Number of rails per km at given number of sleepers per km Solution

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

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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`

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"`

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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"`

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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"`

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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"`

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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`

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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

Number of rails per km at given number of sleepers per km Formula

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

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 Number of rails per km at given number of sleepers per km?

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

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

FAQ

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