Question

Given: There is a weir that causes the water level in a rectangular natural channel with cobbles and large boulders on the bottom to be 27 ft from the channel bottom. The channel has a bottom width of 73ft. The slope of the channel is 0.006 and the discharge rate is 1330 cfs. There is a bridge 2,000ft upstream. Find: (a) Channel distance affected by the weir. (b) Is the velocity acceptable everywhere? How do you know? (5%) (c) Elev of bridge bottom to be safe from flooding. (5%)

use direct step method with changing y with 0.1 ft. use excel spreadsheet to solve, for direct step method.

Answer 1

We have a rectangular natural channel with cobbles and large boulders on bottom. y ft 73 ft Area A= 73y Q = 1330 cfs q = 1330/: 18.2192 cfs/ft To find the distance affected by weir, we have to find critical and normal depth for critical depth in rectangular section ye- (9^2/9)^(1/3) 2.17638 ft yca Roughness coefficinet for given channel, n = 0.05 0.006 SO = From mannings equation Q = (1.49/n)*A*R^2/3)*5^(1/2) normal depth of flow Yn= 3.586 ft As Yn > Yc, and Y > Yn i.e. Y>Yn>YC so the profile is of Mi curve

Direct step method ΔΕ Ax = S. - 5 Y 27 26.9 26.8 26.7 26.6 26.5 26.4 26.3 26.2 26.1 26 25.9 25.8 25.7 25.6 25.5 25.4 25.3 25.2 25.1 25 24.9 24.8 Ai Vi E1 E2 E1-E2 R1 Sf Sf average X Cumulative distance 1971 0.67478 27.0071 26.9071 0.09995 15.5197 1.3246E-05 1.3314E-05 16.6949351 16.6949351 1963.7 0.67729 26.9071 26.8072 0.09995 15.4866 1.3382E-05 1.3452E-05 16.6952204 33.3901555 1956.4 0.67982 26.8072 26.7072 0.09995 15.4534 1.3521E-05 1.3591E-05 16.6955099 50.0856654 1949.1 0.68237 26.7072 26.6073 0.09995 15.4201 1.3662E-05 1.3733E-05 16.6958035 66.7814689 1941.8 0.68493 26.6073 26.5073 0.09994 15.3867 1.3805E-05 1.3877E-05 16.6961015 83.4775704 1934.5 0.68752 26.5073 26.4074 0.09994 15.3532 1.3949E-05 1.4023E-05 16.6964038 100.173974 1927.2 0.69012 26.4074 26.3075 0.09994 15.3196 1.4096E-05 1.4171E-05 16.6967106 116.870685 1919.9 0.69274 26.3075 26.2075 0.09994 15.2858 1.4246E-05 1.4321E-05 16.6970218 133.567707 1912.6 0.69539 26.2075 26.1076 0.09994 15.252 1.4397E-05 1.4474E-05 16.6973378 150.265044 1905.3 0.69805 26.1076 26.0076 0.09994 15.2181 1.4551E-05 1.4629E-05 16.6976584 166.962703 1898 0.70074 26.0076 25.9077 0.09994 15.184 1.4707E-05 1.4786E-05 16.6979838 183.660687 1890.7 0.70344 25.9077 25.8077 0.09994 15.1498 1.4865E-05 1.4945E-05 16.6983142 200.359001 1883.4 0.70617 25.8077 25.7078 0.09994 15.1156 1.5026E-05 1.5107E-05 16.6986495 217.05765 1876.1 0.70892 25.7078 25.6079 0.09994 15.0812 1.5189E-05 1.5272E-05 16.6989899 233.75664 1868.8 0.71169 25.6079 25.5079 0.09994 15.0467 1.5355E-05 1.5439E-05 16.6993355 250.455976 1861.5 0.71448 25.5079 25.408 0.09994 15.0121 1.5523E-05 1.5608E-05 16.6996863 267.155662 1854.2 0.71729 25.408 25.3081 0.09994 14.9774 1.5694E-05 1.5781E-05 16.7000426 283.855705 1846.9 0.72013 25.3081 25.2081 0.09994 14.9426 1.5867E-05 1.5955E-05 16.7004044 300.556109 1839.6 0.72298 25.2081 