GATE CE 2017 Set 2 — Question 25
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Transportation Engineering → Horizontal & Vertical Alignment → Gradient
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Question
While aligning a hill road with a ruling gradient of 6%, a horizontal curve of radius 50 m is encountered. The grade compensation (in percentage, up to two decimal places) to be provided for this case would be ___________
Correct answer
1.49 to 1.51
Solution
Grade compensation (GC) is provided on horizontal curves in hill roads to reduce the tractive effort required by vehicles. According to IRC standards:
Radius () = 50 m
Ruling Gradient = 6%Step 1: Calculate Grade Compensation values.
Step 2: Determine the compensation to be provided.
The grade compensation provided is the minimum of the two calculated values:
Step 3: Check the compensated gradient.
Compensated Gradient = Ruling Gradient - Grade Compensation
Compensated Gradient = According to IRC, the compensated gradient should not be less than 4%. Since , the full compensation of 1.5% can be provided.Final Answer: 1.50
1.Grade Compensation, %
2.Maximum Grade Compensation, %
Given:Radius () = 50 m
Ruling Gradient = 6%Step 1: Calculate Grade Compensation values.
Step 2: Determine the compensation to be provided.
The grade compensation provided is the minimum of the two calculated values:
Step 3: Check the compensated gradient.
Compensated Gradient = Ruling Gradient - Grade Compensation
Compensated Gradient = According to IRC, the compensated gradient should not be less than 4%. Since , the full compensation of 1.5% can be provided.Final Answer: 1.50
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