SPILLWAY DESIGN SGI

(Revision 1 - Excel Version) Completed - October 00

The program helps in the hydraulic design of surface spillways and related structures.

Structure of the File:Sheet ContentGen. Information This SheetCrest Geometry of Nappe-Shaped Crest Profiles;Ungated Rating Curve for Uncontrolled Ogee CrestsGated Discharge over Gate-Controlled Ogee CrestsSide Channel Rating Curve of Side Channel SpillwaysChute Hydraulics of Free Flow Discharge ChannelsSki Jump Hydraulics of Ski JumpsStilling Basin Hydraulics of Stilling Basins

Values of K Values of n Values of Xc/H0 Values of Yc/H0 Values of R1/H0 Values of R2/H0 Graph Data

Slope of U/S Face - H/V Slope of U/S Face - H/V Slope of U/S Face - H/V Slope of U/S Face - H/V Slope of U/S Face - H/V Slope of U/S Face - H/V x y Pt

ha/H0 0.000 0.333 0.667 1.000 0.000 0.333 0.667 1.000 0.000 0.333 0.667 1.000 0.000 0.333 0.667 1.000 0.000 0.333 0.667 1.000 0.000 0.333 0.667 1.000 -1.420 -0.635

0.00 0.499 0.499 0.526 0.540 1.872 1.852 1.803 1.780 0.284 0.246 0.214 0.200 0.127 0.092 0.069 0.045 0.531 0.531 0.445 0.452 0.235 0.144 0.214 100.000 -0.947 -0.282

0.01 0.501 0.501 0.528 0.540 1.867 1.846 1.795 1.775 0.284 0.246 0.214 0.200 0.127 0.052 0.067 0.045 0.531 0.531 0.458 0.452 0.228 0.153 0.214 100.000 -0.473 -0.071

0.02 0.503 0.503 0.530 0.540 1.861 1.841 1.787 1.770 0.284 0.246 0.214 0.200 0.127 0.012 0.066 0.044 0.531 0.531 0.471 0.452 0.222 0.162 0.214 100.000 0.000 0.0000.03 0.506 0.506 0.531 0.539 1.857 1.837 1.783 1.766 0.284 0.246 0.214 0.200 0.127 -0.028 0.065 0.044 0.531 0.531 0.480 0.452 0.217 0.168 0.214 100.000 0.466 -0.0310.04 0.508 0.508 0.532 0.539 1.852 1.832 1.779 1.762 0.263 0.238 0.212 0.198 0.110 0.085 0.064 0.043 0.510 0.552 0.488 0.461 0.212 0.173 0.257 100.000 0.931 -0.1120.05 0.510 0.510 0.531 0.538 1.849 1.828 1.774 1.758 0.263 0.238 0.212 0.198 0.110 0.085 0.062 0.043 0.510 0.556 0.492 0.461 0.210 0.178 0.257 100.000 1.397 -0.2370.06 0.511 0.511 0.531 0.537 1.845 1.824 1.770 1.755 0.263 0.238 0.212 0.198 0.110 0.085 0.061 0.042 0.510 0.559 0.497 0.461 0.208 0.182 0.257 100.000 1.863 -0.4040.07 0.512 0.512 0.530 0.536 1.842 1.821 1.768 1.752 0.263 0.238 0.212 0.198 0.110 0.085 0.059 0.042 0.510 0.560 0.499 0.461 0.205 0.186 0.257 100.000 2.329 -0.6120.08 0.512 0.512 0.530 0.535 1.838 1.818 1.766 1.750 0.242 0.228 0.209 0.195 0.093 0.076 0.058 0.041 0.486 0.559 0.499 0.465 0.203 0.189 0.303 100.000 2.794 -0.858

0.09 0.511 0.511 0.528 0.533 1.836 1.816 1.765 1.749 0.242 0.228 0.209 0.195 0.093 0.076 0.058 0.041 0.486 0.555 0.496 0.465 0.201 0.189 0.303 100.000 3.260 -1.1430.10 0.510 0.510 0.526 0.532 1.834 1.815 1.764 1.748 0.242 0.228 0.209 0.195 0.093 0.076 0.058 0.041 0.486 0.552 0.493 0.465 0.200 0.189 0.303 100.000 3.726 -1.464

