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<br /># Slices refers to the method in which the original failure hydrograph is <br /> <br /> <br />subdivided for calculation purposes. Sufficient accuracy and computational <br /> <br /> <br />ease is achieved on Worksheet W-2 by assuming six slices such as the <br /> <br />-~-~ ----~---~--,---~- <br /> <br />hydrograph shown in Figure 4. <br /> <br />cfs <br /> <br />Qp - - - - - - - - - <br /> <br /> <br />aQ,p <br />:3 <br />.9..P <br />:3 <br />:3 4' 5 <br />0 t 2.j 11 1;1- r T rs <br /> <br />FIGURE 4 <br />FAILURE HYDROGRAPH UrVlDlill INTO SIX SLICES <br /> <br />Returning to the example of Worksheet W.2, # Routing Steps is calculated as 2, <br /> <br /> <br />to the nearest digit, and used to select polynomial coefficients Ci[2~ For <br /> <br />two steps, the constants Ci are: <br /> <br />Ci = {g : ~:~5} <br />. C3 = 0.25 <br />Assuming six slices of the failure hydrograph (refer to Figure 4) the values <br /> <br />of Qj are: <br /> <br />Qj <br />= <br /> <br />Ql = 0 <br />Q2 = 1/3 Qp = 4467 cfs <br />Q3 = 2/3 Qp = 8933 cfs <br />Q4 = Qp = 13,400 cfs <br />Q5 = 2/3 Qp = 8933 cfs <br />Q6 = 1/3 Qp = 4467' cfs <br />Q7 = 0 <br /> <br />A complete routed hydrograph could be created by plotting the result of <br />multiplication of vectors (Ci) and (Qj). The individual routed hydrograph <br />coordinates are given by Qri = (Ci) (Qj). <br /> <br />13 <br />