SOAL 3 HSS GAMMA I revisi.docx

C. HSS GAMMA IHSS ini dikembangkan oleh Sri Harto yang diturunkan berdasarkan teori hidrograf satuan sintetik yang dikemukakan oleh Sherman. HSS Gamma I merupakan rumus empiris berdasarkan beberapa parameter-parameter DAS. Parameter tersebut adalah:1. faktor sumber (SF), yaitu perbandingan antara jumlah panjang sungai sungai tingkat satu (orde 1) dengan jumlah panjang sungai sungai di semua tingkat.2. frekuensi sumber (SN), yaitu perbandingan antara jumlah pangsa sungai-sungai tingkat satu (orde 1) dengan jumlah pangsa sungai-sungai di semua tingkat.3. Faktor lebar (WF), yaitu perbandingan antara luas DAS yang diukur di titik di sungai yang berjarak 0,75 L dengan lebar DAS yang diukur di titik sungai yang berjarak 0,25 L dari stasiun Hidrometri.4. Luas DAS sebelah hulu (RUA) yaitu perbandingan antara luas DAS yang diukur di hulu garis yang ditarik tegak lurus garis hubung antara stasiun Hidrometri dengan titik yang paling dekat dengan titik berat DAS, melewati titik tersebut.5. Faktor simetri (SIM), yaitu hasil kali antara faktor lebar (WF) dengan luas DAS sebelah hulu (RUA)6. Jumlah pertemuan sungai (JN) adalah jumlah semua pertemuan sungai dalam DAS tersebut. Jumlah ini tidak lain adalah jumlah pangsa sungai tingkat satu dikurangi satu.7. Kerapatan jaringan kuras (D), yaitu jumlah panjang sungai sama tingkat tiap satuan luas DAS.Selanjutnya hidrograf satuan dijabarkan dengan empat variabel pokok, yaitu waktu naik (Tr), debit puncak (Qp), waktu dasar (Tb) dan koefisien tampungan (k) persamaan tersebut: Tr= 0.43 ()3 + 1.0665 SIM + 1.2775 Tb= 27.4132 Tr0.1457 S-0.0986 SN0.7344 RUA0.2574 Qp= 0.1836 A0.5886 Tr-0.4008 JN0.2381 k/C= 0.5617 A0.1798 S-0.1446 SF-1.0897 D0.0452 Qt= Qp . e-(t/k)

Data Karakteristik DAS

Luas DAS (CA) :260km

Panjang Sungai Utama (L) :21km

Slope Sungai (S) :0,007

SF :0,56

SN :0,46

WF :0,71

RUA :0,39

SIM (WF x RUA) :0,2769

D :0,61

JN :31

TR =0,43[L/(100SF)]3+ 1,0665SIM + 1,2775

=1,595

=2jam

TB =27,4132Tr0,1475 S-0,0986 SN0,7344 RUA0,2574

=21,253

=21jam

Qp =0,1836A0,5886 Tr-0,4008 JN0,2381

=9,001m3/dt/mm

K =0,5617A0,1798 S-0,1446 SF-1,0897 D0,0452

=5,781

Qb =0,4751 A0,6444 D0,943

=10,729m3/dt/mm

Qt =Qp. e-1/K

=7,571m3/dt/mm

Tabel 3.23 Ordinat HSS Metode Gamma 1

tQKeterangan

(jam)(m3/dt/mm)

0,000,000Qp

1,005,641

2,009,001Tp

3,007,059Qt

4,005,938

5,004,995

6,004,201

7,003,534

8,002,973

9,002,500

10,002,103

11,001,769

12,001,488

13,001,252

14,001,053

15,000,886

16,000,745

17,000,627

18,000,527

19,000,443

20,000,373

21,000,314

22,000,264

23,000,222

24,000,187

Sumber : Hasil Perhitungan

Grafik 3.4. Hidrograf Satuan Sintetik Gamma 1 Sumber : Hasil Perhitungan

Tabel 3.24. Perhitungan Hidrograf Debit Banjir Rancangan Dengan Kala Ulang 2 Tahun (Metode Gamma I)

TOrdinatHujan Jam - Jaman (mm)Base FlowQ

HSS (Qt)R1R2R3R4R5R6

101,84426,47118,56914,78312,48310,912

(m3/det/mm)(mm)(mm)(mm)(mm)(mm)(mm)(m3/det)(m3/det)

