analisis hidrologiUji Sebaran Metode Chi KuadratTahunP maks (mm)(xi)(xi - Xr)(xi - Xr)2(xi - Xr)3(xi - Xr)4JenisDistribusiSyaratPerhitunganKesimpulanNilai batas tiap kelasEfOf( Ef-Of)2( Ef-Of)2 / Ef 1991100-7.10050.410-357.9112541.168NormalCs 0Cs = -0,225tidak memenuhi81 < Ri < 914241199289-18.100327.610-5929.741107328.312Ck 3Ck = 28,46491 < Ri < 101464119931124.90024.010117.649576.480GumbelCs 1,1396Cs = -0,225tidak memenuhi101 < Ri < 111440019941102.9008.41024.38970.728Ck 5,4002Ck = 28,464111 < Ri < 1214641199596-11.100123.210-1367.63115180.704Log PersonCs 0Cs = -0,225memenuhi121 < Ri < 1314241199698-9.10082.810-753.5716857.496Log NormalCs 3Cv + Cv2 = 33Cv + Cv2 = 0,336tidak memenuhiJumlah2020419971157.90062.410493.0393895.00819981179.90098.010970.2999605.960Dengan melihat hasil dari tabel diatas , maka di gunakan metode Log Person 1999105-2.1004.410-9.26119.448200011911.900141.6101685.15920053.3922001101-6.10037.210-226.9811384.58420021091.9003.6106.85913.03220031168.90079.210704.9696274.224200492-15.100228.010-3442.95151988.56020051113.90015.21059.319231.344200686-21.100445.210-9393.931198211.944200799-8.10065.610-531.4414304.672200811810.900118.8101295.02914115.816200912618.900357.2106751.269127598.984201012315.900252.8104019.67963912.896jumlah21422525.800-5885.760634164.754Xr = xi / n107.100

TahunR max(mm)mP(Xm)(%)201012614.762200912329.5242008119314.2862007118419.0482006117523.8102005116628.5712004115733.3332003112838.0952002111942.85720011101047.61920001091152.38119991051257.14319981011361.90519971001466.6671996991571.4291995981676.1901994961780.9521993921885.7141992891990.4761991862095.238

Log Person

Log (X tr)=2.030TahunP maks (mm)(xi)Log Xi(Log Xi - Xtr)(Log Xi - Xtr)2(Log Xi - Xtr)3Deviasi standar (Sx)=0.047819911002.0000-0.02980.0009-0.0000264Koefisien Skewness (Cs)=-0.2251992891.9494-0.08040.0065-0.000519719931122.04920.01940.00040.0000073Log R = Log Xtr + k . S19941102.04140.01160.00010.00000161995961.9823-0.04750.0023-0.0001073Harga k tergantung nilai Cs yang sudah didapat, seperti terdapat pada Tabel 3.61996981.9912-0.03860.0015-0.0000573untuk Cs = -0,225 dengan periode ulang 100 tahun, nilai k = 2,47219971152.06070.03090.00100.000029519981172.06820.03840.00150.0000566log R = 2,029 + ( 2,472 * 11,53)=2.14819991052.0212-0.00860.0001-0.0000006R =140.551mm20001192.07550.04580.00210.000095820011012.0043-0.02550.0006-0.000016520021092.03740.00760.00010.000000420031162.06450.03470.00120.00004172004921.9638-0.06600.0044-0.000287520051112.04530.01550.00020.00000372006861.9345-0.09530.0091-0.00086532007991.9956-0.03420.0012-0.000039820081182.07190.04210.00180.000074620091262.10040.07060.00500.000351620101232.08990.06010.00360.0002173jumlah21420.0433-0.0010404Xtr =107.1Log Xtr =2.030