0.11 0.508 0.508 0.524 0.528 1.832 1.813 1.764 1.748 0.242 0.228 0.209 0.195 0.093 0.076 0.058 0.040 0.486 0.543 0.485 0.465 0.199 0.189 0.303 100.000 4.192 -1.8220.12 0.506 0.506 0.522 0.525 1.831 1.812 1.763 1.748 0.219 0.212 0.201 0.190 0.075 0.068 0.052 0.039 0.459 0.535 0.478 0.461 0.199 0.194 0.357 100.000 4.657 -2.2160.13 0.503 0.503 0.518 0.522 1.830 1.812 1.764 1.748 0.219 0.212 0.201 0.190 0.075 0.068 0.052 0.043 0.459 0.522 0.461 0.457 0.198 0.195 0.372 100.000 5.123 -2.6450.14 0.499 0.499 0.515 0.518 1.830 1.811 1.764 1.749 0.219 0.212 0.201 0.190 0.075 0.068 0.052 0.047 0.459 0.509 0.445 0.454 0.197 0.195 0.388 100.000 5.589 -3.1080.15 0.495 0.495 0.511 0.514 1.830 1.811 1.765 1.751 0.219 0.212 0.201 0.190 0.075 0.068 0.052 0.051 0.459 0.493 0.421 0.450 0.196 0.196 0.405 100.000 6.054 -3.6060.16 0.490 0.490 0.507 0.510 1.831 1.812 1.766 1.753 0.195 0.190 0.186 0.180 0.061 0.056 0.045 0.035 0.423 0.476 0.398 0.446 0.196 0.196 100.000 100.000 6.520 -4.1380.17 0.485 0.485 0.502 0.504 1.832 1.813 1.768 1.755 0.195 0.190 0.180 0.177 0.061 0.056 0.045 0.033 0.423 0.455 0.380 0.441 0.196 0.196 100.000 100.000 6.986 -4.704 -4.7040.18 0.479 0.479 0.496 0.498 1.833 1.814 1.770 1.757 0.195 0.190 0.175 0.173 0.061 0.056 0.045 0.032 0.423 0.433 0.364 0.435 0.196 0.196 100.000 100.000 8.383 -6.4500.19 0.473 0.473 0.491 0.492 1.835 1.815 1.772 1.759 0.195 0.190 0.168 0.167 0.061 0.056 0.045 0.030 0.423 0.409 0.350 0.429 0.196 0.196 100.000 100.000

0.20 0.467 0.467 0.485 0.486 1.837 1.817 1.773 1.762 0.165 0.164 0.161 0.160 0.049 0.042 0.036 0.028 0.374 0.385 0.340 0.423 0.196 0.196 100.000 100.000

0.000 0.333 0.000 0.333 0.000 0.333 0.000 0.333 0.000 0.333 0.000 0.333

0.03 0.506 0.506 1.857 1.837 0.284 0.246 0.127 -0.028 0.531 0.531 0.217 0.1680.04 0.508 0.508 1.852 1.832 0.263 0.238 0.110 0.085 0.510 0.552 0.212 0.173

0.08 0.506 0.506 1.857 1.837 0.284 0.246 0.127 -0.028 0.531 0.531 0.217 0.1680.16 0.512 0.512 1.838 1.818 0.242 0.228 0.093 0.076 0.486 0.559 0.203 0.189

0.490 0.490 1.831 1.812 0.195 0.190 0.061 0.056 0.423 0.476 0.196 0.1960.506 0.531 1.837 1.783 0.246 0.214 -0.028 0.065 0.531 0.480 0.168 0.2140.512 0.530 1.818 1.766 0.228 0.209 0.076 0.058 0.559 0.499 0.189 0.3030.490 0.507 1.812 1.766 0.190 0.186 0.056 0.045 0.476 0.398 0.196 100.0000.531 0.539 1.783 1.766 0.214 0.200 0.065 0.044 0.480 0.452 0.214 100.0000.530 0.535 1.766 1.750 0.209 0.195 0.058 0.041 0.499 0.465 0.303 100.0000.507 0.510 1.766 1.753 0.186 0.180 0.045 0.035 0.398 0.446 100.000 100.000

0.508 0.508 1.852 1.832 0.263 0.238 0.110 0.085 0.510 0.552 0.212 0.1730.511 0.511 1.836 1.816 0.242 0.228 0.093 0.076 0.486 0.555 0.201 0.1890.485 0.485 1.832 1.813 0.195 0.190 0.061 0.056 0.423 0.455 0.196 0.1960.508 0.532 1.832 1.779 0.238 0.212 0.085 0.064 0.552 0.488 0.173 0.2570.511 0.528 1.816 1.765 0.228 0.209 0.076 0.058 0.555 0.496 0.189 0.3030.485 0.502 1.813 1.768 0.190 0.180 0.056 0.045 0.455 0.380 0.196 100.0000.532 0.539 1.779 1.762 0.212 0.198 0.064 0.043 0.488 0.461 0.257 100.0000.528 0.533 1.765 1.749 0.209 0.195 0.058 0.041 0.496 0.465 0.303 100.0000.502 0.504 1.768 1.755 0.180 0.177 0.045 0.033 0.380 0.441 100.000 100.000

ha Data and Calculations after

Rating Curve for Uncontrolled Ogee Crests Column Q - Not to be Modified

hd

H0 He

Main Input Data

Design Head - H0 (m) 5.00 H TW El.

Net Crest Length - L' (m) 200.00 DV

Number of Intermediate Piers 0 P

4.75 4,445.35.00 4,834.7 5.005.25 5,233.05.50 5,644.65.75 6,069.56.00 6,507.76.25 6,953.26.50 7,411.16.75 7,881.57.00 8,364.27.25 8,861.47.50 9,371.27.75 9,893.58.00 10,428.3

Q = C L He3/2

C = C0 Ch Ci (1-Cd )

L = L' - 2 ( n Kp + Ka ) He

4,000 5,000 6,000 7,000 8,000 9,000 10,000 11,000

0

1

2

3

4

5

6

7

8

9

Spillway Discharge Capacity

Discharge (m3/s)

