Multiple choice

While designing a hill road with a ruling gradient of 6%, if a sharp horizontal curve of 50 m radius is encountered, the compensated gradient at the curve as per the Indian Roads Congress specifications should be

  1. 4.4%

  2. 4.75%

  3. 5.0%

  4. 5.25%
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A Correct answer
Explanation

Gradient compensation = (30 + R) / R. Here, (30 + 50) / 50 = 80/50 = 1.6%. Max compensation = 75/R = 75/50 = 1.5%. Since 1.6% > 1.5%, use 1.5%. Compensated gradient = 6% - 1.5% = 4.5%. The closest option is 4.4%.

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