Bab IV 01 MUFTI

BAB IV

ANALISA PERHITUNGAN

4.1. Data HSS Nakayashu

Tabel 4.1. Hitungan HSS Nakayasu Untuk Q25 Tahun

Jam Ut Qbaseflow Qbanjir

ke (m3/dt/mm) 47.332 12.303 8.630 6.870 5.802 5.071 (m3/dt) (m3/dt)

0 0.000 0.000 0.000 0.000 0.000 0.000 0.000 2.000 2.000

1 0.918 43.452 0.000 0.000 0.000 0.000 0.000 2.000 45.452

2 3.816 180.618 46.946 0.000 0.000 0.000 0.000 2.000 229.565

3 2.651 125.497 32.619 22.882 0.000 0.000 0.000 2.000 182.998

4 1.842 87.198 22.665 15.899 12.657 0.000 0.000 2.000 140.418

5 1.256 59.433 15.448 10.836 8.627 7.285 0.000 2.000 103.629

6 0.985 46.624 12.119 8.501 6.768 5.715 4.996 2.000 86.721

7 0.773 36.576 9.507 6.669 5.309 4.483 3.919 2.000 68.462

8 0.606 28.693 7.458 5.232 4.165 3.517 3.074 2.000 54.138

9 0.476 22.509 5.851 4.104 3.267 2.759 2.412 2.000 42.901

10 0.370 17.531 4.557 3.196 2.545 2.149 1.878 2.000 33.856

11 0.309 14.613 3.798 2.664 2.121 1.791 1.566 2.000 28.554

12 0.257 12.181 3.166 2.221 1.768 1.493 1.305 2.000 24.135

13 0.215 10.154 2.639 1.851 1.474 1.245 1.088 2.000 20.450

14 0.179 8.464 2.200 1.543 1.229 1.037 0.907 2.000 17.380

15 0.149 7.055 1.834 1.286 1.024 0.865 0.756 2.000 14.820

16 0.124 5.881 1.529 1.072 0.854 0.721 0.630 2.000 12.686

17 0.104 4.902 1.274 0.894 0.712 0.601 0.525 2.000 10.907

18 0.086 4.086 1.062 0.745 0.593 0.501 0.438 2.000 9.425

19 0.072 3.406 0.885 0.621 0.494 0.417 0.365 2.000 8.189

20 0.060 2.839 0.738 0.518 0.412 0.348 0.304 2.000 7.159

21 0.050 2.367 0.615 0.431 0.344 0.290 0.254 2.000 6.300

22 0.042 1.973 0.513 0.360 0.286 0.242 0.211 2.000 5.585

23 0.035 1.644 0.427 0.300 0.239 0.202 0.176 2.000 4.988

24 0.029 1.371 0.356 0.250 0.199 0.168 0.147 2.000 4.491

25 0.024 1.143 0.297 0.208 0.166 0.140 0.122 2.000 4.076

26 0.020 0.952 0.248 0.174 0.138 0.117 0.102 2.000 3.731

27 0.017 0.794 0.206 0.145 0.115 0.097 0.085 2.000 3.442

28 0.014 0.662 0.172 0.121 0.096 0.081 0.071 2.000 3.202

29 0.012 0.552 0.143 0.101 0.080 0.068 0.059 2.000 3.002

30 0.010 0.460 0.120 0.084 0.067 0.056 0.049 2.000 2.835

31 0.008 0.383 0.100 0.070 0.056 0.047 0.041 2.000 2.696

32 0.007 0.319 0.083 0.058 0.046 0.039 0.034 2.000 2.580

33 0.006 0.266 0.069 0.049 0.039 0.033 0.029 2.000 2.484

34 0.000 0.000 0.000 0.000 0.000 0.000 0.000 2.000 2.000

35 0.000 0.000 0.000 0.000 0.000 0.000 0.000 2.000 2.000

36 0.000 0.000 0.000 0.000 0.000 0.000 0.000 2.000 2.000

37 0.073 3.458 0.899 0.630 0.502 0.424 0.371 2.000 8.284

38 0.065 3.082 0.801 0.562 0.447 0.378 0.330 2.000 7.600

39 0.058 2.747 0.714 0.501 0.399 0.337 0.294 2.000 6.991

40 0.052 2.448 0.636 0.446 0.355 0.300 0.262 2.000 6.448

41 0.046 2.181 0.567 0.398 0.317 0.267 0.234 2.000 5.964

42 0.041 1.944 0.505 0.354 0.282 0.238 0.208 2.000 5.533

43 0.037 1.733 0.450 0.316 0.251 0.212 0.186 2.000 5.148

44 0.033 1.544 0.401 0.282 0.224 0.189 0.165 2.000 4.806

45 0.029 1.376 0.358 0.251 0.200 0.169 0.147 2.000 4.501

46 0.026 1.226 0.319 0.224 0.178 0.150 0.131 2.000 4.229

47 0.023 1.093 0.284 0.199 0.159 0.134 0.117 2.000 3.986

48 0.021 0.974 0.253 0.178 0.141 0.119 0.104 2.000 3.770

Akibat Hujan jam-jaman



ke (m3/dt/mm) 64.885 16.865 11.830 9.418 7.953 6.952 (m3/dt) (m3/dt)

