Situation 11. A rectangular vertical gate, 0.60 m wide and 2.45 m high and weighing 1.78 kN, is hinged at the bottom. There is water on both sides of the gate, 4.9 m on one side and 1.80 m on the other. The gate, however, is held in place by a horizontal force F applied at the top of the gate. Under the above conditions, determine the horizontal force F and the amount and direction of the reaction at the hinge. Assume weight of water to be 9.81 kN/cu.m. 0.60 m 2.45 m 2.45 m W.S. BA 1.78 kN P₁ hinge F water surface -P₂ 1.80 m
Situation 11. A rectangular vertical gate, 0.60 m wide and 2.45 m high and weighing 1.78 kN, is hinged at the bottom. There is water on both sides of the gate, 4.9 m on one side and 1.80 m on the other. The gate, however, is held in place by a horizontal force F applied at the top of the gate. Under the above conditions, determine the horizontal force F and the amount and direction of the reaction at the hinge. Assume weight of water to be 9.81 kN/cu.m. 0.60 m 2.45 m 2.45 m W.S. BA 1.78 kN P₁ hinge F water surface -P₂ 1.80 m
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
![Situation 11. A rectangular vertical gate, 0.60 m wide and 2.45
m high and weighing 1.78 kN, is hinged at the bottom. There is
water on both sides of the gate, 4.9 m on one side and 1.80 m
on the other. The gate, however, is held in place by a horizontal
force F applied at the top of the gate. Under the above
conditions, determine the horizontal force F and the amount
and direction of the reaction at the hinge. Assume weight of
water to be 9.81 kN/cu.m.
0.60 m
2.45 m
2.45 m
W.S.
BA
1.78 kN
P₁
hinge
F
water surface
-P₂
1.80 m](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1365d3f1-ac26-4624-979a-1c8016b24a28%2Ff4483189-2703-4668-a8a5-2997f34427bc%2Fbc0vpnb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Situation 11. A rectangular vertical gate, 0.60 m wide and 2.45
m high and weighing 1.78 kN, is hinged at the bottom. There is
water on both sides of the gate, 4.9 m on one side and 1.80 m
on the other. The gate, however, is held in place by a horizontal
force F applied at the top of the gate. Under the above
conditions, determine the horizontal force F and the amount
and direction of the reaction at the hinge. Assume weight of
water to be 9.81 kN/cu.m.
0.60 m
2.45 m
2.45 m
W.S.
BA
1.78 kN
P₁
hinge
F
water surface
-P₂
1.80 m
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