Force to open a rectangular gate: A rectangular gate (5 m x 4 m) covers the end of a circular 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, and neglect friction between the bottom on the gate and the pipe wall. Assume water temperature is 10 degrees Celsius. D 8 m F Water Hinge 5 m Atmospheric pressure 4 m diameter

Structural Analysis
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Chapter2: Loads On Structures
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Force to open a rectangular gate:
A rectangular gate (5 m x 4 m) covers the end of a circular 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, and neglect friction between the bottom on the gate and the pipe wall.
Assume water temperature is 10 degrees Celsius.
8 m
F
Water
K
Hinge
5 m
Atmospheric
pressure
4 m diameter
Transcribed Image Text:Force to open a rectangular gate: A rectangular gate (5 m x 4 m) covers the end of a circular 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, and neglect friction between the bottom on the gate and the pipe wall. Assume water temperature is 10 degrees Celsius. 8 m F Water K Hinge 5 m Atmospheric pressure 4 m diameter
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