0 0.000 0.000 0.000 0.000 0.000 0.000 0.000 2.000 2.000

1 0.918 59.566 0.000 0.000 0.000 0.000 0.000 2.000 61.566

2 3.816 247.600 64.357 0.000 0.000 0.000 0.000 2.000 313.957

3 2.651 172.038 44.716 31.367 0.000 0.000 0.000 2.000 250.121

4 1.842 119.535 31.070 21.795 17.351 0.000 0.000 2.000 191.750

5 1.256 81.474 21.177 14.855 11.826 9.987 0.000 2.000 141.318

6 0.985 63.914 16.613 11.653 9.277 7.834 6.848 2.000 118.140

7 0.773 50.140 13.032 9.142 7.278 6.146 5.372 2.000 93.110

8 0.606 39.333 10.224 7.172 5.709 4.821 4.214 2.000 73.474

9 0.476 30.856 8.020 5.626 4.479 3.782 3.306 2.000 58.070

10 0.370 24.033 6.247 4.382 3.488 2.946 2.575 2.000 45.670

11 0.309 20.033 5.207 3.653 2.908 2.456 2.146 2.000 38.402

12 0.257 16.698 4.340 3.045 2.424 2.047 1.789 2.000 32.343

13 0.215 13.919 3.618 2.538 2.020 1.706 1.491 2.000 27.293

14 0.179 11.602 3.016 2.115 1.684 1.422 1.243 2.000 23.083

15 0.149 9.671 2.514 1.763 1.404 1.185 1.036 2.000 19.574

16 0.124 8.062 2.095 1.470 1.170 0.988 0.864 2.000 16.649

17 0.104 6.720 1.747 1.225 0.975 0.824 0.720 2.000 14.211

18 0.086 5.601 1.456 1.021 0.813 0.687 0.600 2.000 12.178

19 0.072 4.669 1.214 0.851 0.678 0.572 0.500 2.000 10.484

20 0.060 3.892 1.012 0.710 0.565 0.477 0.417 2.000 9.072

21 0.050 3.244 0.843 0.592 0.471 0.398 0.348 2.000 7.895

22 0.042 2.704 0.703 0.493 0.393 0.331 0.290 2.000 6.914

23 0.035 2.254 0.586 0.411 0.327 0.276 0.242 2.000 6.096

24 0.029 1.879 0.488 0.343 0.273 0.230 0.201 2.000 5.414

25 0.024 1.566 0.407 0.286 0.227 0.192 0.168 2.000 4.846

26 0.020 1.306 0.339 0.238 0.189 0.160 0.140 2.000 4.372

27 0.017 1.088 0.283 0.198 0.158 0.133 0.117 2.000 3.977

28 0.014 0.907 0.236 0.165 0.132 0.111 0.097 2.000 3.648

29 0.012 0.756 0.197 0.138 0.110 0.093 0.081 2.000 3.374

30 0.010 0.630 0.164 0.115 0.091 0.077 0.068 2.000 3.145

31 0.008 0.525 0.137 0.096 0.076 0.064 0.056 2.000 2.955

32 0.007 0.438 0.114 0.080 0.064 0.054 0.047 2.000 2.796

33 0.006 0.365 0.095 0.067 0.053 0.045 0.039 2.000 2.663

34 0.000 0.000 0.000 0.000 0.000 0.000 0.000 2.000 2.000

35 0.000 0.000 0.000 0.000 0.000 0.000 0.000 2.000 2.000

36 0.000 0.000 0.000 0.000 0.000 0.000 0.000 2.000 2.000

37 0.073 4.740 1.232 0.864 0.688 0.581 0.508 2.000 10.614

38 0.065 4.225 1.098 0.770 0.613 0.518 0.453 2.000 9.677

39 0.058 3.765 0.979 0.686 0.547 0.462 0.403 2.000 8.842

40 0.052 3.355 0.872 0.612 0.487 0.411 0.360 2.000 8.097

41 0.046 2.990 0.777 0.545 0.434 0.367 0.320 2.000 7.434

42 0.041 2.665 0.693 0.486 0.387 0.327 0.286 2.000 6.843

43 0.037 2.375 0.617 0.433 0.345 0.291 0.254 2.000 6.316

44 0.033 2.117 0.550 0.386 0.307 0.259 0.227 2.000 5.846

45 0.029 1.886 0.490 0.344 0.274 0.231 0.202 2.000 5.428

46 0.026 1.681 0.437 0.307 0.244 0.206 0.180 2.000 5.055

47 0.023 1.498 0.389 0.273 0.217 0.184 0.161 2.000 4.723

48 0.021 1.335 0.347 0.243 0.194 0.164 0.143 2.000 4.426




ke (m3/dt/mm) 84.565 21.980 15.419 12.275 10.365 9.061 (m3/dt) (m3/dt)

