Question
Download Solution PDFThe length of one rail is 15 m and the number of sleepers per rail length is 22. Find the expression for sleeper density and also find the number of sleepers required for the construction of 525 m of track.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Sleeper density:
- It is defined as the number of sleepers required under one rail length of a railway track.
- It is expressed as (M + x) where M is the length of one rail in meters and x is constant whose value varies from 3 to 6.
- In India generally, the sleeper density is taken as (M + 3) to (M + 6).
Calculation:
Given data:
Length of rail = 15 m
Number of sleepers per rail = 22
Expression for density =?
The number of sleepers required for 525 m track =?
Let, Sleeper density = n + x
22 = 15 + x
x = 7
Sleeper density = M + 7
Number of sleepers required for 525 m track = sleeper density × Number of rails on one side of the track
Number of sleepers required for 525 m track = (15 + 7) × (\({Length\, of\, track\over One\, rail\, length}\))
Number of sleepers required for 525 m track = 22× (\({525\over 15}\)) = 770
Number of sleepers required for 525 m track = 770
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