GATE CE 2024 Set 2 — Question 41
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Water Resources Engineering → Canals & Hydraulic Structures → Lined Canals
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Question
A round-bottom triangular lined canal is to be laid at a slope of in , to carry a discharge of . The side slopes of the canal cross-section are to be kept at . If Manning’s roughness coefficient is , the flow depth (in meters) will be in the range of
Correct answer
(A) 2.39 to 2.42
Solution
For a round-bottomed triangular section with side slope and radius :
Area and Wetted Perimeter , where .
.
Hydraulic radius .
Using Manning's equation:
.
This falls in the range 2.39 to 2.42.
Area and Wetted Perimeter , where .
.
Hydraulic radius .
Using Manning's equation:
.
This falls in the range 2.39 to 2.42.
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