0 0.000 0.000 0.000 0.000 0.000 0.000 0.000 2.000 2.000

1 0.918 77.632 0.000 0.000 0.000 0.000 0.000 2.000 79.632

2 3.816 322.697 83.876 0.000 0.000 0.000 0.000 2.000 408.572

3 2.651 224.216 58.279 40.881 0.000 0.000 0.000 2.000 325.376

4 1.842 155.790 40.493 28.405 22.613 0.000 0.000 2.000 249.301

5 1.256 106.184 27.600 19.360 15.413 13.016 0.000 2.000 183.573

6 0.985 83.300 21.651 15.188 12.091 10.210 8.925 2.000 153.365

7 0.773 65.347 16.985 11.915 9.485 8.010 7.002 2.000 120.743

8 0.606 51.263 13.324 9.347 7.441 6.284 5.493 2.000 95.151

9 0.476 40.215 10.453 7.332 5.837 4.929 4.309 2.000 75.075

10 0.370 31.322 8.141 5.711 4.546 3.839 3.356 2.000 58.916

11 0.309 26.109 6.786 4.760 3.790 3.200 2.797 2.000 49.442

12 0.257 21.763 5.657 3.968 3.159 2.668 2.332 2.000 41.546

13 0.215 18.141 4.715 3.308 2.633 2.224 1.944 2.000 34.964

14 0.179 15.121 3.930 2.757 2.195 1.854 1.620 2.000 29.477

15 0.149 12.605 3.276 2.298 1.830 1.545 1.351 2.000 24.904

16 0.124 10.507 2.731 1.916 1.525 1.288 1.126 2.000 21.092

17 0.104 8.758 2.276 1.597 1.271 1.074 0.938 2.000 17.914

18 0.086 7.300 1.897 1.331 1.060 0.895 0.782 2.000 15.265

19 0.072 6.085 1.582 1.110 0.883 0.746 0.652 2.000 13.057

20 0.060 5.072 1.318 0.925 0.736 0.622 0.543 2.000 11.217

21 0.050 4.228 1.099 0.771 0.614 0.518 0.453 2.000 9.683

22 0.042 3.524 0.916 0.643 0.512 0.432 0.378 2.000 8.404

23 0.035 2.938 0.764 0.536 0.426 0.360 0.315 2.000 7.338

24 0.029 2.449 0.636 0.446 0.355 0.300 0.262 2.000 6.450

25 0.024 2.041 0.531 0.372 0.296 0.250 0.219 2.000 5.709

26 0.020 1.701 0.442 0.310 0.247 0.209 0.182 2.000 5.092

27 0.017 1.418 0.369 0.259 0.206 0.174 0.152 2.000 4.577

28 0.014 1.182 0.307 0.216 0.172 0.145 0.127 2.000 4.148

29 0.012 0.985 0.256 0.180 0.143 0.121 0.106 2.000 3.791

30 0.010 0.821 0.214 0.150 0.119 0.101 0.088 2.000 3.493

31 0.008 0.685 0.178 0.125 0.099 0.084 0.073 2.000 3.244

32 0.007 0.571 0.148 0.104 0.083 0.070 0.061 2.000 3.037

33 0.006 0.476 0.124 0.087 0.069 0.058 0.051 2.000 2.864

34 0.000 0.000 0.000 0.000 0.000 0.000 0.000 2.000 2.000

35 0.000 0.000 0.000 0.000 0.000 0.000 0.000 2.000 2.000

36 0.000 0.000 0.000 0.000 0.000 0.000 0.000 2.000 2.000

37 0.073 6.178 1.606 1.126 0.897 0.757 0.662 2.000 13.226

38 0.065 5.506 1.431 1.004 0.799 0.675 0.590 2.000 12.005

39 0.058 4.907 1.275 0.895 0.712 0.601 0.526 2.000 10.917

40 0.052 4.373 1.137 0.797 0.635 0.536 0.469 2.000 9.947

41 0.046 3.897 1.013 0.711 0.566 0.478 0.418 2.000 9.082

42 0.041 3.473 0.903 0.633 0.504 0.426 0.372 2.000 8.312

43 0.037 3.096 0.805 0.564 0.449 0.379 0.332 2.000 7.625

44 0.033 2.759 0.717 0.503 0.400 0.338 0.296 2.000 7.013

45 0.029 2.459 0.639 0.448 0.357 0.301 0.263 2.000 6.468

46 0.026 2.191 0.570 0.400 0.318 0.269 0.235 2.000 5.982

47 0.023 1.953 0.508 0.356 0.283 0.239 0.209 2.000 5.548

48 0.021 1.740 0.452 0.317 0.253 0.213 0.186 2.000 5.162




ke (m3/dt/mm) 110.720 28.779 20.187 16.071 13.572 11.863 (m3/dt) (m3/dt)

