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A 3-m-high, 5-m-wide rectangular gate is hinged at the top edge at A and is restrained by a fixed ridge at B. Determine the hydrostatic force exerted on the gate by the 5-m-high water and the location of the pressure center.

Question-AnswerCategory: Fluid MechanicsA 3-m-high, 5-m-wide rectangular gate is hinged at the top edge at A and is restrained by a fixed ridge at B. Determine the hydrostatic force exerted on the gate by the 5-m-high water and the location of the pressure center.
DINANATH asked 4 months ago

A 3-m-high, 5-m-wide rectangular gate is hinged at the top edge at A and is restrained by a fixed ridge
at B. Determine the hydrostatic force exerted on the gate by the 5-m-high water and the location of the
pressure center.

1 Answers
Tom answered 4 months ago

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The total force on gate = ρg hc × !rea = 103 × g × (2 + 1.5) × (3 × 6) = 618.03 kN The center of Pressure will be at the center of the pressure diagram
7f957a02 b208 4993 aedf c6aacb2b1e4c lg.png?w=576&dpr=2
1 / 3× (2 × 5ρg + 2ρg) / 7ρg × 3 = 12 / 7 = 1.714 m
So the center of pressure is (2 + 1.714)
= 3.714 m from the free surface

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