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1. A trapezoidal channel with a 5-m bottom width and side slope m = 1.0 discharges 35 m'/s. The slope is 0.004 and is paved with smooth concrete (n= 0.012). Determine the depth 3.3 m upstream from a section that has a measured depth of 1.69 m. Think through this problem

1. A trapezoidal channel with a 5-m bottom width and side slope m = 1.0 discharges 35 m'/s. The slope is 0.004 and is paved with smooth concrete (n= 0.012). Determine the depth 3.3 m upstream from a section that has a measured depth of 1.69 m. Think through this problem

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:** A trapezoidal channel with a 5-meter bottom width and side slope of \( m = 1.0 \) discharges 35 cubic meters per second (m³/s). The channel slope is 0.004 and the surface is paved with smooth concrete, characterized by Manning's \( n = 0.012 \). **Task:** Determine the water depth 3.3 meters upstream from a section with a measured depth of 1.69 meters. **Answer:** Approximately 1.64 meters. **Questions for Analysis:** a. Is the water depth increasing or decreasing upstream? Why would that be? b. What is the critical depth? c. What is the normal depth? **Explanation:** - Consideration of the channel's geometric properties and physical conditions (such as slope and roughness) is essential. - Understanding factors influencing flow dynamics, such as flow rate and channel characteristics, is crucial for solving the problem. **Note:** No graphs or diagrams are provided in this problem statement.
Transcribed Image Text:**Problem Statement:** A trapezoidal channel with a 5-meter bottom width and side slope of \( m = 1.0 \) discharges 35 cubic meters per second (m³/s). The channel slope is 0.004 and the surface is paved with smooth concrete, characterized by Manning's \( n = 0.012 \). **Task:** Determine the water depth 3.3 meters upstream from a section with a measured depth of 1.69 meters. **Answer:** Approximately 1.64 meters. **Questions for Analysis:** a. Is the water depth increasing or decreasing upstream? Why would that be? b. What is the critical depth? c. What is the normal depth? **Explanation:** - Consideration of the channel's geometric properties and physical conditions (such as slope and roughness) is essential. - Understanding factors influencing flow dynamics, such as flow rate and channel characteristics, is crucial for solving the problem. **Note:** No graphs or diagrams are provided in this problem statement.
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