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<br />at point 1; <br /> <br />'/011 = <br />1 <br /> <br />r. <br />fI~+ 11 <br />\ . ., <br /> <br />. "'+2 <br /><; "I <br />.0 <br /> <br />(T -4) <br /> <br />at poi.,t 2; <br /> <br />- <br /> <br />Vo 12 = 3 . (M~ 1 ) <br /> <br /><; <br />o <br /> <br />V "'+::> <br />, <br /> <br />(T-S) <br /> <br />Solving equations (1-4) ~nd (I-S) yields <br />" = (10')(11'11,1'/011 )/1o')(V,I"l)) - ::> <br /> <br />(I -Ii) <br /> <br />C = 1'^11 " 1. . 0'+1) . .. IV ~'+2 <br />. u '.'0. 1 <br /> <br />( !-7) <br /> <br />- <br />Since M is dimensionless, ~ny units M~Y h~ used fo~ Vol and for" in <br /> <br /> <br />equation (1-6). Equation (1-7) re'lllir..s consistent units hetl.teen Vol ~nd <br /> <br />Y, ho~rever. The follO\~inlJ examrle illustr~tes the 'Jse of eqllations (I-Ii) <br /> <br />and (T-7). <br /> <br />Actually, any two arhitrary roints m~'y he selected for calculati'lg C <br /> <br />and M. <br /> <br />Ho~/ever, in ~eepin'1 with the ohjer1;i"e of approxi!l1~ting the reservoir <br /> <br />the head on the daM at the 1;ime of fi!i1ure is selerted as one of the <br />4 <br />and ~ of that head is used for the other. These are converted to <br /> <br />volume. <br /> <br />points <br /> <br />elevations and reservoir storanes read frflm the elevation capacity curve <br /> <br />as follows. <br /> <br />Table 1-1. Data for Calclllatinn COl"fficients for the Prismatic Sectfon <br /> <br />1 <br /> <br />Head <br />@ <br /> <br />1\6 <br /> <br />31\ <br /> <br />Channe 1 <br />Flevation <br /> <br />PM1 <br />Flev~tion <br /> <br />Reservoir <br />ac ft <br /> <br />Vglume <br />10 cu ft <br /> <br />Point <br /> <br />1323 <br /> <br />14flCl <br /> <br />26577 <br /> <br />2 <br /> <br />1323 <br /> <br />1161 <br /> <br />4134 <br /> <br />1157.476 <br />1 SO .077 <br /> <br />. <br /> <br />Substi tuting thfOse data into fOqllations (T -6) and (I-7) <br />~ : (Log(4114/26572)/Log(3~/86)) - ?O <br />,~ : 0.278 <br />C = 180.077(106) . 3 . 1.278 .0.001/382.278 <br />C : 173.92 ft <br /> <br />i' <br /> <br />64 <br />