Sx =akar (1/n 0,0433 )=0.0478C = 0.75A =172.8km2R24/24t ( jam )R 24 (100 thn)IQ = 0,278 C.I.ADistribusi( mm )(mm/jam)(m3/det)30%40%30%5.85630465458.32915412031140.55148.7781757.415527.225702.966527.2255.85630465455.24582611882140.55130.7211106.846332.054442.739332.0545.85630465454.00277354993140.55123.441844.568253.370337.827253.3705.85630465453.30389992444140.55119.349697.108209.133278.843209.1335.85630465452.84700287255140.55116.673600.705180.212240.282180.2125.85630465452.52100678326140.55114.764531.921159.576212.769159.5765.85630465452.27468102877140.55113.321479.948143.984191.979143.9845.85630465452.08084569788140.55112.186439.049131.715175.620131.7155.85630465451.92362824129140.55111.265405.877121.763162.351121.7635.85630465451.793085085610140.55110.501378.333113.500151.333113.5005.85630465451.682642977111140.5519.854355.030106.509142.012106.5095.85630465451.587767861912140.5519.298335.012100.504134.005100.5045.85630465451.505222433213140.5518.815317.59595.279127.03895.2795.85630465451.432628209314140.5518.390302.27890.683120.91190.6835.85630465451.368195092815140.5518.013288.68386.605115.47386.6055.85630465451.310547812316140.5517.675276.52082.956110.60882.9565.85630465451.258610839417140.5517.371265.56179.668106.22579.6685.85630465451.211529901518140.5517.095255.62876.688102.25176.6885.85630465451.168617125519140.5516.844246.57373.97298.62973.9725.85630465451.129311865220140.5516.614238.28071.48495.31271.484

R Rancangan (Log Pearson)Hujan Rancangan DTH Check Dam Ciliman (Pearson Type III)

NoKala UlangHujan RerataKoef. Skew.Simpangan BakuFaktor Frek.R =90% hujanTr (th)Rr (mm)CsSdKRr + Sd.KRancangan

1293.001.8732.90-0.0292.2583.022593.001.8732.900.83120.43108.3931093.001.8732.901.30135.70122.1342593.001.8732.901.81152.41137.1755093.001.8732.902.14163.40147.06610093.001.8732.902.45173.46156.11

Intensitas Hujuan Jam-jaman DTH Check Dam Ciliman

Kala UlangHujan Rancangan90 % Hujan Ranc. Intensitas Hujan (mm/jam)Peluang (%)(tahun)(mm)(mm)Jam ke I (10%)Jam ke II (40 %)Jam ke III (40 %)Jam ke IV (10 %)

292.24683.0218.302131058633.208524234433.20852423448.3021310586505120.433108.38910.838925216443.355700865843.355700865810.83892521642010135.695122.12612.212560610348.85024244148.85024244112.21256061031025152.413137.17213.717166478754.868665914754.868665914713.7171664787450163.401147.06114.706092759658.824371038558.824371038514.70609275962100173.456156.11015.611011978362.444047913262.444047913215.61101197831

Q = 0.278*C*I*A

tipe tanah tanah pasir berbatu, curamC0.15 - 0.20diambil 0.175

ALuas DASA19.151km2191510m2

I = (R24 /24)*(24/t)^(2/3)36.7652318991R2458.8242t4jam20.23268683660.02023268680.00000562021440080.7887846991I8.09307473460.0080930747Q75.4028657192m3/detik

&"Times New Roman,Regular"&12III - 32

HSS1. Menentukan IndeksVol. Limpasan langsung = Vol. Hujan effektif (VLL = Pef . A)

1. menentukan Indeksjam keDebit (m3/det)Debit (m3/det)Vol. Limpasan langsung = Vol. Hujan effektif (VLL = Pef . A)010.0319.97130t = 360069.97280A =172.8km2119.973130172800000mm179.974190 Pef =29.991209.975220194.97620525179.977190204515.0097.504375149.978160156030.0087510.0029166667119.979130107040.0087510.002187589.971010059.97117029.9712409.9713204.97141501510.0301610.031710.03total1439.58VLL (m3)5182488VLL (mm)5182488000Tabel Hitungan Hidrograf Satuan

