REKAYASA HIDROLOGI

PENDAHULUANPengertian Hidrologi : ilmu yang menjelaskan tentang kehadiran dan gerakan air di alam ini meliputi berbagai bentuk air dan perubahan-perubahan bentuknya.Jumlah air di planet bumi : 1400 x 1015 m3. Air laut/asin : 97 %Air tawar : 3 %24 % berupa air tanah0,3 % terdapat di danau-danau0,065 % sebagai butir-butir air atau lengas tanah0,035 % ada di atmosfir berupa awan, kabut, embun, hujan dll0,03 % berupa air hujanJumlah air tawar yang dapat digunakan langsung oleh manusia sangat terbatas

Daur/Siklus HidrologiDaur/Siklus hidrologi adalah gerakan air laut ke udara yang kemudian jatuh ke permukaan tanah lagi sebagai hujan atau bentuk presifitasi lain dan akhirnya mengalir ke laut kembali.Skema daur hidrologi dapat digambarkan sebagai berikut :

Proses daur hidrologiAir laut menguap karena adanya radiasi matahari, dan awan yang terjadi oleh uap air, bergerak di atas daratan karena didesak oleh anginPresifitasi karena adanya tabrakan antara butir-butir uap air akibat desakan angin dapat berbentuk hujan atau salju yang jatuh ke tanah membentuk limpasan (run off) yang mengalir kembali ke lautBeberapa diantaranya masuk ke dalam tanah (infiltrasi) dan bergerak terus ke bawah (perkolasi) ke dalam daerah jenuh (saturated zone)Air dalam daerah ini bergerak perlahan-lahan melewati akwifer masuk ke sungai atau kadang-kadang langsung ke lautAda empat macam proses dalam daur hidrologi :PresifitasiEvaporasi dan transpirasiInfiltrasi dan perkolasiLimpasan permukaan (surface runoff) dan limpasan air tanah (subsurface runoff)75 % terdapat di kutub (salju)

Fungsi Hidrologi dalam Rekayasa SipilPembuatan bendung pengelakBila seorang kontraktor membuat bendung pengelak, maka ahli hidrologinya akan menyarankan untuk membangun pada ketinggian tertentu sehingga hanya akan dilampaui pada kala ulang tertentuMerencanakan jalan yang melewati bangunan persilangan (gorong-gorong, jembatan, talang, sipon dll) perlu diperhatikan dimensi bangunan tersebut.IrigasiDalam merencanakan bangunan irigasi perlu diperhatikan kebutuhan air irigasi, ketersediaan air sungai, debit banjir dll.

EVAPORASI DAN EVAPOTRANSPIRASIFaktor-faktor meteorologi yang mempengaruhi evaporasi :Radiasi matahariPerubahan dari keadaan cair menjadi gas memerlukan input energi berupa panas laten untuk evaporasi. Proses tersebut akan sangat aktif jika ada penyinaran langsung dari matahari.AnginAgar proses evaporasi berjalan terus, lapisan jenuh harus diganti dengan udara kering. Pergantian ini dimungkinkan jika ada angin. Jadi kecepatan angin memegang peranan penting dalam proses evaporasi.Kelembaban udara (humaditas) relatifJika kelembaban udara naik, kemampuan menyerap uap air akan berkurang sehingga laju evaporasi akan menurunSuhu (temperatur)Jika suhu udara dan tanah cukup tinggi, proses evaporasi akan berlangsung lebih cepat dibandingkan dengan jika suhu udara dan tanah rendah.

TRANSPIRASIProses pengangkutan air dari daerah perakaran (rootzone) suatu tanaman dan diangkut sampai ke daun dengan membawa karbondioksida (CO2) dan menguap ke atmosfirEvapotranspirasi : proses penguapan dari seluruh tubuh air, tanah, tumbuh-tumbuhan dan permukaan bumi seperti es dan salju serta transpirasi dari vegetasi.Jumlah air yang hilang dari tanah oleh evapotranspirasi tergantung :Adanya persediaan air yang cukup (hujan dll)Faktor-faktor iklim ( suhu, kelembaban, dll)Tipe dan cara kultivasi tumbuh-tumbuhan tersebut

PENGUKURAN EVAPORASI DAN EVAPOTRANSPIRASIAtmometer : alat untuk mengukur evaporasi dari permukaan basah yang dibakukan (standardized wet surface).Macam-macam atmometer :Atmometer Piche : terdiri atas gelas yang diberi skala, bagian bawahnya diisi dengan air. Diantara gelas berskala dan bagian bawahnya diberi sehelai kertas filter yang ditekan terhadap suatu piringan (disk) Atmometer Livingstone Merupakan bola porselin berpori diisi dengan air untuk memberikan muka evaporasi.

Panci EvaporasiDibuat untuk meniru (stimulate) kondisi evaporasi permukaan air bebasPanci evaporasi dapat dipasang :Di atas permukaan tanah - Ditanam dalam tanah Mengambang di air

Prinsip Pengukuran PenguapanPenguapan diukur dengan panci penguapan Type A yang merupakan standar pengukuran yang disarankan untuk digunakan oleh World Meteriological Organization. Penguapan netto diperoleh dengan cara menambah dan mengambil air dari panci penguapan yang berbentuk silinder dengan tujuan agar muka air didalam tabung penenang tetap sama tinggi dengan titik tinggi pedoman (fixed point). Alat-Alat dan BahanTangki penguapan Type A merupakan suatu wadah yang berbentuk silinder yang memiliki tinggi 25 cm, diameter dalam 120.7 cm. Terbuat dari besi yang digalvanisir atau baja monel yang dilengkapi dengan tabung penenang yang terbuat dari pipa besi diameter 3 inci dengan tinggi 20 cm . Didalamnya diisi besi runcing untuk menentukan titik tinggi pedoman dalam mengukur posisi air didalam panci penguapan. Dalam panci penguapan diisi air hingga mencapai ketinggian 5 cm di bawah bibir panci (rim) dan diharuskan tidak boleh lebih dari 7,5 cm di bawah bibir panci (rim). Panci penguapan ini diletakkan di atas punggung kayu dengan ketinggian 15 cm dari dasar tanah dengan tujuan untuk memberikan sirkulasi udara di bawah panci.

Gambar Panci Evaporasi

Mengukur radiasi MatahariPada stasiun pencatat meteorologi dilengkapi dengan radiometer untuk mengukur gelombang pendek radiasi yang masuk dari matahari/angkasa dan radiasi netto yang dipantulkan.Radiasi yang dipantulkan merupakan penjumlahan dari radiasi gelombang pendek dan gelombang panjang

Mengukur Kecepatan AnginKecepatan angin diukur dengan anemometer, sedang arah angin dengan kipas (wind vane)Rumus empiris antara kecepatan angin dengan ketinggian :(u/uo)=(z/zo)0,15Dimana :uo = kecepatan angin pada ketinggian zou = kecepatan angin pada ketinggian z yang lebih besar dari zoz = standar baru ketinggian alat = 2 m

Mengukur Kelembaban UdaraUdara dapat menyerap air dalam bentuk uap airMakin tinggi suhu udara makin banyak uap air yang dapat diserapUap air menghasilkan tekanan yang besarnya 1 bar = 105 N/m2 Kelembaban relatif dirumuskan :h = ea / esTekanan uap udara (ea) pada suhu t dicari dengan rumus :(es ea) = (t tw)Dimana :Es = tekanan uap jenuh (tergantung suhu, ada tabelnya)Tw = suhu bola basahT = suhu bola kering = konstanta psychrometer, = 0,66 (e dalam milibar) = 0,485 (e dalam mm Hg) Mengukur suhuSuhu dicatat dengan termometer yang ditempatkan dalam sangkar yang diberi ventelasi dan diletakkan 1,2 m di atas permukaan tanah

MENAKSIR EVAPOTRANSPIRASI DENGAN RUMUS EMPIRISMetode ThornwaiteMetode ini dikembangkan di Amerika Serikat di daerah beriklim sedang. Langkah-langkah perhitungan dengan metode ini adalah :Dari data temperatur udara (0C/bulan)Hitung indeks panas tahunan (I) dengan persamaan :Hitung koefisien (a), yang besarnya tergantung lokasi analisis dengan persamaan :a = (675 . 10-9)I3 (771 . 10-7)I2 + (179 . 10-4).I + 0.492 Hitung besarnya evapotranspirasi (cm/bulan) untuk garis lintang 00 dengan persamaan

5. Hitung besar evapotranspirasi (cm/bulan) untuk garis lintang lokasi pengamatan dengan persamaan : ET0 = c . ET0 (00) Dimana : ET0 = Evapotranspirasi (cm/bulan) T = Temperatur udara (0C/bulan) I = Indeks panas tahunan a dan c = Koefisisien yang tergantung pada lokasi studi

Metode Blaney-CriddleLangkah-langkah perhitungan dengan metode ini adalah 1. Dari data temperatur rata-rata (0C/bulan)2. Hitung nilai (p) dengan persamaan : P = j / J . 100 3. Hitung evapotranspirasi dengan persamaan :ETo = P (0.46 T + 8.13) dimana :j= rata-rata lamanya waktu siang hari untuk bulan tertentuJ= jumlah waktu lamanya siang dalam setahunT= temperatur rata-rata (0C/bulan)P= koefisien

Metode Penman ModifikasiProsedur perhitungan metode Penman-modifikasi :1. Data yang dibutuhkan :a) Temperatur udara (oC)b)Kelembaban udara relatif. (%).c)Kecepatan angin (m/dt)d)Durasi matahari e) Menentukan elevasi daerah dan tekanan atmosfir.2. Menentukan fungsi kecepatan angin, F(u) = 0,27 (1 + U/100) 3. Menentukan defisit tekanan uapa)Tekanan uap jenuh (es) Tekanan uap jenuh diperoleh berdasarkan fungsi temperatur udara yang terjadi b) Menentukan tekanan uap aktual, ea = es . (RH/100) c) Menentukan defisit tekanan uap (es ea).

4. Menentukan faktor koefisien yang tergantung dari temperatur dan radiasi (W). 5. Menentukan Radiasi netto (Rn), Rn = Rns Rnl (a) Rns = (1- ). Rs = 0,25 dimana :Rs = (0,25 + 0,5. n/N). Ra Ra ditentukan berdasarkan tabel N ditentukan berdasarkan tabel n = N x Lama penyinaran (b) Rnl = f(T) . f (es) . f (n/N) dimana :f (T) , ditentukan berdasarkan tabel f (ed) = 0,34 0,044 . ea^0,5 f (n/N) = 0,1 + 0,9 . n/N 6. Menentukan faktor koreksi akibat iklim siang dan malam (C) Faktor koreksi C ditentukan berdasarkan tabel

7. Menentukan evapotranspirasiETo = C (W . Rn + (1 W) . f (u). (ed ea)) dimana :f (u) = fungsi kecepatan anginf (T)= efek temperaturf(n/N)= rasio penyinaran aktual terhadap penyinaran maksimumes = tekanan uap jenuhea = tekanan uap aktualRH = kelembaban relatifW = koefisien yang tergantung dari temperatur dan radiasiRn = radiasi nettoRn1 =radiasi bersih gelombang panjangRns= radiasi bersih gelombang pendekRs= intensitas radiasi matahari= albedo

Contoh Perhitungan Penman Modifikasi

Evapotranspirasi-Penman

Tabel 5.30.Perhitungan Evapotranspirasi Metode Penman Modifikasi Stasiun Hek Bunta

NOURAIANKETJANFEBMARAPRMEIJUNIJULIAGUSTSEPTOKTNOVDES

1Temperatur udaraData27.1827.5027.4127.5626.8526.6326.8026.8427.5027.8826.4227.31

2Kecepatan angin, Km/hariData21.0022.2721.4421.6021.5523.1124.1228.5022.2126.1920.5318.15

