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60
i Tahun Stasiun 19 Stasiun 20 Stasiun 1 Stasiun 2 Stasiun 3 Stasiun 4 Rerata C.H (mm) C.H (mm) C.H (mm) C.H (mm) C.H (mm) C.H (mm) 1 65.7 124.9 152 96.2 70.0 43.8 92.1 2 30.8 82.3 103 109.8 100.8 87.0 85.6 3 88 78.0 54 78.6 104.5 85.8 81.5 4 35 110.0 229 78.0 59.2 69.9 96.9 5 47.5 110.0 80 95.9 58.3 47.4 73.2 6 36.4 105.1 72 87.4 41.5 48.0 65.1 7 61 64.0 127 88.0 93.3 72.5 84.3 8 46.3 62.1 109.3 124.5 172.4 95.0 101.6 9 65.4 76.8 167.4 60.6 78.0 56.1 84.1 10 50.6 103.5 80 88.4 103.2 125.3 91.8 11 57.0 96.2 70.0 67.3 99.4 55.5 74.2 12 63.4 109.8 100.8 87.0 111.6 95.0 94.6 13 48.3 78.6 104.5 85.8 98.1 87.0 83.7 14 49.0 77.5 59.2 65.3 83.5 89.0 70.6 15 63.0 95.9 58.3 76.0 93.1 100.1 81.1 Tahun Stasiun 19 Stasiun 20 Stasiun 1 Stasiun 2 Stasiun 3 Stasiun 4 Rerata C.H (mm) C.H (mm) C.H (mm) C.H (mm) C.H (mm) C.H (mm) 1 124.9 65.7 152 96.2 70.0 43.8 92.1 2 82.3 30.8 103 109.8 100.8 87.0 85.6 3 78.0 88 54 78.6 104.5 85.8 81.5 4 110.0 35 229 78.0 59.2 69.9 96.9 5 110.0 47.5 80 95.9 58.3 47.4 73.2 6 105.1 36.4 72 87.4 41.5 48.0 65.1 7 64.0 61 127 88.0 93.3 72.5 84.3 8 62.1 46.3 109.3 124.5 172.4 95.0 101.6 9 76.8 65.4 167.4 60.6 78.0 56.1 84.1 10 103.5 50.6 80 88.4 103.2 125.3 91.8 11 96.2 57.0 70.0 67.3 99.4 55.5 74.2 12 109.8 63.4 100.8 87.0 111.6 95.0 94.6 13 78.6 48.3 104.5 85.8 98.1 87.0 83.7 14 77.5 49.0 59.2 65.3 83.5 89.0 70.6 15 95.9 63.0 58.3 76.0 93.1 100.1 81.1