25.1082 0.09994 14.9076 1.6044E-05 1.6133E-05 16.7007718 317.256881 1832.3 0.72586 25.1082 25.0082 0.09993 14.8726 1.6222 E-05 1.6313E-05 16.7011449 333.958026 1825 0.72877 25.0082 24.9083 0.09993 14.8374 1.6404E-05 1.6496E-05 16.7015238 350.659549 1817.7 0.73169 24.9083 24.8084 0.09993 14.8021 1.6589E-05 1.6683E-05 16.7019087 367.361458 1810.4 0.73464 24.8084 24.7084 0.09993 14.7667 1.6776E-05 1.6872E-05 16.7022997 384.063758 1803.1 0.73762 24.7084 24.6085 0.09993 14.7312 1.6967E-05 1.7064E-05 16.7026968 400.766455 24.7

24.6 24.5 24.4 24.3 24.2 24.1 24 23.9 23.8 23.7 23.6 23.5 23.4 23.3 23.2 23.1 23 22.9 22.8 22.7 22.6 22.5 22.4 22.3 22.2 22.1 22 21.9 21.8 1795.8 0.74062 24.6085 24.5086 0.09993 14.6956 1788.5 0.74364 24.5086 24.4087 0.09993 14.6598 1781.2 0.74669 24.4087 24.3087 0.09993 14.624 1773.9 0.74976 24.3087 24.2088 0.09993 14.588 1766.6 0.75286 24.2088 24.1089 0.09993 14.5519 1759.3 0.75598 24.1089 24.0089 0.09993 14.5157 1752 0.75913 24.0089 23.909 0.09992 14.4793 1744.7 0.76231 23.909 23.8091 0.09992 14.4429 1737.4 0.76551 23.8091 23.7092 0.09992 14.4063 1730.1 0.76874 23.7092 23.6093 0.09992 14.3696 1722.8 0.772 23.6093 23.5093 0.09992 14.3328 1715.5 0.77528 23.5093 23.4094 0.09992 14.2958 1708.2 0.7786 23.4094 23.3095 0.09992 14.2588 1700.9 0.78194 23.3095 23.2096 0.09992 14.2216 1693.6 0.78531 23.2096 23.1097 0.09992 14.1843 1686.3 0.78871 23.1097 23.0097 0.09992 14.1468 1679 0.79214 23.0097 22.9098 0.09991 14.1092 1671.7 0.7956 22.9098 22.8099 0.09991 14.0715 1664.4 0.79909 22.8099 22.71 0.09991 14.0337 1657.1 0.80261 22.71 22.6101 0.09991 13.9958 1649.8 0.80616 22.6101 22.5102 0.09991 13.9577 1642.5 0.80974 22.5102 22.4103 0.09991 13.9195 1635.2 0.81336 22.4103 22.3104 0.09991 13.8812 1627.9 0.817 22.3104 22.2105 0.09991 13.8427 1620.6 0.82068 22.2105 22.1106 0.09991 13.8041 1613.3 0.8244 22.1106 22.0106 0.0999 13.7654 1606 0.82814 22.0106 21.9107 0.0999 13.7265 1598.7 0.83193 21.9107 21.8108 0.0999 13.6875 1591.4 0.83574 21.8108 21.7109 0.0999 13.6484 1584.1 0.83959 21.7109 21.611 0.0999 13.6091 1576.8 0.84348 21.611 21.5112 0.0999 13.5697 1569.5 0.8474 21.5112 21.4113 0.0999 13.5302 1562.2 0.85136 21.4113 21.3114 0.09989 13.4905 1.716E-05 1.7357E-05 1.7557E-05 1.776E-05 1.7966E-05 1.8176E-05 1.8389E-05 1.8606E-05 1.8826E-05 1.905E-05 1.9277E-05 1.9509E-05 1.9744E-05 1.9983E-05 2.0227E-05 2.0474E-05 2.0726E-05 2.0982E-05 2.1243E-05 2.1508E-05 2.1778E-05 2.2052E-05 2.2331E-05 2.2616E-05 2.2905E-05 2.3199E-05 2.3499E-05 2.3804E-05 2.4115E-05 2.4432E-05 2.4754E-05 2.5082E-05 2.5416E-05 1.7259E-05 16.7031003 417.469555 1.7457E-05 16.7035103 434.173065 1.7658E-05 16.7039268 450.876992 1.7863E-05 16.7043501 467.581342 1.8071E-05 16.7047802 484.286122 1.8282 E-05 16.7052174 500.99134 1.8497E-05 16.7056617 517.697001 1.8716E-05 16.7061133 534.403115 1.8938E-05 16.7065723 551.109687 1.9164E-05 16.707039 567.816726 1.9393E-05 16.7075135 584.524239 1.9626E-05 16.707996 601.232235 1.9864E-05 16.7084865 617.940722 2.0105E-05 