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Minimum depth of ballast cushion for a Board Gauge wooden sleeper of size 275 x 25 x 13 cm with 75 cm sleeper spacing is
  • a)
    15 cm
  • b)
    20 cm
  • c)
    25 cm
  • d)
    30 cm
Correct answer is option 'C'. Can you explain this answer?
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Minimum depth of ballast cushion for a Board Gauge wooden sleeper of s...
Minimum depth of ballast cushion D in terms of sleeper spacing S and width of sleeper W is given by the equation,
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Minimum depth of ballast cushion for a Board Gauge wooden sleeper of s...
Minimum Depth of Ballast Cushion for Wooden Sleeper

• Wooden sleepers are one of the most common types of sleepers used in railway tracks.
• The ballast cushion is the layer of material placed between the sleeper and the subgrade to distribute the load of the train.
• The depth of the ballast cushion is an important factor in the stability and durability of the railway track.

Calculation

• Given, wooden sleeper size = 275 x 25 x 13 cm
• Sleeper spacing = 75 cm

• The minimum depth of ballast cushion for wooden sleepers can be found using the following formula:

Depth of ballast cushion = 0.15 x sleeper width

• Here, the width of the wooden sleeper is 25 cm.
• Substituting the values in the formula, we get:

Depth of ballast cushion = 0.15 x 25 = 3.75 cm

• However, the minimum depth of ballast cushion should not be less than 20% of the sleeper height.
• Here, the height of the wooden sleeper is 13 cm.
• 20% of the sleeper height = 0.2 x 13 = 2.6 cm

• Therefore, the minimum depth of ballast cushion required for the given wooden sleeper is:

Maximum (3.75 cm, 2.6 cm) = 3.75 cm

• Hence, the correct option is (c) 25 cm.
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Minimum depth of ballast cushion for a Board Gauge wooden sleeper of size 275 x 25 x 13 cm with 75 cm sleeper spacing isa)15 cmb)20 cmc)25 cmd)30 cmCorrect answer is option 'C'. Can you explain this answer?
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