0 0.000 0.000 0.000 0.000 0.000 0.000 0.000 2.000 2.000

1 0.918 101.644 0.000 0.000 0.000 0.000 0.000 2.000 103.644

2 3.816 422.506 109.818 0.000 0.000 0.000 0.000 2.000 534.325

3 2.651 293.566 76.304 53.525 0.000 0.000 0.000 2.000 425.395

4 1.842 203.976 53.018 37.191 29.607 0.000 0.000 2.000 325.791

5 1.256 139.027 36.136 25.349 20.180 17.041 0.000 2.000 239.733

6 0.985 109.064 28.348 19.885 15.831 13.369 11.686 2.000 200.182

7 0.773 85.558 22.238 15.600 12.419 10.487 9.167 2.000 157.470

8 0.606 67.119 17.446 12.238 9.742 8.227 7.191 2.000 123.963

9 0.476 52.653 13.686 9.600 7.643 6.454 5.642 2.000 97.678

10 0.370 41.010 10.659 7.477 5.953 5.027 4.394 2.000 76.519

11 0.309 34.184 8.885 6.233 4.962 4.190 3.663 2.000 64.116

12 0.257 28.494 7.406 5.195 4.136 3.493 3.053 2.000 53.778

13 0.215 23.752 6.174 4.331 3.448 2.911 2.545 2.000 45.160

14 0.179 19.798 5.146 3.610 2.874 2.427 2.121 2.000 37.976

15 0.149 16.503 4.290 3.009 2.395 2.023 1.768 2.000 31.988

16 0.124 13.756 3.576 2.508 1.997 1.686 1.474 2.000 26.997

17 0.104 11.467 2.980 2.091 1.664 1.406 1.229 2.000 22.836

18 0.086 9.558 2.484 1.743 1.387 1.172 1.024 2.000 19.368

19 0.072 7.967 2.071 1.453 1.156 0.977 0.854 2.000 16.478

20 0.060 6.641 1.726 1.211 0.964 0.814 0.712 2.000 14.068

21 0.050 5.536 1.439 1.009 0.804 0.679 0.593 2.000 12.059

22 0.042 4.614 1.199 0.841 0.670 0.566 0.494 2.000 10.385

23 0.035 3.846 1.000 0.701 0.558 0.471 0.412 2.000 8.989

24 0.029 3.206 0.833 0.585 0.465 0.393 0.344 2.000 7.826

25 0.024 2.673 0.695 0.487 0.388 0.328 0.286 2.000 6.856

26 0.020 2.228 0.579 0.406 0.323 0.273 0.239 2.000 6.048

27 0.017 1.857 0.483 0.339 0.270 0.228 0.199 2.000 5.374

28 0.014 1.548 0.402 0.282 0.225 0.190 0.166 2.000 4.813

29 0.012 1.290 0.335 0.235 0.187 0.158 0.138 2.000 4.345

30 0.010 1.076 0.280 0.196 0.156 0.132 0.115 2.000 3.954

31 0.008 0.896 0.233 0.163 0.130 0.110 0.096 2.000 3.629

32 0.007 0.747 0.194 0.136 0.108 0.092 0.080 2.000 3.358

33 0.006 0.623 0.162 0.114 0.090 0.076 0.067 2.000 3.132

34 0.000 0.000 0.000 0.000 0.000 0.000 0.000 2.000 2.000

35 0.000 0.000 0.000 0.000 0.000 0.000 0.000 2.000 2.000

36 0.000 0.000 0.000 0.000 0.000 0.000 0.000 2.000 2.000

37 0.073 8.089 2.102 1.475 1.174 0.992 0.867 2.000 16.699

38 0.065 7.209 1.874 1.314 1.046 0.884 0.772 2.000 15.100

39 0.058 6.425 1.670 1.171 0.933 0.788 0.688 2.000 13.674

40 0.052 5.726 1.488 1.044 0.831 0.702 0.613 2.000 12.404

41 0.046 5.103 1.326 0.930 0.741 0.625 0.547 2.000 11.273

42 0.041 4.548 1.182 0.829 0.660 0.557 0.487 2.000 10.264

43 0.037 4.053 1.053 0.739 0.588 0.497 0.434 2.000 9.365

44 0.033 3.612 0.939 0.659 0.524 0.443 0.387 2.000 8.564

45 0.029 3.219 0.837 0.587 0.467 0.395 0.345 2.000 7.850

46 0.026 2.869 0.746 0.523 0.416 0.352 0.307 2.000 7.213

47 0.023 2.557 0.665 0.466 0.371 0.313 0.274 2.000 6.646

48 0.021 2.279 0.592 0.415 0.331 0.279 0.244 2.000 6.141


Tabel 4.5. Hitungan HSS Nakayasu Untuk QPMF Tahun


ke (m3/dt/mm) 188.659 49.036 34.398 27.384 23.125 20.214 (m3/dt) (m3/dt)

