Ogee Spillway Rwanda
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INPUT DATA Design Flood (Q) = 40 Discharge Coeff. (C) = 0.744 Clear waterway = 20 m Number of spans = 1 Thickness of piers = 0 m 20 m Height of spillway (P) = 4.65 m Discharge Coeff Cd = 2.197 Head over spillway (H) = 0.939 m Approach Velocity (Va) = 0.358 m/s Velocity head (Ha) = 0.007 m Design Head (Hd) = 0.946 m P/Hd = 4.916 A1/Hd = 0.28 A1 = 0.27 B1/Hd = 0.165 B1 = 0.16 K2 = 2.0 SPILLWAY EQUATIONS Equation of Ellipse 1 0.0729 0.0256 S.No. q° r x y E1 0 0.2700 0.2700 0.0000 E2 5 0.2681 0.2671 0.0234 0. E3 10 0.2628 0.2588 0.0456 0. E4 15 0.2547 0.2460 0.0659 0 m 3 /s Effective Length of spillway (L) = CALCULATIONS ( IS 6934 : 1998 ) x 2 +
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Transcript of Ogee Spillway Rwanda
Free overflowINPUT DATADesign Flood (Q) =40m3/s
Discharge Coeff. (C) =0.744
Clear waterway =20m(between abutments)
Number of spans =1
Thickness of piers =0m
Effective Length of spillway (L) =20m(reduce L(waterway excluding thickness of piers), 5% from actual waterway to include pier and abutment contractions)
Height of spillway (P) =4.65m
CALCULATIONS (IS 6934 : 1998)
Discharge Coeff Cd =2.197(range 1.8-2.2)Head over spillway (H) =0.939m
Approach Velocity (Va) =0.358m/s
Velocity head (Ha) =0.007m
Design Head (Hd) =0.946m
P/Hd =4.916(check discharge coefficient C above if it matches from the graph)
A1/Hd =0.28A1 =0.27B1/Hd =0.165B1 =0.16K2 =2.0SPILLWAY EQUATIONSEquation of Ellipsex2 + y2 =10.0729 0.0256S.No.qrxyx,yE100.27000.27000.00000.27 , 0E250.26810.26710.02340.2671 , 0.0234E3100.26280.25880.04560.2588 , 0.0456E4150.25470.24600.06590.246 , 0.0659E5200.24480.23010.08370.2301 , 0.0837E6250.23410.21220.09890.2122 , 0.0989E7300.22330.19340.11170.1934 , 0.1117E8350.21290.17440.12210.1744 , 0.1221E9400.20330.15580.13070.1558 , 0.1307E10450.19470.13760.13760.1376 , 0.1376E11500.18700.12020.14330.1202 , 0.1433E12550.18040.10350.14780.1035 , 0.1478E13600.17480.08740.15140.0874 , 0.1514E14650.17020.07190.15420.0719 , 0.1542E15700.16640.05690.15640.0569 , 0.1564E16750.16360.04230.15800.0423 , 0.158E17800.16160.02810.15910.0281 , 0.1591E18850.16040.01400.15980.014 , 0.1598E19900.16000.00000.16000 , 0.16Equation of Parabolax1.85 = 2 * ( 0.94^0.85 ) * yS.No.yxx,y (y inverted)P1000,0P20.020.17060.1706,-0.02P30.040.24810.2481,-0.04P40.060.30890.3089,-0.06P50.080.36080.3608,-0.08P60.10.40710.4071,-0.1P70.150.50680.5068,-0.15P80.20.59210.5921,-0.2P90.40.86120.8612,-0.4P100.61.07231.0723,-0.6P110.81.25271.2527,-0.8P1211.41331.4133,-1P131.21.55961.5596,-1.2P141.41.69521.6952,-1.4P151.61.8221.822,-1.6P161.81.94181.9418,-1.8P1722.05562.0556,-2P182.22.16432.1643,-2.2P192.42.26852.2685,-2.4P202.62.36882.3688,-2.6P212.82.46562.4656,-2.8P2232.55932.5593,-3P233.22.65022.6502,-3.2P243.42.73852.7385,-3.4P253.62.82442.8244,-3.6P263.82.90822.9082,-3.8P2742.98992.9899,-4P284.23.06983.0698,-4.2P294.43.1483.148,-4.4P304.63.22453.2245,-4.6P314.653.24343.2434,-4.65SPILLWAY PROFILES.No.S.No.xyCoord for AutoCAD(copy these and paste special (only values) on tab "coord for autocad" )1V10.00000.00000,02V20.00004.49000,4.493E20.00294.51340.0029,4.51344E30.01124.53560.0112,4.53565E40.02404.55590.024,4.55596E50.03994.57370.0399,4.57377E60.05784.58890.0578,4.58898E70.07664.60170.0766,4.60179E80.09564.61210.0956,4.612110E90.11424.62070.1142,4.620711E100.13244.62760.1324,4.627612E110.14984.63330.1498,4.633313E120.16654.63780.1665,4.637814E130.18264.64140.1826,4.641415E140.19814.64420.1981,4.644216E150.21314.64640.2131,4.646417E160.22774.64800.2277,4.64818E170.24194.64910.2419,4.649119E180.25604.64980.256,4.649820E190.27004.65000.27,4.6521P20.44064.63000.4406,4.6322P30.51814.61000.5181,4.6123P40.57894.59000.5789,4.5924P50.63084.57000.6308,4.5725P60.67714.55000.6771,4.5526P70.77684.50000.7768,4.527P80.86214.45000.8621,4.4528P91.13124.25001.1312,4.2529P101.34234.05001.3423,4.05Provide radius at toe with 60 sector of a circle =P/430P111.52273.85001.5227,3.851.165 m31P121.68333.65001.6833,3.6532P131.82963.45001.8296,3.4533P141.96523.25001.9652,3.2534P152.09203.05002.092,3.0535P162.21182.85002.2118,2.8536P172.32562.65002.3256,2.6537P182.43432.45002.4343,2.4538P192.53852.25002.5385,2.2539P202.63882.05002.6388,2.0540P212.73561.85002.7356,1.8541P222.82931.65002.8293,1.6542P232.92021.45002.9202,1.4543P243.00851.25003.0085,1.2544P253.09441.05003.0944,1.0545P263.17820.85003.1782,0.85000000000000146P273.25990.65003.2599,0.6547P283.33980.45003.3398,0.4548P293.41800.25003.418,0.2549P303.49450.05003.4945,0.050000000000000750P313.51340.00003.5134,0
coord for autocad0,00,3.440.0106,3.52310.0411,3.6020.0876,3.67380.1455,3.73640.2101,3.78970.2777,3.83390.3455,3.87030.412,3.89980.4763,3.92370.538,3.9430.597,3.95840.6536,3.97070.708,3.98040.7606,3.98780.8117,3.99330.8618,3.99710.9111,3.99930.96,41.2736,3.981.4161,3.961.5279,3.941.6235,3.921.7085,3.91.8919,3.852.0487,3.82.5436,3.62.9316,3.43.2633,3.23.5586,33.8277,2.84.0769,2.64.3102,2.44.5304,2.24.7397,24.9395,1.85.1312,1.65.3156,1.45.4936,1.25.6659,15.8329,0.85.9953,0.66.1533,0.46.3073,0.26.4576,0