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panggahiTahunStasiun 19Stasiun 20Stasiun 1Stasiun 2Stasiun 3Stasiun 4RerataMaxRerata St.Kumulatif St. 1KumulatifC.H (mm)C.H (mm)C.H (mm)C.H (mm)C.H (mm)C.H (mm)12,13,14,15,16Rerata165.7124.915296.270.043.892.1152.097.3865.797.4230.882.3103109.8100.887.085.6109.896.5896.5194.038878.05478.6104.585.881.5104.580.18184.5274.1435110.022978.059.269.996.9229.0109.22219.5383.4547.5110.08095.958.347.473.2110.078.32267.0461.7636.4105.17287.441.548.065.1105.170.8303.4532.576164.012788.093.372.584.3127.088.96364.4621.4846.362.1109.3124.5172.495.0101.6172.4112.66410.7734.1965.476.8167.460.678.056.184.1167.487.78476.1821.91050.6103.58088.4103.2125.391.8125.3100.08526.7922.01157.096.270.067.399.455.574.299.477.68583.7999.61263.4109.8100.887.0111.695.094.6111.6100.84647.11100.51348.378.6104.585.898.187.083.7104.590.8695.41191.31449.077.559.265.383.589.070.689.074.9744.41266.21563.095.958.376.093.1100.181.1100.184.68807.41350.9TahunStasiun 19Stasiun 20Stasiun 1Stasiun 2Stasiun 3Stasiun 4RerataMaxRerata St.Kumulatif St. 1KumulatifC.H (mm)C.H (mm)C.H (mm)C.H (mm)C.H (mm)C.H (mm)12,13,14,15,16Rerata1124.965.715296.270.043.892.1152.085.54124.985.5282.330.8103109.8100.887.085.6109.886.28207.2171.8378.0885478.6104.585.881.5104.582.18285.2254.04110.03522978.059.269.996.9229.094.22395.2348.25110.047.58095.958.347.473.2110.065.82505.2414.06105.136.47287.441.548.065.1105.157.06610.3471.1764.06112788.093.372.584.3127.088.36674.3559.5862.146.3109.3124.5172.495.0101.6172.4109.5736.4669.0976.865.4167.460.678.056.184.1167.485.5813.2754.510103.550.68088.4103.2125.391.8125.389.5916.7844.01196.257.070.067.399.455.574.299.469.841012.9913.812109.863.4100.887.0111.695.094.6111.691.561122.71005.41378.648.3104.585.898.187.083.7104.584.741201.31090.11477.549.059.265.383.589.070.689.069.21278.81159.31595.963.058.376.093.1100.181.1100.178.11374.71237.4TahunStasiun 19Stasiun 20Stasiun 1Stasiun 2Stasiun 3Stasiun 4RerataMaxRerata St.Kumulatif St. 1KumulatifC.H (mm)C.H (mm)C.H (mm)C.H (mm)C.H (mm)C.H (mm)12,13,14,15,16Rerata1152124.965.796.270.043.892.1152.080.12152.080.1210382.330.8109.8100.887.085.6109.882.14255.0162.335478.08878.6104.585.881.5104.586.98309.0249.24229110.03578.059.269.996.9229.070.42538.0319.7580110.047.595.958.347.473.2110.071.82618.0391.5672105.136.487.441.548.065.1105.163.68690.0455.2712764.06188.093.372.584.3127.075.76817.0530.98109.362.146.3124.5172.495.0101.6172.4100.06926.3631.09167.476.865.460.678.056.184.1167.467.381093.7698.41080103.550.688.4103.2125.391.8125.394.21173.7792.61170.096.257.067.399.455.574.299.475.081243.7867.612100.8109.863.487.0111.695.094.6111.693.361344.5961.013104.578.648.385.898.187.083.7104.579.561449.01040.61459.277.549.065.383.589.070.689.072.861508.21113.41558.395.963.076.093.1100.181.1100.185.621566.51199.0TahunStasiun 19Stasiun 20Stasiun 1Stasiun 2Stasiun 3Stasiun 4RerataMaxRerata St.Kumulatif St. 1KumulatifC.H (mm)C.H (mm)C.H (mm)C.H (mm)C.H (mm)C.H (mm)12,13,14,15,16Rerata196.2124.915265.770.043.892.1152.091.2896.291.32109.882.310330.8100.887.085.6109.880.78206.0172.1378.678.05488104.585.881.5104.582.06284.6254.1478.0110.02293559.269.996.9229.0100.62362.6354.7595.9110.08047.558.347.473.2110.068.64458.5423.4687.4105.17236.441.548.065.1105.160.6545.9484.0788.064.01276193.372.584.3127.083.56633.9567.58124.562.1109.346.3172.495.0101.6172.497.02758.4664.6960.676.8167.465.478.056.184.1167.488.74819.0753.31088.4103.58050.6103.2125.391.8125.392.52907.4845.81167.396.270.057.099.455.574.299.475.62974.7921.41287.0109.8100.863.4111.695.094.6111.696.121061.71017.61385.878.6104.548.398.187.083.7104.583.31147.51100.91465.377.559.249.083.589.070.689.071.641212.81172.51576.095.958.363.093.1100.181.1100.182.081288.81254.6TahunStasiun 19Stasiun 20Stasiun 1Stasiun 2Stasiun 3Stasiun 4RerataMaxRerata St.Kumulatif St. 1KumulatifC.H (mm)C.H (mm)C.H (mm)C.H (mm)C.H (mm)C.H (mm)12,13,14,15,16Rerata170.0124.915296.265.743.892.1152.096.5270.096.52100.882.3103109.830.887.085.6109.882.58170.8179.13104.578.05478.68885.881.5104.576.88275.3256.0459.2110.022978.03569.996.9229.0104.38334.5360.4558.3110.08095.947.547.473.2110.076.16392.8436.5641.5105.17287.436.448.065.1105.169.78434.3506.3793.364.012788.06172.584.3127.082.5527.6588.88172.462.1109.3124.546.395.0101.6172.487.44700.0676.2978.076.8167.460.665.456.184.1167.485.26778.0761.510103.2103.58088.450.6125.391.8125.389.56881.2851.11199.496.270.067.357.055.574.299.469.2980.6920.312111.6109.8100.887.063.495.094.6111.691.21092.21011.51398.178.6104.585.848.387.083.7104.580.841190.31092.31483.577.559.265.349.089.070.689.0681273.81160.31593.195.958.376.063.0100.181.1100.178.661366.91239.0TahunStasiun 19Stasiun 20Stasiun 1Stasiun 2Stasiun 3Stasiun 4RerataMaxRerata St.Kumulatif St. 1KumulatifC.H (mm)C.H (mm)C.H (mm)C.H (mm)C.H (mm)C.H (mm)12,13,14,15,16Rerata143.8124.915296.270.065.792.1152.0101.7643.8101.8287.082.3103109.8100.830.885.6109.885.34130.8187.1385.878.05478.6104.58881.5104.580.62216.6267.7469.9110.022978.059.23596.9229.0102.24286.5370.0547.4110.08095.958.347.573.2110.078.34333.9448.3648.0105.17287.441.536.465.1105.168.48381.9516.8772.564.012788.093.36184.3127.086.66454.4603.4895.062.1109.3124.5172.446.3101.6172.4102.92549.4706.4956.176.8167.460.678.065.484.1167.489.64605.5796.010125.3103.58088.4103.250.691.8125.385.14730.8881.11155.596.270.067.399.457.074.299.477.98786.3959.11295.0109.8100.887.0111.663.494.6111.694.52881.31053.61387.078.6104.585.898.148.383.7104.583.06968.31136.71489.077.559.265.383.549.070.689.066.91057.31203.615100.195.958.376.093.163.081.1100.177.261157.41280.9

