If the ruling gradient is 1 in 20 and there is also a horizontal curve of radius 76 m, then the compensated grade should be:

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OSSC JE Civil Mains (Re-Exam) Official Paper: (Held On: 3rd Sept 2023)
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  1. 3.0%
  2. 4.0%
  3. 5.0%
  4. 5.5%

Answer (Detailed Solution Below)

Option 2 : 4.0%
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Detailed Solution

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Concept:

Grade Compensation:

  • Grade Compensation is (30+R)/R % where R is the Horizontal curve.
  • But Maximum Compensation is limited to 75/R %.

Calculation:

Since 1 in 20 is higher than 4% So as per IRC, Compensation is required.

Hence (30+76)/76 = 1.39 %.
Ruling gradient = 1 in 20 = 5 %.
Grade Compensation = 1.39 % 

Compensated gradient 

= Ruling Gradient− Grade Compensation 

= 5% − 1.39 % = 3.6%
Hence Compensated gradient on the curve is  3.6%. which is < 4 %, so compensated gradient will be restricted to 4 %

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