An elliptical gate covers the end of a pipe 4 m in diameter. If the gate is hinged at the top., what normal force F is required to open the gate when water is 8 m deep above the top of the pipe and the pipe is open to the atmosphere on the other side? Neglect the weight of the gate.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
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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An elliptical gate covers the end of a pipe 4 m in diameter. If the gate is hinged at the top, what
normal force F is required to open the gate when water is 8 m deep above the top of the pipe and the
pipe is open to the atmosphere on the other side? Neglect the weight of the gate.
Water
8 m
Hinge
5 m.
Atmospheric
pressure
4 m diameter
Transcribed Image Text:Q3/ An elliptical gate covers the end of a pipe 4 m in diameter. If the gate is hinged at the top, what normal force F is required to open the gate when water is 8 m deep above the top of the pipe and the pipe is open to the atmosphere on the other side? Neglect the weight of the gate. Water 8 m Hinge 5 m. Atmospheric pressure 4 m diameter
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