panggah

Kumulatif St. 11Kumulatif Rerata

Rh.Thiessen

Kumulatif St. 11Kumulatif Rerata

Sheet4

Kumulatif St. 11Kumulatif Rerata

Nakayasu

Kumulatif St. 11Kumulatif Rerata

lengkung kapasitas

Kumulatif St. 11Kumulatif Rerata

lanjutan

Kumulatif St. 11Kumulatif Rerata

spillwayDAS 19 =12.636Km2DAS 20=16.168Km2DAS 1 =12.132Km2DAS 2 =7.407Km2DAS 3 =11.183Km2DAS 4 =12.141Km2JUMLAH =71.667Km2Curah Hujan rata-rata dengan metode Poligon ThiessenTahunSTA 19STA 20STA 1STA 2STA 3STA 4Rh. Rencanammmmmmmmmmmmmm165.7124.915296.270.043.893.7893.78230.882.3103109.8100.887.083.2583.2538878.05478.6104.585.881.2281.22435110.022978.059.269.998.8998.89547.5110.08095.958.347.473.7773.77636.4105.17287.441.548.065.9665.9676164.012788.093.372.582.6382.63846.362.1109.3124.5172.495.096.5496.54965.476.8167.460.678.056.185.1385.131050.6103.58088.4103.2125.392.2892.281157.096.270.067.399.455.575.4775.471263.4109.8100.887.0111.695.095.5195.511348.378.6104.585.898.187.082.8582.851449.077.559.265.383.589.071.0071.001563.095.958.376.093.1100.181.9581.95

