Answered: A cement lined rectangular channel 6m…

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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Question

A cement lined rectangular channel 6m wide carries water at the rate of 30m3
/s. Find
the value of Manning’s constant, if the slope required to maintain a depth of 1.5m is
0.00118.

Expert Solution

Step 1

Given:

The width of the rectangular channel is 6 m.

The depth of the rectangular channel is 1.5 m.

The flow rate of water is 30 m³/s.

The slope is 0.00118.

Step 2

The formula to calculate the hydraulic radius is,

Here, A is the area and P is the perimeter of the channel.

The formula to calculate the value of Manning’s constant is,

Here, Q is the flow rate of water, n is the Manning’s constant, A is the area, R is the hydraulic radius, and S is the slope.

Step 3

Calculate the hydraulic radius.

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