16.7089854 634.649707 2.0351E-05 16.7094927 651.3592 2.06E-05 16.7100088 668.069209 2.0854E-05 16.7105336 684.779742 2.1112E-05 16.7110676 701.49081 2.1375E-05 16.7116108 718.202421 2.1643E-05 16.7121634 734.914584 2.1915E-05 16.7127258 751.62731 2.2192E-05 16.713298 768.340608 2.2473E-05 16.7138803 785.054488 2.276E-05 16.714473 801.768961 2.3052E-05 16.7150763 818.484038 2.3349E-05 16.7156905 835.199728 2.3652E-05 16.7163157 851.916044 2.396E-05 16.7169522 868.632996 2.4273E-05 16.7176003 885.350596 2.4593E-05 16.7182604 902.068857 2.4918E-05 16.7189326 918.787789 2.5249E-05 16.7196172 935.507406 2.5587E-05 16.7203145 952.227721 21.7 21.6 21.5 21.4

21.3 21.2 21.1 21 20.9 20.8 20.7 20.6 20.5 20.4 20.3 20.2 20.1 20 19.9 19.8 19.7 19.6 1554.9 1547.6 1540.3 1533 1525.7 1518.4 1511.1 1503.8 1496.5 1489.2 1481.9 1474.6 1467.3 1460 1452.7 1445.4 1438.1 1430.8 1423.5 1416.2 1408.9 1401.6 1394.3 1387 1379.7 1372.4 1365.1 1357.8 1350.5 1343.2 1335.9 1328.6 1321.3 0.85536 21.3114 21.2115 0.09989 0.8594 21.2115 21.1116 0.09989 0.86347 21.1116 21.0117 0.09989 0.86758 21.0117 20.9118 0.09989 0.87173 20.9118 20.8119 0.09989 0.87592 20.8119 20.712 0.09988 0.88015 20.712 20.6121 0.09988 0.88443 20.6121 20.5123 0.09988 0.88874 20.5123 20.4124 0.09988 0.8931 20.4124 20.3125 0.09988 0.8975 20.3125 20.2126 0.09988 0.90194 20.2126 20.1128 0.09987 0.90643 20.1128 20.0129 0.09987 0.91096 20.0129 19.913 0.09987 0.91554 19.913 19.8131 0.09987 0.92016 19.8131 19.7133 0.09987 0.92483 19.7133 19.6134 0.09986 0.92955 19.6134 19.5136 0.09986 0.93432 19.5136 19.4137 0.09986 0.93913 19.4137 19.3138 0.09986 0.944 19.3138 19.214 0.09986 0.94892 19.214 19.1141 0.09985 0.95388 19.1141 19.0143 0.09985 0.9589 19.0143 18.9144 0.09985 0.96398 18.9144 18.8146 0.09985 0.96911 18.8146 18.7147 0.09984 0.97429 18.7147 18.6149 0.09984 0.97953 18.6149 18.5151 0.09984 0.98482 18.5151 18.4152 0.09984 0.99017 18.4152 18.3154 0.09983 0.99558 18.3154 18.2156 0.09983 1.00105 18.2156 18.1157 0.09983 1.00658 18.1157 18.0159 0.09982 13.4507 13.4107 13.3707 13.3304 13.2901 13.2496 13.2089 13.1681 13.1272 13.0861 13.0449 13.0035 12.962 12.9204 12.8785 12.8366 12.7945 12.7522 12.7098 12.6673 12.6246 12.5817 12.5387 12.4955 12.4522 12.4087 12.365 12.3212 12.2773 12.2332 12.1889 12.1444 12.0998 2.5757E-05 2.6104E-05 2.6457E-05 2.6817E-05 2.7184E-05 2.7558E-05 2.7939E-05 2.8328E-05 2.8724E-05 2.9128E-05 2.9539E-05 2.9959E-05 3.0387E-05 3.0824E-05 3.1269E-05 3.1724E-05 3.2187E-05 3.266E-05 3.3143E-05 3.3635E-05 3.4138E-05 3.4652E-05 3.5176E-05 3.5711E-05 3.6257E-05 3.6815E-05 3.7385E-05 3.7968E-05 3.8563E-05 3.917E-05 3.9792E-05 4.0426E-05 4.1075E-05 2.593E-05 16.721025 968.948746 2.628E-05 16.7217487 985.670495 2.6637E-05 16.7224862 1002.39298 2.7001E-05 16.7232377 1019.11622 2.7371E-05 16.7240035 1035.84022 2.7749E-05 16.7247841 1052.56501 2.8133E-05 16.7255797 1069.29059 2.8526E-05 16.7263908 1086.01698 2.8926E-05 16.7272177 1102.74419 2.9333E-05 16.7280609 1119.47226 2.9749E-05 16.7289207 