“ANS” is the professor’s provided answer. **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.

The given trapezoidal channel has following characteristics: B=5 m m=1 S=0.004 n=0.012 Q=35 m3/s

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

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Design of structures using FEA

An arrangement, in which various members are interconnected with their constrained relative motion, the whole arrangement is then known as a structure. The degree of freedom of such a structure is zero. In such a structure, the load can act throughout the length of the structure or at the joints.

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“ANS” is the professor’s provided answer.

**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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