0 0.000 0.000 0.000 0.000 0.000 0.000 0.000 2.000 2.000

1 0.918 173.193 0.000 0.000 0.000 0.000 0.000 2.000 175.193

2 3.816 719.919 187.122 0.000 0.000 0.000 0.000 2.000 909.041

3 2.651 500.214 130.016 91.203 0.000 0.000 0.000 2.000 723.434

4 1.842 347.559 90.338 63.370 50.449 0.000 0.000 2.000 553.716

5 1.256 236.892 61.573 43.192 34.385 29.037 0.000 2.000 407.079

6 0.985 185.837 48.303 33.883 26.974 22.779 19.911 2.000 339.688

7 0.773 145.785 37.893 26.581 21.161 17.870 15.620 2.000 266.909

8 0.606 114.365 29.726 20.852 16.600 14.018 12.254 2.000 209.816

9 0.476 89.717 23.319 16.358 13.023 10.997 9.613 2.000 165.027

10 0.370 69.877 18.163 12.741 10.143 8.565 7.487 2.000 128.975

11 0.309 58.247 15.140 10.620 8.455 7.140 6.241 2.000 107.841

12 0.257 48.552 12.620 8.852 7.047 5.951 5.202 2.000 90.225

13 0.215 40.471 10.519 7.379 5.874 4.961 4.336 2.000 75.541

14 0.179 33.735 8.768 6.151 4.897 4.135 3.615 2.000 63.301

15 0.149 28.120 7.309 5.127 4.082 3.447 3.013 2.000 53.098

16 0.124 23.440 6.092 4.274 3.402 2.873 2.511 2.000 44.593

17 0.104 19.538 5.078 3.562 2.836 2.395 2.093 2.000 37.504

18 0.086 16.286 4.233 2.969 2.364 1.996 1.745 2.000 31.594

19 0.072 13.576 3.529 2.475 1.971 1.664 1.455 2.000 26.669

20 0.060 11.316 2.941 2.063 1.643 1.387 1.212 2.000 22.563

21 0.050 9.433 2.452 1.720 1.369 1.156 1.011 2.000 19.140

22 0.042 7.863 2.044 1.434 1.141 0.964 0.842 2.000 16.287

23 0.035 6.554 1.704 1.195 0.951 0.803 0.702 2.000 13.909

24 0.029 5.463 1.420 0.996 0.793 0.670 0.585 2.000 11.927

25 0.024 4.554 1.184 0.830 0.661 0.558 0.488 2.000 10.275

26 0.020 3.796 0.987 0.692 0.551 0.465 0.407 2.000 8.898

27 0.017 3.164 0.822 0.577 0.459 0.388 0.339 2.000 7.750

28 0.014 2.637 0.686 0.481 0.383 0.323 0.283 2.000 6.793

29 0.012 2.198 0.571 0.401 0.319 0.269 0.236 2.000 5.995

30 0.010 1.833 0.476 0.334 0.266 0.225 0.196 2.000 5.330

31 0.008 1.528 0.397 0.279 0.222 0.187 0.164 2.000 4.776

32 0.007 1.273 0.331 0.232 0.185 0.156 0.136 2.000 4.314

33 0.006 1.061 0.276 0.194 0.154 0.130 0.114 2.000 3.929

34 0.000 0.000 0.000 0.000 0.000 0.000 0.000 2.000 2.000

35 0.000 0.000 0.000 0.000 0.000 0.000 0.000 2.000 2.000

36 0.000 0.000 0.000 0.000 0.000 0.000 0.000 2.000 2.000

37 0.073 13.783 3.582 2.513 2.001 1.689 1.477 3.000 28.045

38 0.065 12.284 3.193 2.240 1.783 1.506 1.316 4.000 26.321

39 0.058 10.947 2.845 1.996 1.589 1.342 1.173 5.000 24.892

40 0.052 9.756 2.536 1.779 1.416 1.196 1.045 6.000 23.728

41 0.046 8.695 2.260 1.585 1.262 1.066 0.932 7.000 22.800

42 0.041 7.749 2.014 1.413 1.125 0.950 0.830 8.000 22.081

43 0.037 6.906 1.795 1.259 1.002 0.847 0.740 9.000 21.549

44 0.033 6.155 1.600 1.122 0.893 0.754 0.659 10.000 21.184

45 0.029 5.485 1.426 1.000 0.796 0.672 0.588 11.000 20.967

46 0.026 4.888 1.271 0.891 0.710 0.599 0.524 12.000 20.883

47 0.023 4.357 1.132 0.794 0.632 0.534 0.467 13.000 20.916

48 0.021 3.883 1.009 0.708 0.564 0.476 0.416 14.000 21.055


Tabel 4.6. Rekapitulasi Hitungan HSS Nakayasu

Jam

ke 25 50 200 1000 PMF

0 2.000 2.000 2.000 2.000 2.000

1 45.452 61.566 79.632 103.644 175.193

2 229.565 313.957 408.572 534.325 909.041

3 182.998 250.121 325.376 425.395 723.434

4 140.418 191.750 249.301 325.791 553.716

5 103.629 141.318 183.573 239.733 407.079

6 86.721 118.140 153.365 200.182 339.688

7 68.462 93.110 120.743 157.470 266.909

8 54.138 73.474 95.151 123.963 209.816

9 42.901 58.070 75.075 97.678 165.027

10 33.856 45.670 58.916 76.519 128.975

11 28.554 38.402 49.442 64.116 107.841

12 24.135 32.343 41.546 53.778 90.225

13 20.450 27.293 34.964 45.160 75.541

14 17.380 23.083 29.477 37.976 63.301

15 14.820 19.574 24.904 31.988 53.098

16 12.686 16.649 21.092 26.997 44.593

17 10.907 14.211 17.914 22.836 37.504

18 9.425 12.178 15.265 19.368 31.594

19 8.189 10.484 13.057 16.478 26.669

20 7.159 9.072 11.217 14.068 22.563

21 6.300 7.895 9.683 12.059 19.140

22 5.585 6.914 8.404 10.385 16.287

23 4.988 6.096 7.338 8.989 13.909

24 4.491 5.414 6.450 7.826 11.927

25 4.076 4.846 5.709 6.856 10.275

26 3.731 4.372 5.092 6.048 8.898

27 3.442 3.977 4.577 5.374 7.750

28 3.202 3.648 4.148 4.813 6.793

29 3.002 3.374 3.791 4.345 5.995

30 2.835 3.145 3.493 3.954 5.330

31 2.696 2.955 3.244 3.629 4.776

32 2.580 2.796 3.037 3.358 4.314

33 2.484 2.663 2.864 3.132 3.929

34 2.000 2.000 2.000 2.000 2.000

35 2.000 2.000 2.000 2.000 2.000

36 2.000 2.000 2.000 2.000 2.000

37 8.284 10.614 13.226 16.699 28.045

38 7.600 9.677 12.005 15.100 26.321

39 6.991 8.842 10.917 13.674 24.892

40 6.448 8.097 9.947 12.404 23.728

41 5.964 7.434 9.082 11.273 22.800

42 5.533 6.843 8.312 10.264 22.081

43 5.148 6.316 7.625 9.365 21.549

44 4.806 5.846 7.013 8.564 21.184

45 4.501 5.428 6.468 7.850 20.967

46 4.229 5.055 5.982 7.213 20.883

47 3.986 4.723 5.548 6.646 20.916

48 3.770 4.426 5.162 6.141 21.055

Up

4.2. Perhitungan Lengkung Kapasitas Waduk

Contoh Perhitungan Lengkung Kapasitas Waduk

1. Elevasi 1 = 95 m

2. Elevasi 2 = 96 m

3. Beda Tinggi = 95-96= 1 m

4. Luas kontur 1 = 1400000 m2

5. Luas kontur 2 = 2800000 m2

6. Volume antar interval kontur

=

=

= 700000 m3

7. Volume tampungan waduk = Volume Tampungan 1 + Volume Tampungan 2

= 0 + 700000

= 700000 m3

Perhitungan elevasi selanjutnya ditabelkan pada tabel di bawah ini.

(m) (m) (m2) (m2) (m3) (m3)(1) (2) (3) (4) (5) (6) (7) (8)1 95.0 0.0 1.4 - - - - 2 96.0 1.0 1.0 1.4 1,400,000.00 700,000.00 700,000.00 700,000.00 3 97.0 1.0 2.0 1.4 2,800,000.00 2,100,000.00 2,100,000.00 2,800,000.00 4 98.0 1.0 3.0 1.4 4,200,000.00 3,500,000.00 3,500,000.00 6,300,000.00 5 99.0 1.0 4.0 1.4 5,600,000.00 4,900,000.00 4,900,000.00 11,200,000.00 6 100.0 1.0 5.0 1.4 7,000,000.00 6,300,000.00 6,300,000.00 17,500,000.00 7 101.0 1.0 6.0 1.4 8,400,000.00 7,700,000.00 7,700,000.00 25,200,000.00 8 102.0 1.0 7.0 1.4 9,800,000.00 9,100,000.00 9,100,000.00 34,300,000.00 9 103.0 1.0 8.0 1.4 11,200,000.00 10,500,000.00 10,500,000.00 44,800,000.00 10 104.0 1.0 9.0 1.4 12,600,000.00 11,900,000.00 11,900,000.00 56,700,000.00 11 105.0 1.0 10.0 1.4 14,000,000.00 13,300,000.00 13,300,000.00 70,000,000.00 12 106.0 1.0 11.0 1.4 15,400,000.00 14,700,000.00 14,700,000.00 84,700,000.00 13 107.0 1.0 12.0 1.4 16,800,000.00 16,100,000.00 16,100,000.00 100,800,000.00 14 108.0 1.0 13.0 1.4 18,200,000.00 17,500,000.00 17,500,000.00 118,300,000.00 15 109.0 1.0 14.0 1.4 19,600,000.00 18,900,000.00 18,900,000.00 137,200,000.00 16 110.0 1.0 15.0 1.4 21,000,000.00 20,300,000.00 20,300,000.00 157,500,000.00 17 111.0 1.0 16.0 1.4 22,400,000.00 21,700,000.00 21,700,000.00 179,200,000.00 18 112.0 1.0 17.0 1.4 23,800,000.00 23,100,000.00 23,100,000.00 202,300,000.00 19 113.0 1.0 18.0 1.4 25,200,000.00 24,500,000.00 24,500,000.00 226,800,000.00 20 114.0 1.0 19.0 1.4 26,600,000.00 25,900,000.00 25,900,000.00 252,700,000.00 21 115.0 1.0 20.0 1.4 28,000,000.00 27,300,000.00 27,300,000.00 280,000,000.00

