allan achmat_41109010017 (tb hidrologi

1 ALLAN ACHMAT (41109010017)[P

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DATA CURAH HUJAN HARIAN MAKSIMUMNo Tahun Sta. Depok

(mm)Sta. Parung

(mm)Sta. Bogor

(mm)Sta. Sawangan

(mm)1 1974 71 120 85 1202 1975 76 162 70 1623 1976 202 129 191 1294 1977 155 84 104 845 1978 131 90 70 906 1979 207 H1 87 727 1980 87 72 95 1158 1981 45 72 196 1189 1982 61 115 125 11810 1983 53 103 125 H211 1984 97 94 120 10612 1985 100 152 131 7413 1986 112 120 112 10514 1987 50 105 67 11115 1988 61 59 78 7216 1989 83 80 67 7117 1990 70 70 69 8518 1991 72 86 75 8119 1992 84 76 78 7120 1993 66 94 123 13021 1994 71 75 100 9822 1995 102 118 89 9823 1996 94 99 97 50

Ditanya: Data yang hilang pada H1, H2 dan H3 =....????

Jawab:

1. Tahun 1983 data hujan pada Sta. sawangan (PD), data-datanya sbb:

PA = 53 mm NA = 1308 mm

PB = 103 mm NB = 1590 mm

PC = 125 mm NC = 1747 mm

PD = ..?? mm ND = 1503 mm

N = 4-1 = 3

Perhitungan:

PA =

= 31

PA = 88,60 H2 = 89 mm

TUGAS BESAR HIDROLOGI


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2. Tahun 1979 data hujan pada Sta. Parung (PB), data-datanya sbb:

PA = 207 mm NA = 2150 mm

PB = ? NB = 2175 mm

No

Tahun

Hujan di Sta Depok Hujan Merata Pada 3 Sta x.y x²

Datayang telah terkoreksi

Hz = Pdp x FkHuja

nKumulatif

(y) Hujan Kumulatif (x)

1 1974 71 2150 162,5 3449 7415350 5041 66,422 1975 76 2079 197 3286,5 6832634 5776 71,103 1976 202 2003 224,5 3089,5 6188269 40804 188,974 1977 155 1801 136 2865 5159865 24025 145,005 1978 131 1646 125 2729 4491934 17161 122,556 1979 207 1515 139,5 2604 3945060 42849 193,657 1980 87 1308 141 2464,5 3223566 7569 81,398 1981 45 1221 193 2323,5 2836994 2025 42,109 1982 61 1176 179 2130,5 2505468 3721 57,0610 1983 53 1115 158,5 1951,5 2175923 2809 49,5811 1984 97 1062 160 1793 1904166 9409 90,7412 1985 100 965 178,5 1633 1575845 10000 93,5513 1986 112 865 168,5 1454,5 1258143 12544 104,7714 1987 50 753 141,5 1286 968358 2500 46,7715 1988 61 703 104,5 1144,5 804583,5 3721 57,0616 1989 83 642 109 1040 667680 6889 77,6517 1990 70 559 112 931 520429 4900 65,4818 1991 72 489 121 819 400491 5184 67,3519 1992 84 417 112.5 698 291066 7056 78,5820 1993 66 333 173.5 585,5 194971,5 4356 61,7421 1994 71 267 136.5 412 110004 5041 66,4222 1995 102 196 152.5 275,5 53998 10404 95,4223 1996 94 94 123 123 11562 8836 87,94

∑ 23 2150 23359 3449 390885353635

824262

0 2011,29PC = 87 mm NC = 2354 mm

PD = 72 mm ND = 2249 mm

N = 4-1 = 3

Perhitungan:

PD =

= 31

PD = 119,81 H1 = 120 mm

Hujan rerata pada 4 stasiun “Double Mass Curve Test”

Tabel Sta. Depok



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GRAFIK CURAH HUJAN

Perhitungan

a). Data – data (1980 s/d 1996)