tQHBFQHLLU9,997(t)U14,997 (t-1)U 4,997 (t-2)UH = U1 (t)010.0310.0300--2. Menentukan hujan effektif13010.0319.9719.9740-1.99828010.0369.9740.00829.96404.002Hujan effektif = hujan - Indeks313010.03119.9749.96560.0189.9844.998419010.03179.9785.01474.95519.9988.504R1 effektif = 20 - 10,003=9.997522010.03209.9757.463127.53424.9755.748R2 effektif = 25 - 10,003=14.997620510.03194.9766.27086.20342.4946.629R3 effektif = 15 - 10,003=4.997719010.03179.9751.83499.41528.7235.185816010.03149.9739.07877.75933.1253.9093. Menentukan ordinat Hidrograf Satuan (HS)913010.03119.9735.43958.62325.9093.5451010010.0389.9717.27553.16419.5331.728a) Jumlah ordinat HS =( m-n +1)117010.0359.9716.34525.91517.7141.635=(14 - 3 + 1)124010.0329.979.94724.5208.6350.995=12132010.039.970.00014.9228.170141510.034.970.0004.9721510.0310.03001610.0310.0301710.0310.030

Sheet2b) Menghitung ordinat HSt (jam)1234567891011121314R19.997U19.997U29.997U39.997U49.997U59.997U69.997U79.997U89.997U99.997U109.997U119.997U12R2-14.997U114.997U214.997U314.997U414.997U514.997U614.997U714.997U814.997U914.997U1014.997U1114.997U12R3--4.997U14.997U24.997U34.997U44.997U54.997U64.997U74.997U84.997U94.997U104.997U114.997U12HLL19.9769.97119.97179.97209.97194.97179.97149.97119.9789.9759.9729.979.974.97

9,997 U1 = 19,97U1=U1 =1.998U11.998U75.185U24.002U83.9099,997 U2 + 14,997 U1 = 69,97U2 =4.002U34.998U93.545U48.504U101.7289,997 U3 + 14,997 U2 + 4,997 U1 = 119,97U3 =4.998U55.748U111.635U66.629U120.9959,997 U4 + 14,997 U3 + 4,997 U2 = 179,97U4 =8.504DST,,

