Number of Sleepers per km Solution

STEP 0: Pre-Calculation Summary
Formula Used
Number of Sleepers per Km = (Length of Single Rail+Density Factor)*(Number of Rails per Km)/2
Ns = (L+x)*(N)/2
This formula uses 4 Variables
Variables Used
Number of Sleepers per Km - Number of Sleepers per Km is the total number of sleepers required in one km.
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.
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.
Number of Rails per Km - Number of Rails per Km is the total number of rails in one kilometer or 1000m.
STEP 1: Convert Input(s) to Base Unit
Length of Single Rail: 13 Meter --> 13 Meter No Conversion Required
Density Factor: 6 --> No Conversion Required
Number of Rails per Km: 154 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ns = (L+x)*(N)/2 --> (13+6)*(154)/2
Evaluating ... ...
Ns = 1463
STEP 3: Convert Result to Output's Unit
1463 --> No Conversion Required
FINAL ANSWER
1463 <-- Number of Sleepers per Km
(Calculation completed in 00.004 seconds)

Credits

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Created by Md Anisur Rahman
Indian Institute of Technology Patna (IIT Patna), Patna, Bihar
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Verified by Rachana B V
The National Institute of Engineering (NIE), Mysuru
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Materials Required per km of Railway Track Calculators

Weight of Rails per km
​ LaTeX ​ Go Weight of Rails per Km = Number of Rails per Km*Length of Single Rail*Weight of Rail per Meter/1000
Number of Sleepers per km
​ LaTeX ​ Go Number of Sleepers per Km = (Length of Single Rail+Density Factor)*(Number of Rails per Km)/2
Sleeper Density
​ LaTeX ​ Go Sleeper Density = Length of Single Rail+Density Factor
Number of Rails per km
​ LaTeX ​ Go Number of Rails per Km = (1000/Length of Single Rail)*2

Number of Sleepers per km Formula

​LaTeX ​Go
Number of Sleepers per Km = (Length of Single Rail+Density Factor)*(Number of Rails per Km)/2
Ns = (L+x)*(N)/2

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 kilometre track.

How to Calculate Number of Sleepers per km?

Number of Sleepers per km calculator uses Number of Sleepers per Km = (Length of Single Rail+Density Factor)*(Number of Rails per Km)/2 to calculate the Number of Sleepers per Km, Number of Sleepers per km formula is defined as total number of sleepers required in one km. Number of Sleepers per Km is denoted by Ns symbol.

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

FAQ

What is Number of Sleepers per km?
Number of Sleepers per km formula is defined as total number of sleepers required in one km and is represented as Ns = (L+x)*(N)/2 or Number of Sleepers per Km = (Length of Single Rail+Density Factor)*(Number of Rails per Km)/2. 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, 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 & Number of Rails per Km is the total number of rails in one kilometer or 1000m.
How to calculate Number of Sleepers per km?
Number of Sleepers per km formula is defined as total number of sleepers required in one km is calculated using Number of Sleepers per Km = (Length of Single Rail+Density Factor)*(Number of Rails per Km)/2. To calculate Number of Sleepers per km, you need Length of Single Rail (L), Density Factor (x) & Number of Rails per Km (N). With our tool, you need to enter the respective value for Length of Single Rail, Density Factor & Number of Rails per Km and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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