He

ad

on

Cre

st

(m)

d/He C Gate Opening - d/H0 (%)5 10 15 20 30 40 50 60 70

0.050 0.7300 He d/He C Q d/He C Q d/He C Q d/He C Q d/He C Q d/He C Q d/He C Q d/He C Q d/He C Q0.075 0.7190 0.00 0 0 0 0 0 0 0 0 00.100 0.7130 0.50 0.500 0.667 900.125 0.7085 1.00 0.250 0.693 143 0.500 0.667 255 0.750 0.640 3310.150 0.7045 1.50 0.167 0.703 182 0.333 0.684 338 0.500 0.667 468 0.667 0.649 5690.175 0.7015 2.00 0.125 0.709 215 0.250 0.693 406 0.375 0.680 575 0.500 0.667 720 0.750 0.640 9360.200 0.6985 2.50 0.100 0.713 243 0.200 0.699 464 0.300 0.688 665 0.400 0.677 846 0.600 0.656 1144 0.800 0.635 13500.700 0.6455 3.00 0.083 0.717 269 0.167 0.703 516 0.250 0.693 746 0.333 0.684 957 0.500 0.667 1323 0.667 0.649 1608 0.833 0.631 1806

3.50 0.071 0.721 293 0.143 0.706 563 0.214 0.697 818 0.286 0.689 1057 0.429 0.674 1481 0.571 0.659 1834 0.714 0.644 2110 0.857 0.629 2301 1.000 0.614 23734.00 0.063 0.725 316 0.125 0.709 608 0.188 0.700 885 0.250 0.693 1148 0.375 0.680 1625 0.500 0.667 2036 0.625 0.653 2378 0.750 0.640 2647 0.875 0.627 28314.50 0.056 0.728 337 0.111 0.711 649 0.167 0.703 948 0.222 0.696 1233 0.333 0.684 1758 0.444 0.673 2222 0.556 0.661 2622 0.667 0.649 2955 0.778 0.637 32165.00 0.050 0.730 357 0.100 0.713 688 0.150 0.705 1006 0.200 0.699 1312 0.300 0.688 1882 0.400 0.677 2394 0.500 0.667 2846 0.600 0.656 3236 0.700 0.646 35625.50 0.045 0.732 376 0.091 0.715 726 0.136 0.707 1063 0.182 0.701 1387 0.273 0.691 1999 0.364 0.681 2555 0.455 0.672 3055 0.545 0.662 3497 0.636 0.652 38796.00 0.042 0.734 394 0.083 0.717 761 0.125 0.709 1116 0.167 0.703 1459 0.250 0.693 2109 0.333 0.684 2707 0.417 0.676 3251 0.500 0.667 3741 0.583 0.658 41746.50 0.038 0.735 411 0.077 0.719 796 0.115 0.710 1168 0.154 0.704 1527 0.231 0.695 2214 0.308 0.687 2851 0.385 0.679 3437 0.462 0.671 3971 0.538 0.663 44527.00 0.036 0.736 428 0.071 0.721 829 0.107 0.712 1217 0.143 0.706 1593 0.214 0.697 2314 0.286 0.689 2989 0.357 0.682 3614 0.429 0.674 4189 0.500 0.667 47147.50 0.033 0.737 443 0.067 0.723 862 0.100 0.713 1264 0.133 0.707 1657 0.200 0.699 2410 0.267 0.691 3120 0.333 0.684 3783 0.400 0.677 4398 0.467 0.670 49648.00 0.031 0.738 459 0.063 0.725 893 0.094 0.715 1311 0.125 0.709 1719 0.188 0.700 2503 0.250 0.693 3247 0.313 0.687 3945 0.375 0.680 4597 0.438 0.673 5202

Q = L 2/3 (2 g)0.5 C ( He3/2 - H23/2)

