Perhitungan Hidrograf Banjir Periode Ulang 100 Tahun Hidrograf Banjir Rancangan Periode Ulang 100 Tahun Dengan Metode Nakayasu

Data Nilai Satuan Perhitungan

Base flow 25 Tg

Panjang sungai (L) 18 Km Tr 2 - Tp

C 0.8 -

Luas DAS 181.1813 Qp

R100th 79.95186 mm

m3/s

T(0.3)

Km2

Hidrograf Banjir Rancangan Periode Ulang 100 Tahun Dengan Metode Nakayasu

Nilai Satuan

1.444 Jam

0.722 Jam2.022 Jam

2.888 Jam

11.522 m3/s

Bagian Lengkung Naik (Qa)Interval Rumus :

Qp= 11.522Waktu (t) Nilai

0 0.0001 2.1272 11.228

2.022 11.527

Bagian Lengkung Turun (Qd1) Rumus :

Interval

Waktu (t) Nilai3 7.6634 5.050

4.91 3.456

Bagian Lengkung Turun (Qd2)

Interval Rumus :

Waktu (t) Nilai5 3.3716 2.5537 1.9338 1.4649 1.109

9.242 1.037Rumus :

Bagian Lengkung Turun (Qd3)Interval t>(tp+t0.3)+1.5*t0.3

t>7.653Waktu (t) Nilai

10 0.88511 0.71912 0.58413 0.47414 0.38515 0.31216 0.25317 0.20618 0.16719 0.13620 0.11021 0.08922 0.073

0ttp0t1.674

ttp+T0.3

t1.674+2.392t4.066

tp+t0.3t(tp+t0.3)+1.5*t0.3

4.066t(4.066)+1.5*2.3924.066t

�� (□(64 )=�� � &�/�� )^2.4

��1 =�� � 0.3 ^ (□(64& ) 0.3)(�−�� /� )

��2 =�� � 0.3 ^ (□(64& 0.3∗0.5)/(1.5 0.3))(�−��+� ∗� )

��2 "0.3 ^ (" =�� �□(64& 0.3∗1.5)/(�−��+�(2 0.3))")"∗�

23 0.05924 0.048

Tp 2.022T(0.3) 2.888

4.9104.3329.242

��2 =�� � 0.3 ^ (□(64& 0.3∗0.5)/(1.5 0.3))(�−��+� ∗� )

Tabel Perhitungan Hujan Jam-Jaman

Jam Rt Rt' Ratio (%)Hujan Efektif

( mm )

1 0.585 0.585 58.5 35.545

2 0.368 0.151 15.1 9.1753 0.281 0.107 10.7 6.501 c = 0.84 0.232 0.085 8.5 5.165 Rn = C x R5 0.200 0.072 7.2 4.375 = 60.76149 mm

Jumlah 60.761

Rc=R100*Rt'

Rn kala Ulang 100 tahun

R100 = 75.95186 mm

Rn= C x R = 60.76149

Tabel Hidrograf Banjir Rancangan Periode 100 Tahun Dengan Metode NakayasuJam Qp Rc1 Rc2 Rc3 Rc4 Rc5 Base Flow

( t ) 35.545 9.175 6.501 5.165 4.3750 0.000 0.000 25.0001 2.127 75.620 0.000 25.0002 11.228 399.122 19.519 0.000 25.000

2.022 11.527 409.740 103.021 13.831 0.000 25.0003 7.663 272.371 105.762 73.002 10.987 0.000 25.0004 5.050 179.518 70.304 74.944 57.992 9.307 25.000

4.91 3.456 122.843 46.337 49.818 59.535 49.123 25.0005 3.371 119.815 31.708 32.835 39.575 50.430 25.0006 2.553 90.743 30.927 22.469 26.084 33.523 25.0007 1.933 68.724 23.422 21.915 17.849 22.095 25.0008 1.464 52.048 17.739 16.597 17.409 15.119 25.0009 1.109 39.419 13.435 12.570 13.185 14.746 25.000

