On a Broad Gauge line with a ruling gradient of 1 in 200, the maximum steepest gradient permissible along a 2.5° curve is___________________?
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Answer: A. 1 in 250
Explanation
Curve compensation reduces the ruling gradient to account for extra resistance on railway curves. For a 2.5 degree curve on a 1 in 200 ruling gradient, the calculated compensation results in 1 in 250. Subtracting the compensation value from the ruling gradient yields the final adjusted grade. Ruling gradients represent the steepest slope permitted on a specific section of a railway line. Curves increase total train resistance, necessitating a gentler gradient to prevent locomotive stalling. Standard railway engineering formulas calculate curve compensation based on curve degree and track gauge.
Route surveyors apply curve compensation carefully during mountainous railway construction projects. Proper gradient adjustments ensure heavy freight trains maintain consistent speeds on upward slopes. Ignoring curve compensation can cause severe operational delays and require auxiliary locomotive assistance. Gradients like 1 in 222 or 1 in 235 represent incorrect mathematical compensation calculations. A steeper gradient such as 1 in 275 would exceed necessary safety margins for this curve degree. Uncompensated gradients on sharp curves frequently cause excessive locomotive wheel slippage.
- Subject
- Engineering
- Category
- Civil Engineering
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- —
- Difficulty
- medium
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