GAMMA IHidrograf Banjir Gamma I Kala Ulang 100 Tahun

ParameterNilaie - t/kt(jam)Qt (m3/det)t (jam)HujanIntensitasU(t,1)t1t2t3QbQA = LUAS ( km2)86.031001.008Rancangan (mm)jam ke-1jam ke-1jam ke-1(m3/det)totalL =panjang sungai (km)17.030.7506689889-0.286790484811.00830%40%30%(m3/det)JN = jumlah pertemuan sungai220.5635039309-0.573580969620.7571234567 = 3*68 = 4*69 = 4*61011 = 7+8+9+10SN = frekuensi sumber0.7380.4230049261-0.860371454430.5680140.55142.16556.22142.1651.00842.52360275818.73851.2615351846SF = faktor sumber0.660.3175366802-1.147161939240.4271140.55142.16556.22142.1651.00842.523602758156.69813701088.738107.9596721953D = kerapatan jaringan kuras1.0450.2383649387-1.433952423950.3202140.55142.16556.22142.1650.75731.921149888256.698137010842.52360275818.738139.8808220836RUA = luas relatif DAS0.4320.1789331675-1.720742908760.2403140.55142.16556.22142.1650.56823.962217312242.561533184342.52360275818.738117.7852856811WF = faktor lebar0.6340.1343195799-2.007533393570.1804140.55142.16556.22142.1650.42717.987693442431.94962308331.92114988828.73890.5963988401SIM = faktor simetri0.2740.1008295433-2.294323878380.1355140.55142.16556.22142.1650.32013.502803649623.983591256523.96221731228.73870.1865446449S = kemiringan sungai0.006780.0756896113-2.581114363190.1026140.55142.16556.22142.1650.24010.136135963518.003738199517.98769344248.73854.8655000318Lc8.030.056817844-2.8679048479100.0767140.55142.16556.22142.1650.1807.608882935413.514847951313.50280364968.73843.3644669628Ct1.50.0426513935-3.1546953327110.0578140.55142.16556.22142.1650.1355.7117524610.145177247210.13613596358.73834.7309980971Cp0.170.0320170784-3.4414858175120.0439140.55142.16556.22142.1650.1024.28763544427.61566994677.60888293548.73828.25012075280.0240342279-3.7282763023130.03210140.55142.16556.22142.1650.0763.21859496385.71684725895.711752468.73823.38512710930.0180417496-4.015066787140.02411140.55142.16556.22142.1650.0572.41609942734.29145995184.28763544428.73819.73312724970.0135433819-4.3018572718150.01812140.55142.16556.22142.1650.0431.81369091423.2214659033.21859496388.73816.9916842076TR =O,43 L 1+ 1,0665SIM + 1,275=1.577jam0.0101665968-4.5886477566160.01413140.55142.16556.22142.1650.0321.36148152482.41825455232.41609942738.73814.9337679309100SF0.0076317489-4.8754382414170.01014140.55142.16556.22142.1650.0241.02202195971.81530869981.81369091428.73813.38895400020.0057289173-5.1622287262180.00815140.55142.16556.22142.1650.0180.76720019121.36269594631.36148152488.73812.2293100887TB =27,4132 TR 0,1457 S -0,0986 SN 0,7344 RUA 0,2574 = 30.896jam0.0043005205-5.449019211190.00616140.55142.16556.22142.1650.0140.57591339181.02293358821.02202195978.73811.35880136620.0032282674-5.7358096958200.00417140.55142.16556.22142.1650.0100.43232032350.76788452240.76720019128.73810.7053374636K =0,5617 A 0,1793 S -0,1146 SF -1,0897 D 0,0452 = 3.487jam18140.55142.16556.22142.1650.0080.32452946020.57642709810.57591339188.73810.21480237651/SFL/10019140.55142.16556.22142.1650.0060.24361420170.43270594690.43232032358.7389.8465728986Qp =0,1836 A 0,5886 TR -0,4008 JN 0,7344 = 1.008m3/detSIM*1.06650.2922211.51515151520.17030.01717956420140.55142.16556.22142.1650.0040.18287362650.32481893570.32452946028.7389.5701544488TR ^ 0.14571.069QB =0,475 A 0,6444 D 0,9430 = 8.738m3/detS^-0.09861.6362164409TR =1.577SN^0.73440.8000195356Qt =Qp . e-(t/K) RUA^0.25740.8057002834TB =30.896A^0.588613.7636919709TR^-0.40080.833Qp =1.008JN^-0.23810.47903711121A^0.644417.6477121051QB =8.738D^0.9431.0423814206A^0.17932.2227096303K =3.487S^-0.11461.772315669SF^-1.08971.57268945D^0.04521.0019915437

t (jam)U (t,1)01.00811.00820.75730.56840.42750.32060.24070.18080.13590.102100.076110.057120.043130.032140.024150.018160.014170.010180.008190.006200.004

