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A concrete pipe of 6 m long is used to block flood water from the left to contaminate a pond of oil on the right. If the flood water has a specific gravity of SG=1.6 and the oil's SG=0.8, find the magnitude and direction of the resultant force.

A concrete pipe of 6 m long is used to block flood water from the left to contaminate a pond of oil on the right. If the flood water has a specific gravity of SG=1.6 and the oil's SG=0.8, find the magnitude and direction of the resultant force.

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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**Problem Statement:** 3. A concrete pipe of 6 m long is used to block flood water from the left to prevent contamination of a pond of oil on the right. If the flood water has a specific gravity of SG = 1.6 and the oil’s SG = 0.8, find the magnitude and direction of the resultant force. **Diagram Explanation:** The diagram is a side view of the scenario: - A circular section represents the concrete pipe, which is partially submerged in liquids. - On the left of the pipe, there's a representation of "Flood water," with a vertical measurement of 3 meters. - On the right of the pipe, there's "Oil," with a vertical measurement of 1.5 meters. - The relative heights of the liquids indicate the different pressure conditions on each side. **Concepts to Consider:** - Specific Gravity (SG) is the ratio of the density of a substance to the density of a reference substance. Here, flood water and oil have different SG values affecting the fluid pressure. - Fluid Pressure: Pressure exerted by a fluid at equilibrium due to the force of gravity. - Resultant Force: The net force acting on an object due to pressure differences. **Educational Insight:** Understanding how to calculate the resultant force on an object submerged in fluids with different densities is crucial for civil engineering and environmental protection scenarios like preventing contamination of water bodies.
Transcribed Image Text:**Problem Statement:** 3. A concrete pipe of 6 m long is used to block flood water from the left to prevent contamination of a pond of oil on the right. If the flood water has a specific gravity of SG = 1.6 and the oil’s SG = 0.8, find the magnitude and direction of the resultant force. **Diagram Explanation:** The diagram is a side view of the scenario: - A circular section represents the concrete pipe, which is partially submerged in liquids. - On the left of the pipe, there's a representation of "Flood water," with a vertical measurement of 3 meters. - On the right of the pipe, there's "Oil," with a vertical measurement of 1.5 meters. - The relative heights of the liquids indicate the different pressure conditions on each side. **Concepts to Consider:** - Specific Gravity (SG) is the ratio of the density of a substance to the density of a reference substance. Here, flood water and oil have different SG values affecting the fluid pressure. - Fluid Pressure: Pressure exerted by a fluid at equilibrium due to the force of gravity. - Resultant Force: The net force acting on an object due to pressure differences. **Educational Insight:** Understanding how to calculate the resultant force on an object submerged in fluids with different densities is crucial for civil engineering and environmental protection scenarios like preventing contamination of water bodies.
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