MENGHITUNG HUJAN RANCANGANPERIODE ULANG TERTENTU1 Cara grafisMETODE GRAFISNoRweilbulhazenbloomgrindortencunnamePerhitungan dengan metode grafis dibagi menjadi :13.8522.482.232.38a. Weibull: Tr=27.6966.446.216.35............................................( 2.3.1 )311.541010.4010.1910.32`b. Hazen: Tr=415.381414.3614.1714.29............................................( 2.3.2 )519.231818.3218.1518.25c. Bloom: Tr=623.082222.2822.1322.22......................................( 2.3.3 )726.922626.2426.1126.19d.Gringorten: Tr=830.773030.2030.1030.16.........................................(2.3.4 )934.623434.1634.0834.13e. Cunnane: Tr=1038.463838.1238.0638.10..........................................( 2.3.5 )1142.314242.0842.0442.061246.154646.0446.0246.031350.005050.0050.0050.001453.855453.9653.9853.971557.695857.9257.9657.94n =15Tabel curah hujan mencari parameter statistikNoXi(Xi-X)(Xi-X)2(Xi-X)3(Xi-X)4165.96-18.06326.12-5889.276106352.864271.00-13.02169.39-2204.68328694.251373.77-10.24104.93-1074.87111010.532475.47-8.5573.02-623.9485331.690581.22-2.807.82-21.88061.199681.95-2.064.26-8.79018.140782.85-1.161.35-1.5761.834883.25-0.770.59-0.4510.346982.63-1.391.93-2.6713.7061085.131.121.251.3951.5591192.288.2668.30564.5064665.4291293.789.7695.30930.2769081.3241395.5111.50132.181519.60217470.5401496.5412.52156.821963.77024591.6461598.8914.88221.353293.14348994.510Total1260.2370923856-0.01364.599393341-1555.454256279.570Rata-rata84.015806159-0.0090.9732928894-103.69717085.305Standar deviasi=9.872759758Koefisien Variasi (Cv)Cv=Sd/X=0.1175107424Koefisien Kepencengan (Cs)=-0.1332174893Koefisien Kurtosis (Ck)=2.8Berdasarkan hasil perhitungan diperoleh nilai Cv = 0.127 ; Cs = -0.1332 dan Ck = 3.0 , maka jenis sebaran dipilihberdasarkan syarat-syarat seperti tercantum dalam tabel dibawah ini :AgihanSyaratPerhitungan1. NormalCs 0Cs = 1.7Ck = 3Ck = 4.52. Log NormalCs/Cv 3Cs/Cv = 3.7Cs = Cv+3CvCs = 1.43. GumbelCk = 5.4Ck = 4.5Cs =1.14Cs = 1.74. Log Pearson Tipe IIISelain syarat diatasAgihan yang dipilih adalah Log Pearson Type IIIBerdasarkan nilai Cs, Cv, dan Ck maka metode sebaran yang digunakan adalah Log Pearson Type IIITabel Analisis Log Pearson Type IIINoXilog Xi(log Xi - log X)(log Xi - log X)2(log Xi - log X)3165.961.8192613699-0.1050996290.011045932-0.00116092271.001.8512624455-0.0730985530.005343399-0.00039059373.771.8678928453-0.0564681540.003188652-0.00018006475.471.8777785181-0.0465824810.002169928-0.00010108581.221.9096568491-0.0147041500.000216212-0.00000318681.951.9135598685-0.0108011300.000116664-0.00000126782.851.9183032317-0.0060577670.000036697-0.00000022883.251.9203795435-0.0039814550.000015852-0.00000006982.631.9171289661-0.0072320330.000052302-0.000000381085.131.93009901890.0057380200.0000329250.000000191192.281.96510959140.0407485920.0016604480.000067661293.781.97209991130.0477389120.0022790040.000108801395.511.98006064810.0556996490.0031024510.000172811496.541.98470043480.0603394360.0036408480.000219691598.891.99516793350.0708069350.0050136220.00035500Total1260.237092385628.8224611758-0.04295380830.0379149345-0.0009136207Rata-rata84.0158061591.9214974117-0.00286358720.0025276623-0.000061Standar