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Drainage Design Manual, Hydrology - Flood Control District of ...

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<strong>Drainage</strong> <strong>Design</strong> <strong>Manual</strong> for Maricopa County<br />

<strong>Hydrology</strong>: Rational Method<br />

3<br />

3<br />

3<br />

RATIONAL METHOD<br />

TABLE OF CONTENTS<br />

3 RATIONAL METHOD<br />

3.1 GENERAL . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-1<br />

3.2 RATIONAL EQUATION. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-1<br />

3.3 ASSUMPTIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-6<br />

3.4 VOLUME CALCULATIONS. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-7<br />

3.5 LIMITATIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-7<br />

3.6 APPLICATION. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-7<br />

3.6.1 Peak Discharge Calculation ........................................................................ 3-7<br />

3.6.2 Multiple Basin Approach ............................................................................. 3-8<br />

3.1 GENERAL<br />

The Rational Method was originally developed to estimate run<strong>of</strong>f from small areas and its use<br />

should be generally limited to those conditions. For the purposes <strong>of</strong> this manual, its use should<br />

be limited to areas <strong>of</strong> up to 160 acres. In such cases, the peak discharge and the volume <strong>of</strong> run<strong>of</strong>f<br />

from rainfall events up to and including the 100-year, 2-hour duration storm falling within the<br />

boundaries <strong>of</strong> the proposed development are to be retained. This is the required minimum criteria<br />

for unincorporated areas <strong>of</strong> Maricopa County. If the development involves channel routing,<br />

the procedures given in Chapters 4 through 6 should be used, since the peak discharge generated<br />

by the Rational Method cannot be directly routed.<br />

3.2 RATIONAL EQUATION<br />

The Rational Equation relates rainfall intensity, a run<strong>of</strong>f coefficient and the watershed size to the<br />

generated peak discharge. The following shows this relationship:<br />

Q =<br />

CiA<br />

where:<br />

(3.1)<br />

Q = the peak discharge, in cfs, from a given area.<br />

C = a coefficient relating the run<strong>of</strong>f to rainfall.<br />

i = average rainfall intensity, in inches/hour, lasting for a T c .<br />

T c = the time <strong>of</strong> concentration, in hours.<br />

A = drainage area, in acres.<br />

August 15, 2013 3-1

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