1136.20118 3.0173E-05 16.7297976 1152.93097 3.0605E-05 16.730692 1169.66167 3.1046E-05 16.7316043 1186.39327 3.1496E-05 16.7325351 1203.1258 3.1955E-05 16.7334847 1219.85929 3.2424E-05 16.7344538 1236.59374 3.2901E-05 16.7354427 1253.32919 3.3389E-05 16.7364521 1270.06564 3.3887E-05 16.7374824 1286.80312 3.4395E-05 16.7385343 1303.54165 3.4914E-05 16.7396082 1320.28126 3.5443E-05 16.7407049 1337.02197 3.5984E-05 16.7418249 1353.76379 3.6536E-05 16.7429688 1370.50676 3.71E-05 16.7441374 1387.2509 3.7676E-05 16.7453312 1403.99623 3.8265E-05 16.746551 1420.74278 3.8866E-05 16.7477976 1437.49058 3.9481E-05 16.7490717 1454.23965 4.0109E-05 16.750374 1470.99002 4.0751E-05 16.75170531487.74173 4.1407E-05 16.7530666 1504.4948 19.5 19.4 19.3 19.2 19.1 19 18.9 18.8 18.7 18.6 18.5 18.4 18.3 18.2 18.1

18 17.9 17.8 17.7 17.6 17.5 17.4 17.3 17.2 17.1 17 16.9 16.8 16.7 16.6 16.5 16.4 16.3 16.2 16.1 16 15.9 15.8 15.7 15.6 15.5 1314 1.01218 1306.7 1.01783 1299.4 1.02355 1292.1 1.02933 1284.8 1.03518 1277.5 1.0411 1270.2 1.04708 1262.9 1.05313 1255.6 1.05925 1248.3 1.06545 1241 1.07172 1233.7 1.07806 1226.4 1.08447 1219.1 1.09097 1211.8 1.09754 1204.5 1.10419 1197.2 1.11093 1189.9 1.11774 1182.6 1.12464 1175.3 1.13163 1168 1.1387 1160.7 1.14586 1153.4 1.15311 1146.1 1.16046 1138.8 1.1679 1131.5 1.17543 1124.2 1.18306 1116.9 1.1908 1109.6 1.19863 1102.3 1.20657 1095 1.21461 1087.7 1.22276 1080.4 1.23103 18.0159 17.9161 17.8163 17.7165 17.6166 17.5168 17.417 17.3172 17.2174 17.1176 17.0178 16.918 16.8183 16.7185 16.6187 16.5189 16.4192 16.3194 16.2196 16.1199 16.0201 15.9204 15.8206 15.7209 15.6212 15.5215 15.4217 15.322 15.2223 15.1226 15.0229 14.9232 14.8235 17.9161 0.09982 12.055 17.8163 0.09982 12.0101 17.7165 0.09982 11.965 17.6166 0.09981 11.9197 17.5168 0.09981 11.8743 17.417 0.09981 11.8287 17.3172 0.0998 11.7829 17.2174 0.0998 11.737 17.1176 0.0998 11.6909 17.0178 0.09979 11.6446 16.918 0.09979 11.5981 16.8183 0.09978 11.5515 16.7185 0.09978 11.5047 16.6187 0.09978 11.4577 16.5189 0.09977 11.4105 16.4192 0.09977 11.3632 16.3194 0.09976 11.3157 16.2196 0.09976 11.268 16.1199 0.09976 11.2201 16.0201 0.09975 11.1721 15.9204 0.09975 11.1238 15.8206 0.09974 11.0754 15.7209 0.09974 11.0268 15.6212 0.09973 10.978 15.5215 0.09973 10.929 15.4217 0.09972 10.8798 15.322 0.09971 10.8304 15.2223 0.09971 10.7809 15.1226 0.0997 10.7311 15.0229 0.0997 10.6812 14.9232 0.09969 10.6311 14.8235 0.09969 10.5807 14.7239 0.09968 10.5302 4.1739E-05 4.2417E-05 4.3111E-05 4.382E-05 4.4546E-05 4.5288E-05 4.6048E-05 4.6825E-05 4.762E-05 4.8434E-05 4.9268E-05 5.0121E-05 5.0995E-05 5.189E-05 5.2806E-05 5.3746E-05 5.4708E-05 5.5694E-05 5.6705E-05 5.7741E-05 5.8803E-05 5.9892E-05 6.101E-05 6.2156E-05 6.3332E-05 6.4539E-05 6.5777E-05 6.7048E-05 6.8354E-05 6.9694E-05 7.1071E-05 7.2485E-05 7.3939E-05 4.2078E-05 16.7544586 1521.24925 4.2764E-05 16.7558822 1538.00514 4.3466E-05 16.7573384 1554.76248 4.4183E-05 16.7588282 1571.5213 4.4917E-05 16.7603525 1588.28166 4.5668E-05 