3f(u)=0.27(1+u/100)Hitung0.330.330.330.330.330.330.340.350.330.340.330.32

4Penyinaran matahari (%)Data32.6037.3350.9844.8245.6338.3042.5151.2446.7645.1737.4530.35

5Kelembaban relatif,RH (%)Data87.1086.0986.6186.9187.5789.0087.8886.5186.3885.0886.1486.75

6Tekanan Uap jenuh, eaTabel36.0836.7536.5636.9235.3934.9235.2835.3936.7537.5534.4836.35

7Tekanan Uap Aktual, ed=eaxRH/100Hitung31.4331.6431.6632.0930.9931.0831.0030.6231.7431.9529.7031.53

8ea-edHitung4.655.114.904.834.403.844.284.775.015.604.784.82

9Faktor WTabel0.770.770.770.770.770.760.770.770.770.770.760.77

10(1-W)Hitung0.230.230.230.230.230.240.230.230.230.230.240.23

11Radiasi extrateresterial,Ra(mm/hari)Tabel15.0015.5015.7015.3014.4013.9014.1014.8015.3015.4015.0014.80

12Maksimum Penyinaran Matahari,NTabel12.0012.0012.0012.0012.0012.0012.0012.0012.0012.0012.0012.00

13n=N x Penyinaran matahari/100Hitung3.914.486.125.385.484.605.106.155.615.424.493.64

14Rasio Keawanan, n/NHitung0.330.370.510.450.460.380.430.510.470.450.370.30

15Radiasi diterima matahari,Rs

Rs = (0.25+0.5 xn/N) x RaHitung6.206.777.937.256.896.146.527.497.407.336.565.95

16Rns = ( 1 - a )Rs, a =0,25Hitung4.655.085.955.445.164.604.895.625.555.504.924.46

17Efek temperatur, f(T)Tabel16.0316.0316.1316.1816.1816.0916.0116.0816.1716.2016.1516.11

18f(ed) = 0.34-0.044(ed)^0.5Hitung0.090.090.090.090.100.090.100.100.090.090.100.09

19f(n/N) = 0.1 + 0.9 x n/NHitung0.390.440.560.500.510.440.480.560.520.510.440.37

20Rnl =f(T) x f(ed) x f(n/N)Hitung0.590.650.830.740.790.680.730.870.780.750.710.56

21Energi sisa, Rn= Rns - RnlHitung4.064.435.114.704.383.924.164.754.784.754.213.90

22U (m/dt)konversi0.240.260.250.250.250.270.280.330.260.300.240.21

23U siang/U malamTabel1.001.001.001.001.001.001.001.001.001.001.001.00

24Faktor koreksi CTabel1.061.061.061.061.061.061.061.061.061.061.061.06

25ETo = C . (W. Rn + (1-W). F(u).(ed-ea)Hitung3.684.034.564.223.933.493.744.284.304.343.793.56

Evapo-Panci

Tabel 5.31. Laju Evapotanspirasi Metode Panci Evaporasi Stasiun Hek Bunta

NOURAIANSATKETJANFEBMARAPRMEIJUNJULAGSSEPOKTNOVDES

1Kelembaban udara relatif, (RH)%Data87.1086.0986.6186.9187.5789.0087.8886.5186.3885.0886.1486.75

2Km/hariData21.0022.2721.4421.6021.5523.1124.1228.5022.2126.1920.5318.15

3Kecepatan Angin, (U2)m/detikKonversi0.240.260.250.250.250.270.280.330.260.300.240.21

4Penguapan Panci Evaporasi, (Epan)mm/hrData4.004.275.164.494.364.014.795.585.134.744.494.04

5Koefisien panci (Kp)

Hitung0.930.930.930.930.930.930.930.930.930.920.930.93

6Evapotranspirasi, (ETo)

ETo= Epan x Kpmm/hrHitung3.723.964.794.174.063.744.455.174.764.384.173.76

rata-rata

Tabel 5.32. Rata-Rata Evapotranspirasi Stasiun Hek Bunta

No.BulanEvapotranspirasi (mm/hari)Rata-Rata

Penman ModifikasiPanci EvaporasiRata-Ratamm/bl

1Januari3.683.723.70114.70

2Pebruari4.033.964.00115.86

3Maret4.564.794.68144.93

4April4.224.174.20125.85

5Mei3.934.064.00123.85

6Juni3.473.743.61108.15

7Juli3.744.454.10126.95

8Agustus4.285.174.73146.48

9September4.304.764.53135.90

10Oktober4.344.384.36135.16

11Nopember3.794.173.98119.40

12Desember3.563.763.66113.46

PRESIPITASIBentuk-bentuk presipitasi :Hujan : bentuk yang paling pentingEmbun : Hasil kondensasi di permukaan tanah dan tumbuh-tumbuhanKondensasi di atas lapisan esKabut : Partikel-partikel air diendapkan di atas permukaan tanah dan tumbuh-tumbuhanSalju dan es

Unsur-unsur hujan :Intensitas (i) : tinggi air persatuan waktu, mm/jam, cm/jam dllLama (durasi : lamanya curah hujan, menit, jamTinggi hujan (d) : banyaknya hujan , mm, cmFrekuensi : kala ulang/return periodLuas : luas geografi curah hujan

Pengukuran Curah HujanPenakar HujanPenakar hujan biasa, terdiri atas corong dan penampung yang diletakkan pada ketinggian tertentu

Penakar hujan rata tanah

Penakar hujan Inggris, kombinasi antara penakar hujan biasa dan penakar hujan rata tanah

Interim Refference Precipitation GaugePenakar ini dilengkapi perisai Nipher untuk mengurangi pengaruh turbulensi angin.

2. Pencatat hujanPencatat hujan dapat bekerja secara otomatis sehingga pencatatan tinggi hujan dapat dilakukan setiap saat.

Hujan yang tertangkap oleh corong 1 tercurah kedalam penampung 2. Dengan terisinya penampung 2, pelampung 3 akan terangkat. Penampung 3 dihubungkan dengan alat penulis yang dapat membuat grafik pada drum pencatat 4 yang diputar dengan pertolongan pegas jam. Jika pencatatannya menjadi d = 10 mm, air dalam penampung akan tersedot keluar oleh sifon 5 sehingga penampung menjadi kosong yang sekaligus membawa alat penulis ke posisi nol.

Syarat Pemasangan alat Pengukur hujanTinggi corong di atas permukaan tanah harus sedemikian sehingga pengaruh angin sekecil mungkinPengukur hujan harus diletakkan minimal 4 kali tinggi rintangan (bangunan, pohon dll) yang terdekatHarus dilindungi terhadap gangguan dari luar (orang, binatang)Diusahakan dengan dengan tenaga pengamatSyarat-syarat teknis alat terpenuhiSyarat-syarat yang menyangkut kerapatan jaringan

Lengkung Massa GandaNonhomogenitas data disebabkan oleh : Perubahan mendadak pada sistim lingkungan hidrolis (pembangunan gedung, pohon dsb) Pemindahan alat pengukurPerubahan cara pengukuran (alat baru, metode baru)

Menentukan hujan daerahPengukuran yang diperoleh dari masing-masing pengukur hujan merupakan data hujan lokal (point rainfall)Cara menentukan curah hujan daerah :Cara Tinggi Rata-rata (aritmetic mean) Mengambil harga rata-rata hitung dari penakaran curah hujanRi = 1/x (R1 + R2 + .....+ Rx)Apabila pos penakar hujan terbagi merata pada areal tersebut dan hasil penakaran tidak menyimpang jauh dari harga rata-rata seluruh pos penakar

R1

R3R2

Cara ThiessenMasing-masing penakar mempunyai daerah pengaruh yang dibentuk dengan menggambarkan garis sumbu tegak lurus terhadap garis penghubung antara dua pos penakar.Ri =(A1.R1 + A2. R2 + ........+Ax.Rx)/(A1 + A2 + ....... + Ax)Dimana : Ri = curah hujan daerah (mm)R1, R2, ..Rx = curah hujan ditiap titik pengamatan dan x adalah jumlah titik pengamatan A1, A2, Ax = luas daerah yang mewakili tiap titik pengamatan, km2

A1

A3 R1

R3 A2

R2

c. Cara Isohiet

Peta Isohiet digambar pada peta topografi dengan interval 10 sampai 20 mm berdasarkan data curah hujan pada tiap titik pengamatan di dalam dan sekitar daerah yang dimaksud. Luas bagian daerah antara dua garis Isohiet yang berdekatan diukur dengan planimeter. Demikian pula harga rata-rata dari garis-garis Isohiet yang berdekatan yang termasuk bagian-bagian daerah tersebut dapat dihitung. Sehingga curah hujan daerah dapat dihitung dengan rumus :

Ri =

Dimana :

Ri = curah hujan daerah (mm)

A1, A2, Ax = luas bagian-bagian antara garis Isohiet (km2)

R1, R2, Rx = Curah hujan pada Isohyet 0,1,2,,x (mm)

R2

R1 garis Isohiet

A2 A3

A1

R3

_1103974831.unknown

CARA PENENTUAN HUJAN DAERAH HARIAN MAXTENTUKAN DI SALAH SATU POS HUJAN SAAT TERJADINYA HUJAN MAKSIMUMPADA SAAT YANG SAMA TENTUKAN BESARNYA PADA POS HUJAN YANG LAINDENGAN METODE THIESSEN/ARITMATIK MEAN TENTUKAN BESARNYA HUJAN DAERAHTENTUKAN BESARNYA HUJAN MAX PADA POS YANG LAINBERULANG PADA LANGKAH KE-2 DAN KE-3HUJAN DAERAH MAKSIMUM DIPEROLEH DARI HUJAN DAERAH YANG TERBESAR SETIAP TAHUN

Uji Abnormalitas dataMaksud uji abnormalitas adalah untuk memperkirakan adanya curah hujan yang abnormal dengan cara memeriksa data maksimum dan minimum.Prosedur perhitungannya adalah :

1. Data diranking dari kecil ke besar, singkirkan nilai terbesar dan terkecil kemudian dilogaritmakan.

2. Menghitung harga xo dengan persamaan :

Log xo =

3. Menghitung harga b, dengan persamaan :

b =

Dimana :

bi =

m =

: angka bulat (dibulatkan ke desimal terdekat)

_1103977698.unknown

_1103977915.unknown

_1103978170.unknown

_1103977538.unknown

Lanjutan Uji Abnormalitas

4. Menghitung harga Xo, dengan persamaan :

Xo =

5. Menghitung harga Xo2, dengan persamaan :

X2 =

6. Menghitung derajat standar deviasi (Sx), dengan persamaan :

Sx =

7. Menentukan harga batas untuk penyingkiran ((0)

(0 = 1 (1 - (0)1/n

8. Menentukan laju abnormalitas (()

Nilai laju abnormalitas (() dapat ditentukan dari tabel.. Cara perhitungan harga abnormal, berdasarkan nilai (( yang diperoleh untuk harga abnormal (x() yang diperiksa.

_1103978792.unknown

_1103979019.unknown

_1103978544.unknown

Lanjutan Uji Abnormalitas Data

9. Membandingkan laju abnormalitas (() dengan harga batas untuk penyingkiran ((0 ):

Jika laju abnormalitas (() dari harga yang diperiksa (x() tidak lebih kecil dari harga batas untuk penyingkiran ((0 ), maka harga yang diperiksa (x() tidak dapat disingkirkan.