Sumber : Perhitungan1. Data 4. Data 7. (6)*tinggi kontur2. Data 5. (3)*(4)*10^6 8. (7)n-1 + (7)n

3. (2)n - 30 6. [(5)n+(5)n+1]/2

Volume Tampungan

WadukNo.

Elevasi Delta H

Selisih dengan Kontur

Terendahβ

Luas Kontur (daerah

genangan)

Luas Rata-Rata Antar Kontur

Volume Antar Interval Kontur

Tabel 4.2.1 Data Storage Area Curveve

Gambar 4.1. Lengkung Kapasitas Waduk

4.3. Perhitungan Koefisien Debit pelimpah

a. Perhitungan Koefisien Debit Pelimpah QPMF

Elevasi dasar waduk : +70

Elevasi ambang pelimpah : + 87

Tinggi pelimpah : 2 m

Nilai C : 2

∆t : 3600 detik

Lebar ambang : 40 m

Tabel 4.2.2 Hubungan H – S – Q Kala Ulang QPMF

D SΔt

(m) (m) (juta m3) (juta m3) (m3/det) (m3/det) (m3/det) (m3/det)1 2 3 3 4 5 5 5

85.00 0.00 135 0 - 0.00 0.00 0.0086.00 1.00 154 19 5,166.67 80.00 5126.67 5206.6787.00 2.00 173 38 10,666.67 226.27 10553.53 10779.8088.00 3.00 194 59 16,500.00 415.69 16292.15 16707.8589.00 4.00 217 82 22,666.67 640.00 22346.67 22986.6790.00 5.00 240 105 29,166.67 894.43 28719.45 29613.8891.00 6.00 265 130 36,000.00 1175.76 35412.12 36587.8892.00 7.00 290 155 43,166.67 1481.62 42425.86 43907.4893.00 8.00 317 182 50,666.67 1810.19 49761.57 51571.7694.00 9.00 346 211 58,500.00 2160.00 57420.00 59580.0095.00 10.00 375 240 66,666.67 2529.82 65401.76 67931.58

Sumber : Perhitungan

D S ψ ϕElevasi M.A H S Q

Tabel 4.2.3 Perhitungan Penelusuran Banjir Melalui Pelimpah

Kala Ulang QPMF

(I1 + I2)2

(jam) (m3/det) (m3/det) (m3/det) (m3/det) (m3/det) (m) (m)2 3 4 5 6 7 7 70 2.00 0.00 2.00 0.03 87.031 177.46 89.73 128.17 217.89 177.46 1.67 88.672 776.93 477.19 8742.36 9219.56 776.93 4.54 91.543 730.31 753.62 25776.48 26530.10 730.31 4.35 91.354 644.30 687.30 24608.70 25296.00 644.30 4.02 91.025 554.24 599.27 22454.36 23053.63 554.24 3.62 90.626 502.41 528.32 20031.86 20560.18 502.41 3.39 90.397 437.54 469.97 18632.74 19102.71 437.54 3.10 90.108 325.50 381.52 16881.88 17263.39 325.50 2.52 89.529 246.22 285.86 13559.60 13845.46 246.22 2.11 89.11

10 189.12 217.67 11157.66 11375.33 189.12 1.75 88.7511 152.13 170.63 9175.13 9345.76 152.13 1.49 88.4912 123.48 137.81 7802.89 7940.70 123.48 1.30 88.3013 101.03 112.26 6739.92 6852.18 101.03 1.14 88.1414 83.29 92.16 5906.79 5998.95 83.29 1.02 88.0215 69.22 76.26 5248.82 5325.08 69.22 0.87 87.8716 58.03 63.63 4435.86 4499.48 58.03 0.73 87.7317 48.71 53.37 3718.88 3772.25 48.71 0.61 87.6118 40.93 44.82 3121.24 3166.06 40.93 0.51 87.5119 34.45 37.69 2623.07 2660.76 34.45 0.43 87.4320 29.05 31.75 2207.81 2239.56 29.05 0.36 87.3621 24.55 26.80 1861.67 1888.47 24.55 0.31 87.3122 20.80 22.67 1573.15 1595.82 20.80 0.26 87.2623 17.67 19.23 1332.64 1351.87 17.67 0.22 87.2224 15.06 16.36 1132.17 1148.53 15.06 0.19 87.1925 12.89 13.97 965.06 979.03 12.89 0.16 87.1626 11.07 11.98 825.77 837.75 11.07 0.14 87.1427 9.56 10.32 709.66 719.98 9.56 0.12 87.1228 8.30 8.93 612.87 621.81 8.30 0.10 87.1029 7.26 7.78 532.20 539.98 7.26 0.09 87.0930 6.38 6.82 464.95 471.77 6.38 0.08 87.0831 5.65 6.02 408.90 414.91 5.65 0.07 87.0732 5.04 5.35 362.17 367.52 5.04 0.06 87.0633 4.54 4.79 323.22 328.01 4.54 0.06 87.0634 3.22 3.88 290.76 294.64 3.22 0.04 87.0435 2.78 3.00 206.26 209.26 2.78 0.03 87.0336 2.49 2.64 178.33 180.97 2.49 0.03 87.0337 28.88 15.68 159.51 175.19 28.88 0.36 87.3638 25.95 27.42 1850.54 1877.96 25.95 0.32 87.3239 23.35 24.65 1663.17 1687.82 23.35 0.29 87.2940 21.02 22.19 1496.18 1518.36 21.02 0.26 87.2641 18.96 19.99 1347.35 1367.34 18.96 0.24 87.2442 17.11 18.03 1214.72 1232.75 17.11 0.21 87.2143 15.47 16.29 1096.51 1112.80 15.47 0.19 87.1944 14.00 14.73 991.17 1005.90 14.00 0.18 87.1845 12.70 13.35 897.28 910.63 12.70 0.16 87.1646 11.53 12.11 813.61 825.73 11.53 0.14 87.1447 10.50 11.01 739.04 750.06 10.50 0.13 87.1348 9.57 10.03 672.59 682.62 9.57 0.12 87.12

