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                    386  Chapter 11  Hydrology: Rainfall and Runoff





                                                                   Area 5
                                                                                             Area 4
                                                   Area 7
                                                                                  Area 3






                                                           Area 6
                                                                               Area 2

                                                                                  Area 1





                                           Figure 11.9 Map Showing Areas of Approximately Similar Rainfall Characteristics



                     EXAMPLE 11.7  INTENSITY-DURATION-FREQUENCY RELATIONSHIPS FOR THE UNITED STATES
                     IN ENGLISH UNITS
                                         Determine:
                                             1. The intensity-duration-frequency equation for area 1 of the United States using the
                                                English system and assuming the frequency of precipitation is 2 years.
                                             2. Calculate the intensity (in./h and mm/h) of a rainstorm for a duration of 20 min.

                                         Solution 1 (U.S. Customary System):
                                             1. The intensity-duration-frequency from Eq. 11.19 and for n   1 is
                                                                                 A
                                                                            i =                            (11.21)
                                                                                t + d
                                                From Table 11.10 for a frequency of 2 years,
                                                                  5,230
                                                           i(mm/h) =      (SI Units)                       (11.22)
                                                                  t + 30
                                                                    5,230
                                                                  25.4 mm/hr
                                                            i(in./h) =        (U.S. Customary Units)
                                                                    t + 30
                                                                   206
                                                                 =        (U.S. Customary Units)           (11.23)
                                                                  t + 30
                                             2. The intensity (in./h) of a rainstorm for a duration of 20 min.
                                                                              206
                                                                       i(in./h) =
                                                                             t + 30
                                                                               206
                                                                            =
                                                                             20 + 30
                                                                            = 4.12 in./h
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