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Density Factor at given Number of Sleepers per km Formula

GoDensity Factor using Sleeper Density Formula

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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. Check FAQs

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

x - Density Factor?N_s - Number of Sleepers per Km?N - Number of Rails per Km?L - Length of Single Rail?

Density Factor at given Number of Sleepers per km Example

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Here is how the Density Factor at given Number of Sleepers per km equation looks like with Values.

Here is how the Density Factor at given Number of Sleepers per km equation looks like with Units.

Here is how the Density Factor at given Number of Sleepers per km equation looks like.

6 = (2 \cdot \frac{1463}{154}) - (13)

6 = (2 \cdot \frac{1463}{154}) - (13m)

6 = (2 \cdot \frac{1463}{154}) - (13)

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Density Factor at given Number of Sleepers per km Solution

Follow our step by step solution on how to calculate Density Factor at given Number of Sleepers per km?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

x = (2 \cdot \frac{1463}{154}) - (13m)

Next Step Prepare to Evaluate

∴

x = (2 \cdot \frac{1463}{154}) - (13)

LAST Step Evaluate

∴

x = 6

Density Factor at given Number of Sleepers per km Formula Elements

Variables

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

Number of Sleepers per Km

Number of Sleepers per Km is the total number of sleepers required in one km.

Symbol: N_s

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Sleepers per Km

Number of Rails per Km

Number of Rails per Km is the total number of rails in one kilometer or 1000m.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Rails per Km

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

Other Formulas to find Density Factor

Go Density Factor using Sleeper Density

x = S.D. - L

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 Sleeper Density

S.D. = L + x

How to Evaluate Density Factor at given Number of Sleepers per km?

Density Factor at given Number of Sleepers per km evaluator uses Density Factor = (2*Number of Sleepers per Km/Number of Rails per Km)-(Length of Single Rail) to evaluate the Density Factor, Density Factor at given Number of Sleepers per km formula 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 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. Density Factor is denoted by x symbol.

How to evaluate Density Factor at given Number of Sleepers per km using this online evaluator? To use this online evaluator for Density Factor at given Number of Sleepers per km, enter Number of Sleepers per Km (N_s), Number of Rails per Km (N) & Length of Single Rail (L) and hit the calculate button.

FAQs on Density Factor at given Number of Sleepers per km

What is the formula to find Density Factor at given Number of Sleepers per km?

The formula of Density Factor at given Number of Sleepers per km is expressed as Density Factor = (2*Number of Sleepers per Km/Number of Rails per Km)-(Length of Single Rail). Here is an example- 6 = (2*1463/154)-(13).

How to calculate Density Factor at given Number of Sleepers per km?

With Number of Sleepers per Km (N_s), Number of Rails per Km (N) & Length of Single Rail (L) we can find Density Factor at given Number of Sleepers per km using the formula - Density Factor = (2*Number of Sleepers per Km/Number of Rails per Km)-(Length of Single Rail).

What are the other ways to Calculate Density Factor?

Here are the different ways to Calculate Density Factor-

Density Factor=Sleeper Density-Length of Single Rail

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Density Factor at given Number of Sleepers per km Formula

​GoDensity Factor using Sleeper Density Formula

Density Factor at given Number of Sleepers per km Example

Density Factor at given Number of Sleepers per km Solution

Density Factor at given Number of Sleepers per km Formula Elements

Other Formulas to find Density Factor

Other formulas in Materials Required per km of Railway Track category

How to Evaluate Density Factor at given Number of Sleepers per km?

FAQs on Density Factor at given Number of Sleepers per km

Variable Name

GoDensity Factor using Sleeper Density Formula