776.93 4.54 91.54

Elevasi

Maksimum

Waktu Inflow ψ ϕ Outflow H

Sumber: Perhitungan

Gambar 4.2 Hubungan hidrograf Inflow dan Outflow Kala Ulang QPMF

b. Perhitungan Koefisien Debit Pelimpah Q1000

Elevasi dasar waduk : +70

Elevasi ambang pelimpah : + 87

Tinggi pelimpah : 3 m

Nilai C : 2

∆t : 3600 detik

Lebar ambang : 40 m

Tabel 4.2.4 Hubungan H – S – Q Kala Ulang 1000 Tahun

D SΔt

(m) (m) (juta m3) (juta m3) (m3/det) (m3/det) (m3/det) (m3/det)1 2 3 3 4 5 5 5

85.00 0.00 135 0 - 0.00 0.00 0.0086.00 1.00 154 19 5,166.67 80.00 5126.67 5206.6787.00 2.00 173 38 10,666.67 226.27 10553.53 10779.8088.00 3.00 194 59 16,500.00 415.69 16292.15 16707.8589.00 4.00 217 82 22,666.67 640.00 22346.67 22986.6790.00 5.00 240 105 29,166.67 894.43 28719.45 29613.8891.00 6.00 265 130 36,000.00 1175.76 35412.12 36587.8892.00 7.00 290 155 43,166.67 1481.62 42425.86 43907.4893.00 8.00 317 182 50,666.67 1810.19 49761.57 51571.7694.00 9.00 346 211 58,500.00 2160.00 57420.00 59580.0095.00 10.00 375 240 66,666.67 2529.82 65401.76 67931.58

Sumber : Perhitungan

D S ψ ϕElevasi M.A H S Q

Tabel 4.2.5 Perhitungan Penelusuran Banjir Melalui Pelimpah

Kala Ulang 1000 Tahun

(I1 + I2)2

(jam) (m3/det) (m3/det) (m3/det) (m3/det) (m3/det) (m) (m)2 3 4 5 6 7 7 70 2.00 0.00 2.00 0.03 87.031 105.46 53.73 128.17 181.90 105.46 1.17 88.172 458.96 282.21 6071.34 6353.55 458.96 3.19 90.193 431.47 445.21 17459.99 17905.21 431.47 3.07 90.074 380.75 406.11 16717.93 17124.03 380.75 2.82 89.825 327.64 354.20 15233.49 15587.69 327.64 2.54 89.546 297.08 312.36 13624.61 13936.97 297.08 2.37 89.377 258.83 277.95 12698.59 12976.54 258.83 2.17 89.178 192.76 225.79 11539.77 11765.56 192.76 1.77 88.779 146.01 169.38 9310.08 9479.46 146.01 1.45 88.45

10 112.34 129.17 7575.59 7704.77 112.34 1.22 88.2211 90.53 101.44 6326.53 6427.96 90.53 1.07 88.0712 73.64 82.08 5517.36 5599.44 73.64 0.92 87.9213 60.39 67.01 4718.82 4785.84 60.39 0.75 87.7514 49.94 55.17 3870.24 3925.41 49.94 0.62 87.6215 41.64 45.79 3200.08 3245.87 41.64 0.52 87.5216 35.04 38.34 2668.31 2706.65 35.04 0.44 87.4417 29.54 32.29 2245.52 2277.81 29.54 0.37 87.3718 24.96 27.25 1893.11 1920.36 24.96 0.31 87.3119 21.14 23.05 1599.35 1622.40 21.14 0.26 87.2620 17.95 19.54 1354.48 1374.03 17.95 0.22 87.2221 15.30 16.62 1150.37 1167.00 15.30 0.19 87.1922 13.08 14.19 980.24 994.43 13.08 0.16 87.1623 11.24 12.16 838.42 850.58 11.24 0.14 87.1424 9.70 10.47 720.20 730.67 9.70 0.12 87.1225 8.42 9.06 621.66 630.72 8.42 0.11 87.1126 7.35 7.88 539.52 547.41 7.35 0.09 87.0927 6.46 6.91 471.06 477.96 6.46 0.08 87.0828 5.72 6.09 413.99 420.08 5.72 0.07 87.0729 5.10 5.41 366.41 371.82 5.10 0.06 87.0630 4.58 4.84 326.76 331.60 4.58 0.06 87.0631 4.15 4.37 293.71 298.07 4.15 0.05 87.0532 3.79 3.97 266.15 270.13 3.79 0.05 87.0533 3.50 3.65 243.19 246.83 3.50 0.04 87.0434 2.72 3.11 224.04 227.15 2.72 0.03 87.0335 2.46 2.59 174.22 176.81 2.46 0.03 87.0336 2.29 2.38 157.75 160.12 2.29 0.03 87.0337 17.97 10.13 146.65 156.78 17.97 0.22 87.2238 16.23 17.10 1151.68 1168.79 16.23 0.20 87.2039 14.69 15.46 1040.34 1055.80 14.69 0.18 87.1840 13.31 14.00 941.10 955.10 13.31 0.17 87.1741 12.08 12.69 852.66 865.35 12.08 0.15 87.1542 10.98 11.53 773.85 785.37 10.98 0.14 87.1443 10.00 10.49 703.60 714.09 10.00 0.13 87.1344 9.13 9.57 641.00 650.57 9.13 0.11 87.1145 8.36 8.74 585.21 593.96 8.36 0.10 87.1046 7.66 8.01 535.49 543.50 7.66 0.10 87.1047 7.05 7.36 491.18 498.53 7.05 0.09 87.0948 6.50 6.77 451.69 458.46 6.50 0.08 87.08