Tabel. Cara perhitungan harga abnormal

( (%)

F

T

((

0,182((

Log10(x(-11,83)

x(-11,87

x(

0,05

0,25

0,50

1,25

2,50

5,00

12,50

25,00

99,95

99,75

99,50

98,75

97,50

95,00

87,50

75,00

2000

400

200

80

40

20

8

4

3,720

3,099

2,816

2,419

2,096

1,743

1,206

0,702

0,6770

0,5640

0,5125

0,4403

0,3815

0,3172

0,2195

0,1278

2,7519

2,6389

2,5874

2,5152

2,4564

2,3921

2,2944

2,2027

564,8

435,4

386,7

327,5

286,0

246,7

197,0

159,5

576,7

447,3

398,6

339,4

297,9

258,6

208,9

171,4

Keterangan

x0 = data setelah diranking (mm)

n = jumlah data yang digolongkan

x( = data yang diuji (mm)

(0 = laju resiko, biasanya diambil 5%

Sx = derajat standar deviasi

( = laju abnormalitas

(0 = harga batas untuk penyingkiran

xs = data terbesar

xt = data terkecil

b = harga limit bawah

Contoh Perhitungan Uji Abnormalitas data

Uji Abnormalitas data hujan

Untuk uji abnormalitas, terlebih dahulu data curah hujan yang ada diranking dari data terbesar kedata terkecil.

Tabel. Data curah hujan harian maksimum berdasarkan ranking

Rangking

Tahun

Curah hujan (xi), mm

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

2000

1995

1992

1991

1998

1989

1988

1996

1990

1999

1997

1994

1993

250,7

242,7

236,8

164,5

150,0

148,4

131,8

129,3

123,4

116,0

90,7

76,0

55,7

Lanjutan

Dalam perhitungan uji abnormalitas, data terbesar dan data terkecil untuk sementara disingkirkan.

Tabel Uji abnormalitas data curah hujan

EMBED Excel.Sheet.8

_1104639609.xls

pearson

Tabel Log pearson curah hujan

NOTahunXilog XiLog Xi - Log X(Log Xi - Log X)2(Log Xi - Log X)3

11988131.80002.1199-0.01040.0001077759-0.0000011189

21989148.40002.17140.04110.00169225080.0000696141

31990123.40002.0913-0.03900.0015195781-0.0000592358

41991164.50002.21620.08590.00737348120.0006331533

51992236.80002.37440.24410.05957737630.0145419303

6199355.70001.7459-0.38440.1477954439-0.0568187362

7199476.00001.8808-0.24950.0622419335-0.0155283250

81995242.70002.38510.25480.06490920560.0165371034

91996129.30002.1116-0.01870.0003496302-0.0000065375

10199790.70001.9576-0.17270.0298217112-0.0051499005

111998150.00002.17610.04580.00209712100.0000960363

121999116.00002.0645-0.06580.0043347655-0.0002853963

132000250.70002.39920.26890.07228430620.0194341712

27.69390.4541045791-0.0265372417

log X =2.1302969253

Slog X =0.1945303274

q log X =-0.0273098865

Kala ulangKtrS log Xlog XtAnti log

2 tahun0.00460.19453032742.1311917648135.2669709201

5 tahun0.84040.19453032742.2937802124196.6890634614

10 tahun1.27870.19453032742.3790428549239.3551933484

25 tahun1.74150.19453032742.4690714904294.4906363077

50 tahun2.03930.19453032742.5270026219336.5136009531

100 tahun2.30580.19453032742.5788449541379.1795913113

Tabel Log pearson untuk debit rancangan

NOTahunXilog XiLog Xi - Log X(Log Xi - Log X)2(Log Xi - Log X)3

1198874.30001.8710-0.73960.5470702075-0.4046360725

21989216.83002.3361-0.27450.0753565029-0.0206862183

31990609.90002.78530.17460.03049489440.0053252586

419911207.00003.08170.47110.22191307910.1045380390

51992492.30002.69220.08160.00665840930.0005433201

619941087.00003.03620.42560.18113432570.0770905489

71995730.00002.86330.25270.06385329790.0161352240

81996646.00002.81020.19960.03984086210.0079523061

91997313.00002.4955-0.11510.0132448844-0.0015243064

101998334.00002.5237-0.08690.0075488803-0.0006558791

111999302.00002.4800-0.13060.0170625814-0.0022287795

122000225.00002.3522-0.25840.0667954933-0.0172631778

31.32761.2709734183-0.2354097369

log X =2.6106307592

Slog X =0.3399162221

q log X =-0.0544899065

Kala ulangKtrS log Xlog XtAnti log

2 tahun0.00930.33991622212.6137919801410.9528342892

5 tahun0.83870.33991622212.8957184947786.5357997744

10 tahun1.27550.33991622213.04419390051107.117971147

25 tahun1.73190.33991622213.19933166421582.4560759882

50 tahun2.02460.33991622213.29882514241989.8720064772

100 tahun2.28570.33991622213.3875772682441.0533321408

Tabel Log pearson untuk debit rancangan Hujan maksimum

NOTahunXilog XiLog Xi - Log X(Log Xi - Log X)2(Log Xi - Log X)3

1198874.30001.8710-1.08451.1762157134-1.2756468631

21989534.33002.7278-0.22770.0518536870-0.0118078129

31990703.00002.8470-0.10860.0117870714-0.0012797021

419911756.50003.24460.28910.08359300490.0241687899

519921986.00003.29800.34250.11727586480.0401617812

619943107.20003.49240.53680.28820320170.1547206217

719953215.70003.50730.55180.30443018200.1679699376

819962327.00003.36680.41130.16914529820.0695648567

91997720.63002.8577-0.09780.0095670440-0.0009357647

101998423.74602.6271-0.32840.1078583783-0.0354226322

111999882.60002.9458-0.00980.0000952514-0.0000009296

122000479.60002.6809-0.27460.0754295632-0.0207163094

35.46632.3954542603-0.8892240269

log X =2.955523605

Slog X =0.4666568001

q log X =-0.0795473484

Kala ulangKtrS log Xlog XtAnti log

2 tahun0.01350.46665680012.9618234718915.8481485132

5 tahun0.83720.46665680013.34620867812219.2625170314

10 tahun1.27250.46665680013.54934438323542.7816222241

25 tahun1.72320.46665680013.7596666035749.9835599903

50 tahun2.01110.46665680013.89401709577834.6048261424

100 tahun2.26720.46665680014.013527902310316.3935738224

Rasional

NoParameterKala ulang

25102550100

1Tc8.74927186498.74927186498.74927186498.74927186498.74927186498.7492718649NoParameterKala ulang

2I11.044347849316.05937074119.54299705924.044724322727.475837151330.95945207725102550100NoParameterKala ulang

3Q419.9841225034610.6907189683743.1627999155914.3502706821044.82541780441177.2970655352Tc5.96832030725.96832030725.96832030725.96832030725.96832030725.968320307225102550100NoParameterKala ulang

I14.252354052420.724069975225.219570872831.02889630235.456630333339.9521165295Tc7.78405248177.78405248177.78405248177.78405248177.78405248177.784052481725102550100

Q541.9751796994788.0755352863959.02623563311179.93782552361348.31155090741519.2616922033I11.939446138317.360915700421.126875389225.993448855429.702639055633.4685864288Tc5.43702201035.43702201035.43702201035.43702201035.43702201035.4370220103

A=455.96Km 2Q454.0220824261660.1846524377803.3930425465988.45454320371129.50415633721272.7120781193I15.166334262522.053070767726.836860802733.018728792637.730406182742.5141805735

L=55.5KmQ576.7311636442838.61353347821020.52702330161255.60531299511434.77657065591616.6894655774

S=32.955Baramby-wiliamA=455.96Km 2

L=55.5KmBayernA=455.96Km 2

S=0.033L=55.5KmMcDermotA=455.96Km 2

XtS=0.033L=55500mKirpick

135.2669709201S=0.033

196.6890634614Xt

239.3551933484135.2669709201Xt

294.4906363077196.6890634614135.2669709201Xt

336.5136009531239.3551933484196.6890634614135.2669709201

379.1795913113294.4906363077239.3551933484196.6890634614

336.5136009531294.4906363077239.3551933484

379.1795913113336.5136009531294.4906363077

379.1795913113336.5136009531

379.1795913113

Nakaysu

Tabel Hasil perhitungan Ordinat Hidrograf Satuan Sintetik Nakayasu untuk kala ulang 2 tahunTabel Hasil perhitungan Ordinat Hidrograf Satuan Sintetik Nakayasu untuk kala ulang 5 tahunTabel Hasil perhitungan Ordinat Hidrograf Satuan Sintetik Nakayasu untuk kala ulang 10 tahunTabel Hasil perhitungan Ordinat Hidrograf Satuan Sintetik Nakayasu untuk kala ulang 25 tahunTabel Hasil perhitungan Ordinat Hidrograf Satuan Sintetik Nakayasu untuk kala ulang 50 tahunTabel Hasil perhitungan Ordinat Hidrograf Satuan Sintetik Nakayasu untuk kala ulang 100 tahun

NoParameterKala ulangtU (t,1)Akibat hujan (mm/jam)totalketerangantU (t,1)Akibat hujan (mm/jam)totalketerangantU (t,1)Akibat hujan (mm/jam)totalketerangantU (t,1)Akibat hujan (mm/jam)totalketerangantU (t,1)Akibat hujan (mm/jam)totalketerangantU (t,1)Akibat hujan (mm/jam)totalketerangan

25102550100Jamm 3 /detik46.894439667429.5416458322.544495153418.610070714916.0376727728Jamm 3 /detik68.188289846242.955930866832.781510576927.060540758523.3200670964Jamm 3 /detik82.979810941352.274005260639.892532224732.930559795128.3786961539Jamm 3 /detik102.094201437364.315316731549.081772717940.516110690434.9157257506Jamm 3 /detik116.662749596673.492926977756.085600158846.297642858839.8980991367Jamm 3 /detik131.454222319782.810970899163.196598551952.16764269944.9567116511

1Xt135.2669709201196.6890634614239.3551933484294.4906363077336.5136009531379.1795913113000----0000----0000----0000----0000----0000----0

2tg3.6193.6193.6193.6193.6193.61910.15343884937.19542885940---7.348867708610.153438849310.46273272720---10.616171576510.153438849312.73232670290---12.885765552110.153438849315.66521678490---15.818655634210.153438849317.90059804990---18.054036899210.153438849320.17018460350---20.3236234527

3Tp6.51426.51426.51426.51426.51426.5142tp20.809855101737.97770120544.53283614150--43.320392448620.809855101755.22263440746.59110860120--62.623598110220.809855101767.20162322798.02086321350--76.032341543120.809855101782.68150988689.86846818930--93.359833177720.809855101794.479922937711.27667014440--106.566448183820.8098551017106.45887258412.70642008110--119.9751477668

4T 0,37.2387.2387.2387.2387.2387.238t0,332.1430205919100.495749850623.92445258773.45920139350-130.0224244237Qa32.1430205919146.128909263834.78807976025.029957260-188.0899668759Qa32.1430205919177.827443555342.3343698466.12106423870-228.4258982319Qa32.1430205919218.789975989152.08608737177.53105072560-280.5501346783Qa32.1430205919250.010674687959.51862185098.60570994860-320.2780270791Qa32.1430205919281.709105317367.06488725849.69681335910-360.6138265267Qa

5Qp13.778500124613.778500124613.778500124613.778500124613.778500124613.778500124644.274440853200.447508694163.308355330918.25777441492.85550783520289.143587128144.274440853291.466811816992.055444389826.54827358174.15213823440418.497108875944.274440853354.6922938639112.024269692232.30717074155.05282720050508.351002351144.274440853436.395625481137.829048127339.74912403556.21674540090624.464983897844.274440853498.6680229023157.496855868845.42120941997.10385704380712.964386087844.274440853561.8932981864177.465615868251.18008774668.00454306450802.8179857187

657.3023617438342.4401622227126.274017801348.313317346615.07146071122.4608020551541.862121880757.3023617438497.9355591465183.612585776970.251452198421.91511698773.57820426784.595280113357.3023617438605.9485969231223.442143637385.490518018826.66898185154.3543944814953.206996655957.3023617438745.528790837274.9120173128105.183249619332.81217894315.35742878031171.096027236357.3023617438851.9135995775314.141169482120.192596046937.49438226536.12191841931337.166027534857.3023617438959.9262841248353.9705970899135.431612031942.24823158286.89810610241505.7771926756

