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2. A circular gate is w m wide. a) Find the magnitude and direction of the resultant force due to the fluid acting on the gate R Hinge

2. A circular gate is w m wide. a) Find the magnitude and direction of the resultant force due to the fluid acting on the gate R Hinge

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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the angle that should be 57.52 degrees at the end

**Problem Statement:** 2. A circular gate is \( w \, \text{m} \) wide. a) Find the magnitude and direction of the resultant force due to the fluid acting on the gate. **Diagram Description:** The diagram shows a circular segment submerged in a fluid. The segment appears to be part of a circle with radius \( R \), with the circular arc facing downwards. The top of the segment is labeled as points A and C, where point C is connected to a hinge. The straight segment of the submerged section joins point C to another point B, forming a right angle at the hinge. The region below the arc is shaded in blue, likely indicating the area in contact with the fluid. The entire cross-section represents a vertical slice of the gate that is used to find the force exerted by the fluid on the gate. **Explanation:** The purpose of the problem is to determine the force exerted by the fluid on the gate by considering the submerged area and the properties of the fluid. The force will depend on factors such as the depth of the gate and the fluid density.
Transcribed Image Text:**Problem Statement:** 2. A circular gate is \( w \, \text{m} \) wide. a) Find the magnitude and direction of the resultant force due to the fluid acting on the gate. **Diagram Description:** The diagram shows a circular segment submerged in a fluid. The segment appears to be part of a circle with radius \( R \), with the circular arc facing downwards. The top of the segment is labeled as points A and C, where point C is connected to a hinge. The straight segment of the submerged section joins point C to another point B, forming a right angle at the hinge. The region below the arc is shaded in blue, likely indicating the area in contact with the fluid. The entire cross-section represents a vertical slice of the gate that is used to find the force exerted by the fluid on the gate. **Explanation:** The purpose of the problem is to determine the force exerted by the fluid on the gate by considering the submerged area and the properties of the fluid. The force will depend on factors such as the depth of the gate and the fluid density.
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