deviasi (Sd)=0.0520404613Koefisien kepancangan=-0.356181295-0.4Tabel harga K untuk distribusi Log Pearson Type III (Soemarto, 1999)KemencenganPeriode Ulang Tahun251025501002001000(Cs)Peluang (%)5020104210.50.10.5-0.0830.8081.3231.9102.3112.6863.0413.8150.4-0.0660.8161.3171.8802.2612.6152.9493.6700.3-0.0500.8241.3091.8492.2112.5442.8563.5250.2-0.0330.8301.3011.8182.1592.4722.7633.3800.1-0.0170.8361.2921.7852.1072.4002.6703.23500.0000.8421.2821.7512.0542.3262.5763.090-0.10.0170.8361.2701.7612.0002.2522.4822.950-0.20.0330.8501.2581.6801.9452.1782.3882.816-0.30.0500.8531.2451.6431.8902.1042.2942.675-0.40.0660.8551.2311.6061.8342.0292.2012.540-0.50.0830.8561.2161.5671.7771.9552.1082.400Hujan RancanganUntuk kala ulang 2 tahunLog X2=Log X + K2.Sd=1.9244+0.066x0.052=1.9278X2=84.6832Untuk kala ulang 5 tahunLog X5=Log X + K5.Sd=1.9244+0.855x0.052=1.9689X5=93.0798325535Untuk kala ulang 10 tahunLog X10=Log X + K10.Sd=1.9244+1.231x0.052=1.9884X10=97.36947016Untuk kala ulang 25 tahunLog X25=Log X + K10.Sd=1.9244+1.606x0.052=2.0079X25=101.8445936588Untuk kala ulang 50 tahunLog X50=Log X + K10.Sd=1.9244+1.834x0.052=2.0198X50=104.665416245Untuk kala ulang 100 tahunLog X100=Log X + K10.Sd=1.9244+2.029x0.052=2.0300X100=107.1398650183Untuk kala ulang 200 tahunLog X200=Log X + K10.Sd=1.9244+2.201x0.052=2.0389X200=109.3709675775Untuk kala ulang 1000 tahunLog X1000=Log X + K10.Sd=1.9244+2.540x0.052=2.0565X1000=113.9052576112Tabel Hujan Rancangan Metode Analitis (Log Pearson Type III)Kala UlangHujan Rancangan284.6832593.07981097.369525101.844650104.6654100107.1399200109.37101000113.9053Uji KecocokanUntuk mengetahui data tersebut benar sesuai dengan jenis sebaran teoritis yang dipilih sebelumnya maka perlu dilakukanpengujian kecocokan sebelum dilakukan pengujian.Ada 2 pengujian dalam menetukan kecocokan data yaituUji Chi-Kuadrat dan Uji Smirnov-Kolmogorov.a.Uji Chi-KuadratPenentuan jumlah kelask = 1+3.322 log nk = 1+3.322 log nk =4.90697516265Penentuan interval kelasIk =98.89-65.96=6.5874Sebaran analitisEi = n/kEi =3.0569Pembagian interval kelasInterval kelas I = data terkecil + interval kelas=65.96+6.587=72.54Interval kelas II = Interval kelas I + interval kelas=72.54+6.587=79.13Interval kelas III = Interval kelas II + interval kelas=79.13+6.587=85.72Interval kelas IV = Interval kelas III + interval kelas=85.72+6.587=92.31Interval kelas V = Interval kelas IV + interval kelas=92.31+6.587=98.89Tabel nilai jarak intervalIntervalOiEi(Oi-Ei)(Oi-Ei)2x 72.543.056930.060.00372.54 x 79.133.05694-0.940.88979.13 x 85.723.05694-0.940.88985.72 x 92.313.056921.061.11792.31 x 98.893.056921.061.117Total15150.284Derajat bebas (Dk)Dk=K - (P + 1)dengan P = banyaknya keterlibatan untuk chi kuadrat, P = 2=5 - (2 + 1)=2untuk = 5%syarat:X2 dihitung < X2 tabel (tabel nilai chi-kuadrat kritik)=0.26276346280.2627634628