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The 4-m–diameter circular gate of the figure is located in the incline wall of a large reservoir containing water (γ = 9.80 kN/m3). The gate is mounted on a shaft along its horizontal diameter, and the water depth is 10 m above the shaft. Determine the moment in kN-m that would have to be applied to the shaft to open the gate.
Correct answer is 'Range: 98 to 99'. Can you explain this answer?
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Verified Answer
The 4-m–diameter circular gate of the figure is located in the inclin...
Hydrostatic forces on the circular gate
= ρ × g × hC × Area
= 103 × g × 10 × π / 4× 42
= 1232.76 kN
yP = IxC / A × yC + yC = πD4 /64 /π 4D2 × 11.54 + 11.54
= 11.62 m
(Note: this is ?? and not the depth from free surface)
Fp = 1232.76 kN acts 0.08 m Below the centroid, measured along the plane of the gate The moment required to turn the gate about the shaft = Fp × (yp − yc)
= 1232.76 × (11.62 − 11.54) × 103
= 98.62 kN-m
Most Upvoted Answer
The 4-m–diameter circular gate of the figure is located in the inclin...
Hydrostatic forces on the circular gate
= ρ × g × hC × Area
= 103 × g × 10 × π / 4× 42
= 1232.76 kN
yP = IxC / A × yC + yC = πD4 /64 /π 4D2 × 11.54 + 11.54
= 11.62 m
(Note: this is ?? and not the depth from free surface)
Fp = 1232.76 kN acts 0.08 m Below the centroid, measured along the plane of the gate The moment required to turn the gate about the shaft = Fp × (yp − yc)
= 1232.76 × (11.62 − 11.54) × 103
= 98.62 kN-m
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Community Answer
The 4-m–diameter circular gate of the figure is located in the inclin...
Hydrostatic forces on the circular gate
= ρ × g × hC × Area
= 103 × g × 10 × π / 4× 42
= 1232.76 kN
yP = IxC / A × yC + yC = πD4 /64 /π 4D2 × 11.54 + 11.54
= 11.62 m
(Note: this is ?? and not the depth from free surface)
Fp = 1232.76 kN acts 0.08 m Below the centroid, measured along the plane of the gate The moment required to turn the gate about the shaft = Fp × (yp − yc)
= 1232.76 × (11.62 − 11.54) × 103
= 98.62 kN-m
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The 4-m–diameter circular gate of the figure is located in the incline wall of a large reservoir containing water (γ = 9.80 kN/m3). The gate is mounted on a shaft along its horizontal diameter, and the water depth is 10 m above the shaft. Determine the moment in kN-m that would have to be applied to the shaft to open the gate.Correct answer is 'Range: 98 to 99'. Can you explain this answer?
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The 4-m–diameter circular gate of the figure is located in the incline wall of a large reservoir containing water (γ = 9.80 kN/m3). The gate is mounted on a shaft along its horizontal diameter, and the water depth is 10 m above the shaft. Determine the moment in kN-m that would have to be applied to the shaft to open the gate.Correct answer is 'Range: 98 to 99'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The 4-m–diameter circular gate of the figure is located in the incline wall of a large reservoir containing water (γ = 9.80 kN/m3). The gate is mounted on a shaft along its horizontal diameter, and the water depth is 10 m above the shaft. Determine the moment in kN-m that would have to be applied to the shaft to open the gate.Correct answer is 'Range: 98 to 99'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The 4-m–diameter circular gate of the figure is located in the incline wall of a large reservoir containing water (γ = 9.80 kN/m3). The gate is mounted on a shaft along its horizontal diameter, and the water depth is 10 m above the shaft. Determine the moment in kN-m that would have to be applied to the shaft to open the gate.Correct answer is 'Range: 98 to 99'. Can you explain this answer?.
The 4-m–diameter circular gate of the figure is located in the incline wall of a large reservoir containing water (γ = 9.80 kN/m3). The gate is mounted on a shaft along its horizontal diameter, and the water depth is 10 m above the shaft. Determine the moment in kN-m that would have to be applied to the shaft to open the gate.Correct answer is 'Range: 98 to 99'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The 4-m–diameter circular gate of the figure is located in the incline wall of a large reservoir containing water (γ = 9.80 kN/m3). The gate is mounted on a shaft along its horizontal diameter, and the water depth is 10 m above the shaft. Determine the moment in kN-m that would have to be applied to the shaft to open the gate.Correct answer is 'Range: 98 to 99'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The 4-m–diameter circular gate of the figure is located in the incline wall of a large reservoir containing water (γ = 9.80 kN/m3). The gate is mounted on a shaft along its horizontal diameter, and the water depth is 10 m above the shaft. Determine the moment in kN-m that would have to be applied to the shaft to open the gate.Correct answer is 'Range: 98 to 99'. Can you explain this answer?.
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