7611.3109304956530.4197477079215.723784356996.365111094439.881764757812.9881911143906.6895295269611.3109304956771.273007065313.6797462299140.122628033957.991296072118.88587530971313.2634832062611.3109304956938.5788740952381.7236962088170.518269472270.570867742122.98263185951595.6852698734611.31093049561154.7804164618469.6537084391209.797134444786.826859511328.27667862831960.6457279808611.31093049561319.5642521132536.6719383997239.734580585699.216802000732.31167913352238.8101827283611.31093049561486.869572012604.7156658581270.1301226226111.796332532436.40842228582521.2310458066

6.514213.7785001246646.1350428008334.1435027086164.628058940579.547646541334.36906299761272.60181411346.514213.7785001246939.5323601439485.8715484084239.3824487399115.66868092349.97538399111844.2089223316.514213.77850012461143.3373353952591.2676402296291.3097011802140.759730101160.81613022772241.26903725846.514213.77850012461406.704967227727.4660773533358.4128594121173.183718740774.82511926312754.37124212096.514213.77850012461607.437709855831.2733889631409.5573409766197.896536034585.50244802573145.44592397956.514213.77850012461811.2420186138936.669136113461.4844236019222.987503158796.34315881053542.5047404226

13.7522712.7088828069595.9759380261407.0395707497254.9992177381135.897468437168.55208368761475.1731614455712.7088828069866.5969844563591.8682988014370.7893876764197.605857600499.68024749232139.2496588335712.70888280691054.5806925883720.2573879975451.2216592878240.4708600486121.30305819582600.5425409248712.70888280691297.5032413272886.1685996005555.1605198138295.8632967118149.24520456153196.6497448217712.70888280691482.65321254951012.6223035206634.3803252011338.0821360388170.54206490793650.9889250248712.70888280691670.63630592851141.0109728528714.8123337791380.9469983079192.16480489954112.2802985747

24.6092810.7613460655504.6472938058375.441314775310.62932928210.4972163741117.11288811541529.0893884157810.7613460655733.7977846465545.9218912459451.6800475692306.0798956924170.29156582712218.5325310465810.7613460655892.9744619845664.3442067023549.65926023372.4752730234207.23150513222697.4460531379810.76134606551098.6710329426817.3758230275676.2732115108458.274911971254.96725997723316.3235854946810.76134606551255.4482213556934.0129960927772.7754487781523.669420486291.35035278493788.0177855628810.76134606551414.62437814671052.4349242789870.7543410228590.0645806878328.29017128724266.929741489

diketahui39.085299.1122540746427.3140489346317.9078741192286.5153468439256.4188616639181.40100204461478.669387680899.1122540746621.3490219908462.2636376212416.6163761539372.8536642127263.77165808042145.966612133599.1122540746756.1331203584562.5386608364506.9895169133453.7337222402320.98945975232609.496734175299.1122540746930.3083030394692.1193806571623.7744974255558.2512361963394.92934716863208.495018561499.11225407461063.0606153645790.8828205695712.7853195715637.9120778993451.28462624163665.03771372199.11225407461197.8442729549891.1575158608803.1581647884718.7918714291508.50224079724128.566319905

A=455.96107.715872514361.8315180883269.1909825843242.6091142161236.5132077426220.97507629881338.8357714441Qd1107.715872514526.1321514004391.4253560689352.7731798663343.9092411896321.31554739411943.2713484333Qd1107.715872514640.2616424576476.3340174311429.2973446975418.5106252391.01586849262363.1353707929Qd1107.715872514787.7458427078586.0575069456528.1859417236514.9145025537481.08633160582905.7059980504Qd1107.715872514900.1549030186669.686223306603.5565525978588.3913173263549.73596392663319.2408326892Qd1107.7158725141014.2840208442754.594606996680.0804671762662.9924573718619.43605708793739.1034819901Qd1

L=55.5116.5334754897306.3836721692227.9395730774205.4311678208200.2694112651203.82090376451150.3782035867116.5334754897445.5065203938331.4424862879298.7134533257291.2078438199296.37199977661669.7757790936116.5334754897542.1465609234403.3395603863363.5108893107354.3771500837360.66152363112030.5691598249116.5334754897667.0299627296496.2487845973447.2455834373436.007888365443.73986668092496.8055612998116.5334754897762.2132150484567.0620552396511.0662385734498.2249568179507.06026614452852.1602073135116.5334754897858.8529395412638.9588942168575.8634626548561.3940565025571.34957975653212.9524081616

S=18.541125.5322715476259.432774314193.009618955173.9504504955169.5796926999172.5869467927974.0917548047125.5322715476377.2361357981280.6515214548252.9379564274246.5825227869250.9553122941413.8957203088125.5322715476459.0668470984341.5309321177307.8056929063300.0716276712305.3929701981719.4003415392125.5322715476564.81284579420.2025454768378.7087010522369.1930947249375.74020792852114.18966652125.5322715476645.4100102618480.1642370738432.7493406962421.8758847839429.35725216322415.0889965266125.5322715476727.2404539555541.043448646487.6168977441475.3648147457483.79473204272720.5926186816

=2134.6844942673219.6767337885163.4324066954147.2939065117143.5929331122146.1393490711824.8198234461134.6844942673319.4276528794237.6438741365214.1771958691208.7956826518212.49837641911197.2272762231134.6844942673388.7184486532289.193991984260.6368815118254.088001193258.59388965971455.9157072691134.6844942673478.2597013543355.8097968309320.674559043312.6171448495318.16096423821790.2066605831134.6844942673546.5059816888406.5828288709366.4338939621357.2267099965363.56161642652044.995525212134.6844942673615.7965508646458.1327781368412.8934276702402.5188804207409.65697892352303.6831102831

144.0215087948188.586401551138.3876705361124.7222690927121.5884408768123.7446385361701.0509293875144.0215087948274.2198073211201.2268118906181.3562182531176.799379783179.93466473361017.5583907763144.0215087948333.7040394938244.8772779703220.69632099215.1510052827218.96640163651237.4165541681144.0215087948410.5727289815301.2847325263271.5336947149264.7110161328269.4052886251521.5289697753144.0215087948469.1602735319344.2771951116310.2807699907302.484514848307.8486464891738.072908766144.0215087948528.6443111764387.9275184435349.6207440758340.8360149284346.88025574841957.9303531674

Tabel Hasil perhitungan intensitas hujan (I) Hidrograf Satuan Sintetik Nakayasu153.5993866761168.7912213236118.801988519105.6095583043102.9559647153104.7817419728604.539861511153.5993866761245.436021941172.747653771153.5647983699149.7062597016152.3610867922877.4152072518153.5993866761298.6764258902210.2203718966186.8763385136182.1807990019185.41151575051066.9648377289153.5993866761367.4765083642258.6446118783229.9232829245224.1461263931228.1210383961311.9109546322153.5993866761419.9143464993295.5524521986262.7326724204256.1311323101260.67325279441498.6032428989153.5993866761473.1545763393333.0250477792296.0441036271288.6055654107293.72357366961688.152253502

Waktuintensitas hujan (i)163.2215730725151.0738640834106.331806391590.662885534387.178769577288.7247607713527.1936594302163.2215730725219.67355843154.615005223131.8311330929126.7649480521129.0129436864765.1191615569163.2215730725267.3255244914188.1543580432160.4281691899154.2630185779156.998653291930.3912966659163.2215730725328.9039302111231.4956941149197.3827806512189.7974882609193.1632761351143.9647424457163.2215730725375.8375726668264.5294621536225.5487343022216.8810425599220.72711865841306.7455034135163.2215730725423.4893828945298.068705292254.1456768799244.3790231602248.71273674281472.017098042

25102550100172.8834170917135.216228842595.170570723881.146355475274.840563052275.1283861646464.38552135172.8834170917196.6152803963138.3856701856117.9933323941108.824202653109.2427206254673.9446233463172.8834170917239.265405134168.4045277404143.588648967132.4305358346132.9398394453819.5123742131172.8834170917294.3801653877207.1964925331176.6642787621162.9358954737163.56251711611007.6227663644172.8834170917336.3873661514236.7628345721201.8737619348186.1863779365186.90241668051150.9961743671172.8834170917379.0373514126266.7815939579227.4689948048209.7926339196210.5994580051296.5634491916

146.894439667468.188289846282.9798109413102.0942014373116.6627495966131.4542223197135.2669709201182.5807560274121.023107824385.18088650372.628738519766.98484057364.4956421045412.8939715519182.5807560274175.9773400204123.8598652512105.608031751297.40134985593.7818549243599.2091978295182.5807560274214.1506472412150.72776022128.51670761118.5298181641114.1251761686728.6308654313182.5807560274263.4802257245185.4478835218158.1205173398145.8331489877140.4138981839895.8764297851182.5807560274301.0780941973211.9107617664180.683859228166.6431188424160.45055657521023.3471466367182.5807560274339.251276582238.7785688706203.5924601698187.7715180561180.79381129181152.7683909977

229.5416458342.955930866852.274005260664.315316731573.492926977782.8109708991196.6890634614192.3098641165108.319783452276.239780535765.005182648959.953702692757.7257856947369.5540991408Qd2192.3098641165157.505683883110.858777498194.522767889287.177509435383.9379387934536.3125416156Qd2192.3098641165191.6720876892134.9064541539115.026809248106.0882046989102.1459008223652.1493207288Qd2192.3098641165235.8237324053165.9821413106141.5232223458130.5256112034125.6751980543801.839769436Qd2192.3098641165269.4750990282189.6673142707161.7181780962149.1512395551143.6086864356915.9303815024Qd2192.3098641165303.6413911019213.7149122847182.2221524018168.061872976161.816588921031.7667818009Qd2

322.544495153432.781510576939.892532224749.081772717956.085600158863.1965985519239.3551933484202.067406674796.949877573568.237187645758.181841752353.660595976951.6665347508330.7634443739202.0674066747140.972925562899.222363301184.601081009478.026825733575.1273002072480.0179024888202.0674066747171.5530150033120.7458489785102.952892988294.952538952391.4240433626583.6957459596202.0674066747211.0702334972148.5596422611126.6680807785116.8248460538112.4835618857717.6737711509202.0674066747241.189347202169.7586748441144.7432506617133.4954147244128.5346418235819.7887359303202.0674066747271.769336638191.2820901343163.0950026255150.4210725919144.8313316845923.466240349

418.610070714927.060540758532.930559795140.516110690446.297642858852.167642699294.4906363077211.850399046486.773426441261.074595769852.074720379948.028052168246.2432997842296.0444935896211.8503990464126.17554650688.807378190975.720834967169.836653667867.2414800454429.6322924235211.8503990464153.5457630348108.071627387892.146328703284.985740677681.8276175302522.42747638211.8503990464188.9150129809132.9659150947113.3722255766104.562196872100.6766003983642.3423499689211.8503990464215.872640602151.9397677751129.5501152607119.4829208633115.042860977733.7387045245211.8503990464243.2427676235171.2039539731145.9755552814134.6319583319129.6289507615826.5335850179

516.037672772823.320067096428.378696153934.915725750639.898099136744.9567116511336.5136009531221.656169863877.665157757854.663833272446.608639757242.986734550241.3893206743264.9698558758221.6561698638112.931390708879.485613512567.772713772762.506172071760.183403719384.5354636484221.6561698638137.428662186496.727769484982.474087391176.065118407773.2384911495467.5902984835221.6561698638169.0853396913119.0090007479101.47198452293.586710224890.1089696828574.9181747326221.6561698638193.2133301123135.9912419955115.9517441216106.9412639192102.9672598297656.721009842221.6561698638217.7105214778153.2333415818130.653069663120.5001659141116.0223045669739.7755730674