- n = 16

- ∑y = 12165 mm ∑xy = 256255725 mm²

- ∑x = 21065 mm ∑x² = 443734225 mm²

b = (n . ∑xy) – (∑x . ∑y) = 0,58

(n . ∑x²) – (∑x) ²

a = y – b . x » y = 12165 = 760,3 mm ,x = 21065 = 1316,56 mm

16 16

a = 760,3 mm – 0,58 x 1316,56 = -3,30 mm

y = bx + a = (0,58x) + (-3,30) mm

tgn α = y / x = 12165 = 0,58 mm

21065


GRAFIK TINGGI HUJAN DAN TINGGI RATA-RATA STA.DEPOK

0

500

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2000

2500

0 1000 2000 3000 4000komulatif rata-rata station hujan (mm)

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tinggi hujan


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b). Data – data (1974 s/d 1979)

- n = 05

- ∑y = 11194 mm ∑xy = 201749462 mm²

- ∑x = 18023 mm ∑x² = 324828529 mm²

b = (n . ∑xy) – (∑x . ∑y) = 0,62

(n . ∑x²) – (∑x) ²

a = y – b . x » y = 11194 = 2238,8 mm ,x = 18023 = 3604,60 mm

05 05

a = 2238,8 mm – 0,62 x 3604,60 = 3,95 mm

y = bx + a = (0,62x) + (3,95) mm

tgn α = y / x = 11194 = 0,95 mm

180,23

c). Factor Koreksi

fk = tgn α = 0,58 = 0,94

tgn αo 0,62



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Hujan rerata pada 4 stasiun “Double Mass Curve Test”Tabel Sta. Parung

No

Tahun

Hujan di Sta Parung Hujan Merata Pada 3 Sta x.y x²


Hz = Pdp x FkHuja

nKumulatif


1 1974 120 2295 138 3376,5774906

8 14400 82,80

2 1975 162 2175 154 3238,5704373

8 26244 111,78

3 1976 129 2013 261 3084,5620909

9 16641 89,01

4 1977 84 1884 171,5 2823,5531947

4 7056 57,96

5 1978 90 1800 145,5 2652477360

0 8100 62,10

6 1979 120 1710 183 2506,5428611

5 14400 82,80

7 1980 72 1590 148,5 2323,5369436

5 5184 49,68

8 1981 72 1518 179,5 2175330165

0 5184 49,68

9 1982 115 1446 152 1995,5288549

3 13225 79,35

10 1983 103 1331 133,5 1843,5245369

9 10609 71,07

11 1984 94 1228 161,5 1710209988

0 8836 64,86

12 1985 152 1134 152,5 1548,5175599

9 23104 104,88

13 1986 120 982 164,5 1396137087

2 14400 82,80

14 1987 105 862 114 1231,5106155

3 11025 72,4515 1988 59 757 105,5 1117,5 845948 3481 40,7116 1989 80 698 110,5 1012 706376 6400 55,2017 1990 70 618 112 901,5 557127 4900 48,3018 1991 86 548 114 789,5 432646 7396 59,3419 1992 76 462 116,5 675,5 312081 5776 52,4420 1993 94 386 159,5 559 215774 8836 64,8621 1994 75 292 134,5 399,5 116654 5625 51,7522 1995 118 217 144,5 265 57505 13924 81,4223 1996 99 99 120,5 120,5 11929,5 9801 68,31

∑ N=23 2295 26045 3376,5 377455,7E+0

724454

7 1583,61



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GRAFIK CURAH HUJAN

Perhitungan

a). Data – data (1974 s/d 1996)