0,000,00014,79014,790

1,005,641574,52614,790589,316

2,009,001916,650238,25714,7901169,697

3,007,059718,933186,866131,08214,7901051,671

4,005,938604,731157,182110,26087,77814,790974,741

5,004,995508,670132,21492,74573,83462,35014,790884,604

6,004,201427,868111,21278,01362,10652,44645,84414,790792,278

7,003,534359,90293,54665,62052,24044,11538,56214,790668,775

8,002,973302,73278,68655,19743,94237,10732,43614,790564,890

9,002,500254,64366,18746,42936,96231,21327,28414,790477,507

10,002,103214,19355,67339,05431,09026,25522,95014,790404,005

11,001,769180,16946,83032,85026,15222,08419,30414,790342,179

12,001,488151,54939,39127,63221,99818,57616,23814,790290,173

13,001,252127,47633,13423,24218,50315,62513,65814,790246,429

14,001,053107,22627,87019,55015,56413,14311,48914,790209,633

15,000,88690,19423,44316,44513,09211,0559,66414,790178,683

16,000,74575,86619,71913,83311,0129,2998,12914,790152,648

17,000,62763,81516,58711,6359,2637,8226,83714,790130,750

18,000,52753,67813,9529,7877,7916,5805,75114,790112,330

19,000,44345,15111,7368,2326,5545,5344,83814,79096,836

20,000,37337,9799,8726,9255,5134,6554,06914,79083,803

21,000,31431,9468,3035,8254,6373,9163,42314,79072,840

22,000,26426,8726,9844,8993,9003,2942,87914,79063,619

23,000,22222,6035,8754,1213,2812,7712,42214,79055,862

24,000,18719,0134,9423,4672,7602,3302,03714,79049,338

Sumber : Hasil PerhitunganTabel 3.25. Perhitungan Hidrograf Debit Banjir Rancangan Dengan Kala Ulang 5 Tahun (Metode Gamma I)



