If the section factor and the hydraulic depth for a rectangular channel are 40 m and 4 m, respectively, then calculate the top width of the channel.

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SSC JE Civil 9 Oct 2023 Shift 1 Official Paper-I
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  1. 5 m
  2. 3 m
  3. 4 m
  4. 6 m

Answer (Detailed Solution Below)

Option 1 : 5 m
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Detailed Solution

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Section factor:

  • Section factor (Z) for critical flow computation: It is the product of the wetted area and the square root of the hydraulic depth, D

Z = A × √ D

40 = A × √4

A = 20 m2

Hydraulic depth (D) = A/T

Where A is the area of cross-section and T is the top width of the channel

4 = 20/T

T = 5 m

Additional Information Section factor: Section factor, Z, for uniform flow computation: It is the product of the wetted area and the hydraulic radius raised to the two-thirds power.

Z = A × R2/3

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