D/S Flow 910 D/S Water Depth 10.86 10.98Station 200.00 180 160 140 120 100 80 60 40 20 0 -20 -50 -100 -200.00 -300.00 -400.00y1 10.856 10.616 10.325 9.989 9.637 9.305 9.011 8.755 8.544 8.393 8.312 8.459 8.624 8.825 9.108 9.319W.Elevat1 10.859 10.622 10.334 10.001 9.652 9.323 9.032 8.779 8.571 8.423 8.345 8.497 8.669 8.885 9.183 9.409q1 9.67 8.49 7.13 5.66 4.25 3.04 2.10 1.38 0.86 0.55 0.00 0.00 0.00 0.00 0.00 0.00Q1 1103.21 1261.02 1389.70 1487.93 1558.50 1607.15 1639.44 1659.60 1671.55 1679.33 1677.82 1677.82 1677.82 1677.82 1677.82 1677.82Am1 305.51 296.85 286.44 274.60 262.39 251.04 241.12 232.60 225.61 220.69 218.04 222.86 228.27 234.93 244.38 251.50rhm1 6.43 6.33 6.21 6.06 5.91 5.76 5.63 5.52 5.42 5.35 5.31 5.38 5.46 5.55 5.67 5.77dE1 0.004 0.006 0.008 0.011 0.013 0.016 0.019 0.021 0.024 0.025 0.026 0.037 0.057 0.106 0.095 0.088A1 305.51 296.85 286.44 274.60 262.39 251.04 241.12 232.60 225.61 220.69 218.04 222.86 228.27 234.93 244.38 251.50v1 3.61 4.25 4.85 5.42 5.94 6.40 6.80 7.13 7.41 7.61 7.69 7.53 7.35 7.14 6.87 6.67Fr1 0.35 0.42 0.48 0.55 0.61 0.67 0.72 0.77 0.81 0.84 0.85 0.83 0.80 0.77 0.73 0.70E1 11.524 11.542 11.533 11.497 11.450 11.412 11.388 11.374 11.368 11.374 11.362 11.386 11.423 11.485 11.586 11.677E1 (U/S _ D/S) 0.211 0.228 0.228 0.211 0.180 0.142 0.103 0.067 0.037 0.016 -0.023 -0.032 -0.050 -0.091 -0.080 -0.073y2 10.561 10.237 9.885 9.527 9.197 8.925 8.713 8.550 8.425 8.339 8.390 8.566 8.784 9.105 9.341 9.522W.Elevat2 10.564 10.243 9.894 9.539 9.212 8.943 8.734 8.574 8.452 8.369 8.423 8.604 8.829 9.165 9.416 9.612q2 8.21 6.72 5.21 3.82 2.67 1.83 1.26 0.87 0.61 0.45 0.00 0.00 0.00 0.00 0.00 0.00Q2 1088.63 1243.29 1370.54 1469.51 1542.73 1595.02 1631.05 1654.53 1669.01 1678.31 1677.82 1677.82 1677.82 1677.82 1677.82 1677.82Am2 300.17 290.07 278.67 266.56 254.86 244.62 236.15 229.20 223.67 219.82 219.32 224.61 230.90 239.58 248.30 254.96rhm2 6.37 6.25 6.11 5.96 5.81 5.68 5.56 5.47 5.39 5.34 5.33 5.40 5.49 5.61 5.73 5.81dE2 0.005 0.007 0.009 0.011 0.014 0.017 0.020 0.022 0.024 0.026 0.026 0.036 0.056 0.100 0.091 0.085A2 294.86 283.35 270.98 258.60 247.39 238.24 231.21 225.82 221.73 218.94 220.60 226.36 233.54 244.27 252.24 258.43v2 3.69 4.39 5.06 5.68 6.24 6.69 7.05 7.33 7.53 7.67 7.61 7.41 7.18 6.87 6.65 6.49Fr2 0.36 0.44 0.51 0.59 0.66 0.72 0.76 0.80 0.83 0.85 0.84 0.81 0.77 0.73 0.69 0.67E2 11.258 11.225 11.198 11.185 11.194 11.228 11.271 11.310 11.340 11.364 11.372 11.404 11.459 11.569 11.671 11.760E2 (U/S _ D/S) -0.054 -0.090 -0.108 -0.102 -0.077 -0.044 -0.015 0.002 0.008 0.006 -0.014 -0.013 -0.012 -0.001 0.009 0.014y3 10.639 10.395 10.107 9.767 9.398 9.050 8.761 8.544 8.400 8.319 8.436 8.609 8.820 9.108 9.315 9.485W.Elevat3 10.642 10.401 10.116 9.779 9.413 9.068 8.782 8.568 8.427 8.349 8.469 8.647 8.865 9.168 9.390 9.575q3 8.59 7.44 6.16 4.75 3.36 2.21 1.38 0.86 0.56 0.41 0.00 0.00 0.00 0.00 0.00 0.00Q3 1092.44 1250.50 1379.96 1478.79 1549.64 1598.78 1632.29 1654.40 1668.51 1677.96 1677.82 1677.82 1677.82 1677.82 1677.82 1677.82Am3 301.59 292.89 282.58 270.73 258.29 246.72 236.94 229.11 223.26 219.50 220.06 225.32 231.49 239.64 247.88 254.34rhm3 6.39 6.28 6.16 6.01 5.86 5.71 5.57 5.47 5.39 5.33 5.34 5.41 5.50 5.61 5.72 5.81dE3 0.005 0.006 0.009 0.011 0.014 0.017 0.020 0.022 0.024 0.026 0.025 0.036 0.055 0.100 0.091 0.085A3 297.69 288.94 278.75 266.89 254.22 242.42 232.78 225.63 220.92 218.30 222.09 227.78 234.73 244.38 251.39 257.19v3 3.67 4.33 4.95 5.54 6.10 6.60 7.01 7.33 7.55 7.69 7.55 7.37 7.15 6.87 6.67 6.52Fr3 0.36 0.43 0.50 0.57 0.63 0.70 0.76 0.80 0.83 0.85 0.83 0.80 0.77 0.73 0.70 0.68E3 11.329 11.356 11.365 11.344 11.307 11.285 11.288 11.308 11.334 11.361 11.378 11.412 11.469 11.571 11.661 11.745E3 (U/S _ D/S) 0.016 0.041 0.059 0.057 0.037 0.014 0.002 0.000 0.002 0.002 -0.007 -0.005 -0.002 0.000 -0.001 -0.003y fin 10.856 10.616 10.325 9.989 9.637 9.305 9.011 8.755 8.544 8.393 8.312 8.459 8.624 8.825 9.108 9.319 9.492W.Elevat3 10.856 10.619 10.331 9.998 9.649 9.320 9.029 8.776 8.568 8.420 8.342 8.492 8.662 8.870 9.168 9.394 9.582q fin 9.65 8.48 7.12 5.65 4.23 3.03 2.09 1.37 0.86 0.54 0.40 0.00 0.00 0.00 0.00 0.00 0.00Q fin 910 1091.31 1247.25 1374.87 1473.69 1546.37 1597.59 1632.15 1654.38 1668.38 1677.82 1677.82 1677.82 1677.82 1677.82 1677.82 1677.82Am fin 301.17 291.63 280.50 268.47 256.70 246.07 236.85 229.10 223.15 219.37 220.45 225.56 231.59 239.64 247.93 254.46rhm fin 6.38 6.27 6.14 5.99 5.84 5.70 5.57 5.47 5.38 5.33 5.35 5.42 5.50 5.61 5.72 5.81dE fin 0.005 0.006 0.009 0.011 0.014 0.017 0.020 0.022 0.024 0.026 0.025 0.036 0.055 0.100 0.091 0.085

