Length of single rail at given weight of rails per km Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of single rail = (1000*Weight of Rails per km)/(Number of rails per km*Weight of rail per meter)
L = (1000*W)/(N*w)
This formula uses 4 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.
Weight of Rails per km - (Measured in Tonne) - Weight of Rails per km is the total weights of rail in one km distance.
Number of rails per km - Number of rails per km is the total number of rails in one kilometer or 1000m.
Weight of rail per meter - (Measured in Kilogram per Meter) - Weight of rail per meter means total weight of rail in one meter. 52kg/m (really 51.89kg/m, 105lb/yd) rail is also used extensively.
STEP 1: Convert Input(s) to Base Unit
Weight of Rails per km: 104.104 Tonne --> 104.104 Tonne No Conversion Required
Number of rails per km: 154 --> No Conversion Required
Weight of rail per meter: 52 Kilogram per Meter --> 52 Kilogram per Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = (1000*W)/(N*w) --> (1000*104.104)/(154*52)
Evaluating ... ...
L = 13
STEP 3: Convert Result to Output's Unit
13 Meter --> No Conversion Required
FINAL ANSWER
13 Meter <-- Length of single rail
(Calculation completed in 00.016 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`

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

Length of single rail at given weight of rails per km Formula

Length of single rail = (1000*Weight of Rails per km)/(Number of rails per km*Weight of rail per meter)
L = (1000*W)/(N*w)

Why is it necessary to calculate material requirements per km?

Because, the excess of materials will lead to uneconomy, and shortage of materials may delay the work. The exact quantities of various materials are calculated as follows for one kilometer track.

How to Calculate Length of single rail at given weight of rails per km?

Length of single rail at given weight of rails per km calculator uses Length of single rail = (1000*Weight of Rails per km)/(Number of rails per km*Weight of rail per meter) to calculate the Length of single rail, The Length of single rail at given weight of rails per km formula is defined as the length of single rail when weight of rails per one km is given. Length of single rail is denoted by L symbol.

How to calculate Length of single rail at given weight of rails per km using this online calculator? To use this online calculator for Length of single rail at given weight of rails per km, enter Weight of Rails per km (W), Number of rails per km (N) & Weight of rail per meter (w) and hit the calculate button. Here is how the Length of single rail at given weight of rails per km calculation can be explained with given input values -> 13000 = (1000*104104)/(154*52).

FAQ

What is Length of single rail at given weight of rails per km?
The Length of single rail at given weight of rails per km formula is defined as the length of single rail when weight of rails per one km is given and is represented as L = (1000*W)/(N*w) or Length of single rail = (1000*Weight of Rails per km)/(Number of rails per km*Weight of rail per meter). Weight of Rails per km is the total weights of rail in one km distance, Number of rails per km is the total number of rails in one kilometer or 1000m & Weight of rail per meter means total weight of rail in one meter. 52kg/m (really 51.89kg/m, 105lb/yd) rail is also used extensively.
How to calculate Length of single rail at given weight of rails per km?
The Length of single rail at given weight of rails per km formula is defined as the length of single rail when weight of rails per one km is given is calculated using Length of single rail = (1000*Weight of Rails per km)/(Number of rails per km*Weight of rail per meter). To calculate Length of single rail at given weight of rails per km, you need Weight of Rails per km (W), Number of rails per km (N) & Weight of rail per meter (w). With our tool, you need to enter the respective value for Weight of Rails per km, Number of rails per km & Weight of rail per meter 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 Weight of Rails per km, Number of rails per km & Weight of rail per meter. 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 = Sleeper density-Density Factor
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