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TarmiziIsmail 1 Q = Peak flow (m 3 /s); C = Runoff coefficient (Table 2.5 MSMA 2 nd Ed) i = Average rainfall intensity (mm/hr) A = Drainage area (ha). 360 A i C Q = Assumptions used in the Rational Method are as follows: The peak flow occurs when the entire catchment is contributing to the flow; The rainfall intensity is the uniform over the entire catchment area; and The rainfall intensity is uniform over a time duration equal to the time of concentration, t The Rational Method is not recommended for use where: The catchment area is greater than 80 ha (TxDOT, 2009); Ponding of stormwater in the catchment might affect peak discharge; and The design and operation of large and more costly drainage facilities are to be undertaken, particularly if they involve storage.

Rational Method (Ex)

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  • TarmiziIsmail 1

    Q = Peak flow (m3/s);C = Runoff coefficient (Table 2.5 MSMA 2nd Ed)i = Average rainfall intensity (mm/hr)A = Drainage area (ha).360

    AiCQ =Assumptions used in the Rational Method

    are as follows: The peak flow occurs when the entire

    catchment is contributing to the flow; The rainfall intensity is the uniform over

    the entire catchment area; and The rainfall intensity is uniform over a

    time duration equal to the time of concentration, t

    The Rational Method is not recommended for use where:

    The catchment area is greater than 80 ha (TxDOT, 2009);

    Ponding of stormwater in the catchment might affect peak discharge; and

    The design and operation of large and more costly drainage facilities are to be undertaken, particularly if they involve storage.

  • TarmiziIsmail 2

    D1

    D2

    D3

    A1

    A2

    A3

  • TarmiziIsmail 3

    A1 = 1.4HaC1 = 0.9td1 = 7.8minto1 = 4.3min

    D1

    D2

    D3

    tc = 12.1min

    A1 = 1.4HaC1 = 0.9ttd12d12 = 9.2min= 9.2minto12 = 4.3min

    A2 = 1.12HaC2 = 0.9td2 = 5.0minto2 = 4.8min

    tc = 13.5min

    tc = 9.8min

    Q = 0.59

    Q = 0.56

    Q = 0.54

    Q = 1.10Q = 1.10

    A2 = 1.12HaC2 = 0.9ttd23d23 = 6.5min= 6.5minto23 = 4.8min

    A3 = 1.04HaC3 = 0.9td3 = 5.1minto3 = 4.8min

    tc = 11.3min

    tc = 9.9min

    Q = 0.53

    Q = 0.49

    Q = 1.54Q = 1.54

    A1 = 1.4HaC1 = 0.9ttd13d13 = 10.6min= 10.6minto13 = 4.3min

    tc = 14.9min Q = 0.51

  • TarmiziIsmail 4

    C1A1t01 = 5mintd1 = 3minC2

    A2t02 = 2mintd2 = 4min

    C3A3t03 = 5mintd3 = 7min

    C4A4t04 = 1mintd4 = 4min

    C5A5t05 = 2mintd5 = 8min

    ( )( )360

    2145@21

    2211 AAiAAACAC

    Qt +

    ++

    =+=

    ( )( )360

    4321745@4321

    44332211 AAAAiAAAA

    ACACACAC

    Qt +++

    ++++++

    =++=

    ( )( )360

    543218745@54321

    5544332211 AAAAAiAAAAA

    ACACACACAC

    Qt ++++

    ++++++++

    =+++=

  • TarmiziIsmail 5

    PROBLEMPROBLEM

    Using Rational Method procedure to calculate a 20 yrar ARI peak discharge from a subcatchment area of 40.7ha in Wangsa Maju, Kuala Lumpur. Also develop the runoff hydrograph using the RHM for drain AB on 5 and 10 min durations design storms

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