The figure shows a side view of a rectangular gate made of a uniform plate of he
ID: 1861226 • Letter: T
Question
The figure shows a side view of a rectangular gate made of a uniform plate of height 4 m and width 1 m, hinged about a horizontal axis through its center of gravity, G. Depth of water on the upstream side of the plate, h, is 3 m.
a) Determine the resultant force of the water on the gate.
b) Determine at what water depth this force acts on the plate.
c) Determine the minimum force (kN) that must be applied at A to keep the gate in the vertical position
Use 9800 N/m3 for the specific weight of water here.
The figure shows a side view of a rectangular gate made of a uniform plate of height 4 m and width 1 m, hinged about a horizontal axis through its center of gravity, G. Depth of water on the upstream side of the plate, h, is 3 m. Determine the resultant force of the water on the gate. Determine at what water depth this force acts on the plate. Determine the minimum force (kN) that must be applied at A to keep the gate in the vertical position Use 9800 N/m3 for the specific weight of water here.Explanation / Answer
a) Hydraulic force on gate, F = (3 m x 1 m)(9.8 kN/m3)(3 m/2) = 44.1 kN
b) Moment of the hydraulic force about the hinge, F x (2 m
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