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A semicircular gate (A-B) is hinged along the shaft at the bottom (B) of a water reservoir (density = 1000 kg/m³). Calculate the holding force FA that closes the gate H=25 ft R=10 ft A B Gate Side View

A semicircular gate (A-B) is hinged along the shaft at the bottom (B) of a water reservoir (density = 1000 kg/m³). Calculate the holding force FA that closes the gate H=25 ft R=10 ft A B Gate Side View

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Solve using the spefic weight of water which is 62.4 lb/ft^3

**Problem Description:** A semicircular gate (A-B) is hinged along the shaft at the bottom (B) of a water reservoir. The density of the water is 1000 kg/m³. Calculate the holding force \( F_A \) that closes the gate. **Parameters:** - Height of water above hinge, \( H = 25 \) ft - Radius of the semicircular gate, \( R = 10 \) ft **Diagram Explanation:** 1. **Side View:** - The diagram presents a side view of the semicircular gate. - The gate is represented vertically from point A (top) to point B (bottom) with the hinge located at point B. - The water level is shown with a horizontal line above the gate. - The distance from the water level to point B is labeled as \( H = 25 \) ft. - The radius of the gate is labeled as \( R = 10 \) ft. Use this information to calculate the necessary force to close the gate, considering the hydrostatic pressure exerted by the water on the gate.
Transcribed Image Text:**Problem Description:** A semicircular gate (A-B) is hinged along the shaft at the bottom (B) of a water reservoir. The density of the water is 1000 kg/m³. Calculate the holding force \( F_A \) that closes the gate. **Parameters:** - Height of water above hinge, \( H = 25 \) ft - Radius of the semicircular gate, \( R = 10 \) ft **Diagram Explanation:** 1. **Side View:** - The diagram presents a side view of the semicircular gate. - The gate is represented vertically from point A (top) to point B (bottom) with the hinge located at point B. - The water level is shown with a horizontal line above the gate. - The distance from the water level to point B is labeled as \( H = 25 \) ft. - The radius of the gate is labeled as \( R = 10 \) ft. Use this information to calculate the necessary force to close the gate, considering the hydrostatic pressure exerted by the water on the gate.
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