16.7619123 1605.04357 4.6436E-05 16.7635087 1621.80708 4.7223E-05 16.7651429 1638.57222 4.8027E-05 16.7668158 1655.33904 4.8851E-05 16.7685289 1672.10756 4.9694E-05 16.7702832 1688.87785 5.0558E-05 16.7720801 1705.64993 5.1442E-05 16.7739208 1722.42385 5.2348E-05 16.7758068 1739.19966 5.3276E-05 16.7777395 1755.9774 5.4227E-05 16.7797203 1772.75712 5.5201E-05 16.7817508 1789.53887 5.6199E-05 16.7838327 1806.3227 5.7223E-05 16.7859674 1823.10867 5.8272E-05 16.7881569 1839.89682 5.9348E-05 16.7904029 1856.68723 6.0451E-05 16.7927072 1873.47993 6.1583E-05 16.7950719 1890.27501 6.2744E-05 16.7974989 1907.0725 6.3935E-05 16.7999903 1923.87249 6.5158E-05 16.8025484 1940.67504 6.6413E-05 16.8051753 1957.48022 6.7701E-05 16.8078736 1974.28809 6.9024E-05 16.8106457 1991.09874 7.0383E-05 16.8134942 2007.91223 7.1778E-05 16.8164217 2024.72865 7.3212E-05 16.8194311 2041.54808 7.4685E-05 16.8225254 2058.37061 15.4 15.3 15.2 15.1 15 14.9 14.8

1073.1 1065.8 14.7 14.6 14.5 14.4 14.3 14.2 14.1 1058.5 1051.2 1043.9 1036.6 1029.3 1022 1014.7 1007.4 1000.1 14 13.9 13.8 992.8 13.7 13.6 13.5 13.4 13.3 13.2 13.1 13 12.9 12.8 12.7 985.5 978.2 970.9 963.6 956.3 949 941.7 934.4 927.1 919.8 912.5 905.2 897.9 890.6 1.2394 14.7239 1.24789 14.6242 1.2565 14.5245 1.26522 14.4249 1.27407 14.3252 1.28304 14.2256 1.29214 14.1259 1.30137 14.0263 1.31073 13.9267 1.32023 13.8271 1.32987 13.7275 1.33965 13.6279 1.34957 13.5283 1.35964 13.4287 1.36986 13.3291 1.38024 13.2296 1.39078 13.13 1.40148 13.0305 1.41234 12.931 1.42337 12.8315 1.43458 12.732 1.44597 12.6325 1.45753 12.533 1.46929 12.4335 1.48123 12.3341 1.49338 12.2346 1.50572 12.1352 1.51826 12.0358 1.53102 11.9364 14.6242 14.5245 14.4249 14.3252 14.2256 14.1259 14.0263 13.9267 13.8271 13.7275 13.6279 13.5283 13.4287 13.3291 13.2296 13.13 13.0305 12.931 12.8315 12.732 12.6325 12.533 12.4335 12.3341 12.2346 12.1352 12.0358 11.9364 11.837 0.09967 10.4795 7.5432E-05 7.62E-05 16.8257076 2075.19632 0.09967 10.4286 7.6967E-05 7.7756E-05 16.8289808 2092.0253 0.09966 10.3775 7.8545E-05 7.9357E-05 16.8323486 2108.85765 0.09965 10.3261 8.0168E-05 8.1003E-05 16.8358143 2125.69346 0.09964 10.2746 8.1837E-05 8.2696E-05 16.8393816 2142.53284 0.09964 10.2229 8.3555E-05 8.4438E-05 16.8430543 2159.3759 0.09963 10.1709 8.5321E-05 8.6231E-05 16.8468365 2176.22273 0.09962 10.1188 8.714E-05 8.8076E-05 16.8507322 2193.07347 0.09961 10.0665 8.9011E-05 8.9975E-05 16.854746 2209.92821 0.0996 10.0139 9.0939E-05 9.1931E-05 16.8588824 2226.78709 0.09959 9.96116 9.2923E-05 9.3945E-05 16.8631461 2243.65024 0.09959 9.90818 9.4967E-05 9.6021E-05 16.8675423 2260.51778 0.09958 9.855 9.7074E-05 9.8159E-05 16.8720762 2277.38986 0.09957 9.8016 9.9244E-05 0.00010036 16.8767534 2294.26661 0.09956 9.74799 0.00010148 0.00010264 16.8815795 2311.14819 0.09955 9.69416 0.00010379 0.00010498 16.8865609 2328.03475 0.09954 9.64012 0.00010617 0.00010739 16.8917038 2344.92646 0.09953 9.58586 0.00010862 0.00010989 16.897015 2361.82347 0.09951 9.53138 