Length of Single Rail at given Number of Sleepers per km Calculator

✖Number of Sleepers per Km is the total number of sleepers required in one km.ⓘ Number of Sleepers per Km [N_s]			+10% -10%
✖Number of Rails per Km is the total number of rails in one kilometer or 1000m.ⓘ Number of Rails per Km [N]			+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 [x]			+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 at given Number of Sleepers per km [L]

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Formula

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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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Length of Single Rail at given Number of Sleepers per km Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Single Rail = (2*Number of Sleepers per Km/Number of Rails per Km)-(Density Factor)
L = (2*N_s/N)-(x)
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.
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.
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
Number of Rails per Km: 154 --> No Conversion Required
Density Factor: 6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = (2*N_s/N)-(x) --> (2*1463/154)-(6)

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 00.004 seconds)

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Indian Institute of Technology Patna (IIT Patna), Patna, Bihar

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< 23 Materials Required per km of Railway Track Calculators

Number of rails per km at given weight of rails per km

Go Number of Rails per Km = (1000*Weight of Rails per Km)/(Length of Single Rail*Weight of Rail per Meter)

Length of Single Rail at given Weight of Rails per km

Go Length of Single Rail = (1000*Weight of Rails per Km)/(Number of Rails per Km*Weight of Rail per Meter)

Weight of Rail per m at given Weight of Rails per km

Go Weight of Rail per Meter = (1000*Weight of Rails per Km)/(Number of Rails per Km*Length of Single Rail)

Weight of Rails per km

Go Weight of Rails per Km = Number of Rails per Km*Length of Single Rail*Weight of Rail per Meter/1000

Number of Rails per km at given Number of Sleepers per km

Go Number of Rails per Km = 2*(Number of Sleepers per Km)/(Length of Single Rail+Density Factor)

Length of Single Rail at given Number of Sleepers per km

Go Length of Single Rail = (2*Number of Sleepers per Km/Number of Rails per Km)-(Density Factor)

Density Factor at given Number of Sleepers per km

Go Density Factor = (2*Number of Sleepers per Km/Number of Rails per Km)-(Length of Single Rail)

Number of Sleepers per km

Go Number of Sleepers per Km = (Length of Single Rail+Density Factor)*(Number of Rails per Km)/2

Length of Single Rail using Sleeper Density

Go Length of Single Rail = Sleeper Density-Density Factor

Density Factor using Sleeper Density

Go Density Factor = Sleeper Density-Length of Single Rail

Sleeper Density

Go Sleeper Density = Length of Single Rail+Density Factor

Number of Ssleepers using Bearing Plates

Go No of Sleepers using Bearing Plates = Number of Bearing Plates per Km of Track/2

Number of Rails using Bearing Plates

Go No of Rails using Bearing Plates = No of Bearing Plates using No of Rails/4

Number of Sleepers using Dog Spikes

Go No of Sleepers using Dog Spikes = Number of Dog-Spikes per Km of Track/4

Number of Rails using Fish Plates

Go No of Rails using Fish Plates = Number of Fish Plates per Km of Track/2

Number of Bearing Plates per km of Track

Go Number of Bearing Plates per Km of Track = 2*Number of Sleepers per Km

Number of Rails using Fish Bolts

Go No of Rails using Fish Bolts = Number of Fish Bolts per Km of Track/4

Number of Bearing Plates per km of Track using Number of Rails

Go Number of Bearing Plates per Km of Track = 4*Number of Rails per Km

Number of Dog Spikes per km of Track for Timber Sleepers

Go Number of Dog-Spikes per Km of Track = 4*Number of Sleepers per Km

Number of Fish-Plates per km of Track

Go Number of Fish Plates per Km of Track = 2*Number of Rails per Km

Number of Fish Bolts per km of Track

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

Go Length of Single Rail = (1000/Number of Rails per Km)*2

Number of Rails per km

Go Number of Rails per Km = (1000/Length of Single Rail)*2

Length of Single Rail at given Number of Sleepers per km Formula

Length of Single Rail = (2*Number of Sleepers per Km/Number of Rails per Km)-(Density Factor)
L = (2*N_s/N)-(x)

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 Number of Sleepers per km?

Length of Single Rail at given Number of Sleepers per km calculator uses Length of Single Rail = (2*Number of Sleepers per Km/Number of Rails per Km)-(Density Factor) to calculate the Length of Single Rail, Length of Single Rail at given Number of Sleepers per km 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 at given Number of Sleepers per km using this online calculator? To use this online calculator for Length of Single Rail at given Number of Sleepers per km, enter Number of Sleepers per Km (N_s), Number of Rails per Km (N) & Density Factor (x) and hit the calculate button. Here is how the Length of Single Rail at given Number of Sleepers per km calculation can be explained with given input values -> 13 = (2*1463/154)-(6).

FAQ

What is Length of Single Rail at given Number of Sleepers per km?

Length of Single Rail at given Number of Sleepers per km 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 = (2*N_s/N)-(x) or Length of Single Rail = (2*Number of Sleepers per Km/Number of Rails per Km)-(Density Factor). 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 & 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 at given Number of Sleepers per km?

Length of Single Rail at given Number of Sleepers per km 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 = (2*Number of Sleepers per Km/Number of Rails per Km)-(Density Factor). To calculate Length of Single Rail at given Number of Sleepers per km, you need Number of Sleepers per Km (N_s), Number of Rails per Km (N) & Density Factor (x). With our tool, you need to enter the respective value for Number of Sleepers per Km, Number of Rails per Km & 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 Number of Sleepers per Km, Number of Rails per Km & 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 = Sleeper Density-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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