tugas_numerik

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NAMA : RIZA PRAMANA NPM : 148110066 TUGAS : IRIGASI 1 SOAL DIKETAHUI : SALURAN IRIGASI PADA GAMBAR a = 2.2 L/dt/Ha 30 ha a c 25 ha a c 37 ha a c 40 ha a c 30 ha a c S2TS1 S1T1 S2TS2 S3TS2K a1 S3TSIK a S3TS1K i S3TS2K i S3TS2K a1 S. TU N TU N G A N 35 ha a c 15 ha a c S3TS3K a S3TS3K i 15 ha a c S3TS3K i2 36 ha a c S3TS4K i 35 ha c S1T2 a S1T3 S2TS3 S2TS4 35 ha a c S3M 1K a1 40 ha c a S2M 1 S2M 2 44 ha a c S3M 1K a2 35 ha a c S3M 2K a S3M 2K i 25 ha a c S3M 3K a1 16 ha c a S2M 3 S2M 4 50 ha a c S3M 3K a2 25 ha a c S3M 4K a S3M 4K i S1T4 BG BG BG BG S3TS4K a

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irigasiNAMA :RIZA PRAMANANPM:148110066TUGAS :IRIGASI 1

SOALDIKETAHUI : SALURAN IRIGASI PADA GAMBARa = 2.2 L/dt/Ha

DITANYA : TENTUKAN DIMENSI SALURAN DENGAN MENGGUNAKAN TABEL LENGKUNG TEGAL?Jawab:Penyelesaian:Saluran Primer S1T1 dengan Luas Area = 568 HaKebutuhan Air Normalnya = 2,2 lt/detdi dapat dari tabel Lengukng Tegal Nilai c nya sebesar 0,82Maka di dapat debit airnya (Q) = AxaxcQ=568x2,2x0,82Q=1024.672l/detQ=1.024672m3/detRencana Saluran Pasangan Beton Dengan nilai koefesien kekasaran Stickler (k) = 70 di dapat dari tabelKecepatan Maksimum untuk saluran pasangan beton = 0,3 m/sdari tabel karakteristik saluran didapatn:m=1:1b/h=1,5k (koefesien Stickler)=40F=Q/VF =(b+mh)xh =(1,5h+h)hF= 2,5h2F=1,024672/0.3F=3.4155733333M2F= 2,5h23.4155733333=2,5H2h=(3,41557333/2,5)^0.5h=1.168m=1,2 m

F =(b+mh)xh 3,415573=(b+1x1,2)1,2b=(3,415573-1,2)/1,2b=1,8m

KelilingK=(b+2h)1+m2K=(1,8++2x1,2)1+12K=5.2m

Jari-jari hidrolis (R) =F/KR = 3,415573/5,2R=0.6568409615m

Kemiringan Saluran (I) =[v/(R2/3xk)]2I =[0,3/(0,656842/3x40)]2I=0.0000321687m

NoNama SaluranLuas ArealKebutuhan Air NormalKoef. Lengkung TegalDebit airkemiringan taludLebar dasar saluranTinggi saluranb/hLuas saluranKeliling saluranKecepatanJari-Jari hidroliskoefesien kekasaran salurankemiringan saluranAacQmnbhFKVRkIHal/det/Ham3/detmmmmTabelm2mm/detmTabelmSALURAN PRIMER1S1T15682.20.821.0247111.201.801.53.4165.2000.3000.657703.217E-052S1T24062.20.8490.7583111.411.051.32.5284.5080.3000.561700.0000403S1T32702.20.9030.5364110.980.901.21.7883.7860.3000.472700.0000504S1T41162.21.0050.2565110.370.621.20.8552.6180.3000.327700.000082SALURAN SEKUNDER115S2TS11622.20.970.3457110.590.721.21.1523.0400.3000.379700.0000676S2TS21072.21.080.2542110.300.6510.8472.6040.3000.325700.0000827S2TS31362.21.010.3022110.420.7111.0072.8390.3000.355700.0000738S2TS4862.21.1650.2204110.210.6110.7352.4240.3000.303700.0000909S2M11542.20.980.3320110.560.711.21.1072.9790.3000.372700.00006910S2M21192.21.0450.2736110.350.6810.9122.7010.3000.338700.00007811S2M31162.21.0050.2565110.310.6510.8552.6150.3000.327700.00008212S2M4912.21.140.2282110.230.6210.7612.4670.3000.308700.000088SALURAN TERSIER1113S3TS1Ki302.21.690.1115110.260.5010.3722.2560.3000.165700.00020314S3TS1Ka1252.21.80.0990110.270.4510.3302.1670.3000.152700.00022615S3TS1Ka2302.21.690.1115110.260.5010.3722.2560.3000.165700.00020316S3TS2Ki372.21.570.1278110.200.5310.4262.2560.3000.189700.00017017S3TS2Ka402.21.530.1346110.210.5710.4492.3530.3000.191700.00016718S3TS3Ka152.22.0950.0691110.340.3510.2302.0420.3000.113700.00033719S3TS3Ki352.21.60.1232110.180.5010.4112.1790.3000.188700.00017020S3TS3Ki2152.22.0950.0691110.340.3510.2302.0420.3000.113700.00033721S3TS4Ki362.21.590.1259110.210.5310.4202.2680.3000.185700.00017422S3TS4Ka352.21.60.1232110.250.5510.4112.3530.3000.175700.00018823S3M1Ka352.21.60.1232110.250.5510.4112.3530.3000.175700.00018824S3M2Ka1442.21.4850.1437110.200.4010.4791.9980.3000.240700.00012325S3M2Ka2352.21.60.1232110.230.5310.4112.2850.3000.180700.00018126S3M2Ki402.21.530.1346110.210.5710.4492.3530.3000.191700.00016727S3M3Ka252.21.80.0990110.270.4510.3302.1670.3000.152700.00022628S3M4Ka502.21.420.1562110.300.4010.5212.1020.3000.248700.00011829S3M4Ka2252.21.80.0990110.270.4510.3302.1670.3000.152700.00022630S3M3Ki162.22.060.0725110.300.3510.2422.0000.3000.121700.000307