- n = 22

- ∑y = 26045 mm ∑xy = 983068525 mm²

- ∑x = 37745 mm ∑x² = 1424685025 mm²

b = (n . ∑xy) – (∑x . ∑y) = 0,69



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(n . ∑x²) – (∑x) ²

a = y – b . x » y = 26045 = 1183,9 mm ,x = 37745 = 1715,68 mm

22 22

a = 1183,9 mm – 0,69 x 1715,68 = 0,08 mm

y = bx + a = (1,12x) + (-351,89) mm

tgn α = y / x = 26045 = 0,69 mm

37745

c). Factor Koreksi

fk = tgn α = 0,69

Hujan rerata pada 4 stasiun “Double Mass Curve Test”Tabel Sta. Bogor

No

Tahun

Hujan di Sta Bogor Hujan Merata Pada 3 Sta x.y x²


Hz = Pdp x FkHuja

nKumulatif


1 1974 85 2354 155,5 3347 7878838 7225 61,512 1975 70 2269 200 3191,5 7241514 4900 50,653 1976 191 2199 230 2991,5 6578309 36481 138,214 1977 104 2008 161,5 2761,5 5545092 10816 75,265 1978 70 1904 155,5 2600 4950400 4900 50,656 1979 87 1834 199,5 2444,5 4483213 7569 62,957 1980 95 1747 137 2245 3922015 9025 68,748 1981 196 1652 117,5 2108 3482416 38416 141,839 1982 125 1456 147 1990,5 2898168 15625 90,4510 1983 125 1331 122,5 1843,5 2453699 15625 90,4511 1984 120 1206 148,5 1721 2075526 14400 86,8312 1985 131 1086 163 1572,5 1707735 17161 94,7913 1986 112 955 168,5 1409,5 1346073 12544 81,0414 1987 67 843 133 1241 1046163 4489 48,4815 1988 78 776 96 1108 859808 6084 56,4416 1989 67 698 117 1012 706376 4489 48,4817 1990 69 631 112,5 895 564745 4761 49,9318 1991 75 562 119,5 782,5 439765 5625 54,2719 1992 78 487 115,5 663 322881 6084 56,4420 1993 123 409 145 547,5 223927.5 15129 89,0021 1994 100 286 122 402,5 115115 10000 72,3622 1995 89 186 159 280,5 52173 7921 64,4023 1996 97 97 121,5 121,5 11785.5 9409 70,19

∑ N=23 2354 26976 3347 37279,55890573

526867

8 1703,39



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GRAFIK CURAH HUJAN

Perhitungan

b). Data – data (1974 s/d 1996)

- n = 22

- ∑y = 26976 mm ∑xy = 1005651792 mm²

- ∑x = 37279,5 mm ∑x² = 1389761120 mm²

b = (n . ∑xy) – (∑x . ∑y) = 0,72



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(n . ∑x²) – (∑x) ²

a = y – b . x » y = 26976 = 1226,2 mm ,x = 37279,5 = 1694,52 mm

22 22

a = 2123,83 mm – 0,94 x 1952,83 = 297,43 mm

y = bx + a = (0,94x) + (297,43) mm

tgn α = y / x = 26976 = 0,72mm

37279,5

c). Factor Koreksi

fk = tgn α = 0,72

Hujan rerata pada 4 stasiun “Double Mass Curve Test”Tabel Sta. Sawangan

No

Tahun

Hujan di Sta Sawangan

Hujan Merata Pada 3 Sta x.y x²


Hz = Pdp x FkHuja

n Kumulatif (y) Hujan Kumulatif (x)

1 1974 120 2249 138 3399,5 7645476 14400 121,432 1975 162 2129 154 3261,5 6943734 26244 163,933 1976 129 1967 261 3107,5 6112453 16641 130,534 1977 84 1838 171,5 2846,5 5231867 7056 85,005 1978 90 1754 145,5 2675 4691950 8100 91,076 1979 72 1664 207 2529,5 4209088 5184 72,867 1980 115 1592 127 2322,5 3697420 13225 116,378 1981 118 1477 156,5 2195,5 3242754 13924 119,409 1982 118 1359 150,5 2039 2771001 13924 119,40