116,72030,33821,28116,94214,30712,506


0,000,00014,79014,790

1,005,641658,44614,790673,236

2,009,0011050,544273,05814,7901338,392

3,007,059823,946214,161150,22914,7901203,126

4,005,938693,063180,142126,365100,59914,7901114,959

5,004,995582,970151,526106,29284,61971,45814,7901011,655

6,004,201490,366127,45689,40871,17760,10752,54014,790905,844

7,003,534412,472107,21075,20559,87150,55944,19414,790764,301

8,002,973346,95190,18063,25950,36042,52837,17414,790645,242

9,002,500291,83875,85553,21042,36135,77231,26914,790545,095

10,002,103245,48063,80544,75835,63230,09026,30214,790460,857

11,001,769206,48653,67037,64829,97225,31022,12414,790390,000

12,001,488173,68645,14531,66825,21121,29018,60914,790330,398

13,001,252146,09637,97326,63721,20617,90815,65314,790280,264

14,001,053122,88931,94122,40617,83715,06313,16714,790238,094

15,000,886103,36826,86818,84715,00412,67011,07514,790202,622

16,000,74586,94822,60015,85312,62110,6589,31614,790172,785

17,000,62773,13619,01013,33510,6168,9657,83614,790147,688

18,000,52761,51915,99011,2178,9307,5416,59114,790126,577

19,000,44351,74713,4509,4357,5116,3435,54414,790108,820

20,000,37343,52711,3137,9366,3185,3354,66414,79093,883

21,000,31436,6129,5166,6765,3144,4883,92314,79081,319

22,000,26430,7978,0055,6154,4703,7753,30014,79070,751

23,000,22225,9056,7334,7233,7603,1752,77614,79061,862

24,000,18721,7905,6643,9733,1632,6712,33514,79054,385





124,37732,32822,67718,05315,24513,326


0,000,00014,79014,790

1,005,641701,63914,790716,429

2,009,0011119,458290,97114,7901425,219

3,007,059877,996228,210160,08414,7901281,080

4,005,938738,527191,959134,655107,19814,7901187,129

5,004,995621,213161,466113,26590,17076,14514,7901077,049

6,004,201522,534135,81895,27375,84764,05055,98714,790964,297

7,003,534439,530114,24380,13963,79853,87547,09314,790813,469

8,002,973369,71196,09667,40953,66445,31739,61314,790686,599

9,002,500310,98380,83156,70145,14038,11933,32014,790579,883

10,002,103261,58367,99147,69437,96932,06428,02714,790490,119

11,001,769220,03157,19140,11831,93826,97023,57514,790414,613

12,001,488185,07948,10633,74526,86522,68619,83014,790351,101

13,001,252155,68040,46428,38522,59719,08216,68014,790297,679

14,001,053130,95034,03723,87619,00816,05114,03114,790252,742

15,000,886110,14928,63020,08315,98813,50111,80214,790214,944

16,000,74592,65224,08216,89313,44911,3579,92714,790183,149

17,000,62777,93420,25714,21011,3129,5538,35014,790156,406

18,000,52765,55417,03911,9529,5158,0357,02414,790133,910

19,000,44355,14114,33210,0548,0046,7595,90814,790114,988

20,000,37346,38212,0568,4576,7325,6854,97014,79099,072

21,000,31439,01410,1417,1135,6634,7824,18014,79085,684

22,000,26432,8178,5305,9834,7634,0233,51614,79074,422

23,000,22227,6047,1755,0334,0073,3842,95814,79064,950

24,000,18723,2196,0354,2343,3702,8462,48814,79056,982





132,32934,39524,12719,20816,22014,178


0,000,00014,79014,790

1,005,641746,50114,790761,291

2,009,0011191,035309,57514,7901515,400

3,007,059934,134242,801170,31914,7901362,045

4,005,938785,748204,232143,264114,05214,7901262,087

5,004,995660,932171,790120,50795,93581,01414,7901144,969

6,004,201555,944144,502101,36480,69668,14559,56614,7901025,007

7,003,534467,633121,54885,26367,87857,32050,10414,790864,535

8,002,973393,350102,24071,71957,09548,21542,14514,790729,554

9,002,500330,86685,99960,32648,02640,55635,45114,790616,014

10,002,103278,30972,33850,74440,39734,11429,81914,790520,510

11,001,769234,10060,84742,68333,98028,69525,08314,790440,177

12,001,488196,91351,18235,90328,58224,13721,09814,790372,605

13,001,252165,63443,05230,20024,04220,30317,74714,790315,766

14,001,053139,32336,21325,40320,22317,07714,92814,790267,956

15,000,886117,19230,46121,36717,01114,36512,55614,790227,741

16,000,74598,57625,62217,97314,30812,08310,56214,790193,914

17,000,62782,91721,55215,11812,03610,1648,88414,790165,460

18,000,52769,74618,12812,71710,1248,5497,47314,790141,527

19,000,44358,66715,24910,6978,5167,1916,28614,790121,395

20,000,37349,34812,8268,9977,1636,0495,28714,790104,461