numerik t1NAMA = RIZA PRAMANANPM = 148110066TUGAS = NUMERIK DAN METODE KOMPUTASIno12345678910Totalx46810141620222428152y301822281422168208186y = 28.58-0.6569xx123456789101112131415161718192021222324252627282930y27.923127.266226.609325.952425.295524.638623.981723.324822.667922.01121.354120.697220.040319.383418.726518.069617.412716.755816.098915.44214.785114.128213.471312.814412.157511.500610.843710.18689.52998.873Y= 28.58-0.6569X

numerik t2NAMA = RIZA PRAMANANPM = 148110066TUGAS = NUMERIK DAN METODE KOMPUTASIy=aebxnxiyiqi=xipi=lnyqi.piqi2110.51-0.6931471806-0.69314718061221.720.53062825111.06125650214333.431.22377543163.67132629499445.741.74046617486.961864699416558.452.128231705810.6411585292251519.7154.929954382821.64245884555

B=qipi -qipinqi2-(qi)2B=-52.3150B=-1.0461371379

A==Pr-B.qr0.9859908766--3.13841141384.1244022904

P=4.1244022904+-1.0461371379q

A=lna4.1244022904= lnaa=61.8jadiy=61,8e-1,0461xy=61,8e-1,0461xx1234567891011121314y21.71065957237.62706697512.67942806850.9412969360.33068248110.11617046560.04081128530.01433721560.0050367380.00176943210.00062161060.0002183750.00007671630.0000269508

numerk t3NAMA = RIZA PRAMANANPM = 148110066TUGAS = NUMERIK DAN METODE KOMPUTASI1. Metode Kuadrat Terkecil1.1Persamaan BerpangkatTotalno1234567891010x2.53.5567.51012.51517.52099.5y53.421.61.20.80.60.40.30.315.6xi.yi12.511.9109.6987.565.25685.75xi26.2512.25253656.25100156.25225306.254001323.25

Yr =y/n=30/10=1.56xr=x/n=99,5/10=9.95b=nyixi-yixinxi2 -(xi)2

=-694.73332.25b=-0.2084777553

a=yr-b.xr=3.6343536649

y=3.634-0.2084777553xy = 3,6344-0,2084778xx1234567891011121314151617181920y3.42587590973.21739815443.00892039912.80044264392.59196488862.38348713332.1750093781.96653162281.75805386751.54957611221.3410983571.13262060170.92414284640.71566509120.50718733590.29870958060.0902318253-0.1182459299-0.3267236852-0.53520144051.2Fungsi Eksponennxiyiqi=Ln xiPi=Ln yiqi.piq212.550.91629073191.60943791241.47471304270.839588705323.53.41.25276296851.22377543161.53310054251.56941505523521.60943791240.69314718061.11557735132.590290394461.61.79175946920.47000362920.84213345333.210401995657.51.22.01490302050.18232155680.36736025554.05983418226100.82.302585093-0.2231435513-0.51380701495.3018981105712.50.62.5257286443-0.5108256238-1.29020691026.37930518478150.42.7080502011-0.9162907319-2.48136130077.3335358917917.50.32.8622008809-1.2039728043-3.44601202128.192193882810200.32.9957322736-1.2039728043-3.60678018648.97441185481099.515.620.97945119550.120480195-6.005282788148.4508752567

