5. Gate AB as shown in the figure is 6 ft wide and weighs 2000 lb when submerged. It is hinged at B and rests against a smooth wall at A. Determine the water level h which will just cause the gate open. yw = 62.4 lb/ft³. Hint: Fleft > FRight water 8ft 5 ft 10 ft water 5. YR(right) = 4.259 from B parralle to the gate Take EMB F₁ = 3744(h+4) lb F₂ = 33696 lb YR(left) = 5-6.67/(h+4) h> 5.32 ft
5. Gate AB as shown in the figure is 6 ft wide and weighs 2000 lb when submerged. It is hinged at B and rests against a smooth wall at A. Determine the water level h which will just cause the gate open. yw = 62.4 lb/ft³. Hint: Fleft > FRight water 8ft 5 ft 10 ft water 5. YR(right) = 4.259 from B parralle to the gate Take EMB F₁ = 3744(h+4) lb F₂ = 33696 lb YR(left) = 5-6.67/(h+4) h> 5.32 ft
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Give the solution the answer is given.
![5. Gate AB as shown in the figure is 6 ft wide and weighs 2000 lb when submerged. It is hinged at B and rests
against a smooth wall at A. Determine the water level h which will just cause the gate open. yw = 62.4 lb/ft³.
Hint: Fleft > FRight
water
8ft
r=5ft
45°
45*
5 ft
5. YR(right) = 4.259 from B parralle to the gate
Take EMB
F₁ = 3744(h+4) lb
F₂ = 33696 lb
YR(left) = 5-6.67/(h+4)
h> 5.32 ft
10 ft
6. Curve wall ABC is a quarter circle 9ft wide. Compute for the resultant force. yw = 62.4 lb/ft³
6. FL= 14040 lb
Fy = 4007 lb
FR = 14600.6 lb
0 = 15.93 deg
water
Water
H](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0d840f28-aca4-4665-ac55-96187ddb7fbc%2F5ff418c7-98ed-41c9-9ddf-ee45cd444969%2Ffqh6uyr_processed.png&w=3840&q=75)
Transcribed Image Text:5. Gate AB as shown in the figure is 6 ft wide and weighs 2000 lb when submerged. It is hinged at B and rests
against a smooth wall at A. Determine the water level h which will just cause the gate open. yw = 62.4 lb/ft³.
Hint: Fleft > FRight
water
8ft
r=5ft
45°
45*
5 ft
5. YR(right) = 4.259 from B parralle to the gate
Take EMB
F₁ = 3744(h+4) lb
F₂ = 33696 lb
YR(left) = 5-6.67/(h+4)
h> 5.32 ft
10 ft
6. Curve wall ABC is a quarter circle 9ft wide. Compute for the resultant force. yw = 62.4 lb/ft³
6. FL= 14040 lb
Fy = 4007 lb
FR = 14600.6 lb
0 = 15.93 deg
water
Water
H
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