21,000,31441,50910,7897,5686,0255,0884,44714,79090,216

22,000,26434,9159,0756,3665,0684,2803,74114,79078,235

23,000,22229,3697,6345,3554,2633,6003,14714,79068,157

24,000,18724,7046,4214,5043,5863,0282,64714,79059,680





137,33135,69525,03919,93416,83314,714


0,000,00014,79014,790

1,005,641774,71614,790789,506

2,009,0011236,052321,27614,7901572,118

3,007,059969,441251,978176,75714,7901412,966

4,005,938815,446211,952148,679118,36314,7901309,230

5,004,995685,913178,283125,06299,56184,07614,7901187,685

6,004,201576,957149,963105,19683,74670,72061,81814,7901063,190

7,003,534485,308126,14288,48570,44359,48751,99814,790896,653

8,002,973408,217106,10474,43059,25350,03743,73814,790756,569

9,002,500343,37289,25062,60749,84142,08936,79014,790638,739

10,002,103288,82875,07252,66241,92435,40330,94614,790539,625

11,001,769242,94863,14744,29635,26429,77926,03114,790456,255

12,001,488204,35653,11637,26029,66325,04921,89614,790386,129

13,001,252171,89444,67931,34124,95121,07018,41814,790327,142

14,001,053144,58937,58226,36320,98717,72315,49214,790277,525

15,000,886121,62131,61222,17517,65314,90813,03114,790235,790

16,000,745102,30226,59018,65314,84912,54010,96114,790200,684

17,000,62786,05122,36615,69012,49010,5489,22014,790171,155

18,000,52772,38218,81413,19710,5068,8727,75514,790146,317

19,000,44360,88415,82511,1018,8377,4636,52314,790125,424

20,000,37351,21313,3119,3387,4346,2775,48714,790107,850

21,000,31443,07811,1977,8546,2535,2804,61614,79093,067

22,000,26436,2359,4186,6075,2604,4413,88214,79080,633

23,000,22230,4797,9225,5574,4243,7363,26614,79070,174

24,000,18725,6376,6644,6743,7213,1432,74714,79061,376





141,71936,83625,83920,57117,37115,184


0,000,00014,79014,790

1,005,641799,47214,790814,262

2,009,0011275,549331,54214,7901621,881

3,007,0591000,419260,030182,40514,7901457,644

4,005,938841,503218,724153,430122,14514,7901350,593

5,004,995707,831183,980129,058102,74386,76214,7901225,164

6,004,201595,393154,755108,55786,42272,98063,79314,7901096,691

7,003,534500,815130,17291,31372,69461,38753,66014,790924,832

8,002,973421,261109,49576,80861,14751,63645,13614,790780,272

9,002,500354,34492,10264,60751,43443,43437,96614,790658,676

10,002,103298,05777,47154,34443,26336,53431,93514,790556,396

11,001,769250,71165,16545,71236,39130,73126,86214,790470,362

12,001,488210,88654,81438,45030,61025,84922,59514,790397,995

13,001,252177,38746,10732,34325,74821,74319,00614,790337,123

14,001,053149,20938,78327,20521,65818,28915,98714,790285,921

15,000,886125,50732,62222,88418,21815,38413,44714,790242,852

16,000,745105,57127,44019,24915,32412,94011,31114,790206,624

17,000,62788,80123,08116,19112,89010,8859,51514,790176,152

18,000,52774,69519,41513,61910,8429,1568,00314,790150,520

19,000,44362,83016,33111,4569,1207,7016,73214,790128,959

20,000,37352,84913,7379,6367,6716,4785,66314,790110,823

21,000,31444,45411,5558,1056,4535,4494,76314,79095,569

22,000,26437,3939,7196,8185,4284,5834,00614,79082,737

23,000,22231,4538,1755,7354,5653,8553,37014,79071,944

24,000,18726,4576,8774,8243,8403,2432,83514,79062,865





145,60637,84626,54821,13517,84815,601


0,000,00014,79014,790

1,005,641821,39814,790836,188

2,009,0011310,532340,63514,7901665,957

3,007,0591027,856267,161187,40714,7901497,215

4,005,938864,582224,723157,638125,49514,7901387,228

5,004,995727,244189,026132,597105,56189,14214,7901258,360

6,004,201611,722158,999111,53488,79274,98265,54314,7901126,362

7,003,534514,550133,74293,81774,68863,07155,13114,790949,790

8,002,973432,815112,49878,91462,82453,05246,37414,790801,266

9,002,500364,06294,62766,37952,84444,62539,00714,790676,335

10,002,103306,23179,59655,83544,45037,53632,81114,790571,249

11,001,769257,58766,95246,96537,38931,57427,59914,790482,856

12,001,488216,66956,31739,50531,45026,55823,21514,790408,504

13,001,252182,25247,37133,23026,45422,33919,52714,790345,963

14,001,053153,30139,84627,95122,25218,79116,42514,790293,357

15,000,886128,94933,51723,51118,71715,80613,81614,790249,107