379.1795913113231.482328162269.512948571148.925983551241.71631233338.474584412137.0448448505237.1570018802231.4823281622101.077422373771.142318173960.658875910555.945142584453.866186181344.1722733857231.4823281622123.003310655186.574632173873.817103586568.080859121165.5509319196418.5091656184231.4823281622151.3371099914106.517089352890.820865432183.763277673280.6505820137514.5712526254231.4823281622172.9324792107121.7167708644103.780741049895.71605586892.1591875133587.7875626684231.4823281622194.8582957891137.1490343967116.9389256951107.851732718103.8438950399662.1242118011

241.326733947162.216445038643.790413572537.33751346834.436057103933.1563917368212.263554867241.326733947190.467718936163.674786058954.29174990850.072798814148.212062369308.0458500332241.3267339471110.092132102777.487230150666.068809662160.934676441758.6703058471374.5798881513241.3267339471135.451842852695.336405254281.287752838374.970972584672.1850044679460.5587119448241.3267339471154.780430256108.94063538492.887280777485.669114195782.485596462526.0897910222241.3267339471174.4047792458122.7530343057104.664302017696.530956302392.9438057391592.6236115576

251.200407239956.292424886339.193904376933.418340069230.821438281529.676094405190.6026092588251.200407239981.853716805756.991091711848.592956328744.816852102843.1514299168276.6064541058251.200407239999.609565816969.35369733259.133823979654.538600731352.5119123007336.3480074003251.2004072399122.55461855485.329314028572.755293952267.101561524664.6080256327413.5492209319251.2004072399140.042809238897.505561095683.137264611376.676760868673.827404595472.3902076492251.2004072399157.7986001839109.868126287193.678097790986.398477704683.1878563679532.1315655742

261.104608084651.799977177535.462005531929.91054704127.586231921826.5611103321172.4244800889261.104608084675.321336236451.564610407843.492342920840.112601651638.6219923474250.2174916485261.104608084691.660170020962.750094371852.926776739848.813896182446.9999413446304.255486744261.1046080846112.774080294377.20457183965.118454050560.058171900557.8263727616374.0862589304261.1046080846128.866616371388.221441623274.410669676268.628299854666.0780294139427.3096650238261.1046080846145.205396723899.406889007883.845072642377.329565930174.4559510131481.3474834017

271.016454233247.666051711332.63194081527.062575201324.69061257623.7730940078156.8407285445271.016454233269.310275865847.449468515239.351162630435.902138052134.5679922022227.5974914988271.016454233284.345180097657.742288823247.887284499343.690091578342.0665405164276.7478397479271.0164542332103.774083231571.043218822758.918115316253.754099458851.756563585340.2625346473271.0164542332118.582345678981.180881297567.325560483161.424654453159.1420759699388.6719721156271.0164542332133.617200742991.473667945375.861654436869.212582510866.640599762437.8221596309

280.93533554843.862036424530.027730958224.902831608722.339663620621.2777249007143.3453230607280.93533554863.778931450643.662737768636.210721607332.483669041230.9395246663208.0109200821280.93533554877.613966939853.134133931144.06561360939.530082390937.6509795628252.9301119815280.93533554895.492335849165.373575948454.216122948848.63583260446.3238786422310.9770815405280.935335548109.118816825274.702196733461.952607362855.576025676552.9341625508355.2191446967280.935335548122.953807070484.17356192269.807473677162.622415982859.6455954992400.1381896994

290.860690583840.361602654927.631351491222.91544753320.556834565919.2517385071131.5776653359290.860690583858.68901899740.178209137233.320905195129.891292094327.9935773768190.9336933842290.860690583871.419941923848.893735356640.548933251136.375362578734.0659923211232.1646560152290.860690583887.871517839160.156402019949.889375649944.754423423541.9130899763285.4454994925290.8606905838100.410530059668.740547128857.008445700551.140750597947.8939670607326.0549311313290.8606905838113.141411353277.456044846464.23645011957.624799877753.9663621467367.2857589268

300.792002701837.140522913925.426216396221.086667728718.916285157417.7153430024121.0770379004300.792002701854.005309786436.97176521630.661712159727.505801205425.7595346472175.6961257165300.792002701865.720234456844.99174410637.312903489633.472406903831.3473372008213.6366288588300.792002701880.858883372155.355587505945.90792678241.182772222238.5681929424262.6653655263300.792002701892.397212874963.254670226652.458855559547.059435068944.0717628649300.0339392966300.7920027018104.112099234671.274622889359.110025138353.026021255149.6595471451337.9743183642

310.728796493634.176503200723.397063311719.403834695317.406660690416.3015603799111.4144187716310.728796493649.695386547134.02121330328.214737476725.310685719523.7037809176161.6746004576310.728796493660.475395256741.401153398134.335126850330.801123191928.845645837196.5872410277310.728796493674.405896028350.937904615842.244219615237.896158595435.4902372429241.7032125912310.728796493685.023402844158.206596726448.272347944343.303831154540.5545917623276.0895669252310.728796493695.803376300565.586512687254.392717302748.794250671845.6964398665311.0020933223

320.670634491531.449028699321.529847897217.855301071216.017512628415.0006054516102.5229302391Qd3320.670634491545.729419085531.306131796725.963044944623.290752623721.812087737148.772070679Qd3320.670634491555.649123313238.097111742331.594993301928.343022735326.5436033186180.8984889029Qd3320.670634491568.467892863346.872777321238.872896599734.87183496432.6579194788222.4139557184Qd3320.670634491578.238063749653.561387488544.419946855539.847945261337.3181104202254.0560882666Qd3320.670634491588.157735537560.35234522650.05187679544.900198850842.0496105285286.1824014292Qd3

330.617114139728.939221789919.811646628516.430349018614.739226286113.803473941994.3410318045330.617114139742.079957822928.807728852623.891049964621.432021391720.0713621638136.8992343354330.617114139751.208014637735.056750935229.073537607726.081092328124.4252765606166.4617862089330.617114139763.003775283743.132069730235.770623858432.088869131530.0516363806204.664088524330.617114139771.99423234749.286891710640.874988739336.667858229134.339918239233.7810034047330.617114139781.122259310755.535893357446.057459434541.316913961938.6938183974263.3434586015

340.567865008726.629711391518.230567350315.119116042713.562954283312.70188016686.8120942426340.567865008738.721743809426.508712319921.984411675519.721627220718.4695561455125.9739161798340.567865008747.121331065332.259027782726.753308062123.999676512222.4760040262153.1772124572340.567865008757.975724591339.689891351432.915929687329.52799940727.6533491283188.3307591741340.567865008766.248693319145.353524402537.612937941533.741559779231.5994023112215.1239827623340.567865008774.648253106351.103821060342.381818732738.019595080435.6058370898242.3271900783

350.522546231624.504512731616.775666967413.912526730512.480555310211.688199682979.8840076542350.522546231635.631533899124.39317005720.229933696218.147731990616.9955831313115.9204990058350.522546231643.360787507129.684578454124.618245702522.084369222120.682294251140.9528213684350.522546231653.348940230336.522417897830.289055943527.171501289325.4464584999173.3009200924350.522546231660.96168017141.734061620434.61121688931.04879617529.0775947536197.9558958406350.522546231668.690908502447.025452713238.999514544434.985420532832.7642938169222.9881363413

660.03966364971.860004627315.43687570412.802229937311.484537778110.755416524452.3787282208660.03966364972.704596441322.446459799718.615472790216.699442328715.639241338376.1448763481660.03966364973.291282152427.315584460122.653573160420.321914076319.031732463892.6537499627660.03966364974.049428641133.607726392927.871821293425.003064790823.4156899832113.987394751660.03966364974.627270431738.403452042231.849049824328.570930040826.7570414253130.247407414660.03966364975.213954224243.272560779335.887136988932.19338994230.1495214565146.7562270406

370.442470114720.74938809951.171729491411.780540985910.56800796919.897074635354.6092112959370.442470114730.1712804311.70378899417.129854818415.366734214314.391143142979.2052717153370.442470114736.71608646692.073377832520.845692383418.700112625817.512894661596.2906340848370.442470114745.17363302252.550980192525.647495374523.007681551221.546988057118.3692483124370.442470114751.61978019792.914997710229.307319010626.290811366624.6216811226135.1970595226370.442470114758.16456483063.284585340133.023144423929.624178877127.7434224323152.2823660187

380.407158545619.093471851113.07129541950.89419695829.7246223229.107233189352.2979782857380.407158545627.763444919919.00671565871.300234351814.140383598713.242650105575.8605871801380.407158545633.78593913623.12968510471.582283423417.207739925716.115268539492.2280746748380.407158545641.568526570228.45760557261.946762239221.171540960719.8274189085113.3790127968380.407158545647.500235450132.51842383112.224559597324.192658808322.6567344149129.4997706473380.407158545653.522709971136.6413797942.506607746527.260005104325.5293434546145.8672046162

390.374665035517.569706903312.02813355049.97526535690.73814332558.380425471249.0663396428390.374665035525.547768036717.489874336114.50483874581.07331980912.185813182171.1762791453390.374665035531.089633813121.28380795417.65125331011.306146187814.829180733286.5346870336390.374665035538.251127607126.186530819521.71721760531.607016821218.2450809149106.3816388034390.374665035543.709453220529.923273259324.81620193661.836333487820.8486013523121.5085282919390.374665035549.251300873633.7171944727.96260621132.069159105123.4919602589136.8668859545

380.4071585456000000.4071585456

Tabel Hasil perhitungan Hidrograf Satuan Sintetik Nakayasu untuk kala ulang 2 tahunTabel Hasil perhitungan Hidrograf Satuan Sintetik Nakayasu untuk kala ulang 10 tahunTabel Hasil perhitungan Hidrograf Satuan Sintetik Nakayasu untuk kala ulang 50 tahun

NoParameterKala ulangtU (t,1)Akibat hujan (mm/jam)totalketerangantU (t,1)Akibat hujan (mm/jam)totalketerangantU (t,1)Akibat hujan (mm/jam)totalketerangan

25102550100Jamm 3 /detik46.894439667429.5416458322.544495153418.610070714916.0376727728Jamm 3 /detik82.979810941352.274005260639.892532224732.930559795128.3786961539Jamm 3 /detik116.662749596673.492926977756.085600158846.297642858839.8980991367

1Xt135.2669709201196.6890634614239.3551933484294.4906363077336.5136009531379.1795913113000----0000----0000----0

2tg3.6193.6193.6193.6193.6193.61910.15343884937.19542885940---7.348867708610.153438849310.46273272720---10.616171576510.153438849300---0

3Tp5.06665.06665.06665.06665.06665.066620.809855101737.97770120544.53283614150--43.320392448620.809855101755.22263440746.59110860120--62.623598110220.8098551017000--0

4T 0,37.2387.2387.2387.2387.2387.23832.1430205919100.495749850623.92445258773.45920139350-130.022424423732.1430205919146.128909263834.78807976025.029957260-188.089966875932.14302059190000-0

5Qp14.461731535814.461731535814.461731535814.461731535814.461731535814.461731535844.274440853200.447508694163.308355330918.25777441492.85550783520289.143587128144.274440853291.466811816992.055444389826.54827358174.15213823440418.497108875944.274440853000000

657.3023617438342.4401622227126.274017801348.313317346615.07146071122.4608020551541.862121880757.3023617438497.9355591465183.612585776970.251452198421.91511698773.57820426784.595280113357.3023617438000000

75.06667.5379841142353.4895412592215.723784356996.365111094439.881764757812.9881911143725.98637669685.790410.3857028016708.1833128896313.6797462299140.122628033957.991296072118.88587530971249.24856133685.790410.3857028016000000

612.3819986893580.6468904959222.6844569751164.628058940579.547646541334.36906299761094.2581146397615.00887539681023.4295458258446.1275315469239.3824487399115.66868092349.97538399111889.5924664235615.0088753968000000

712.7088828069595.9759380261365.7846199459169.9400463297135.897468437168.55208368761348.8590392333712.7088828069866.5969844563644.7202139351340.459026238197.605857600499.68024749232161.7712125288712.7088828069000000

