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What would be the admissible gradient for a BG track when the grade resistance coupled with a 4° curve resistance shall equal the resistance due to a ruling gradient of 1 in 200?

What would be the admissible gradient for a BG track when the grade resistance coupled with a 4° curve resistance shall equal the resistance due to a ruling gradient of 1 in 200? Correct Answer 0.34%

Concept:

Grade compensation for a railway track is given as follows-

For B.G = 0.04% per degree of curve

M.G = 0.03% per degree of curve

N.G = 0.02% per degree of curve

Compensated gradient = Ruling gradient- Grade compensation

Calculation:

Ruling gradient = 1 in 200

Degree of curve = 4° 

Grade compensation= (0.04x4)/100

 Compensated gradient = (1/200) - (0.16/100) = 0.34%

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