SNYDERHidrograf Banjir Gamma I Kala Ulang 100 TahunParameterNilait(jam)XYQR effQ total(1-X) ^2((1-X) ^2)/XA = LUAS ( km2)86.03(m3/det/mm)20 mm25 mm15 mm(m3/det)t (jam)HujanIntensitasU(t,1)t1t2t3QL =panjang sungai (km)17.0300000 - -01ERROR:#DIV/0!ERROR:#DIV/0!Rancangan (mm)jam ke-1jam ke-1jam ke-1totalJN = jumlah pertemuan sungai2210.22170.70850.638512.77030.0000 -12.77030.60579890272.7328966898-0.149678590330%40%30%(m3/det)SN = frekuensi sumber0.73820.44330.91560.825216.504315.96280.000032.46720.30987223490.6989520789-0.03828105261234567 = 3*68 = 4*69 = 4*611 = 7+8+9SF = faktor sumber0.6630.66500.97890.882317.645620.63049.577747.85370.11221999650.1687499793-0.00924230290140.55142.16556.22142.16512.770538.4637495668538.4637495668D = kerapatan jaringan kuras1.04540.88670.99820.899617.992322.057012.378252.42750.01284218750.0144835075-0.00079325031140.55142.16556.22142.16532.4671368.991179727717.9516660892086.942845816RUA = luas relatif DAS0.43251.10830.99870.900118.001122.490313.234253.72560.01173880810.0105912868-0.00058007642140.55142.16556.22142.16547.8542017.77113801911825.3215729694538.46374956684381.5564605552WF = faktor lebar0.63461.33000.98970.892017.840022.501413.494253.83550.1089098580.0818861917-0.0044848423140.55142.16556.22142.16552.4282210.62667901892690.36151735881368.9911797276269.9793761047SIM = faktor simetri0.27471.55170.97560.879217.584722.300013.500853.38550.30435533750.1961451683-0.01074271574140.55142.16556.22142.16553.7262265.36181724762947.50223869192017.77113801917230.6351939585S = kemiringan sungai0.0067881.77340.95840.863717.274621.980913.380052.63550.59807524630.3372566898-0.01847128225140.55142.16556.22142.16553.8362269.99606857283020.48242299682210.62667901897501.1051705885Lc (km)8.0391.99500.93930.846616.931621.593213.188651.71340.99006958470.4962699079-0.02718031046140.55142.16556.22142.16553.3862251.02176795893026.66142476382265.36181724767543.0450099702Ct1.5102.21670.91920.828516.569321.164512.955950.68971.48033835250.6678143135-0.03657566187140.55142.16556.22142.16552.6352219.3964699823001.36235727852269.99606857287490.7548958334Cp0.17112.43840.89850.809816.196020.711612.698749.60632.06888154970.8484723101-0.04647015748140.55142.16556.22142.16551.7132180.51655625432959.19529330942251.02176795897390.7336175226122.66000.87750.790915.817620.245012.426948.48962.75569917641.0359655-0.05673901119140.55142.16556.22142.16550.6902137.35251971162907.3554083392219.3964699827264.1043980328tp = 4.011132.88170.85650.771915.437719.772012.147047.35673.54079123261.2287165308-0.067295832610140.55142.16556.22142.16549.6062091.67063495872849.80335961552180.51655625437121.9905508286Tp' =4.511143.10340.83550.753015.059119.297111.863246.21954.42415771821.4255987223-0.078078914511140.55142.16556.22142.16548.4902044.58175504522788.8941799452137.35251971166970.8284547018te =0.729< Tr , jadiTp = 4.511153.32500.81460.734214.683718.823911.578345.08595.40579863321.6257858424-0.089043004812140.55142.16556.22142.16547.3571996.81441818172726.10900672692091.67063495876814.5940598673163.54670.79400.715614.312818.354611.294443.96186.48571397771.8286582171-0.100154164313140.55142.16556.22142.16546.2191948.86174985282662.41922424232044.58175504526655.8627291402q'p =0.010173.76840.77380.697413.947417.891011.012842.85127.66390375172.0337419777-0.111386439714140.55142.16556.22142.16545.0861901.06548031432598.4823331371996.81441818176496.362231633Qp =0.9013183.99000.75380.679413.588117.434210.734641.75698.94036795512.2406685601-0.122719644915140.55142.16556.22142.16543.9621853.66644918862534.75397375241948.86174985286337.2821727937194.21170.73430.661813.235516.985110.460540.681210.3151065882.4491469923-0.134137843816140.55142.16556.22142.16542.8511806.8362439162471.55526558471901.06548031436179.456989815 =0.04734.0657778204.43340.71510.644512.889916.544410.191139.625411.78811965032.6589444969-0.145628287217140.55142.16556.22142.16541.7571760.69772147162409.1149918881853.66644918866023.479162548186.03214.65510.69630.627612.551616.11249.926638.590613.35940714212.869872635-0.157180654518140.55142.16556.22142.16540.6811715.33872139732347.59696196211806.8362439165869.7719272754a =0.05480.0022335076224.87670.67800.611012.220615.68959.667437.577515.02896906333.0817772293-0.168786501519140.55142.16556.22142.16539.6251670.82146789532287.11829519641760.69772147165718.63748456330.007089235.09840.66000.594911.897115.27579.413736.586516.7968054143.2945309158-0.180438852720140.55142.16556.22142.16538.5911627.18916252032227.76195719381715.33872139735570.28984111140.0026802091245.32010.64250.579111.581014.87139.165435.617818.66291619423.5080275582-0.1921318949255.54170.62540.563611.272414.47638.922834.671520.62730140383.7221780016-0.2038607454265.76340.60870.548610.971314.09068.685833.747622.68996104283.9369068076-0.2156212722275.98510.59240.533910.677513.71418.454332.845924.85089511134.1521497136-0.227409956286.20670.57650.519510.390913.34698.228531.966327.11010360934.3678516374-0.2392237797296.42840.56100.505610.111612.98878.008131.108429.46758653674.5839650945-0.2510601429306.65010.54590.49209.839312.63957.793230.271931.92334389364.8004489315-0.2629167914

