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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 Y3 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 Y3 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 and formulas used subject is fluid mechanics
**Question 1:** Find the horizontal thrust of the water on each foot of the width of the sluice gate, given \( y_1 = 7 \, \text{ft} \), \( y_2 = 1.2 \, \text{ft} \), and \( y_3 = 1.4 \, \text{ft} \). Neglect friction. **Diagram Description:** The diagram shows a side view of a sluice gate with water on one side. The gate is vertical and blocks part of the water flow. The positions of the water levels are marked as \( y_1 \), \( y_2 \), and \( y_3 \). - \( y_1 \) is the height of the water on the left side of the gate, which is \( 7 \, \text{ft} \). - \( y_2 \) is the height of the water downstream, beyond the sluice gate, which is \( 1.2 \, \text{ft} \). - \( y_3 \) is marked below the gate, representing a lower reference point, measuring \( 1.4 \, \text{ft} \). A blue arrow indicates the direction of the water flow under the gate toward the lower water level on the right side.
Transcribed Image Text:**Question 1:** Find the horizontal thrust of the water on each foot of the width of the sluice gate, given \( y_1 = 7 \, \text{ft} \), \( y_2 = 1.2 \, \text{ft} \), and \( y_3 = 1.4 \, \text{ft} \). Neglect friction. **Diagram Description:** The diagram shows a side view of a sluice gate with water on one side. The gate is vertical and blocks part of the water flow. The positions of the water levels are marked as \( y_1 \), \( y_2 \), and \( y_3 \). - \( y_1 \) is the height of the water on the left side of the gate, which is \( 7 \, \text{ft} \). - \( y_2 \) is the height of the water downstream, beyond the sluice gate, which is \( 1.2 \, \text{ft} \). - \( y_3 \) is marked below the gate, representing a lower reference point, measuring \( 1.4 \, \text{ft} \). A blue arrow indicates the direction of the water flow under the gate toward the lower water level on the right side.
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