Length of Single Rail using Sleeper Density Calculator

✖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%
✖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 using Sleeper Density [L]

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Formula

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Length of Single Rail using Sleeper Density

Formula

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

Example

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

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Length of Single Rail using Sleeper Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Single Rail = Sleeper Density-Density Factor
L = S.D.-x
This formula uses 3 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.
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.
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

Sleeper Density: 19 --> No Conversion Required
Density Factor: 6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = S.D.-x --> 19-6

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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Created by Md Anisur Rahman

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 using Sleeper Density Formula

Length of Single Rail = Sleeper Density-Density Factor
L = S.D.-x

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 Length of Single Rail using Sleeper Density?

Length of Single Rail using Sleeper Density calculator uses Length of Single Rail = Sleeper Density-Density Factor to calculate the Length of Single Rail, Length of Single Rail using Sleeper Density 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 using Sleeper Density using this online calculator? To use this online calculator for Length of Single Rail using Sleeper Density, enter Sleeper Density (S.D.) & Density Factor (x) and hit the calculate button. Here is how the Length of Single Rail using Sleeper Density calculation can be explained with given input values -> 13 = 19-6.

FAQ

What is Length of Single Rail using Sleeper Density?

Length of Single Rail using Sleeper Density 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 = S.D.-x or Length of Single Rail = Sleeper Density-Density Factor. 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 & 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 using Sleeper Density?

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