NAKAYASU

L =17.03Keterangant (jam)Q (m3/det/mm)R effektifQ totalt/2,221(t-2,221)2,776t- 2,221 +2,7761,5*2,776tg =1.38820 mm25 mm15 mm(m3/det)tr =1.041kurva naik000--000.5554.1640.13328530261.9430.4666186359Hidrograf Banjir Gamma I Kala Ulang 100 TahunTp =2.2210 < t < 2,22111.0350120.70010.0000-20.70010.45248868781.5554.1640.3734390012.9430.7067723343T 0.32.77625.46280109.256025.87520.0000135.13110.90497737562.5554.1640.61359269933.9430.9469260327t (jam)HujanIntensitasU(t,1)t1t2t3QQp =6.942kurva turun34.9517099.0341136.570015.5251251.12910.28061959653.5554.1640.85374639774.9431.187079731Rancangan (mm)jam ke-1jam ke-1jam ke-1totala) 2,221 < t 9,161100.219684.393646.499437.253888.146710.5554.1642.534822286311.9432.8681556196442.16512.65016.86612.650269.9193414.36819079884235.58309829661709.35714461269359.3084110.164523.29045.492027.899736.682011.5554.1642.774975984612.9433.108309318542.16512.65016.86612.650272.7623450.32930374264552.49092106513176.687323722411179.5075120.123212.46424.11303.29529.872312.5554.1643.01512968313.9433.3484630163642.16512.65016.86612.650284.5213599.07787055034600.43907165683414.368190798811613.8851130.092271.84553.08022.46787.393513.5554.1643.255283381414.9433.5886167147742.16512.65016.86612.650265.7213361.26638360544798.77049406713450.329303742611610.3662140.069101.38212.30681.84815.537014.5554.1643.495437079715.9433.8287704131842.16512.65016.86612.650199.0012517.28082477854481.68851147383599.077870550310598.0472150.051751.03501.72761.38414.146715.5554.1643.735590778116.9434.0689241114942.16512.65016.86612.650149.0331885.21290121633356.3744330383361.26638360548602.8537160.038760.77521.29381.03663.105516.5554.1643.975744476517.9434.30907780981042.16512.65016.86612.65088.1471115.02251483512513.61720162182517.28082477856145.9205170.029030.58050.96890.77632.325817.5554.1644.215898174818.9434.54923150821142.16512.65016.86612.65036.682464.0130770131486.69668644681885.21290121633835.9227180.021740.43480.72570.58141.741818.5554.1644.456051873219.9434.78938520651242.16512.65016.86612.6509.872124.8812888424618.68410268411115.02251483511858.5879190.016280.32560.54340.43541.304419.5554.1644.696205571620.9435.02953890491342.16512.65016.86612.6507.39393.5246534788166.5083851232464.013077013724.0461200.012190.24380.40700.32610.976920.5554.1644.936359269921.9435.26969260331442.16512.65016.86612.6505.53770.0414040359124.6995379717124.8812888424319.62221542.16512.65016.86612.6504.14752.454599903293.388538714593.5246534788239.36781642.16512.65016.86612.6503.10639.283693536469.939466537670.0414040359179.26461742.16512.65016.86612.6502.32629.419890356852.378258048552.4545999032134.25271842.16512.65016.86612.6501.74222.032804726139.226520475739.2836935364100.54301942.16512.65016.86612.6501.30416.500553816129.377072968129.419890356875.29752042.16512.65016.86612.6500.97712.357404317122.000738421522.032804726156.3909