Answered: A channel is used to carry storm water…

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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A channel is used to carry storm water into the ocean (Fig. 1). The channel is made of cement with neat surfaces, and its bed drops 1 ft per 1 000 ft.

1. Given the water depth h is 2 ft at the deepest portion of the channel. Calculate its flow rate using the Chézy equation and Manning's formula.

2. Suppose that the flow rate in the channel is doubled due to a recent storm, is the channel deep enough such that the water does not spill over?

Problem 1. A channel is used to carry storm water into the ocean (Fig. 1). The channel
is made of cement with neat surfaces, and its bed drops 1 ft per 1000 ft.
1. Given the water depth h is 2 ft at the deepest portion of the channel. Calculate its
flow rate using the Chézy equation and Manning's formula.
2. Suppose that the flow rate in the channel is doubled due to a recent storm, is the
channel deep enough such that the water does not spill over?
4 ft
45°
2 ft
1 ft
4 ft
Figure 1: Cross-section of a cement-lined channel that carries storm water into the ocean.

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