0.00011115 0.00011246 16.9025016 2378.72597 0.0995 9.47667 0.00011377 0.00011512 16.908171 2395.63414 0.09949 9.42175 0.00011646 0.00011786 16.914031 2412.54817 0.09948 9.3666 0.00011925 0.00012069 16.9200899 2429.46826 0.09947 9.31122 0.00012213 0.00012361 16.9263563 2446.39462 0.09945 9.25562 0.0001251 0.00012664 16.9328394 2463.32746 0.09944 9.1998 0.00012817 0.00012976 16.9395489 2480.26701 0.09943 9.14374 0.00013135 0.00013299 16.9464948 2497.2135 0.09941 9.08745 0.00013463 0.00013633 16.9536879 2514.16719 0.0994 9.03093 0.00013803 0.00013979 16.9611395 2531.12833 0.09938 8.97417 0.00014154 0.00014336 16.9688617 2548.09719 0.09936 8.91718 0.00014518 0.00014706 16.9768669 2565.07406 0.09935 8.85996 0.00014895 0.0001509 16.9851685 2582.05923 0.09933 8.80249 0.00015285 0.00015487 16.9937808 2599.05301 0.09931 8.74479 0.00015689 0.00015898 17.0027187 2616.05573 12.6 12.5 12.4 12.3 12.2 12.1 883.3 876 12 11.9 11.8 868.7 861.4 11.837 11.7 854.1 846.8 1.544 1.55719 1.57062 1.58428 11.7377 11.6383 11.539 11.4397 11.7377 11.6383 11.539 11.6 11.5 839.5

11.4 113 112 111 11 109 10.8 10.7 10.6 10.5 10.4 10.3 10.2 10.1 10 99 9.8 9.7 9.6 95 832.2 1.59817 11.4397 11.3404 0.09929 8.68685 0.00016107 0.00016324 17.0119979 2633.06773 8249 1.61232 11.3404 11.2411 0.09928 8.62866 0.00016541 0.00016766 17.0216355 2650.08936 817.5 1.62671 11.2411 111418 0.09926 8.57023 0.00015991 0.00017224 17.031649 2667.12101 810.3 1.64137 11.1418 11.0426 0.09924 8.51155 0.00017458 0.00017 17.0420576 2684.16307 803 1.65629 11.0426 10.9434 0.09921 8.45263 0.00017942 0.00018193 17.0528813 2701.21595 795.7 1.67148 10.9434 10.8442 0.09919 8.39346 0.00018445 0.00018706 17.0641413 2718.28009 788.4 1.68696 10.8442 10.745 0.09917 8.33404 0.00018967 0.00019238 17.0758606 2735.35595 781.1 170273 10.745 10.6459 0.09915 8.27436 0.00019509 0.00019791 17.0880632 2752.44401 773.8 171879 10.6459 10.5468 0.09912 8.21444 0.00020072 0.00020365 17.1007749 2769.54479 766.5 1.73516 10.5468 10.4477 0.0991 8.15426 0.00020658 0.00020962 17.1140232 2786.65881 759.2 175184 10.4477 10.3486 0.09907 8.09382 0.00021267 0.00021584 17.1278373 2803.78665 7519 1.76885 10.3486 10.2495 0.09904 8.03312 0.00021901 0.0002223 17.1422485 2820.9289 744.6 1.78619 10.2495 10.1505 0.09901 7.97216 0.0002256 0.00022904 17.1572903 2838.08619 737.3 1.80388 10.1505 10.0515 0.09898 791094 0.00023247 0.00023604 17.1729983 2855.25919 730 1.82192 10.0515 9.95259 0.09895 7.84946 0.00023962 0.00024335 17.1894108 2872.4486 722.7 1.84032 995259 9.85367 0.09892 7.78772 0.00024707 0.00025096 17.2065688 2889.65517 715.4 1.8591 9.85367 9.75478 0.09889 7.7257 0.00025484 0.0002589 17.22451612906.87968 708.1 1.87827 9.75478 9.65593 0.09885 7.66342 0.00026295 0.00026718 17.2433 2924.12298 700.8 1.89783 9.65593 9.55711 0.09882 7.60087 0.00027141 0.00027582 17.2629712 2941.38595 693.5 191781 9.55711 9.45833 0.09878 7.53804 0.00028023 0.00028484 17.283584 2958.66954 686.2 1.93821 9.45833 9.35959 0.09874 7.47495 0.00028945 0.00029427 