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GATE 2024 AG – Question 59

Soil and Water Conservation Engineering · Soil and Water Erosion · 2 marks · Numerical answer

Contour bunds on a 3% slope in a semiarid region are spaced30 m horizontally. The10-year daily maximum effective rainfall is 20 cm. Find design storage height of the bund in metres, to two decimals.

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Correct answer: 0.58 to 0.62

Explanation

Per metre along a contour bund, the retained water volume is rainfall times contributing horizontal spacing,$V=.20(30)=6$ m². A level water surface over slope S=.03 gives triangular ponded cross-section area $h^2/(2S)$. Set $h^2/(.06)=6$,so $h=\sqrt{.36}=\mathbf{.60}$ m. The ponding length h/S=20 m is below the30 m spacing. This gives hydraulic storage height; construction freeboard is not supplied.

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