810.7613460655504.6472938058375.441314775279.1459094393140.2824174136117.11288811541427.3911696146810.7613460655733.7977846465545.9218912459492.013607569281.0427339668170.29156582712233.8289293208810.7613460655000000

diketahui99.1122540746427.3140489346317.9078741192286.5153468439230.4298711988120.8917225911392.171117762299.1122540746621.3490219908462.2636376212416.6163761539406.1482844148242.19528617582157.68486043199.1122540746000000

A=455.96107.715872514361.8315180883269.1909825843242.6091142161236.5132077426198.57844325211316.4391383974107.715872514526.1321514004391.4253560689352.7731798663343.9092411896350.00798129611971.9637823352107.715872514000000

L=55.5116.5334754897306.3836721692227.9395730774205.4311678208200.2694112651203.82090376451150.3782035867116.5334754897445.5065203938331.4424862879298.7134533257291.2078438199296.37199977661669.7757790936116.5334754897000000

S=18.541125.5322715476259.432774314193.009618955173.9504504955169.5796926999172.5869467927974.0917548047125.5322715476377.2361357981280.6515214548252.9379564274246.5825227869250.9553122941413.8957203088125.5322715476000000

=2133.59492808910163.4324066954147.2939065117143.5929331122146.13934907110134.6844942673319.4276528794237.6438741365214.1771958691208.7956826518212.49837641911197.2272762231134.6844942673000000

143.217582486168.58213838110124.7222690927121.5884408768123.74463853610144.0215087948274.2198073211201.2268118906181.3562182531176.799379783179.93466473361017.5583907763144.0215087948000000

152.8798453815135.0487354932106.20009239130102.9559647153104.78174197280153.5993866761245.436021941172.747653771153.5647983699149.7062597016152.3610867922877.4152072518153.5993866761000000

Waktuintensitas hujan (i)162.5775592257120.873195599685.075372304881.0458388806088.72476077130163.2215730725219.67355843154.615005223131.8311330929126.7649480521129.0129436864765.1191615569163.2215730725000000

25102550100172.3070028706108.1856069376.14534175264.924660245266.901865952300172.8834170917196.6152803963138.3856701856117.9933323941108.824202653109.2427206254673.9446233463172.8834170917000000

146.894439667468.188289846282.9798109413102.0942014373116.6627495966131.4542223197135.2669709201182.5807560274121.023107824368.152661733458.109771471853.594126197257.6542803342361.1147035883182.5807560274175.9773400204123.8598652512105.608031751297.40134985593.7818549243599.2091978295182.5807560274000000

229.5416458342.955930866852.274005260664.315316731573.492926977782.8109708991196.6890634614192.3098641165108.319783452276.239780535752.010215036147.968559462446.1860178645333.0342204674192.3098641165157.505683883110.858777498194.522767889287.177509435383.9379387934536.3125416156192.3098641165000000

322.544495153432.781510576939.892532224749.081772717956.085600158863.1965985519239.3551933484202.067406674796.949877573568.237187645758.181841752342.933486562141.3380514147309.7078516229202.0674066747140.972925562899.222363301184.601081009478.026825733575.1273002072480.0179024888202.0674066747000000

418.610070714927.060540758532.930559795140.516110690446.297642858852.167642699294.4906363077211.850399046486.773426441261.074595769852.074720379948.028052168236.9989571254286.8001509308211.8503990464126.17554650688.807378190975.720834967169.836653667867.2414800454429.6322924235211.8503990464000000

516.037672772823.320067096428.378696153934.915725750639.898099136744.9567116511336.5136009531221.656169863877.665157757854.663833272446.608639757242.986734550241.3893206743264.9698558758221.6561698638112.931390708879.485613512567.772713772762.506172071760.183403719384.5354636484221.6561698638000000

379.1795913113231.482328162269.512948571148.925983551241.71631233338.474584412137.0448448505237.1570018802231.4823281622101.077422373771.142318173960.658875910555.945142584453.866186181344.1722733857231.4823281622000000

241.30451475261.174488334743.790413572537.33751346834.436057103933.1563917368211.199378968241.30451475288.952630020863.674786058954.29174990850.072798814148.212062369306.5085419227241.304514752000000

251.200407239956.292424886338.537512784733.418340069230.821438281529.676094405189.9462176666251.200407239981.853716805756.036645503348.592956328744.816852102843.1514299168275.6520078973251.2004072399000000

261.104608084651.799977177535.462005531929.409626504827.586231921826.5611103321171.9235595527261.104608084675.321336236451.564610407842.763964141740.112601651638.6219923474249.4891128694261.1046080846000000

271.016454233247.666051711332.63194081527.062575201324.27711178423.7730940078156.4272277526271.016454233269.310275865847.449468515239.351162630435.300874617634.5679922022226.9962280643271.0164542332000000

280.93533554843.862036424530.027730958224.902831608722.339663620620.9213807205142.9889788805280.93533554863.778931450643.662737768636.210721607332.483669041230.4213715458207.4927669616280.935335548000000

290.860690583840.361602654927.631351491222.91544753320.556834565919.2517385071131.5776653359290.860690583858.68901899740.178209137233.320905195129.891292094327.9935773768190.9336933842290.8606905838000000

300.792002701837.140522913925.426216396221.086667728718.916285157417.7153430024121.0770379004300.792002701854.005309786436.97176521630.661712159727.505801205425.7595346472175.6961257165300.7920027018000000

310.728796493634.176503200723.397063311719.403834695317.406660690416.3015603799111.4144187716310.728796493649.695386547134.02121330328.214737476725.310685719523.7037809176161.6746004576310.7287964936000000

320.670634491531.449028699321.529847897217.855301071216.017512628415.0006054516102.5229302391320.670634491545.729419085531.306131796725.963044944623.290752623721.812087737148.772070679320.6706344915000000

330.617114139728.939221789919.811646628516.430349018614.739226286113.803473941994.3410318045330.617114139742.079957822928.807728852623.891049964621.432021391720.0713621638136.8992343354330.6171141397000000

340.567865008726.629711391518.230567350315.119116042713.562954283312.70188016686.8120942426340.567865008738.721743809426.508712319921.984411675519.721627220718.4695561455125.9739161798340.5678650087000000

350.522546231624.504512731616.775666967413.912526730512.480555310211.688199682979.8840076542350.522546231635.631533899124.39317005720.229933696218.147731990616.9955831313115.9204990058350.5225462316000000

660.03966364971.860004627315.43687570412.802229937311.484537778110.755416524452.3787282208660.03966364972.704596441322.446459799718.615472790216.699442328715.639241338376.1448763481660.0396636497000000

370.442470114720.74938809951.171729491411.780540985910.56800796919.897074635354.6092112959370.442470114730.1712804311.70378899417.129854818415.366734214314.391143142979.2052717153370.4424701147000000

380.407158545627.763444919919.00671565871.300234351814.140383598713.242650105575.8605871801380.4071585456000000

Tabel Hasil perhitungan Hidrograf Satuan Sintetik Nakayasu untuk kala ulang 25 tahunTabel Hasil perhitungan Hidrograf Satuan Sintetik Nakayasu untuk kala ulang 100 tahun

tU (t,1)Akibat hujan (mm/jam)totalketerangantU (t,1)Akibat hujan (mm/jam)totalketerangan

Tabel Hasil perhitungan Hidrograf Satuan Sintetik Nakayasu untuk kala ulang 5 tahunJamm 3 /detik102.094201437364.315316731549.081772717940.516110690434.9157257506Jamm 3 /detik131.454222319782.810970899163.196598551952.16764269944.9567116511

tU (t,1)Akibat hujan (mm/jam)totalketerangan000----0000----0

Jamm 3 /detik68.188289846242.955930866832.781510576927.060540758523.320067096410.153438849300---0.153438849310.153438849300---0.1534388493

000----020.8098551017000--0.809855101720.8098551017000--0.8098551017

10.153438849300---0.153438849332.14302059190000-2.143020591932.14302059190000-2.1430205919

20.8098551017000--0.809855101744.274440853000004.27444085344.274440853000004.274440853

32.14302059190000-2.143020591957.3023617438000007.302361743857.3023617438000007.3023617438

44.274440853000004.2744408535.790410.38570280160000010.38570280165.790410.38570280160000010.3857028016

57.3023617438000007.3023617438615.00887539680000015.0088753968615.00887539680000015.0088753968

5.790410.38570280160000010.3857028016712.70888280690000012.7088828069712.70888280690000012.7088828069

615.00887539680000015.0088753968810.76134606550000010.7613460655810.76134606550000010.7613460655

712.70888280690000012.708882806999.1122540746000009.112254074699.1122540746000009.1122540746

810.76134606550000010.7613460655107.715872514000007.715872514107.715872514000007.715872514

99.1122540746000009.1122540746116.5334754897000006.5334754897116.5334754897000006.5334754897

107.715872514000007.715872514125.5322715476000005.5322715476125.5322715476000005.5322715476

116.5334754897000006.5334754897134.6844942673000004.6844942673134.6844942673000004.6844942673

125.5322715476000005.5322715476144.0215087948000004.0215087948144.0215087948000004.0215087948

134.6844942673000004.6844942673153.5993866761000003.5993866761153.5993866761000003.5993866761

144.0215087948000004.0215087948163.2215730725000003.2215730725163.2215730725000003.2215730725

153.5993866761000003.5993866761172.8834170917000002.8834170917172.8834170917000002.8834170917

163.2215730725000003.2215730725182.5807560274000002.5807560274182.5807560274000002.5807560274

172.8834170917000002.8834170917192.3098641165000002.3098641165192.3098641165000002.3098641165

182.5807560274000002.5807560274202.0674066747000002.0674066747202.0674066747000002.0674066747

192.3098641165000002.3098641165211.8503990464000001.8503990464211.8503990464000001.8503990464

202.0674066747000002.0674066747221.6561698638000001.6561698638221.6561698638000001.6561698638

211.8503990464000001.8503990464231.4823281622000001.4823281622231.4823281622000001.4823281622

221.6561698638000001.6561698638241.304514752000001.304514752241.304514752000001.304514752

231.4823281622000001.4823281622251.2004072399000001.2004072399251.2004072399000001.2004072399

241.304514752000001.304514752261.1046080846000001.1046080846261.1046080846000001.1046080846

251.2004072399000001.2004072399271.0164542332000001.0164542332271.0164542332000001.0164542332

261.1046080846000001.1046080846280.935335548000000.935335548280.935335548000000.935335548

271.0164542332000001.0164542332290.8606905838000000.8606905838290.8606905838000000.8606905838

280.935335548000000.935335548300.7920027018000000.7920027018300.7920027018000000.7920027018

290.8606905838000000.8606905838310.7287964936000000.7287964936310.7287964936000000.7287964936

300.7920027018000000.7920027018320.6706344915000000.6706344915320.6706344915000000.6706344915

310.7287964936000000.7287964936330.6171141397000000.6171141397330.6171141397000000.6171141397

320.6706344915000000.6706344915340.5678650087000000.5678650087340.5678650087000000.5678650087

330.6171141397000000.6171141397350.5225462316000000.5225462316350.5225462316000000.5225462316

340.5678650087000000.5678650087660.0396636497000000.0396636497660.0396636497000000.0396636497

350.5225462316000000.5225462316370.4424701147000000.4424701147370.4424701147000000.4424701147

660.0396636497000000.0396636497380.4071585456000000.4071585456380.4071585456000000.4071585456

370.4424701147000000.4424701147

380.4071585456000000.4071585456

Ioh

Tabel Hasil perhitungan Debit banjir rancangan Metode IOH

NoParameterKala ulang, T (tahun)

25102550100

1Xt135.2670196.6891239.3552294.4906336.5136379.1796

2Iu0.00000.00000.00000.00000.00000.0000

3ARF0.82420.82420.82420.82420.82420.8242

4V0.94690.94690.94690.94690.94690.9469

5Q(m3 / dt)401.58251003.00591620.95392690.85733728.48404992.1403

6P111.4809162.1021197.2656242.7057277.3391312.5025

diketahui

A=455.96

L=55.5

S=32.954954955

Hasper

NoParameterKala ulang, T (Tahun)