17.3051971 2975.97474 678.9 1.95905 9.35959 9.2609 0.0987 7.41157 0.00029909 0.00030412 17.3278739 2993.30261 671.6 1.98035 9.2609 9.16224 0.098657.34792 0.00030916 0.00031443 17.3516824 3010.65429 664.3 2.00211 9.16224 9.06363 0.09861 7.28399 0.0003197 0.00032521 17.3766965 3028.03099 657 2.02435 9.06363 8.96507 0.09856 7.21978 0.00033072 0.00033649 17.4029957 3045.43398 649.7 2.0471 8.96507 8.86656 0.09851 7.15529 0.00034226 0.00034831 17.4306663 3062.86465 642.4 2.07036 8.86656 8.7681 0.09846 7.09051 0.00035436 0.0003607 17.459802 3080.32445 635.1 2.09416 8.7681 8.66969 0.09841 7.02544 0.00036704 0.00037368 17.4905044 3097.81496 627.8 2.11851 8.66969 8.57134 0.09835 6.96009 0.00038033 0.00038731 17.5228838 3115.33784 620.5 2.14343 8.57134 8.47305 0.09829 6.89444 0.00039428 0.00040161 17.5570606 3132.8949 613.2 2.16895 8.47305 8.37482 0.09823 6.82851 0.00040893 0.00041663 17.593166 3150.48807 6059 2.19508 8.37482 8.27666 0.09816 676228 0.CQ42432 0.00043241 17.6313431 3168.11941 598.6 2.22185 8.27666 8.17856 0.0981 6.69575 0.00044051 0.00044902 17.6717486 3185.79116 9.4 9.3 9.2 9.1 9 8.9 8.8 8.7 8.6 8.5 8.4 8.3 8.2

591.3 8.1 8 7.9 7.8 7.7 7.6 584 576.7 569.4 562.1 554.8 5475 540.2 532.9 525.6 518.3 7.5 7.4 7.3 7.2 7.1 7 6.9 6.8 6.7 511 503.7 195.4 4891 481.8 6.6 6.5 6.4 4745 467.2 2.24928 8.17856 8.08054 2.2774 8.08054 7.98259 2.30623 7.98259 788472 2.33579 7.88472 7.78693 2.36613 7.78693 7.68924 2.39726 7.68924 7.59163 2.42922 7.59163 7.19413 2.46205749413 7.39672 2.49578 7.39672 7.29943 2.530447.29943 7.20225 2.56608 7.20225 7.10519 2.60274 7.10519 7.00825 2.64046 7.00826 6.91147 2.67929 691147 6.81482 2.71928 6.81482 6.71833 276048 6.71833 6.622 2.80295 6.622 6.52584 2.84675 6.52584 6.42986 2.89193 6.42986 6.33409 2.93858 6.33409 6.23852 2.98675 6.23852 6.14318 3.03653 6.14318 6.04807 3.088 6.04807 5.95322 3.14124 5.95322 5.85864 3.19635 5.85864 5.76436 3.25342 5.76436 5.67039 3.31258 5.67039 5.57676 3.37392 5.57676 5.48349 3.43758 5.48349 5.39062 3.50369 5.39062 5.29817 3.57239 5.29817 5.20617 3.64384 5.20617 5.11467 3.7182 5.11467 5.02371 0.09802 6.62892 0.00045753 0.00046649 17.7145542 3203.50571 0.09795 6.5618 0.0C047545 0.00048488 17.7599485 3221.26566 0.09787 6.49437 0.00049432 0.00050427 17.8081387 3239.0738 0.09779 6.42654 0.CC051421 0.00 52471 17.8593533 3256.93315 0.0977 6.3586 0.0005352 0.00054627 17.9138445 3274.847 0.0976 6.29025 0.00055735 0.00056905 17.9718913 3292.81889 0.09751 6.22159 0.00058075 0.00059311 18.0338035 3310.85269 0.0974 6.15252 C.CC060548 0.00 61857 18.0999249 3328.95262 0.09729 6.08333 0.00063165 0.0C06455 18.1706393 3347.12326 0.09718 6.01373 0.0C065936 0.00067404 18.2463749 3365.36963 0.09706 5.94381 0.00068872 0.00070429 18.327612 3383.69724 0.09693 5.87356 0.00071986 0.00073638 18.4148901 3402.11213 0.09679 5.803 0.00075291 0.00077047 18.5088174 3420.62095 0.09665 5.7321 0.cc_78803 0.0008067 18.610_817 3439.23103 0.09649 5.66088 0.00082537 0.00084525 18.7194635 3457.9505 0.09633 5.58933 