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<br />,~ <br /> <br />t <br />t <br /> <br />. <br /> <br />~ <br />FLOW <br />. <br /> <br />. <br />t <br />t <br />~ <br />~ <br />~ <br />, <br />~ <br />t <br />~ <br />I <br />. <br />.. <br />.. <br />l <br />~ <br />~ <br />~ <br />.. <br />t <br />I <br /> <br />\-"0<:1': :,1 <br /> <br />(ffl <br />f/f <br />'P7 <br /> <br />L, <br /> <br />3,10 <br /> <br /> - <br /> PAvE 0 - <br /> I ./ V <br /> ~..~ <br />f- ~...-- <br /> <br />3,00 <br /> <br />C, <br /> <br />2,90 <br /> <br />0,16 020 0,24 0,28 0.32 <br /> <br />A) DISCHARGE COEFFICIENT FOR <br />HWr IL, > 0.15 <br /> <br /> 3.10 <br /> 3.00 <br /> 2.90 <br />Cr 2,80 <br /> 2,70 <br /> 2,60 <br /> <br /> -- <br /> PAVED <br /> ~ --, <br />I ..'" <br /> ~ - --- <br /> V <br />/ <br />/ <br />I <br /> <br />~ <br /> <br />. <br />I <br />. <br />. <br />~ <br /> <br />~ <br /> <br />~ <br />t <br />~ <br />. <br />. <br />. <br />. <br />. <br />. <br />~ <br />~ <br /> <br />2,50 <br />o <br /> <br />1.0 <br /> <br />2.0 <br /> <br />:\.0 <br /> <br />4,0 <br /> <br />HW, ft. <br /> <br />B) DISCHARGE COEFFICIENT FOR <br />HWr/L,<f0.15 <br /> <br /> <br />Cd" ktCr <br /> <br />1.00 <br />0.90 <br />0,80 <br />.~ <br />0.70 <br />0.60 <br /> <br /> ~ t"AVEO <br /> GRAVEL '1 ~ <br />--, <br /> <br />0,50 <br />0,6 <br /> <br />0,7 <br /> <br />0,8 <br /> <br />0,9 <br /> <br />1.0 <br /> <br />h,/HW, <br />C) SUBMERGENCE FACTOR <br /> <br />Figure III-lt--Discharge coefficients for roadway overtopping. <br /> <br />. <br />~ <br />~ <br />. <br />~ <br />~ <br />~ <br />~ <br />~ <br />t <br />I <br />t <br />; <br /> <br />~ <br />l <br />~ <br />.. <br />~ <br />t <br /> <br />The outlet control nomogrnphs in appcn- <br />dix D provide solutions for equation (5) <br />for entrance, friction, and cxit losscs <br />in full barrci flow, Using the approximatc <br />backwatcr method, the losscs (H) obtaincd <br />from thc nomographs can be npplicd for <br />the partly full flow conditions shown in <br />figures IlI-7 nnd llI-9. Thc lossc, arc <br />addcd to thc elcvation of the cxtcndcd <br />full flow hydraulic gradc linc at thr. <br />barrcl outlct in ordcr to obtain thc <br />headwatcr clevation. The cxtcndcd hy- <br />draulic gradc linc is sCI at the higher <br />of (de + D)/2 Of thc ta il wa tcr clcv't1:ion <br />at the culvcrt outlct. Again, thc approxi- <br />mation works best whcn the barrel flows <br />full ovcr at lcast part of it; length, <br /> <br />3. Roadway Overtopping. Overtop- <br />ping will begin whcn the headwater rises <br />to thc clcvation of the roadway. (figure <br />IH-IO) The overtopping will usually <br />occur at thc low point of a sag vertical <br />curvc on the roadway, The flow will be <br />similar to flow ovcr a broad crested <br />weir. Flow cocfficients for flow over- <br />topping roadway embankments are found in <br />HDS No. ), Hvdraulics of Brid~e Waterwavs <br />(21), as wcll as in the documentation of <br />HY -7, the Brid~e Waterwavs Analvsis Model <br />(22), Curvcs from reference (22) are <br />shown in figure III-II. Figure HI-II-A <br />is for dcep ovcrtopping, figure III-II-B <br />is for shallow overtopping, and figure <br />HI-) )-C is a corrcction factor for down- <br /> <br />39 <br />