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Sleeper Density Formula

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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. Check FAQs

S.D. = L + x

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

Sleeper Density Example

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Here is how the Sleeper Density equation looks like with Values.

Here is how the Sleeper Density equation looks like with Units.

Here is how the Sleeper Density equation looks like.

19 = 13 + 6

19 = 13m + 6

19 = 13 + 6

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Sleeper Density Solution

Follow our step by step solution on how to calculate Sleeper Density?

FIRST Step Consider the formula

S.D. = L + x

Next Step Substitute values of Variables

∴

S.D. = 13m + 6

Next Step Prepare to Evaluate

∴

S.D. = 13 + 6

LAST Step Evaluate

∴

S.D. = 19

Sleeper Density Formula Elements

Variables

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.

Symbol: S.D.

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Sleeper Density

Length of Single Rail

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.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Single Rail

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.

Symbol: x

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Density Factor

Other formulas in Materials Required per km of Railway Track category

Go Number of Rails per km

N = (\frac{1000}{L}) \cdot 2

Go Weight of Rails per km

W = N \cdot L \cdot \frac{w}{1000}

Go Number of Sleepers per km

N s = (L + x) \cdot \frac{N}{2}

Go Number of Fish-Plates per km of Track

N fp = 2 \cdot N

How to Evaluate Sleeper Density?

Sleeper Density evaluator uses Sleeper Density = Length of Single Rail+Density Factor to evaluate the Sleeper Density, The Sleeper Density formula is defined as s 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. In India the sleeper density is taken as (n + 3) to (n + 6). Sleeper Density is denoted by S.D. symbol.

How to evaluate Sleeper Density using this online evaluator? To use this online evaluator for Sleeper Density, enter Length of Single Rail (L) & Density Factor (x) and hit the calculate button.

FAQs on Sleeper Density

What is the formula to find Sleeper Density?

The formula of Sleeper Density is expressed as Sleeper Density = Length of Single Rail+Density Factor. Here is an example- 19 = 13+6.

How to calculate Sleeper Density?

With Length of Single Rail (L) & Density Factor (x) we can find Sleeper Density using the formula - Sleeper Density = Length of Single Rail+Density Factor.

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Sleeper Density Formula

Sleeper Density Example

Sleeper Density Solution

Sleeper Density Formula Elements

Other formulas in Materials Required per km of Railway Track category

How to Evaluate Sleeper Density?

FAQs on Sleeper Density

Variable Name