Question

A radial gate, 2 m long, hinged about a horizontal axis, closes the rectangular sluice of a control dam by the application of a counter-weight W (see fig. 2.33). Determine (i) the total hydrostatic thrust and its location on the gate when the storage depth is 4 m , and (ii) for the gate to be stable, the counterweight W. Explain what will happen if the storage increases beyond 4 m . FIGURE CAN'T COPY.

   A radial gate, 2 m long, hinged about a horizontal axis, closes the rectangular sluice of a control dam by the application of a counter-weight W (see fig. 2.33).
Determine (i) the total hydrostatic thrust and its location on the gate when the storage depth is 4 m , and (ii) for the gate to be stable, the counterweight W. Explain what will happen if the storage increases beyond 4 m .
FIGURE CAN'T COPY.
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Civil Engineering Hydraulics: Essential Theory with Worked Examples
Civil Engineering Hydraulics: Essential Theory with Worked Examples
R. E. Featherstone,… 3rd Edition
Chapter 2, Problem 8 ↓

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** The hydrostatic thrust (F) on a submerged surface can be calculated using the formula: \[ F = \rho g h_c A \] where: - \( \rho \) = density of water (approximately \( 1000 \, \text{kg/m}^3 \)) - \( g \) = acceleration due to gravity (approximately \(  Show more…

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A radial gate, 2 m long, hinged about a horizontal axis, closes the rectangular sluice of a control dam by the application of a counter-weight W (see fig. 2.33). Determine (i) the total hydrostatic thrust and its location on the gate when the storage depth is 4 m , and (ii) for the gate to be stable, the counterweight W. Explain what will happen if the storage increases beyond 4 m . FIGURE CAN'T COPY.
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