Calculate the number of sleepers required for 1 km railway track, it sleeper density is \((\text{n}+4)\) for broad gauge and the length of one rail for a broad gauge is 13 m .

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JKSSB JE (Civil) Official Paper (Held On: 19 Nov, 2023)
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  1. 437
  2. 678
  3. 1308
  4. 17000

Answer (Detailed Solution Below)

Option 3 : 1308
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Detailed Solution

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Concept:

Sleeper density is denoted as n + x.

Here n + x denotes the number of sleepers to be used for one rail length.

n = length of one rail.

Calculations:

Given:

  • Gauge (G) = Broad Gauge (BG) = 1.676 m

  • Sleeper density =, where n = length of one rail in meters

  • Length of one rail = 13 m

  • Track length = 1 km = 1000 m

So, sleeper density = 13 + 4 = 17 sleepers per rail

Number of rails in 1 km \(=\frac{1000}{13}=76.92rails\)

Total number of sleepers\(=76.92\times17=1308 \) sleepers

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