9.242 1.037 36.855 10.175 9.520 9.986 11.168 25.00010 0.885 31.470 9.513 7.210 7.563 8.458 25.00011 0.719 25.548 8.123 6.741 5.728 6.406 25.00012 0.584 20.741 6.595 5.756 5.355 4.852 25.00013 0.474 16.839 5.354 4.673 4.572 4.536 25.00014 0.385 13.671 4.346 3.794 3.712 3.873 25.00015 0.312 11.098 3.529 3.080 3.014 3.144 25.00016 0.253 9.010 2.865 2.500 2.447 2.553 25.00017 0.206 7.315 2.326 2.030 1.986 2.072 25.00018 0.167 5.939 1.888 1.648 1.613 1.683 25.00019 0.136 4.821 1.533 1.338 1.309 1.366 25.00020 0.110 3.914 1.244 1.086 1.063 1.109 25.00021 0.089 3.178 1.010 0.882 0.863 0.900 25.00022 0.073 2.580 0.820 0.716 0.701 0.731 25.00023 0.059 2.094 0.666 0.581 0.569 0.593 25.00024 0.048 1.700 0.541 0.472 0.462 0.482 25.000

0.439 0.383 0.375 0.391 25.0000.311 0.304 0.318 25.000

0.247 0.258 25.0000.209 25.000

( m3/dt ) ( m3/dt )

Q total

25.000100.620443.641551.593487.122417.066352.656299.363228.744179.005143.913118.355102.704

89.21377.54668.29860.97454.39648.86544.37540.72937.77035.36733.41731.83330.54729.50428.65626.58825.93325.50525.209

( m3/dt )

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 320.000

100.000

200.000

300.000

400.000

500.000

600.000

Grafik Hidrograf Banjir Rancangan Dengan Metode Nakayasu Untuk Kala Ulang 100 Tahun

Column H

Column I

Waktu (jam)

Q (m3/dt)

��=551.593 3 � /��

25.000 3 � /��

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 320.000

100.000

200.000

300.000

400.000

500.000

600.000

Grafik Hidrograf Banjir Rancangan Dengan Metode Nakayasu Untuk Kala Ulang 100 Tahun

Column H

Column I

Waktu (jam)

Q (m3/dt)

25.000 3 � /��

Tabel Inflow Hubungan Tinggi Muka Air Dengan Volume

Jam Inflow H (m) ( t ) ( m3/dt ) 0.5

0 25.000 11 100.620 1.52 443.641 2

2.022 551.593 2.53 487.122 34 417.066 3.5

4.91 352.656 45 299.363 4.56 228.744 57 179.005 5.58 143.913 69 118.355 6.5

9.242 102.704 710 89.213 7.511 77.546 812 68.298 8.513 60.974 914 54.396 9.515 48.865 1016 44.375 10.517 40.729 1118 37.770 11.519 35.367 1220 33.417 12.521 31.83322 30.54723 29.50424 28.656

Hubungan Tinggi Muka Air Dengan Volume

202476.6452376

273311.94577782

368928.57256303

497996.13136572

672217.24013489

907388.61102261

1224833.3459111

1653334.3123682

2231743.9001634

3012506.7862305

4066415.1188763

4697747.3317413

5427097.1722584

6269682.3897121

7243083.3685456

8367609.9398252

9666725.1421021

11167534.7733646

12901352.948491

14904355.462453

17218334.591577

19891571.081647

22979841.516714

26547582.087196

30669233.039044

Volume (m3)

H (m)

Q Q/2

0 142757 90.2797222 0 0 90.27972 90.279720.1 163441 91.9047222 0.315187 0.157594 91.74713 92.062320.2 191924 93.5294444 0.891485 0.445742 93.0837 93.975190.3 247470 96.7788889 1.637762 0.818881 95.96001 97.597770.4 271272 100.028611 2.521499 1.26075 98.76786 101.28940.5 281067 101.653333 3.523902 1.761951 99.89138 103.41530.6 325007 103.278056 4.632289 2.316145 100.9619 105.59420.7 330857 109.777222 5.837352 2.918676 106.8585 112.69590.8 336706 113.026667 7.131876 3.565938 109.4607 116.59260.9 348404 116.276389 8.510059 4.25503 112.0214 120.53141 360103 119.525833 9.9671 4.98355 114.5423 124.5094