10 1983 89 1241 140,5 1888,5 2343629 7921 90,0611 1984 106 1152 155,5 1748 2013696 11236 107,2612 1985 74 1046 191,5 1592,5 1665755 5476 74,8813 1986 105 972 172 1401 1361772 11025 106,2514 1987 111 867 111 1229 1065543 12321 112,3215 1988 72 756 99 1118 845208 5184 72,8616 1989 71 684 115 1019 696996 5041 71,8417 1990 85 613 104,5 904 554152 7225 86,0118 1991 81 528 116,5 799,5 422136 6561 81,9619 1992 71 447 119 683 305301 5041 71,8420 1993 130 376 141,5 564 212064 16900 131,5521 1994 98 246 123 422,5 103935 9604 99,1722 1995 98 148 154,5 299,5 44326 9604 99,1723 1996 50 50 145 145 7250 2500 50,59

∑ N=23 2249 25155 3399,5 381905618750

423433

7 2275,74


10 ALLAN ACHMAT (41109010017)[P

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GRAFIK CURAH HUJAN

Perhitungan

a). Data – data (1981 s/d 1996)

- n = 15

- ∑y = 11962 mm ∑xy = 215890176 mm²

- ∑x = 18048 mm ∑x² = 325730304 mm²

b = (n . ∑xy) – (∑x . ∑y) = 0,66


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(n . ∑x²) – (∑x) ²

a = y – b . x » y = 11962 = 797,5 mm ,x = 18048 = 1203,20 mm

15 15

a = 797,5 mm – 0,66 x 1203,20 = 3,39 mm

y = bx + a = (0,66x) + (3,39) mm

tgn α = y / x = 11962 = 0,66 mm

18048

b). Data – data (1974 s/d 1980)

- n = 06

- ∑y = 13193 mm ∑xy = 265733406 mm²

- ∑x = 20142 mm ∑x² = 405700164 mm²

b = (n . ∑xy) – (∑x . ∑y) = 0,65

(n . ∑x²) – (∑x) ²

a = y – b . x » y = 13193 = 2198,8 mm ,x = 20142 = 3357 mm

06 06

a = 2198,8 mm – 0,65 x 3357 = 0 mm

y = bx + a = (0,65x) + (0) mm

tgn α = y / x = 13193 = 0,65 mm

20142

c). Factor Koreksi

fk = tgn α = 0,66 = 1,01

tgn αo 0,65


12 ALLAN ACHMAT (41109010017)[P

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MENENTUKAN HUJAN DAERAH "Metode Thiesen"

No

Tahun

Stasiun Stasiun Stasiun Stasiun Xi Xi

Depok Parung Bogor Sawanga

nRa + Rb + Rc +

Rd(penyusuna

n)(da) (db) (dc) (dd)(mm) (mm) (mm) (mm) (mm) (mm)

1 1974 66,42 82,8 61,51 121,43 81,643085 146,2936012 1975 71,1 111,78 50,65 163,93 92,856383 103,7947153 1976 188,97 89,01 138,21 130,53 146,293601 101,1231614 1977 145 57,96 75,26 85 95,291390 95,2913905 1978 122,55 62,1 50,65 91,07 81,950117 94,7370846 1979 193,65 82,8 62,95 72,86 101,123161 92,9615587 1980 81,39 49,68 68,74 116,37 84,903264 92,8563838 1981 42,1 49,68 141,83 119,4 103,794715 92,5540029 1982 57,06 79,35 90,45 119,4 89,587643 89,58764310 1983 49,58 71,07 90,45 90,06 78,531906 89,21457211 1984 90,74 64,86 86,83 107,26 92,554002 84,90326412 1985 93,55 104,88 94,79 74,88 89,214572 83,70605313 1986 104,77 82,8 81,04 106,25 94,737084 81,95011714 1987 46,77 72,45 48,48 112,32 68,195539 81,64308515 1988 57,06 40,71 56,44 72,86 60,496187 78,53190616 1989 77,65 55,2 48,48 71,84 63,345282 77,46852117 1990 65,48 48,3 49,93 86,01 64,485682 68,95313718 1991 67,35 59,34 54,27 81,96 66,112602 68,19553919 1992 78,58 52,44 56,44 71,84 66,501741 66,50174120 1993 61,74 64,86 89 131,55 92,961558 66,11260321 1994 66,42 51,75 72,36 99,17 77,468520 64,48568222 1995 95,42 81,42 64,4 99,17 83,706053 63,34528223 1996 87,94 68,31 70,19 50,59 68,953137 60,496187

