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<br />c <br /> <br />, <br /> <br />~ <br />~ <br />... <br />t <br />~ <br />L <br />, <br />" <br /> <br />f. Determine the losscs through the <br />culvert barrel, H, using the outlct control <br />nomograph (figure 111-20) or equation <br />(S) or (6) if outside the range of the <br />nomograph. <br /> <br />t <br />~ <br />, <br />c <br />~ <br />... <br />~ <br />~ <br />, <br />... <br /> <br />I) If the Manning n value given <br />in the outlet control nomograph is dif- <br />ferent than the Manning n for the culvert, <br />adjust the culvert length using the <br />formula: <br /> <br />L,' (";-)' <br /> <br />(9) <br /> <br />. <br /> <br />" <br />, <br />~ <br />" <br /> <br />t <br />t <br />I <br />~ <br />~ <br />~ <br />~ <br />I <br />r- <br />~ <br />,~ <br />~ <br />J <br /> <br />.. <br /> <br />t <br />f <br />I <br />~ <br />~ <br />r <br />~, <br />~! <br />~' <br />~ <br />~ <br /> <br />Ll is the adjusted culvert length, <br />ft (m) <br />L is the actual culvcrt lcngth, <br />ft (m) <br />n1 is the desired Manning n value <br />n is the Manning n value from the <br />outlet control chart. <br /> <br />Then, use Ll rather than the actual <br />culvert length when using the outlet <br />control nomograph. <br /> <br />2) Using a straightedge, connect <br />the culvert size (point I) with the cul- <br />vert lcngth on the appropriate k. scale <br />(point 2). This dcfincs a point on the <br />turning line (po in t 3). <br /> <br />3) Again using the straight- <br />edgc, extcnd a linc from the discharge <br />(point 4) through the point on thc turning <br />line (point 3) to the Head Loss (H) scale. <br />Read H. H is the energy loss through <br />the culvert, including entrance, friction, <br />and outlet losscs. <br /> <br />Note: Carcful alignmcnt of the <br />straightcdge in neccssary to obtain good <br />results from the outlet control nomo- <br />graph. <br /> <br />g, Calculate thc rcquircd outlct <br />control headwatcr clevation, <br /> <br />ELho = ELo + H + ho (10) <br /> <br />where ELo is the invert elcvation at <br /> <br />the outlet, (If it is desired to include <br />the approach and downstream velocities <br />in the calculations, add the dowllStrcam <br />velocity head and subtract the approach <br />velocity head from the right side of <br />equation (10). Also, use equation (4c) <br />instead of equation (4d) to calculate <br />the exit losses and equation (1) to cal- <br />cula te total losses.) <br /> <br />h. If the outlet control headwater <br />elevation exceeds the design headwater <br />elevation, a new culvert configuration <br />must be sclected and the process repeated, <br />Generally, an enlarged barrel will be <br />necessary since inlet improvements are <br />of limitcd benefit in outlet control. <br /> <br />4. Evaluation of Results. Compare <br />the headwater elevations calculated for <br />inlet and outlet control. The higher of <br />the two is designated the controlling <br />headwater elevation. The culvert can be <br />expected to operate with that higher <br />headwater for at least part of the time. <br /> <br />The outlet velocity is calculated as <br />follows: <br /> <br />a, If the controlling headwater is <br />bascd on inlet control, determine the <br />normal depth and velocity in the culvert <br />barrel. The velocity at normal dcpth is <br />assumed to be the outlet velocity. <br /> <br />b. If the controlling headwater is <br />in outlet control, determine the area of <br />flow at the outlet based on the barrel <br />geometry and the fOllowing: <br /> <br />I) Critical depth if the tail- <br />water is below critical depth, <br /> <br />2) The tail water depth if the <br />tail wa ter is between critical depth and <br />the top of the barrcl. <br /> <br />3) The hcight of the barrel if <br />the tailwatcr is above the top of the <br />barrcl. <br /> <br />Repeat the design process until an <br />acceptable culvert configuration is deter- <br />mined. Once the barrel is selected it <br /> <br />49 <br />