Figure 3 shows the plan view (top view) of a pair of gates which are hinged at the water channel walls. The channel has a depth of 9 m and a width of 40 m. When the gates close, the gate edges are forced together at the center of the channel by water pressure. While neglecting the weight of the gates determine: (a) The force exerted by the water on one gate (b) The magnitude and direction of the force components exerted by the gate in part (a) on the hinge. -Hinge

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter8: Centroids And Distributed Loads
Section: Chapter Questions
Problem 8.122P: The 12-ft wide quarter-circular gate AB is hinged at A. Determine the contact force between the gate...
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Figure 3 shows the plan view (top view) of a pair of gates which are hinged at the water channel walls.
The channel has a depth of 9 m and a width of 40 m. When the gates close, the gate edges are forced
together at the center of the channel by water pressure. While neglecting the weight of the gates
determine:
(a) The force exerted by the water on one gate
(b) The magnitude and direction of the force components exerted by the gate in part (a) on the hinge.
-Hinge
Water
20°
Transcribed Image Text:Figure 3 shows the plan view (top view) of a pair of gates which are hinged at the water channel walls. The channel has a depth of 9 m and a width of 40 m. When the gates close, the gate edges are forced together at the center of the channel by water pressure. While neglecting the weight of the gates determine: (a) The force exerted by the water on one gate (b) The magnitude and direction of the force components exerted by the gate in part (a) on the hinge. -Hinge Water 20°
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