Ejemplo Vertedero Rectangular

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Hoja1Se ha diseado un canal trapezoidal revestido para conducir un caudal de 4 m3/scon una pendiente longitudinal de 2 por mil.A efectos de medir los caudales realmente circulantes en el canal, se tiene previstoinstalar un vertedero rectangular de 1.50 m de longitud de cresta,la misma que se ha de situar a 80 cm del fondo del canal.Se pide:a) Determinar la carga de agua sobre la cresta del vertedero si descarga sobre l el caudal de diseo.b) De forma general, establecer la curva de calibracin del vertedero: Q vs H.Diseo del canal:Al tratarse de un canal revestido, ser razonbale adoptar el criterio de la SME comobase para el diseo.Q =4m3/sS =0.002t =1(al ser revestido)n =0.014(al ser revestido)b/h =0.828(SME de talud dado)h (asum) =1.032m b =0.855mA =1.947m2P =3.773mQ =4.000m3/sClculo hidrulico en el vertedero:Q =4m3/sL =1.5mCd =0.6H (asum) =1.313mQ =4.000m3/sPara un clculo ms preciso debe incorporarse la velocidad de aproximacinen el anlisis.hcanal =2.113mAcanal =6.272m2V =0.638m/shv =0.021mH (asum) =1.294mQ =4.000m3/sCurva de calibracin del vertedero (relacin Q vs H)L =1.5mCd =0.6H (m)Qaproxhcanal (m)Acanal (m)V (m/s)hv (m)Q (m3/s)0.050.02970.851.4490.0210.000020.02970.100.08400.901.5790.0530.000140.08420.150.15440.951.7150.0900.000410.15500.200.23771.001.8550.1280.000840.23910.250.33221.052.0000.1660.001410.33490.300.43671.102.1500.2030.002100.44100.350.55031.152.3060.2390.002900.55680.400.67231.202.4660.2730.003790.68130.450.80231.252.6310.3050.004740.81410.500.93961.302.8010.3350.005730.95470.551.08401.352.9760.3640.006761.10260.601.23521.403.1570.3910.007801.25750.651.39271.453.3420.4170.008851.41910.701.55651.503.5320.4410.009901.58700.751.72621.553.7270.4630.010931.76100.801.90171.603.9280.4840.011951.94100.852.08271.654.1330.5040.012942.12660.902.26921.704.3430.5220.013912.31760.952.46091.754.5580.5400.014852.51401.002.65771.804.7790.5560.015772.71551.052.85951.855.0040.5710.016642.92201.103.06611.905.2340.5860.017493.13341.153.27751.955.4690.5990.018303.34951.203.49362.005.7100.6120.019083.57031.253.71422.055.9550.6240.019833.79551.303.93932.106.2050.6350.020544.0252H (m)Q (m3/s)0.000.000.050.0300.100.0840.150.1550.200.2390.250.3350.300.4410.350.5570.400.6810.450.8140.500.9550.551.1030.601.2580.651.4190.701.5870.751.7610.801.9410.852.1270.902.3180.952.5141.002.7161.052.9221.103.1331.153.3501.203.5701.253.7961.304.025H (m)Q (m3/s)0.000.000.050.0300.100.0840.150.1550.200.2390.250.3350.300.4410.350.5570.400.6810.450.8140.500.9550.551.1030.601.2580.651.4190.701.5870.751.7610.801.941H (m)Q (m3/s)0.852.1271.233.7040.902.3180.952.5141.002.7161.052.9221.103.1331.153.3501.203.5701.253.7961.304.025