Number of sleepers per km/Number of rails per km)-(Length of single rail). Number of sleepers per km is the total number of sleepers required in one km, Number of rails per km is the total number of rails in one kilometer or 1000m & 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 at given number of sleepers per km?
The Density Factor at given number of sleepers per km formula 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 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 is calculated using Density Factor = (2*Number of sleepers per km/Number of rails per km)-(Length of single rail). To calculate Density Factor at given number of sleepers per km, you need Number of sleepers per km (Ns), Number of rails per km (N) & Length of single rail (L). With our tool, you need to enter the respective value for Number of sleepers per km, Number of rails per km & 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 Number of sleepers per km, Number of rails per km & Length of single rail. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Density Factor = Sleeper density-Length of single rail
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