305.51 296.85 286.44 274.60 262.39 251.04 241.12 232.60 225.61 220.69 218.04 222.86 228.27 234.93 244.38 251.50 257.42v fin 2.98 3.68 4.35 5.01 5.62 6.16 6.63 7.02 7.33 7.56 7.69 7.53 7.35 7.14 6.87 6.67 6.52Fr fin 0.29 0.36 0.43 0.51 0.58 0.64 0.70 0.76 0.80 0.83 0.85 0.83 0.80 0.77 0.73 0.70 0.68E fin 11.31 11.31 11.30 11.28 11.26 11.25 11.27 11.29 11.31 11.33 11.36 11.38 11.42 11.47 11.57 11.66 11.75E fin (U/S _ D/S) -0.005 -0.018 -0.030 -0.030 -0.017 -0.004 0.000 0.000 0.001 0.001 -0.003 -0.002 0.000 0.000 0.000 0.000

A fin

26.13 32.82 0.80 335.16 5.59 390.06 35.18 35.16 1.00 335.20 4.73 398.22 45.21 36.84 1.23 335.25 3.96 404.44 56.37 38.11 1.48 335.30 3.30 409.32

31.36 0.83 335.17 5.18 385.28 33.87 1.04 335.21 4.44 393.68 35.70 1.27 335.25 3.75 400.20 37.08 1.52 335.30 3.15 405.38

31.48 0.83 335.17 5.21 385.69 33.95 1.04 335.21 4.46 393.96 35.75 1.26 335.25 3.76 400.40 37.12 1.52 335.30 3.16 405.52

31.47 0.83 335.17 5.21 385.65 33.95 1.04 335.21 4.46 393.95 35.75 1.26 335.25 3.76 400.39 37.11 1.52 335.30 3.16 405.51

31.47 0.83 335.17 5.21 385.66 33.95 1.04 335.21 4.46 393.95 35.75 1.26 335.25 3.76 400.39 37.11 1.52 335.30 3.16 405.51

31.47 0.83 335.17 5.21 385.66 11.03 33.95 1.04 335.21 4.46 393.95 10.65 35.75 1.26 335.25 3.76 400.39 10.15 37.11 1.52 335.30 3.16 405.51 9.62

28.44 34.25 0.83 325.17 11.02 384.96 38.28 36.94 1.04 325.21 9.55 394.77 49.20 38.90 1.26 325.25 8.12 402.39 61.34 40.39 1.52 325.30 6.85 408.45

31.15 0.91 325.18 9.38 374.65 34.08 1.12 325.22 8.32 384.42 36.26 1.36 325.27 7.20 392.29 37.94 1.62 325.32 6.16 398.68

31.66 0.90 325.18 9.64 376.27 34.42 1.11 325.22 8.46 385.62 36.50 1.35 325.27 7.28 393.19 38.11 1.61 325.32 6.21 399.35

31.58 0.90 325.18 9.60 376.01 34.38 1.11 325.22 8.45 385.48 36.48 1.35 325.27 7.27 393.11 38.10 1.61 325.32 6.20 399.30

31.59 0.90 325.18 9.61 376.05 34.39 1.11 325.22 8.45 385.50 36.48 1.35 325.27 7.27 393.11 38.10 1.61 325.32 6.20 399.3131.59 0.90 325.18 9.61 376.05 10.63 34.39 1.11 325.22 8.45 385.50 10.41 36.48 1.35 325.27 7.27 393.11 10.03 38.10 1.61 325.32 6.20 399.31 9.59

31.19 34.65 0.90 305.36 10.62 366.55 41.99 37.72 1.11 305.45 9.48 377.95 53.96 40.01 1.35 305.54 8.26 387.15 67.28 41.79 1.61 305.64 7.11 394.6434.33 0.91 305.36 10.45 365.43 37.21 1.13 305.45 9.26 376.02 39.45 1.37 305.55 8.06 384.86 41.21 1.63 305.65 6.95 392.2034.38 0.91 305.36 10.48 365.59 37.27 1.13 305.45 9.29 376.23 39.49 1.37 305.55 8.08 385.05 41.25 1.63 305.65 6.96 392.3634.37 0.91 305.36 10.47 365.57 37.26 1.13 305.45 9.28 376.21 39.49 1.37 305.55 8.08 385.03 41.24 1.63 305.65 6.96 392.3534.37 0.91 305.36 10.47 365.57 37.26 1.13 305.45 9.28 376.21 39.49 1.37 305.55 8.08 385.03 41.24 1.63 305.65 6.96 392.3534.37 0.91 305.36 10.47 365.57 11.52 37.26 1.13 305.45 9.28 376.21 11.21 39.49 1.37 305.55 8.08 385.03 10.79 41.24 1.63 305.65 6.96 392.35 10.31

