. In the set-up shown, a rectangular gate, ABCD, is used to store layers of oil and water. The weight of the gate is 4 kN and the force exerted by the stopper on the gate is measured to be 80 kN. Sketch the pressure diagram on the rectangular gate. No need to put the expressions for pressures. Draw the free body diagram of the rectangular gate. Label all external forces. Calculate the moment done by the resultant hydrostatic force about the hinge. What is the pressure on the oil-water interface? Determine the weight of the block. Pressurized air Block 0.5 m Oil, SG = 0.8 1m 0.8 m Water Hinge 1.2 m diameter SG = 1.26 B. 2.4 m 130 degrees stopper

International Edition---engineering Mechanics: Statics, 4th Edition
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Chapter8: Centroids And Distributed Loads
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1. In the set-up shown, a rectangular gate, ABCD, is used to store layers of oil and water. The
weight of the gate is 4 kN and the force exerted by the stopper on the gate is measured to
be 80 kN.
Sketch the pressure diagram on the rectangular gate. No need to put the
expressions for pressures.
Draw the free body diagram of the rectangular gate. Label all external forces.
Calculate the moment done by the resultant hydrostatic force about the hinge.
What is the pressure on the oil-water interface?
Determine the weight of the block.
Pressurized air
Block
0.5 m
......
Oil, SG = 0.8
1 m
......
0.8 m
Water
Hinge
1.2
SG = 1.26
2.4 m
130 degrees
stopper
2 m
Transcribed Image Text:1. In the set-up shown, a rectangular gate, ABCD, is used to store layers of oil and water. The weight of the gate is 4 kN and the force exerted by the stopper on the gate is measured to be 80 kN. Sketch the pressure diagram on the rectangular gate. No need to put the expressions for pressures. Draw the free body diagram of the rectangular gate. Label all external forces. Calculate the moment done by the resultant hydrostatic force about the hinge. What is the pressure on the oil-water interface? Determine the weight of the block. Pressurized air Block 0.5 m ...... Oil, SG = 0.8 1 m ...... 0.8 m Water Hinge 1.2 SG = 1.26 2.4 m 130 degrees stopper 2 m
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