458.96 3.19 90.19Sumber : Perhitungan

Maksimum

Outflow H ElevasiϕWaktu Inflow ψ

Gambar 4.3 Hubungan hidrograf Inflow dan Outflow Kala Ulang 1000 Tahun

Perhitungan Nilai Cd menggunakan metode Iwasaki

Elevasi ambang pelimpah = 87

Elevasi dasar pelimpah = 85Tinggi pelimpah = 2Cd (asumsi) = 2

Q1000th = = 458.958 m3/dt

QPMF = = 776.932 m3/dtLebar Pelimpah rencana = 40 mKoef. Pilar (Kp) =Koef. Abutmen (Ka) = 0.24Jumlah pilar = 0Perhitungan nilai Cd Q1000th

Ketika harga C = Cd maka H = Hd sehingga:

Q = Cd . Beff . H3/2

Beff = L - 2.(n.Kp + Ka) Hd

Beff = 40 - 2.( 0 + 0.24 ) Hd

Beff = 40 - 0.480 HdUntuk nilai Cd = 2 maka:

Q1000th = Cd . Beff . Hd3/2 Hd Qhitung

458.958 = 2 . (40 - 0.240 Hd) . Hd3/2 3.292 458.958

Dari hasil Trial and Error didapatkan nilai Hd = 3.292 mCek nilai Cd = 2 dengan rumus Iwasaki:Cd = 2,20 - 0,0416 (Hd/P)0,99

Cd = 2.131

Karena Nilai Cd belum sama maka dilakukan coba-coba sampai hasilnya sama

Tabel 4.10 Perhitungan Koefisien Debit (Cd)

Cd coba-coba Hd Cd Hitung

Qhitung(m1/2/dt) (m) (m1/2/dt)

2.000 3.292 2.131 458.958

2.131 3.152 2.152 458.958

2.134 3.149 2.149 458.958

Dari perhtungan diatas didapat nilai: Cd = 2.134

Hd = 3.149

Selanjutnya dilakukan perhitungan nilai a sbb:Cd = 1,6 x 1+2a(h/Hd)

1+a(h/Hd)

2.134 = 1,6 x 1+2a(h/Hd), karena h = Hd maka:

1+a(h/Hd)2.134 = 1,6 x 1+2a

1+a2.134 + 2.134 a = 1,6

+ 3.2 a , maka a = 0.501Maka persamaan Cd menjadi :

Cd = 1,6 + 1.593 (h/3.149)1+ 0.498 (h/3.149)

Kontrol Debit

Q = Cd . Beff . H3/2

Beff = 40 - 0.240 Hd = 38.488 m

Q = 2.134 . 38.488 . 3.1493/2 = 458.958 m3/dt

Tabel 4.11. Perhitungan Hd Q1000th dan QPMF

Debit Rencana Q B Hd B' C Q

( m3/dt) (m) (m) (m) (m1/2/dt) ( m3/dt)

Q1000th 458.958 40.000 3.149 38.488 2.134 458.958

QPMF 776.932 40.000 4.355 37.909 2.255 776.932

Tabel Perhitungan Debit Pelimpah

Elevasi H C Beff Q

(m) (m1/2/dt) (m) (m3/dt)87.0 0.00 1.600 40.000 0.00087.1 0.1 1.625 39.972 2.054

87.2 0.2 1.649 39.944 5.893

87.3 0.3 1.673 39.916 10.972

87.4 0.4 1.696 39.888 17.11187.5 0.5 1.718 39.860 24.20987.6 0.6 1.739 39.832 32.20087.7 0.7 1.760 39.804 41.036

87.8 0.8 1.781 39.776 50.679

87.9 0.9 1.800 39.748 61.100

88.0 1.0 1.820 39.720 72.274

88.1 1.1 1.838 39.692 84.179

88.2 1.2 1.856 39.664 96.795

88.3 1.3 1.874 39.636 110.107

88.4 1.4 1.891 39.608 124.098

88.5 1.5 1.908 39.580 138.753

88.6 1.6 1.925 39.552 154.06088.7 1.7 1.941 39.524 170.00688.8 1.8 1.956 39.496 186.58088.9 1.9 1.971 39.468 203.769

89.0 2.0 1.986 39.440 221.564

89.1 2.1 2.001 39.412 239.95489.2 2.2 2.015 39.384 258.93089.3 2.3 2.029 39.356 278.48189.4 2.4 2.042 39.328 298.600

89.5 2.5 2.055 39.300 319.276

89.6 2.6 2.068 39.272 340.503

89.7 2.7 2.081 39.244 362.271

89.8 2.8 2.093 39.216 384.57389.9 2.9 2.105 39.188 407.40190.0 3.0 2.117 39.160 430.74690.1 3.1 2.128 39.132 454.60390.2 3.2 2.140 39.104 478.96490.3 3.3 2.151 39.076 503.82290.4 3.4 2.162 39.048 529.17090.5 3.5 2.172 39.020 555.00190.6 3.6 2.183 38.992 581.30990.7 3.7 2.193 38.964 608.08890.8 3.8 2.203 38.936 635.33190.9 3.9 2.213 38.908 663.03391.0 4.0 2.222 38.880 691.187

Bab IV 01 MUFTI

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