34.53 38.05 0.91 285.36 12.56 359.17 46.48 41.25 1.13 285.45 11.06 372.19 59.74 43.72 1.37 285.55 9.61 382.98 74.49 45.66 1.63 285.65 8.27 391.9236.43 0.95 285.38 11.66 353.03 39.54 1.18 285.47 10.29 365.17 41.99 1.42 285.57 8.96 375.45 43.94 1.70 285.68 7.75 384.1036.67 0.94 285.38 11.79 353.92 39.73 1.17 285.47 10.37 365.92 42.14 1.42 285.57 9.02 376.07 44.06 1.69 285.68 7.78 384.6036.64 0.94 285.38 11.77 353.79 39.71 1.17 285.47 10.36 365.84 42.13 1.42 285.57 9.01 376.02 44.05 1.69 285.68 7.78 384.5736.64 0.94 285.38 11.77 353.81 39.71 1.17 285.47 10.36 365.85 42.13 1.42 285.57 9.01 376.02 44.05 1.69 285.68 7.78 384.5736.64 0.94 285.38 11.77 353.80 12.05 39.71 1.17 285.47 10.36 365.85 11.72 42.13 1.42 285.57 9.01 376.02 11.29 44.05 1.69 285.68 7.78 384.57 10.82

38.68 41.04 0.94 265.38 13.74 351.21 52.06 44.48 1.17 265.47 12.09 366.30 66.91 47.18 1.42 265.57 10.53 379.03 83.43 49.34 1.69 265.68 9.11 389.7338.28 1.01 265.40 12.19 340.10 41.62 1.25 265.50 10.78 353.80 44.28 1.51 265.60 9.44 365.53 46.41 1.80 265.72 8.20 375.5138.67 1.00 265.40 12.40 341.61 41.92 1.24 265.50 10.92 355.06 44.51 1.50 265.60 9.53 366.58 46.59 1.79 265.72 8.25 376.3738.62 1.00 265.40 12.37 341.40 41.89 1.24 265.50 10.90 354.93 44.49 1.50 265.60 9.52 366.49 46.58 1.79 265.72 8.25 376.3238.62 1.00 265.40 12.38 341.43 41.89 1.24 265.50 10.91 354.95 44.49 1.50 265.60 9.52 366.50 46.58 1.79 265.72 8.25 376.3238.62 1.00 265.40 12.38 341.43 12.32 41.89 1.24 265.50 10.91 354.95 12.00 44.49 1.50 265.60 9.52 366.50 11.58 46.58 1.79 265.72 8.25 376.32 11.11

43.95 43.89 1.00 245.40 14.29 343.58 59.16 47.61 1.24 245.50 12.61 361.00 76.04 50.56 1.50 245.60 11.03 375.90 94.80 52.94 1.79 245.72 9.58 388.5440.05 1.10 245.44 12.21 327.17 43.59 1.36 245.54 10.83 342.38 46.43 1.64 245.66 9.52 355.52 48.73 1.95 245.78 8.31 366.8040.54 1.08 245.43 12.47 329.22 43.98 1.35 245.54 11.00 344.11 46.73 1.63 245.65 9.63 356.97 48.97 1.94 245.77 8.38 368.0140.48 1.09 245.43 12.44 328.96 43.94 1.35 245.54 10.98 343.95 46.71 1.63 245.65 9.62 356.87 48.96 1.94 245.77 8.37 367.9440.49 1.09 245.43 12.44 328.99 43.94 1.35 245.54 10.99 343.96 46.71 1.63 245.65 9.62 356.88 48.96 1.94 245.77 8.37 367.9540.49 1.09 245.43 12.44 328.99 12.41 43.94 1.35 245.54 10.99 343.96 12.09 46.71 1.63 245.65 9.62 356.88 11.69 48.96 1.94 245.77 8.37 367.95 11.23

50.89 46.88 1.09 235.22 13.63 347.24 68.50 50.88 1.35 235.27 12.05 367.23 88.04 54.09 1.63 235.33 10.57 384.45 109.77 56.69 1.94 235.39 9.21 399.1939.65 1.28 235.26 10.21 315.40 43.54 1.57 235.31 9.21 331.96 46.66 1.89 235.38 8.19 346.36 49.19 2.23 235.45 7.21 358.8040.48 1.26 235.25 10.58 318.77 44.17 1.55 235.31 9.43 334.75 47.15 1.87 235.37 8.34 348.68 49.58 2.21 235.44 7.31 360.7440.39 1.26 235.25 10.54 318.41 44.12 1.55 235.31 9.42 334.53 47.12 1.87 235.37 8.33 348.54 49.56 2.21 235.44 7.30 360.6440.40 1.26 235.25 10.54 318.45 44.12 1.55 235.31 9.42 334.54 47.12 1.87 235.37 8.33 348.55 49.56 2.21 235.44 7.30 360.6540.40 1.26 235.25 10.54 318.45 11.49 44.12 1.55 235.31 9.42 334.54 11.31 47.12 1.87 235.37 8.33 348.55 11.01 49.56 2.21 235.44 7.30 360.65 10.63

60.43 47.98 1.26 225.25 11.44 342.57 81.35 52.40 1.55 225.31 10.32 365.24 104.55 55.96 1.87 225.37 9.20 384.97 130.35 58.86 2.21 225.44 8.11 402.0040.05 1.51 225.30 8.36 307.06 44.05 1.85 225.37 7.64 324.28 47.29 2.21 225.44 6.86 339.42 49.94 2.61 225.52 6.09 352.6240.79 1.48 225.30 8.62 310.09 44.63 1.82 225.36 7.81 326.90 47.76 2.19 225.44 6.98 341.68 50.31 2.59 225.52 6.17 354.5540.72 1.48 225.30 8.60 309.82 44.60 1.82 225.36 7.80 326.73 47.73 2.19 225.44 6.98 341.57 50.30 2.59 225.52 6.17 354.4740.73 1.48 225.30 8.60 309.85 44.60 1.82 225.36 7.80 326.74 47.73 2.19 225.44 6.98 341.57 50.30 2.59 225.52 6.17 354.4740.73 1.48 225.30 8.60 309.85 10.68 44.60 1.82 225.36 7.80 326.74 10.54 47.73 2.19 225.44 6.98 341.57 10.30 50.30 2.59 225.52 6.17 354.47 9.98