B=nqipi -qipinqi2-(qi)2B=-62.5844.3713801047B=-1.4103784039

A==Pr-B.qr0.0120480195--2.95889648932.9709445088

P=2.9709445088+-1.4103784039q

A=lna2.9709445088= lnaa=19.5103385823jadiy=19,51e-1,4104xx1234567891011121314151617181920y4.76151599951.16205234050.2835999380.06921282460.01689145320.00412237460.00100606930.00024553210.00005992230.00001462410.0000035690.0000008710.00000021260.00000005190.00000001270.00000000310.00000000080.0000000002001.3Persamaan Berpangkatnxiyiqi=LogxiPi=Logyiqi.piq212.550.39794000870.69897000430.27814812960.158356250523.53.40.54406804440.5314789170.2891606950.29601003693520.69897000430.30102999570.21041093740.488559067461.60.77815125040.20411998270.15883621970.605519368557.51.20.87506126340.0791812460.06928844120.76573221476100.81-0.096910013-0.0969100131712.50.61.096910013-0.2218487496-0.24334811481.20321157668150.41.1760912591-0.3979400087-0.46801376581.3831906496917.50.31.2430380487-0.5228787453-0.64995817521.545143590510200.31.3010299957-0.5228787453-0.68028093171.69267904961099.515.69.11125988750.0523238839-1.13266657779.1384018039

B=nqipi -qipinqi2-(qi)2B=-11.808.3689613003B=-1.4103784039

A==Pr-B.qr0.0052323884--1.28503241781.2902648062

P=1.2902648062-1.4103784039q

A=loga1.2902648062= logaa=19.5103385823jadiy=19,51x-1,4104x1234567891011121314151617181920y19.5107.3404.1432.7612.0161.5591.2541.0390.87987662190.7583791810.66299011470.58642284810.52382130580.47183546010.42808606740.3908408840.35881138970.3310210210.30671735010.2853121047

2. Polinomialy=a0+a1x+a2x2nxiyixi2xi3xi4xiyixi2yi1.002.505.006.2515.6339.0612.5031.252.003.503.4012.2542.88150.0611.9041.653.005.002.0025.00125.00625.0010.0050.004.006.001.6036.00216.001,296.009.6057.605.007.501.2056.25421.883,164.069.0067.506.0010.000.80100.001,000.0010,000.008.0080.007.0012.500.60156.251,953.1324,414.067.5093.758.0015.000.40225.003,375.0050,625.006.0090.009.0017.500.30306.255,359.3893,789.065.2591.8810.0020.000.30400.008,000.00160,000.006.00120.0010.0099.5015.601,323.2520,508.88344,102.3185.75723.631099.51323.25a0=15.699.51323.2520508.875a185.751323.2520508.875344102.3125a2723.62519.95132.33a01.560333.2257342.54a1=-69.4707342.5375169003.25625a2-1340.645

10-86.92100a03.63435366490122.03477a1=-0.2084777553007212.1033085753a2190.1107359892

100a05.9255875221010a1=-0.7893133538001a20.0263599574y=a0+a1x+a2x2y=5.9255875221-0.7893133538x+0.0263599574x2x1234567891011121314151617181920y5.1634.4523.7953.1902.6382.1391.6921.2980.9570.6680.4330.2500.1190.0420.0170.0450.1250.2590.4450.683y=a0+a1x+a2x2+a2x3nxiyixi2xi3xi4xi5xi6xiyixi2yixi3yi12.556.2515.62539.062597.65625244.14062512.531.2578.12523.53.412.2542.875150.0625525.218751838.26562511.941.65145.775352251256253125156251050250461.63621612967776466569.657.6345.657.51.256.25421.8753164.062523730.46875177978.515625967.5506.256100.81001000100001000001000000880800712.50.6156.251953.12524414.0625305175.781253814697.2656257.593.751171.8758150.4225337550625759375113906256901350917.50.3306.255359.37593789.06251641308.5937528722900.3906255.2591.8751607.812510200.34008000160000320000064000000612024001099.515.61323.2520508.875344102.31256041113.71875109170564.57812585.75723.6258655.43751099.51323.2520508.875a0=15.699.51323.2520508.875344102.3125a185.751323.2520508.875344102.31256041113.71875a2723.62520508.875344102.31256041113.71875109170564.578125a38655.437519.95000132.325002050.888a0=1.560333.225007342.53750140039.006a1-69.4707342.54169003.263327276.834a2-1340.6450140039.013327276.8367109169.202a3-23338.4075

10-86.92100-2130.63583a0=3.63435366490122.03477420.25360a1-0.2084777553007212.10331241549.00827a2190.110735989200241549.018257272.5207a35856.6101733063

10-0780.53727a0=5.9255875042010-317.73884a1-0.78931345400133.49217a20.0263599574000167271.46318a3-510.6113946883

10-0-0a0=8.3082487077010-0a1-1.75924025080010a20.12859786810001a3-0.0030525912y=a0+a1x+a2x2+a2x3y=8.3082487077-1.7592402508x +0.1285978681x2 -0.0030525912x3x1234567891011121314151617181920y6.6755.2804.1053.1332.3451.7231.2480.9020.6660.5230.4540.4410.4650.5080.5520.5780.5690.5050.3690.142