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Q1. Find the horizontal thrust of the water on each foot of width of the sluice gate, given y₁ = 7 ft, y2 = 1.2 ft, and y3 = 1.4 ft. Neglect friction Water Gate

Q1. Find the horizontal thrust of the water on each foot of width of the sluice gate, given y₁ = 7 ft, y2 = 1.2 ft, and y3 = 1.4 ft. Neglect friction Water Gate

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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Please show all steps to solve the problem and include a free body diagram if necessary. Subject is fluid mechanics
**Question 1:** Find the horizontal thrust of the water on each foot of width of the sluice gate, given \( y_1 = 7 \, \text{ft}, y_2 = 1.2 \, \text{ft}, \text{and} \, y_3 = 1.4 \, \text{ft}. \) Neglect friction. **Diagram Explanation:** The diagram shows a side view of a sluice gate setup with different water levels at various points. - The left side of the diagram displays water at height \( y_1 \), which represents the upstream water level, marked as 7 ft. - The sluice gate, marked as "Gate", is positioned vertically, blocking water. - Downstream on the right side of the gate, the water level is \( y_2 \), at 1.2 ft. - The water level directly at the gate on the right, affected by the flow beneath the gate, is \( y_3 \), at 1.4 ft. - The flow of water beneath the gate is indicated with a blue arrow, showing movement from the taller upstream level to the lower downstream level. The task involves calculating the horizontal force exerted by the water on the sluice gate, based on these parameters, while neglecting any friction that might affect the measurement.
Transcribed Image Text:**Question 1:** Find the horizontal thrust of the water on each foot of width of the sluice gate, given \( y_1 = 7 \, \text{ft}, y_2 = 1.2 \, \text{ft}, \text{and} \, y_3 = 1.4 \, \text{ft}. \) Neglect friction. **Diagram Explanation:** The diagram shows a side view of a sluice gate setup with different water levels at various points. - The left side of the diagram displays water at height \( y_1 \), which represents the upstream water level, marked as 7 ft. - The sluice gate, marked as "Gate", is positioned vertically, blocking water. - Downstream on the right side of the gate, the water level is \( y_2 \), at 1.2 ft. - The water level directly at the gate on the right, affected by the flow beneath the gate, is \( y_3 \), at 1.4 ft. - The flow of water beneath the gate is indicated with a blue arrow, showing movement from the taller upstream level to the lower downstream level. The task involves calculating the horizontal force exerted by the water on the sluice gate, based on these parameters, while neglecting any friction that might affect the measurement.
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