16,000,745108,46628,19319,77615,74413,29511,62214,790211,886

17,000,62791,23623,71416,63513,24311,1839,77514,790180,577

18,000,52776,74319,94713,99311,1399,4078,22314,790154,242

19,000,44364,55316,77911,7709,3707,9136,91614,790132,090

20,000,37354,29914,1139,9007,8826,6565,81814,790113,457

21,000,31445,67311,8718,3286,6305,5984,89414,79097,784

22,000,26438,4189,9867,0055,5764,7094,11614,79084,600

23,000,22232,3158,3995,8924,6913,9613,46214,79073,511

24,000,18727,1827,0654,9563,9463,3322,91214,79064,183





153,32239,85227,95522,25518,79316,428


0,000,00014,79014,790

1,005,641864,92914,790879,719

2,009,0011379,986358,68714,7901753,463

3,007,0591082,329281,320197,33914,7901575,778

4,005,938910,402236,633165,992132,14614,7901459,963

5,004,995765,785199,044139,625111,15593,86614,7901324,265

6,004,201644,141167,426117,44593,49878,95669,01614,7901185,272

7,003,534541,820140,83098,78978,64666,41458,05314,790999,342

8,002,973455,752118,46083,09766,15355,86448,83114,790842,947

9,002,500383,35699,64269,89755,64546,99041,07514,790711,395

10,002,103322,46183,81458,79446,80639,52634,55014,790600,740

11,001,769271,23870,50049,45439,37133,24729,06214,790507,662

12,001,488228,15259,30241,59933,11727,96624,44514,790429,370

13,001,252191,91049,88234,99127,85623,52320,56214,790363,514

14,001,053161,42641,95829,43223,43119,78717,29614,790308,120

15,000,886135,78335,29324,75719,70916,64414,54814,790261,525

16,000,745114,21429,68720,82516,57814,00012,23714,790222,331

17,000,62796,07124,97117,51713,94511,77610,29414,790189,363

18,000,52780,81121,00414,73411,7309,9058,65814,790161,633

19,000,44367,97417,66812,3949,8678,3327,28314,790138,307

20,000,37357,17614,86110,4258,2997,0086,12614,790118,686

21,000,31448,09412,5018,7696,9815,8955,15314,790102,182

22,000,26440,45410,5157,3765,8724,9594,33414,79088,300

23,000,22234,0288,8456,2044,9394,1713,64614,79076,623

24,000,18728,6237,4405,2194,1553,5083,06714,79066,801


Tabel 2.31. Rekapitulasi Perhitungan Hidrograf Debit Banjir Rancangan Dengan Menggunakan Metode Gamma IWaktuQtDebit Banjir Rancangan (m3/dt)

2 th5 th10 th25 th50 th100 th200 th1000 th

0,000,00014,79014,79014,79014,79014,79014,79014,79014,790

1,004,900513,824586,717624,235663,202687,710709,213728,258766,069

2,009,0011169,6971338,3921425,2191515,4001572,1181621,8811665,9571753,463

3,007,6501138,4531302,5841387,0631474,8041529,9881578,4051621,2881706,427

4,006,1001000,9581145,0051219,1471296,1521344,5831387,0751424,7111499,432

5,004,500798,467912,937971,8541033,0481071,5341105,3021135,2101194,588

6,003,000569,977651,072692,812736,164763,429787,351808,539850,605

7,002,000384,915438,978466,804495,706513,883529,831543,956572,000

8,001,500292,384332,931353,801375,477389,109401,071411,665432,698

9,001,270249,819284,149301,819320,171331,714341,841350,810368,618

10,001,100218,359248,093263,398279,294289,291298,062305,831321,256

11,001,000199,852226,884240,797255,248264,336272,310279,373293,395

12,000,950190,599216,279229,497243,225251,859259,434266,144279,465

13,000,900181,346205,675218,197231,202239,382246,558252,915265,535

14,000,820166,541188,707200,116211,965219,418225,957231,748243,246

15,000,770157,288178,102188,816199,943206,941213,081218,519229,316

16,000,720148,035167,498177,515187,920194,463200,205205,290215,386

17,000,640133,230150,530159,435168,683174,500179,603184,123193,097

18,000,550116,574131,442139,094147,042152,040156,426160,311168,023

19,000,44396,836108,820114,988121,395125,424128,959132,090138,307

20,000,37383,80393,88399,072104,461107,850110,823113,457118,686

21,000,31472,84081,31985,68490,21693,06795,56997,784102,182

22,000,26463,61970,75174,42278,23580,63382,73784,60088,300

23,000,22255,86261,86264,95068,15770,17471,94473,51176,623

24,000,18749,33854,38556,98259,68061,37662,86564,18366,801

Q maksimum1169,6971338,3921425,2191515,4001572,1181621,8811665,9571753,463


Grafik 3.5. Hidrograf Satuan Sintetik Rancangan Gamma 1Sumber : Hasil Perhitungan

SOAL 3 HSS GAMMA I revisi.docx

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