25102550100

10.29030.29030.29030.29030.29030.2903

2Tc6.91646.91646.91646.91646.91646.9164

3R135.2670196.6891239.3552294.4906336.5136379.1796

41/1.90591.90591.90591.90591.90591.9059

50.52470.52470.52470.52470.52470.5247

6r118.1800171.8433209.1198257.2906294.0052331.2816

7RT4.74646.90168.398710.333411.807913.3050

8Q(m3/det)329.5852479.2434583.2017717.5422819.9334923.8914

diketahui

A=455.96135.2669709201

L=55.5196.6890634614

S=0.033239.3551933484

294.4906363077

336.5136009531

379.1795913113

Abnormal

Tabel.3. Uji abnormalitas data curah hujan

RankingxiLog xixi + bLog(xi + b){Log(xi + b)}22.1408045909log Xo

1242.72.3851258.85112.41305.8228138.2943988783Xo

2236.82.3744252.95112.40305.7746276.58879775662Xo

3164.52.2162180.65112.25685.093319125.3407611154Xo2

41502.1761166.15112.22054.93061m

5148.42.1714164.55112.21634.9120

6131.82.1199147.95112.17014.70942.191058987

7129.32.1116145.45112.16274.67734.8176481816

8123.42.0913139.55112.14474.59990.1300334466

91162.0645132.15112.12114.4989

1090.71.9576106.85112.02884.1159

11761.880892.15111.96453.8593

Jumlah23.548924.101652.9941

XsXtXs . XtXs + Xt(Xs . Xt)-Xi22Xi-(Xs + Xt)bi

242.77618445.2318.7-680.1407611154-42.111202243416.1510649158

MELCHIOR

NoParameterKala ulangNoParameterKala ulang

251025501002510255010025102550100

1Xt135.2669709201196.6890634614239.3551933484294.4906363077336.5136009531379.17959131131nF678.241nF678.24678.24678.24678.24678.24678.24

2R3.23.23.43.53.53.4210.691085210.6910850.6910850.6910850.6910850.6910850.691085

3Ro18.035596122726.225208461533.90865239142.946551128249.07490013953.71710876913Qo03Qo513.5086406391789.7447735495990.49762689271244.97088679521437.39861011781634.9726628687

4Qo4276.22541221086217.97594606058039.714354990610182.592915255211635.619563033912736.28351546694V04V1.10829228821.2079309591.26390795721.32305104251.36163342651.3971623027

5Tc9.56588417278.87579838168.43119457788.04202760727.83031680347.69004165665Tc05Tc13.91028957812.762870718712.19761817211.652359713611.322185814811.0342704183

620,6620.8729815250.8471645750.834446450.81435620.799498550.78654215

7070.60330443720.58546273030.57667342490.56278935450.55252145540.5435674817

diketahui8Rt08Rt1.6296322572.50627426873.1433682193.95094496794.56161880395.1886251691

A=455.969R1,99R1.6296322.5062743.1433683.9509454.5616195.188625

L=55.510Q010Q311.580174478696.78251917131063.47320416561644.60236227042169.75176809212780.902041817

S=0.0185678.2402564014678.2402564014678.2402564014678.2402564014678.2402564014678.2402564014678.2402564014

Diketahui :135.2669709201196.6890634614239.3551933484294.4906363077336.5136009531379.1795913113Diketahui :135.2669709201196.6890634614239.3551933484294.4906363077336.5136009531379.1795913113

a =36a =36

b =24b =24

f =3.14f =3.14

L =55.5L =55.5

I =0.0266066066I =0.0266066066

A =455.96A =455.96

Weduwen

NoParameterKala ulang, T (Tahun)

25102550100Xt

1tc15.377614.454713.986013.504713.203312.9396

20.74020.73000.72450.71860.71480.7113

3R135.2670196.6891239.3552294.4906336.5136379.1796

4Rn2.26583.48594.37085.55076.47337.4277

50.52750.57040.59670.62690.64740.6662

6Q(m3/det)403.3880661.8482861.55561140.1021365.7251604.985

7Tc15.377614.454713.986013.504713.203312.9396

diketahui

A=455.96

L=55.5

S=0.033

MBD0000DCC3.unknown

MBD000C7E91.unknown

MBD0008B86F.unknown

Lanjutan

( log xo = 23,5489

log xo = 1/n

= 23,5489 / 11 = 2,1408

xo = 138,2944

2 xo = 276,5889

xo2 = 19125,3408

m = n/10 = 11/10 = 1,1 ( 1,0

bi =

=

= 16,1511

=

= 16,1511

Xo =

=

= 2,1911

X2 =

=

= 4,8177

Sx =

=

= 0,1300

EMBED Excel.Sheet.8

_1103915459.unknown

_1104557571.unknown

_1104557864.unknown

_1104557929.unknown

_1104558015.unknown

_1104557645.xls

pearson

Tabel Log pearson curah hujan

NOTahunXilog XiLog Xi - Log X(Log Xi - Log X)2(Log Xi - Log X)3

11988131.80002.1199-0.01040.0001077759-0.0000011189

21989148.40002.17140.04110.00169225080.0000696141

31990123.40002.0913-0.03900.0015195781-0.0000592358

41991164.50002.21620.08590.00737348120.0006331533

51992236.80002.37440.24410.05957737630.0145419303

6199355.70001.7459-0.38440.1477954439-0.0568187362

7199476.00001.8808-0.24950.0622419335-0.0155283250

81995242.70002.38510.25480.06490920560.0165371034

91996129.30002.1116-0.01870.0003496302-0.0000065375

10199790.70001.9576-0.17270.0298217112-0.0051499005

111998150.00002.17610.04580.00209712100.0000960363

121999116.00002.0645-0.06580.0043347655-0.0002853963

132000250.70002.39920.26890.07228430620.0194341712

27.69390.4541045791-0.0265372417

log X =2.1302969253

Slog X =0.1945303274

q log X =-0.0273098865

Kala ulangKtrS log Xlog XtAnti log

2 tahun0.00460.19453032742.1311917648135.2669709201

5 tahun0.84040.19453032742.2937802124196.6890634614

10 tahun1.27870.19453032742.3790428549239.3551933484

25 tahun1.74150.19453032742.4690714904294.4906363077

50 tahun2.03930.19453032742.5270026219336.5136009531

100 tahun2.30580.19453032742.5788449541379.1795913113

Tabel Log pearson untuk debit rancangan

NOTahunXilog XiLog Xi - Log X(Log Xi - Log X)2(Log Xi - Log X)3

1198874.30001.8710-0.73960.5470702075-0.4046360725

21989216.83002.3361-0.27450.0753565029-0.0206862183

31990609.90002.78530.17460.03049489440.0053252586

419911207.00003.08170.47110.22191307910.1045380390

51992492.30002.69220.08160.00665840930.0005433201

619941087.00003.03620.42560.18113432570.0770905489

71995730.00002.86330.25270.06385329790.0161352240

81996646.00002.81020.19960.03984086210.0079523061

91997313.00002.4955-0.11510.0132448844-0.0015243064

101998334.00002.5237-0.08690.0075488803-0.0006558791

111999302.00002.4800-0.13060.0170625814-0.0022287795

122000225.00002.3522-0.25840.0667954933-0.0172631778

31.32761.2709734183-0.2354097369

log X =2.6106307592

Slog X =0.3399162221

q log X =-0.0544899065

Kala ulangKtrS log Xlog XtAnti log

2 tahun0.00930.33991622212.6137919801410.9528342892

5 tahun0.83870.33991622212.8957184947786.5357997744

10 tahun1.27550.33991622213.04419390051107.117971147

25 tahun1.73190.33991622213.19933166421582.4560759882

50 tahun2.02460.33991622213.29882514241989.8720064772

100 tahun2.28570.33991622213.3875772682441.0533321408

Tabel Log pearson untuk debit rancangan Hujan maksimum

NOTahunXilog XiLog Xi - Log X(Log Xi - Log X)2(Log Xi - Log X)3

1198874.30001.8710-1.08451.1762157134-1.2756468631

21989534.33002.7278-0.22770.0518536870-0.0118078129

31990703.00002.8470-0.10860.0117870714-0.0012797021

419911756.50003.24460.28910.08359300490.0241687899

519921986.00003.29800.34250.11727586480.0401617812

619943107.20003.49240.53680.28820320170.1547206217

719953215.70003.50730.55180.30443018200.1679699376

819962327.00003.36680.41130.16914529820.0695648567

91997720.63002.8577-0.09780.0095670440-0.0009357647

101998423.74602.6271-0.32840.1078583783-0.0354226322

111999882.60002.9458-0.00980.0000952514-0.0000009296

122000479.60002.6809-0.27460.0754295632-0.0207163094

35.46632.3954542603-0.8892240269

log X =2.955523605

Slog X =0.4666568001

q log X =-0.0795473484

Kala ulangKtrS log Xlog XtAnti log

2 tahun0.01350.46665680012.9618234718915.8481485132

5 tahun0.83720.46665680013.34620867812219.2625170314

10 tahun1.27250.46665680013.54934438323542.7816222241

25 tahun1.72320.46665680013.7596666035749.9835599903

50 tahun2.01110.46665680013.89401709577834.6048261424

100 tahun2.26720.46665680014.013527902310316.3935738224

Rasional

NoParameterKala ulang

25102550100

1Tc8.74927186498.74927186498.74927186498.74927186498.74927186498.7492718649NoParameterKala ulang

2I11.044347849316.05937074119.54299705924.044724322727.475837151330.95945207725102550100NoParameterKala ulang

3Q419.9841225034610.6907189683743.1627999155914.3502706821044.82541780441177.2970655352Tc5.96832030725.96832030725.96832030725.96832030725.96832030725.968320307225102550100NoParameterKala ulang

I14.252354052420.724069975225.219570872831.02889630235.456630333339.9521165295Tc7.78405248177.78405248177.78405248177.78405248177.78405248177.784052481725102550100

Q541.9751796994788.0755352863959.02623563311179.93782552361348.31155090741519.2616922033I11.939446138317.360915700421.126875389225.993448855429.702639055633.4685864288Tc5.43702201035.43702201035.43702201035.43702201035.43702201035.4370220103

A=455.96Km 2Q454.0220824261660.1846524377803.3930425465988.45454320371129.50415633721272.7120781193I15.166334262522.053070767726.836860802733.018728792637.730406182742.5141805735

L=55.5KmQ576.7311636442838.61353347821020.52702330161255.60531299511434.77657065591616.6894655774

S=32.955Baramby-wiliamA=455.96Km 2

L=55.5KmBayernA=455.96Km 2

S=0.033L=55.5KmMcDermotA=455.96Km 2

XtS=0.033L=55500mKirpick

135.2669709201S=0.033

196.6890634614Xt

239.3551933484135.2669709201Xt

294.4906363077196.6890634614135.2669709201Xt

336.5136009531239.3551933484196.6890634614135.2669709201

379.1795913113294.4906363077239.3551933484196.6890634614

336.5136009531294.4906363077239.3551933484

379.1795913113336.5136009531294.4906363077

379.1795913113336.5136009531

379.1795913113

Nakaysu

Tabel Hasil perhitungan Ordinat Hidrograf Satuan Sintetik Nakayasu untuk kala ulang 2 tahunTabel Hasil perhitungan Ordinat Hidrograf Satuan Sintetik Nakayasu untuk kala ulang 5 tahunTabel Hasil perhitungan Ordinat Hidrograf Satuan Sintetik Nakayasu untuk kala ulang 10 tahunTabel Hasil perhitungan Ordinat Hidrograf Satuan Sintetik Nakayasu untuk kala ulang 25 tahunTabel Hasil perhitungan Ordinat Hidrograf Satuan Sintetik Nakayasu untuk kala ulang 50 tahunTabel Hasil perhitungan Ordinat Hidrograf Satuan Sintetik Nakayasu untuk kala ulang 100 tahun