74.38 50.13 1.48 215.30 9.72 343.37 100.12 54.89 1.82 215.36 8.85 368.93 128.68 58.75 2.19 215.44 7.94 391.36 160.44 61.91 2.59 215.52 7.05 410.8640.80 1.82 215.36 6.77 300.20 44.85 2.23 215.45 6.21 317.98 48.16 2.67 215.53 5.60 333.73 50.87 3.15 215.63 4.99 347.5441.48 1.79 215.36 6.97 303.07 45.41 2.20 215.44 6.34 320.53 48.61 2.65 215.53 5.69 335.97 51.25 3.13 215.63 5.06 349.4841.44 1.79 215.36 6.96 302.88 45.38 2.21 215.44 6.34 320.40 48.59 2.65 215.53 5.69 335.88 51.23 3.13 215.63 5.05 349.4241.44 1.79 215.36 6.96 302.89 45.38 2.21 215.44 6.34 320.41 48.59 2.65 215.53 5.69 335.88 51.24 3.13 215.63 5.05 349.4241.44 1.79 215.36 6.96 302.89 9.88 45.38 2.21 215.44 6.34 320.41 9.75 48.59 2.65 215.53 5.69 335.88 9.53 51.24 3.13 215.63 5.05 349.42 9.24

96.69 53.87 1.79 186.08 9.49 334.00 130.15 59.00 2.21 186.32 8.64 363.71 167.28 63.17 2.65 186.59 7.77 389.98 208.57 66.61 3.13 186.88 6.90 412.9945.89 2.11 186.26 7.13 293.59 49.61 2.62 186.57 6.34 312.02 52.69 3.17 186.90 5.62 328.43 55.26 3.77 187.26 4.95 342.9046.35 2.09 186.25 7.25 295.75 50.01 2.60 186.56 6.44 314.05 53.03 3.15 186.89 5.69 330.25 55.54 3.76 187.25 4.99 344.4646.33 2.09 186.25 7.25 295.64 50.00 2.60 186.56 6.43 313.97 53.02 3.15 186.89 5.68 330.20 55.53 3.76 187.25 4.99 344.4346.33 2.09 186.25 7.25 295.64 50.00 2.60 186.56 6.43 313.97 53.02 3.15 186.89 5.68 330.20 55.53 3.76 187.25 4.99 344.4346.33 2.09 186.25 7.25 295.64 10.24 50.00 2.60 186.56 6.43 313.97 9.89 53.02 3.15 186.89 5.68 330.20 9.53 55.53 3.76 187.25 4.99 344.43 9.15

Ski Jump 1 Input Celles

Structural Input Data Recomm. SelectedThis Sheet Suggest the Minimum Radius to be used for a Terminal Ski Jump Max. Allowed Dynamic Pressure (t/m2) 35 35and Determines the Path of the Jet for a Given Geometry.

Recommended Minimum Radius of the Curve (m)Hydraulic Input Data Based on Design Flow 27.7

No. q v Based on Maximum Flow 45.5(m3/s/m) (m/s)

1 30 35 Minimum Geometrical Input Data2 50 38 Selected Radius of the Curve (m) 453 70 41 Angle with the Horizontal (Sex. °) 204 100 445 130 47 Design Trajectories6 160 50 z (m)7 200 53 x (m) Q = 30 Q = 50 Q = 70 Q = 100 Q = 130 Q = 160 Q = 200 Q = 2508 250 55 Maximum 0 0 0 0 0 0 0 0 0

15 4.3 4.5 4.6 4.8 4.8 4.9 5.0 5.0If desired, the Sheet "Chute" may be used to 30 6.4 7.1 7.7 8.1 8.5 8.8 9.0 9.1Compute q and v for a Given Discharge Range 45 6.3 7.9 9.1 10.1 10.9 11.5 12.0 12.4and Chute Channel Geometry 60 3.9 6.7 8.9 10.6 12.0 13.2 14.1 14.7

75 -0.7 3.7 7.0 9.8 12.0 13.8 15.3 16.190 -7.5 -1.3 3.6 7.5 10.7 13.2 15.4 16.7

z 105 -16.6 -8.1 -1.5 3.9 8.2 11.7 14.6 16.4120 -27.9 -16.8 -8.2 -1.2 4.4 9.0 12.8 15.1135 -41.4 -27.4 -16.5 -7.7 -0.6 5.2 10.1 13.0

x 150 -57.2 -39.9 -26.4 -15.5 -6.8 0.4 6.4 10.0165 -75.3 -54.3 -38.0 -24.8 -14.2 -5.5 1.8 6.1180 -95.5 -70.5 -51.1 -35.5 -22.8 -12.5 -3.8 1.3195 -118.0 -88.7 -65.9 -47.5 -32.7 -20.6 -10.4 -4.4210 -142.7 -108.7 -82.3 -61.0 -43.8 -29.8 -18.0 -11.0225 -169.7 -130.7 -100.4 -75.9 -56.2 -40.0 -26.5 -18.4240 -198.9 -154.5 -120.0 -92.1 -69.7 -51.4 -36.0 -26.8

