A gate having the shape shown in Figure 1.11 is located in the vertical side of an open tank containing water. The gate is mounted on a horizontal shaft. When the water level is at the top of the gate, determine the magnitude of the fluid force on the rectangular portion of the gate above the shaft and the magnitude of the fluid force on the semicircular portion of the gate below the shaft. For this same fluid depth determine the moment of the force acting on the semicircular portion of the gate with respect to an axis. Answer: 1060 kN (rectangle), 1010 kN (semicircle), 1.37 x 106 N.m Water Shaft, 3m Side view of gate 6 m

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
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A gate having the shape shown in Figure 1.11 is located in the vertical side of an open
tank containing water. The gate is mounted on a horizontal shaft.
When the water level is at the top of the gate, determine the magnitude of the fluid force
on the rectangular portion of the gate above the shaft and the magnitude of the fluid force
on the semicircular portion of the gate below the shaft.
For this same fluid depth determine the moment of the force acting on the semicircular
portion of the gate with respect to an axis.
Answer: 1060 kN (rectangle), 1010 kN (semicircle), 1.37 x 106 N.m
Water
Shaft
3 m
Side view
of gate
Figure 1.11
6 m
Transcribed Image Text:A gate having the shape shown in Figure 1.11 is located in the vertical side of an open tank containing water. The gate is mounted on a horizontal shaft. When the water level is at the top of the gate, determine the magnitude of the fluid force on the rectangular portion of the gate above the shaft and the magnitude of the fluid force on the semicircular portion of the gate below the shaft. For this same fluid depth determine the moment of the force acting on the semicircular portion of the gate with respect to an axis. Answer: 1060 kN (rectangle), 1010 kN (semicircle), 1.37 x 106 N.m Water Shaft 3 m Side view of gate Figure 1.11 6 m
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