Answered: A cement lined rectangular channel 6m…

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.

Principles of Geotechnical Engineering (MindTap Course List)

9th Edition

ISBN:9781305970939

Author:Braja M. Das, Khaled Sobhan

Publisher:Braja M. Das, Khaled Sobhan

Chapter15: Slope Stability

Section: Chapter Questions

Problem 15.3P

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Concept explainers

Principles of Seepage

In hydrology, when water flows down in a pore or crack of unsaturated soil due to gravity, the deep layer of soil is called seepage. It is the slow movement of water in the soil layer. Seepage is mainly found near hydraulic structures and is responsible for the stability of earthen-type hydraulic structures.

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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