See Graph below

0 50 100 150 200 250 300

-100

-75

-50

-25

0

25Jet Trajectories

Q = 30 Q = 50 Q = 70

Q = 100 Q = 130 Q = 160

Q = 200 Q = 250

x (m)

z (m

)

Data for Computation

Natural Jump LengthFr1 L/y2

1.70 4.002.50 4.883.50 5.584.00 5.804.50 5.925.00 6.016.00 6.10

7.00 6.148.00 6.159.00 6.14

10.00 6.1212.00 6.0513.50 5.9915.00 5.9117.00 5.7819.00 5.5920.00 5.45

Charact. of the Natural Hydraulic Jump - Recomm. BasinQ y1 Fr1 y2 L L (Aux.) L (Aux.) Jump Type TWL TWL yt/y2 Suitability Bottom

(m3/s) (m) (m) (m) (Aux) Elevation200 0.25 6.35 2.15 13.14 6.11 6.37 Steady 372.88 378.11 0.41 1 370.73500 0.25 15.72 5.54 32.47 5.86 5.86 Strong 374.09 378.32 0.38 1 368.55

1,000 0.42 14.82 8.61 50.95 5.92 5.92 Strong 375.10 378.66 0.36 1 366.493,000 1.09 10.60 15.86 96.67 6.10 6.14 Strong 378.18 380.04 0.39 1 362.325,000 1.78 8.49 20.53 126.14 6.15 6.25 Steady 380.39 381.41 0.41 1 359.877,000 2.48 7.24 24.19 148.56 6.14 6.32 Steady 382.29 382.79 0.43 1 358.109,000 3.19 6.39 27.26 166.73 6.12 6.36 Steady 383.98 384.16 0.44 1 356.71

10,000 3.55 6.05 28.63 174.72 6.10 6.38 Steady 384.74 384.85 0.44 1 356.1012,000 4.14 5.76 31.71 192.72 6.09 6.40 Steady 386.22 386.22 0.45 1 354.52

15,000 4.93 5.54 36.22 219.41 6.08 6.41 Steady 388.26 388.26 0.45 1 352.05

Stilling Basin Type IQ y1 Fr1 y2 L TWL Bottom Length of Basin Type I

(m3/s) (m) (m) (m) Elevation Fr1 L/y2200 0.25 6.35 2.36 13.33 372.88 370.51 1.70 4.00500 0.25 15.72 6.09 42.12 374.09 368.00 2.50 4.82

1,000 0.42 14.82 9.47 64.33 375.10 365.63 3.00 5.263,000 1.09 10.60 17.44 108.44 378.18 360.74 3.50 5.585,000 1.78 8.49 22.58 133.89 380.39 357.81 4.00 5.797,000 2.48 7.24 26.61 153.24 382.29 355.68 4.50 5.939,000 3.19 6.39 29.99 169.27 383.98 353.99 5.00 6.00

10,000 3.55 6.05 31.50 176.31 384.74 353.2412,000 4.14 5.76 34.88 193.85 386.22 351.3515,000 4.93 5.54 39.84 220.21 388.26 348.42

Stilling Basin Type IIQ y1 Fr1 y2 L TWL Bottom Height of Height of Length of Basin Type II

(m3/s) (m) (m) (m) Elevation Baffle Block End Sill Fr1 L/y2200 0.25 6.35 2.15 5.36 372.88 370.73 0.43 0.35 4.50 2.22500 0.25 15.72 5.54 15.17 374.09 368.55 0.82 0.49 5.50 2.40

1,000 0.42 14.82 8.61 23.76 375.10 366.49 1.29 0.79 6.00 2.463,000 1.09 10.60 15.86 43.76 378.18 362.32 2.61 1.78 7.50 2.605,000 1.78 8.49 20.53 54.72 380.39 359.87 3.63 2.69 9.00 2.707,000 2.48 7.24 24.19 62.29 382.29 358.10 4.55 3.56 10.50 2.769,000 3.19 6.39 27.26 68.06 383.98 356.71 5.40 4.42 15.00 2.76

10,000 3.55 6.05 28.63 70.58 384.74 356.10 5.81 4.85 16.50 2.7212,000 4.14 5.76 31.71 77.08 386.22 354.52 6.58 5.5915,000 4.93 5.54 36.22 87.08 388.26 352.05 7.66 6.60

Stilling Basin Type IIIQ y1 Fr1 y2 L TWL Bottom Length of Basin Type III

(m3/s) (m) (m) (m) Elevation Fr1 L/y2200 0.25 6.35 2.26 8.74 372.88 370.62 4.00 3.60500 0.25 15.72 5.81 23.49 374.09 368.28 5.00 3.86

1,000 0.42 14.82 9.04 36.75 375.10 366.06 6.00 4.033,000 1.09 10.60 16.65 68.49 378.18 361.53 7.60 4.205,000 1.78 8.49 21.55 87.25 380.39 358.84 9.00 4.287,000 2.48 7.24 25.40 100.65 382.29 356.89 11.00 4.339,000 3.19 6.39 28.63 111.00 383.98 355.35 12.50 4.33

10,000 3.55 6.05 30.06 115.55 384.74 354.67 13.50 4.3112,000 4.14 5.76 33.29 126.48 386.22 352.93 14.50 4.2815,000 4.93 5.54 38.03 143.09 388.26 350.24