TRAP.TXT TRAPEZOIDAL CHANNEL PROGRAM TRAPEZOIDAL CHANNEL PROGRAM DOCUMENTATION: Written in house using Manning's equation and standard step backwater procedure. PURPOSE: To calculate: 1. Normal depth and velocity. 2. Critical depth and velocity. 3. Run water surface profiles. EXAMPLE: ================================================== ######### NORMAL & CRITICAL DEPTHS FOR A TRAPEZOIDAL CHANNEL ########## ================================================== NORMAL AND CRITICAL DEPTHS FOR A TRAPEZOIDAL CHANNEL ENTER DISCHARGE,Q, IN CFS? 400 ENTER MANNINGS N? .035 ENTER CHANNEL SLOPE, FEET/FEET.? .005 ENTER BOTTOM WIDTH IN FEET? 8 ENTER LEFT SIDE SLOPE, (X1):1? 3 ENTER RIGHT SIDE SLOPE, (X2):1? 3 IS DATA CORRECT? YES=0 NO=1? 0 If NO, (enter 1) then P.C. will ask the above questions over. Assume that the above trapezoidal channel extends 340 feet upstream of a culvert with a headwater of 5.5 feet and we would like to find the depth and the velocity of the channel at 340 feet upstream of the culvert. Use 5.5 feet as the initial depth and 3.86 (normal depth) as the final depth. P.C.'s OUTPUT $$$$ INPUT DATA $$$$ DISCHARGE = 400 CFS MANNING'S N = 0.035 SLOPE =0.00500 BASE WIDTH = 8.0 FT LEFT SIDE SLOPE = 3.0 RIGHT SIDE SLOPE = 3.0 NORMAL DEPTH = 3.86 FT NORMAL VELOCITY = 5.28 FPS CRITICAL DEPTH = 2.98 FEET CRITICAL VELOCITY = 7.92 FPS ####### WATER SURFACE PROFILE ####################### $$$$ INPUT DATA $$$$ INITIAL DEPTH = 5.5 FINAL DEPTH = 3.86 INCREMENT = 0.1 ///// OUTPUT ///// AN M-1 CURVE, CONTROL IS DOWNSTREAM DEPTH VEL DELTA SUM OF WAT AREA WET HYD FEET FPS X FT X'S,FT SURF SQ FT PER RAD 5.50 2.97 41.0 134.8 42.8 3.15 5.40 3.06 -23.4 -23.4 40.4 130.7 42.2 3.10 5.30 3.16 -23.9 -47.3 39.8 126.7 41.5 3.05 5.20 3.26 -24.3 -71.6 39.2 122.7 40.9 3.00 5.10 3.37 -24.9 -96.5 38.6 118.8 40.3 2.95 5.00 3.48 -25.6 -122.1 38.0 115.0 39.6 2.90 4.90 3.60 -26.4 -148.4 37.4 111.2 39.0 2.85 4.80 3.72 -27.3 -175.8 36.8 107.5 38.4 2.80 4.70 3.85 -28.6 -204.3 36.2 103.9 37.7 2.75 4.60 3.99 -30.1 -234.5 35.6 100.3 37.1 2.70 4.50 4.13 -32.2 -266.6 35.0 96.8 36.5 2.65 4.40 4.29 -35.0 -301.6 34.4 93.3 35.8 2.60 4.30 4.45 -38.9 -340.5 33.8 89.9 35.2 2.55 4.20 4.62 -45.0 -385.5 33.2 86.5 34.6 2.50 4.10 4.81 -55.5 -441.1 32.6 83.2 33.9 2.45 4.00 5.00 -77.6 -518.6 32.0 80.0 33.3 2.40 3.90 5.21 -152.5 -671.1 31.4 76.8 32.7 2.35 DEPTH HAS INCREMENTED ACROSS NORMAL OR CRITICAL DEPTH The above water surface profile started at 5.5 ft. and continued upstream (M-1 curve, sub-critical regime) and at 340 feet upstream it computed a depth and a velocity of 4.30 ft. and 4.45 fps respectively.