EIT Civil Review, Second Edition

Chapter 3: Hydraulics and Hydro Systems

Dr. Bruce E. Larock

This chapter will review the two equations that are likely to be found in the FE examination. A more thorough presentation may be found in the Civil Engineering License Review or in selected references at the end of this chapter.

Manning Equation

The Manning equation for the average velocity V in a steady open channel flow is

With SI units K = 1.0; with English units K = 1.49. The hydraulic radius is R= A/P with A = flow cross-sectional area and P = wetted perimeter, i.e. the length of the interface along the fluid/solid boundary containing it. The slope S of the energy line is equal to the amount of head lost in a channel section of length L, or S = h L/L. A short table of values for n, the Manning roughness factor, follows:

Channel Surface

Roughness Value n

Concrete, finished

0.012

Concrete, gunite

0.019

Clay, vitrified sewer

0.014

Rubble masonry

0.025

Concrete, mortar

0.013

Concrete, troweled

0.013

Gravel, clean

0.025

Although the Manning equation is intended primarily for use in open channels, it is sometimes also used for pressurized flow in pipes.

Example 3-1

Q:

A rectangular open channel lined with rubble masonry is 5 meter wide and laid on a slope of 0.0004. If the depth of uniform flow is 3 meter, compute the discharge in m 3/sec.

Answers

Q:

From the table the Manning roughness is approximately n = 0.025. The area and wetted perimeter are

A =...

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