For most economical trapezoidal channel section:

This question was previously asked in
UKPSC JE Civil 8 May 2022 Official Paper-II
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  1. Hydraulic mean radius is equal to depth of flow
  2. Hydraulic mean radius is equal to half of depth of flow
  3. Bottom width is twice the depth of flow
  4. Bottom width is half of the depth of flow

Answer (Detailed Solution Below)

Option 2 : Hydraulic mean radius is equal to half of depth of flow
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UKPSC JE CE Full Test 1 (Paper I)
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Detailed Solution

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Explanation

For most economical Channel

S.No.

Shape

Hydraulic Radius (ym)

1

GATE CE FT 5 (SLOT 1) images Q14

Rectangular Channel

\({y_m} = \frac{y_0}{2}\)

2

GATE CE FT 5 (SLOT 1) images Q14b

Trapezoidal channel

\({y_m} = \frac{y_0}{2}\)

3

Triangular Channel

\({y_m} = \frac{y_0}{{2\sqrt 2 }}\)

4

896

Circular channel

\({y_m} = 0.29d\)
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