NoParameterKala ulangtU (t,1)Akibat hujan (mm/jam)totalketerangantU (t,1)Akibat hujan (mm/jam)totalketerangantU (t,1)Akibat hujan (mm/jam)totalketerangantU (t,1)Akibat hujan (mm/jam)totalketerangantU (t,1)Akibat hujan (mm/jam)totalketerangantU (t,1)Akibat hujan (mm/jam)totalketerangan

25102550100Jamm 3 /detik46.894439667429.5416458322.544495153418.610070714916.0376727728Jamm 3 /detik68.188289846242.955930866832.781510576927.060540758523.3200670964Jamm 3 /detik82.979810941352.274005260639.892532224732.930559795128.3786961539Jamm 3 /detik102.094201437364.315316731549.081772717940.516110690434.9157257506Jamm 3 /detik116.662749596673.492926977756.085600158846.297642858839.8980991367Jamm 3 /detik131.454222319782.810970899163.196598551952.16764269944.9567116511

1Xt135.2669709201196.6890634614239.3551933484294.4906363077336.5136009531379.1795913113000----0000----0000----0000----0000----0000----0

2tg3.6193.6193.6193.6193.6193.61910.15343884937.19542885940---7.348867708610.153438849310.46273272720---10.616171576510.153438849312.73232670290---12.885765552110.153438849315.66521678490---15.818655634210.153438849317.90059804990---18.054036899210.153438849320.17018460350---20.3236234527

3Tp6.51426.51426.51426.51426.51426.5142tp20.809855101737.97770120544.53283614150--43.320392448620.809855101755.22263440746.59110860120--62.623598110220.809855101767.20162322798.02086321350--76.032341543120.809855101782.68150988689.86846818930--93.359833177720.809855101794.479922937711.27667014440--106.566448183820.8098551017106.45887258412.70642008110--119.9751477668

4T 0,37.2387.2387.2387.2387.2387.238t0,332.1430205919100.495749850623.92445258773.45920139350-130.0224244237Qa32.1430205919146.128909263834.78807976025.029957260-188.0899668759Qa32.1430205919177.827443555342.3343698466.12106423870-228.4258982319Qa32.1430205919218.789975989152.08608737177.53105072560-280.5501346783Qa32.1430205919250.010674687959.51862185098.60570994860-320.2780270791Qa32.1430205919281.709105317367.06488725849.69681335910-360.6138265267Qa

5Qp13.778500124613.778500124613.778500124613.778500124613.778500124613.778500124644.274440853200.447508694163.308355330918.25777441492.85550783520289.143587128144.274440853291.466811816992.055444389826.54827358174.15213823440418.497108875944.274440853354.6922938639112.024269692232.30717074155.05282720050508.351002351144.274440853436.395625481137.829048127339.74912403556.21674540090624.464983897844.274440853498.6680229023157.496855868845.42120941997.10385704380712.964386087844.274440853561.8932981864177.465615868251.18008774668.00454306450802.8179857187

657.3023617438342.4401622227126.274017801348.313317346615.07146071122.4608020551541.862121880757.3023617438497.9355591465183.612585776970.251452198421.91511698773.57820426784.595280113357.3023617438605.9485969231223.442143637385.490518018826.66898185154.3543944814953.206996655957.3023617438745.528790837274.9120173128105.183249619332.81217894315.35742878031171.096027236357.3023617438851.9135995775314.141169482120.192596046937.49438226536.12191841931337.166027534857.3023617438959.9262841248353.9705970899135.431612031942.24823158286.89810610241505.7771926756

7611.3109304956530.4197477079215.723784356996.365111094439.881764757812.9881911143906.6895295269611.3109304956771.273007065313.6797462299140.122628033957.991296072118.88587530971313.2634832062611.3109304956938.5788740952381.7236962088170.518269472270.570867742122.98263185951595.6852698734611.31093049561154.7804164618469.6537084391209.797134444786.826859511328.27667862831960.6457279808611.31093049561319.5642521132536.6719383997239.734580585699.216802000732.31167913352238.8101827283611.31093049561486.869572012604.7156658581270.1301226226111.796332532436.40842228582521.2310458066

6.514213.7785001246646.1350428008334.1435027086164.628058940579.547646541334.36906299761272.60181411346.514213.7785001246939.5323601439485.8715484084239.3824487399115.66868092349.97538399111844.2089223316.514213.77850012461143.3373353952591.2676402296291.3097011802140.759730101160.81613022772241.26903725846.514213.77850012461406.704967227727.4660773533358.4128594121173.183718740774.82511926312754.37124212096.514213.77850012461607.437709855831.2733889631409.5573409766197.896536034585.50244802573145.44592397956.514213.77850012461811.2420186138936.669136113461.4844236019222.987503158796.34315881053542.5047404226

13.7522712.7088828069595.9759380261407.0395707497254.9992177381135.897468437168.55208368761475.1731614455712.7088828069866.5969844563591.8682988014370.7893876764197.605857600499.68024749232139.2496588335712.70888280691054.5806925883720.2573879975451.2216592878240.4708600486121.30305819582600.5425409248712.70888280691297.5032413272886.1685996005555.1605198138295.8632967118149.24520456153196.6497448217712.70888280691482.65321254951012.6223035206634.3803252011338.0821360388170.54206490793650.9889250248712.70888280691670.63630592851141.0109728528714.8123337791380.9469983079192.16480489954112.2802985747

24.6092810.7613460655504.6472938058375.441314775310.62932928210.4972163741117.11288811541529.0893884157810.7613460655733.7977846465545.9218912459451.6800475692306.0798956924170.29156582712218.5325310465810.7613460655892.9744619845664.3442067023549.65926023372.4752730234207.23150513222697.4460531379810.76134606551098.6710329426817.3758230275676.2732115108458.274911971254.96725997723316.3235854946810.76134606551255.4482213556934.0129960927772.7754487781523.669420486291.35035278493788.0177855628810.76134606551414.62437814671052.4349242789870.7543410228590.0645806878328.29017128724266.929741489

diketahui39.085299.1122540746427.3140489346317.9078741192286.5153468439256.4188616639181.40100204461478.669387680899.1122540746621.3490219908462.2636376212416.6163761539372.8536642127263.77165808042145.966612133599.1122540746756.1331203584562.5386608364506.9895169133453.7337222402320.98945975232609.496734175299.1122540746930.3083030394692.1193806571623.7744974255558.2512361963394.92934716863208.495018561499.11225407461063.0606153645790.8828205695712.7853195715637.9120778993451.28462624163665.03771372199.11225407461197.8442729549891.1575158608803.1581647884718.7918714291508.50224079724128.566319905

A=455.96107.715872514361.8315180883269.1909825843242.6091142161236.5132077426220.97507629881338.8357714441Qd1107.715872514526.1321514004391.4253560689352.7731798663343.9092411896321.31554739411943.2713484333Qd1107.715872514640.2616424576476.3340174311429.2973446975418.5106252391.01586849262363.1353707929Qd1107.715872514787.7458427078586.0575069456528.1859417236514.9145025537481.08633160582905.7059980504Qd1107.715872514900.1549030186669.686223306603.5565525978588.3913173263549.73596392663319.2408326892Qd1107.7158725141014.2840208442754.594606996680.0804671762662.9924573718619.43605708793739.1034819901Qd1

L=55.5116.5334754897306.3836721692227.9395730774205.4311678208200.2694112651203.82090376451150.3782035867116.5334754897445.5065203938331.4424862879298.7134533257291.2078438199296.37199977661669.7757790936116.5334754897542.1465609234403.3395603863363.5108893107354.3771500837360.66152363112030.5691598249116.5334754897667.0299627296496.2487845973447.2455834373436.007888365443.73986668092496.8055612998116.5334754897762.2132150484567.0620552396511.0662385734498.2249568179507.06026614452852.1602073135116.5334754897858.8529395412638.9588942168575.8634626548561.3940565025571.34957975653212.9524081616

S=18.541125.5322715476259.432774314193.009618955173.9504504955169.5796926999172.5869467927974.0917548047125.5322715476377.2361357981280.6515214548252.9379564274246.5825227869250.9553122941413.8957203088125.5322715476459.0668470984341.5309321177307.8056929063300.0716276712305.3929701981719.4003415392125.5322715476564.81284579420.2025454768378.7087010522369.1930947249375.74020792852114.18966652125.5322715476645.4100102618480.1642370738432.7493406962421.8758847839429.35725216322415.0889965266125.5322715476727.2404539555541.043448646487.6168977441475.3648147457483.79473204272720.5926186816

=2134.6844942673219.6767337885163.4324066954147.2939065117143.5929331122146.1393490711824.8198234461134.6844942673319.4276528794237.6438741365214.1771958691208.7956826518212.49837641911197.2272762231134.6844942673388.7184486532289.193991984260.6368815118254.088001193258.59388965971455.9157072691134.6844942673478.2597013543355.8097968309320.674559043312.6171448495318.16096423821790.2066605831134.6844942673546.5059816888406.5828288709366.4338939621357.2267099965363.56161642652044.995525212134.6844942673615.7965508646458.1327781368412.8934276702402.5188804207409.65697892352303.6831102831

144.0215087948188.586401551138.3876705361124.7222690927121.5884408768123.7446385361701.0509293875144.0215087948274.2198073211201.2268118906181.3562182531176.799379783179.93466473361017.5583907763144.0215087948333.7040394938244.8772779703220.69632099215.1510052827218.96640163651237.4165541681144.0215087948410.5727289815301.2847325263271.5336947149264.7110161328269.4052886251521.5289697753144.0215087948469.1602735319344.2771951116310.2807699907302.484514848307.8486464891738.072908766144.0215087948528.6443111764387.9275184435349.6207440758340.8360149284346.88025574841957.9303531674

Tabel Hasil perhitungan intensitas hujan (I) Hidrograf Satuan Sintetik Nakayasu153.5993866761168.7912213236118.801988519105.6095583043102.9559647153104.7817419728604.539861511153.5993866761245.436021941172.747653771153.5647983699149.7062597016152.3610867922877.4152072518153.5993866761298.6764258902210.2203718966186.8763385136182.1807990019185.41151575051066.9648377289153.5993866761367.4765083642258.6446118783229.9232829245224.1461263931228.1210383961311.9109546322153.5993866761419.9143464993295.5524521986262.7326724204256.1311323101260.67325279441498.6032428989153.5993866761473.1545763393333.0250477792296.0441036271288.6055654107293.72357366961688.152253502

Waktuintensitas hujan (i)163.2215730725151.0738640834106.331806391590.662885534387.178769577288.7247607713527.1936594302163.2215730725219.67355843154.615005223131.8311330929126.7649480521129.0129436864765.1191615569163.2215730725267.3255244914188.1543580432160.4281691899154.2630185779156.998653291930.3912966659163.2215730725328.9039302111231.4956941149197.3827806512189.7974882609193.1632761351143.9647424457163.2215730725375.8375726668264.5294621536225.5487343022216.8810425599220.72711865841306.7455034135163.2215730725423.4893828945298.068705292254.1456768799244.3790231602248.71273674281472.017098042

25102550100172.8834170917135.216228842595.170570723881.146355475274.840563052275.1283861646464.38552135172.8834170917196.6152803963138.3856701856117.9933323941108.824202653109.2427206254673.9446233463172.8834170917239.265405134168.4045277404143.588648967132.4305358346132.9398394453819.5123742131172.8834170917294.3801653877207.1964925331176.6642787621162.9358954737163.56251711611007.6227663644172.8834170917336.3873661514236.7628345721201.8737619348186.1863779365186.90241668051150.9961743671172.8834170917379.0373514126266.7815939579227.4689948048209.7926339196210.5994580051296.5634491916

146.894439667468.188289846282.9798109413102.0942014373116.6627495966131.4542223197135.2669709201182.5807560274121.023107824385.18088650372.628738519766.98484057364.495