1.1 365952 122.775278 11.49894 5.74947 117.0258 128.52471.2 371801 126.025 13.10209 6.551047 119.474 132.5761.3 395198 129.274444 14.77352 7.386758 121.8877 136.66121.4 406896 130.981667 16.51052 8.255262 122.7264 139.23691.5 418595 132.400556 18.31073 9.155366 123.2452 141.55591.6 430293 119.525833333 20.17199 10.086 109.4398 129.61181.7 441991 122.775277778 22.09236 11.04618 111.7291 133.82151.8 453690 126.025 24.07008 12.03504 113.99 138.061.9 465388 129.274444444 26.10353 13.05176 116.2227 142.32622 471534 130.981666667 28.19122 14.09561 116.8861 145.0773

2.1 476642 132.400555556 30.33177 15.16589 117.2347 147.56642.2 482442 134.011666667 32.52392 16.26196 117.7497 150.27362.3 488069 135.574722222 34.76647 17.38323 118.1915 152.9582.4 493696 137.137777778 37.05832 18.52916 118.6086 155.6669

B= 5.5 m

C= 2.21

Qo= 2.51

Volume (m3)

S/t

(m3/s) (m3/s) (m3/s)

Q = C . B . 0.82 . H 3/2

m1/2/dt

m3/dt

Jam ke- Inflow (I) (I1 + I2 )/2 (t)

0 25.0001 88.635 56.817664 90.27972 147.09742 251.843 170.239222 92.51691 262.75613 264.727 258.284924 100.152 358.43694 243.822 254.274581 110.5294 364.8045 216.472 230.147317 108.4386 338.58596 191.316 203.89407 113.4009 317.2957 139.011 165.163656 202.1567 367.32048 105.413 122.212267 164.5925 286.80489 83.688 94.5507154 180.2862 274.8369

10 75.005 79.3465291 196.5991 275.945611 67.865 71.4349399 213.4747 284.909612 61.892 64.8787205 230.8516 295.730413 56.998 59.4449825 248.634 308.078914 50.516 53.7570549 172.9384 226.695415 50.472 50.4942259 158.2905 208.784716 45.095 47.7835945 -933.6051 -885.821517 40.853 42.9743344 303.7062 346.680518 37.507 39.1802338 323.0335 362.213719 34.867 36.1870084 342.5099 378.696920 32.784 33.8256061 190.2011 224.026721 31.141 31.9626588 159.0528 191.015422 29.845 30.4929505 184.5289 215.021923 28.822 29.3334747 179.8726 209.206124 28.015 28.418746 181.1084 209.5272

(m3/s) (m3/s)

Outflow (Q) H

(m)

3.51 1.11362311.020437209 1.95759260.917042471 8.24333361.730928529 7.0998974.525162816 7.583105149.70389938 13.68853150.63490772 12.7157753.590484257 4.38885676.362179289 5.82330375.754391984 5.5151380.105255028 5.57868487.931716317 5.86765596.821103579 6.208849106.74547244 6.594846

113.8942878 6.809586115.22271113 6.706794165.51205167 9.168327154.41697164 8.390773167.80995716 8.868781182.18780831 9.37642141.97191193 7.315478118.75893272 6.133817142.74987433 7.115203140.40705881 6.909406143.20007442 9.274037

(m3/s)

Jam ke- Inflow (I) Outflow (Q)(t) (m3/s) (m3/s)0 25.000 3.511 88.635 11.02043722 251.843 60.91704253 264.727 61.73092854 243.822 74.52516285 216.472 149.7038996 191.316 150.6349087 139.011 53.59048438 105.413 76.36217939 83.688 75.754392

10 75.005 80.10525511 67.865 87.931716312 61.892 96.821103613 56.998 106.74547214 50.516 113.89428815 50.472 115.22271116 45.095 165.51205217 40.853 154.41697218 37.507 167.80995719 34.867 182.18780820 32.784 141.97191221 31.141 118.75893322 29.845 142.74987423 28.822 140.40705924 28.015 143.200074

0 5 10 15 20 25 300.000

50.000

100.000

150.000

200.000

250.000

300.000

Column B

Column C

0 5 10 15 20 25 300.000

50.000

100.000

150.000

200.000

250.000

300.000

Column B

Column C