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158 <br />H <br />H <br />F- <br />LL <br />2 <br />d <br />0 <br />In <br />CHAPTER <br />0 <br />5 <br />0 <br />S- 2 ~t gt2 Ot <br />4 <br />2 <br />3 2 <br />1- <br />tL <br />= S-2~t <br />2 a I <br />0 <br />to <br />N $+~~} <br />4 <br />I + 00 I 2 3 4 <br />SI Z'o` ~ gz+ 221 Sf ~ ~t <br />~O 10 20 30 40 50 Fi(" <br />$tZ~t <br />Pi_^_ure 3.1 I. Example of routing usm^_ PULS method. Thr chanc[tnstic turves arc <br />from Fsamplt Problem 4.3. <br />('_) Solcc for S•+ ~~ ~t by adding (11 +I~)~t/_'to Sl-~~ „t. <br />[3) En[rr Ihr stongt charactrristir to rvcs at the new' vahte o(S_. + ~= p t and <br />read oft H•. <br />(1) Drtcmunc the value of O, from tltc stage discharge vrvc corn•:ponding to <br />H,. <br />(5) Rrpca[ [hr procedure by setting [hc new 11, OI, SI and Hi equal m [hr <br />pm~ious I+. O+. S, and H. and using a new I+. Continut until tht rowing <br />~mPlttt. - - <br />:~- <br />..~.- . <br />HYDRAULICS OF STRUCTURES <br />Exantplr Problem 4.4 <br />An innow hydrograph is shown in ttte first two columns of the followu~. <br />Route the hydrograph through the structure of Example Problem 4.3. <br />Solution: <br />Tht solution is shown in tabular form in tht following table along wet. <br />now hydrograph. <br />(1) ('-) (3) (4) (5) (6) (7) <br />Time 1 (11 +1.)Gt/? Hi St -OI 0t/3 S,+O+ pt/? H, <br />(min) c(s aoft ft ac-ft ac-ft ft <br />0 0 <br />5 30 .14 0 0.50 0.64 0.09 <br />10 IS? .77 0.09 0.63 1.39 0.4. <br />I S 379 1.95 0.4' I..0 3.15 1.08 <br />'0 548 3.3? 1.08 ?.35 5.57 1.60 <br />'S 64i 4.14 1.60 4.50 8.64 '_.I'_ <br />30 677 4.59 '_.1'_ 7.?0 II.79 '_.55 <br />35 651 4.61 ?.55 10.05 14.66 3.90 <br />40 59'_ 4.3'_ '_'.90 13.'_0 17.5 3.17 <br />46 510 3.83 3.17 IS.ti0 19.43 3.35 <br />50 4"_ 3._4 3.35 17.60 '0.84 3.35 <br />55 334 '`.66 3.45 18.50 =1.16 3.50 <br />60 '_70 3.13 3.50 19.'0 '_1.33 3.50 <br />6_07 1.66 3.50 19.50 ' 1.16 3.50 <br />70 I50 1.34 3.50 19.'_0 '_0.40 3.4'_ <br />75 I10 .90 3A7 18'0 19.10 331 <br />SO b0 .66 3.31 1750 15.16 3.'_' <br />SS 50 .45 3... 16.00 Ifi.45 3.05 <br />Thr ealndaitd ow Dow hydro graph is plotted along with the innow hydrogr; <br />F~gurc 3.1 =. <br />Charactrnsurs of Hyd rocs phs <br />The relationship of stone to iht relative m0ow and outflow hyd rocr_ <br />shown m Fi^_urr 3.13. It can b r show n That tltc peak d ischarge of the outllow Ir. <br />graph corresponds [o [hc point of mta rscction of the nv o hydrographs. Thecontu <br />cy nation can hr wnttcn as <br />dS=I-O <br />(~ <br />d[ <br />For the time when outnow is niaxununt, tlrc storago wd also br maximum. We <br />rind the Point a which S is a maximum by setting T equal to zero. Therefore, <br />maximum storage and outllow rate will occur when inflow 1 tyuas ou[now O. Tlu_ <br />course. cortrsponds to the points of in trrsection. The stonee volume required in <br />rrx rvoir is the arcs between the m0ow and outflow by hs prior to the pr <br />outllow and is also the area brhrern the nvo hyd rocrapl. e peak outno~~ <br />.. ~ r .. <br />