0.00086512 0.0008863 18.8378523 3476.78835 0.09616 5.51744 0.00090747 0.00093006 18.9662651 3495.75461 0.09597 5.44522 0.00095264 0.00097676 19.1058703 3514.86048 0.09578 5.37266 0.00100087 0.00102664 19.2580157 3534.1185 0.09557 5.29977 0.00105241 0.00107999 19.4242647 3553.54276 0.09534 5.22653 0.00110756 0.0011371 19.6064395 3573.1492 0.09511 5.15294 0.00116664 0.00119831 19.8066764 3592.95588 0.09485 5.07901 0.00122999 0.00126401 20.0274959 3612.98338 0.09458 5.00473 0.00129802 0.00133459 20.2718916 3633.25527 0.09428 4.9300g 0.0013716 0.00141053 20.5434452 3653.79871 0.09397 4.85511 0.0014499 0.00149233 20.8464772 3674.64519 0.09363 4.77976 0.00153477 0.00158059 21.1862454 3695.83144 0.09327 4.70406 0.0016264 0.00167593 21.5692115 3717.40065 0.09287 4.62799 0.00172545 0.00177908 22.0034039 3739.40405 0.09245 4.55156 0.00 18327 0.00189085 22.4989195 3761.90297 0.09199 4.47476 0.001949 0.00201216 23.0686324 37849716 0.09154.39759 0.00207532 0.00214404 23.7292132 3808.70082 0.09096 4.32005 0.00221276 0.00228766 24.5026342 3833.20345 63 4599 452.6 6.2 6.1 6 445.3 438 430.7 423.4 5.9 416.1 5.8 5.7 5.6 55 5.4 5.3 408.8 4015 394.2 3869 379.6 372.3 365 357.7 5.2 5.1 5 49

4.8 4.7 4.6 4.5 4.4 4.3 4.2 4.1 350.4 343.1 335.8 328.5 321.2 313.9 306.6 299.3 292 284.7 277.4 270.1 262.8 261.778 3.79566 5.02371 4.93333 3.87642 4.93333 4.84359 3.96069 4.84359 4.75453 4.04871 4.75453 4.66624 4.14072 4.66624 4.57876 4.23702 4.57876 4.4922 4.3379 4.4922 4.40662 4.4437 4.40662 4.32215 4.55479 4.32215 4.23888 4.67158 4.23888 4.15695 4.79452 4.15695 4.0765 4.9241 4.0765 3.99771 5.06088 3.99771 3.98682 5.08064 3.98682 0 0.09038 4.24213 0.00236256 0.00244435 25.418451 3858.6219 0.08974 4.16383 0.00252614 0.00261562 26.5173729 3885.13927 0.08905 4.08516 0.0027051 0.0028032 27.8570592 3912.99633 0.0883 4.0061 0.00290129 0.00300905 29.5219484 3942.51828 0.08747 3.92665 0.0031168 0.00323544 31.6408234 3974.15911 0.08657 3.84681 0.00335408 0.00348498 34.4202881 4008.57939 0.08557 3.76658 0.00361589 0.00376069 38.2139601 4046.79335 0.08448 3.68596 0.00390549 0.00406606 43.6814533 4090.47481 0.08327 3.60494 0.00422663 0.00440515 52.2105984 4142.68541 0.08193 3.52351 0.00458368 0.00478271 67.3052197 4209.99062 0.08044 3.44169 0.00498175 0.00520431 101.101138 4311.09176 0.07879 3.35945 0.00542687 0.00567651 243.566956 4554.65872 0.01089 3.27681 0.00592614 0.00596347 298.109537 4852.76826 3.98682 3.2652 0.00600081 0.00300041 1329.12072 6181.88898 Total distanc 6181.88898 4 3.9 3.8 3.7 3.6 3.586 Maximum velocity = 5.08064 Depth of flow at X = at X = 1991.1 Y= 15.2 15.1 2007.91 Y= at x = 2000 Y= 15.1471 Answers a) distance affected due to weir = 6181.89 ft

b) Yes the velocity in the channel is in permissible limits. as the permissible velocity in the given channel is = 6.0 fps Maximum velocity in the channel is = 5.08 fps so the velocity is in permissible limits c) Depth of flow below bridge = 15.15 ft So for safety provide atleast 15.15 ft elevation from the ground