∑ N = 23

2011,29

1583,55

1703,35 2275,75 1944,707225 1944,70722

5


13 ALLAN ACHMAT (41109010017)[P

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Stasiun Tipe 8Depok (Aa) 17,56Parung (Ab) 3,97Bogor (Ac) 26,02

Sawangan (Ad) 19,77 Atotal (At) = 67,32

- Ra =

- Rb =

Di pakai satu contoh cara di 4 titik station pada tahun (1974)

At = Aa + Ab +Ac + Ad

= 17,56 + 3,97 + 26,02 + 19,77 = 67,32 km²

- Ra = Aa . da = 17,56 x 66,42 = 17,33 mm

At 67,32

- Rb = Ab . db = 3,97 x 82,8 = 4,88 mm

At 67,32

- Rc = Ac . dc = 26,02 x 61,51 = 23,77 mm

At 67,32

- Rd = Ad . dd = 19,77 x 121,43 = 35,66 mm

At 67,32

Xi = Ra + Rb + Rc + Rd = 81,64 mm (tidak dgn pembulatan (,) koma)


- Rc =

- Rd =

14 ALLAN ACHMAT (41109010017)[P

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Data Maksimum = 146,29360071 mmNo

Xi log Xi Xi + b log ( Xi + b )

log ( Xi + b )²

( mm ) ( mm ) ( mm ) ( mm ) ( mm )1 103,794715 2,016 161,380068 2,207850 4,8746012 101,123161 2,005 158,708514 2,200600 4,8426413 95,291390 1,979 152,876744 2,184341 4,7713474 94,737084 1,977 152,322437 2,182764 4,7644585 92,961558 1,968 150,546912 2,177672 4,7422556 92,856383 1,968 150,441736 2,177368 4,7409337 92,554002 1,966 150,139355 2,176495 4,7371298 89,587643 1,952 147,172996 2,167828 4,6994799 89,214572 1,950 146,799925 2,166726 4,69470110 84,903264 1,929 142,488617 2,153780 4,63876911 83,706053 1,923 141,291406 2,150116 4,62299812 81,950117 1,914 139,535471 2,144685 4,59967213 81,643085 1,912 139,228439 2,143728 4,59557014 78,531906 1,895 136,117259 2,133913 4,55358615 77,468521 1,889 135,053874 2,130507 4,53906016 68,953137 1,839 126,538491 2,102223 4,41934017 68,195539 1,834 125,780893 2,099615 4,40838218 66,501741 1,823 124,087094 2,093727 4,38369119 66,112603 1,820 123,697956 2,092363 4,37798120 64,485682 1,809 122,071035 2,086613 4,35395221 63,345282 1,802 120,930636 2,082536 4,33695822 60,496187 1,782 118,081540 2,072182 4,293938∑ 1798,413624 41,951 3065,291397 47,127630 100,991440

Xs Xt Xs . Xt Xs + Xt ( Xs . Xt ) - Xo²

2Xo - (XS + Xt ) bi = A / B


15 ALLAN ACHMAT (41109010017)[P

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( mm ) ( mm ) ( mm ) ( mm ) A B ( mm )

103,794715 60,496187 6279,184463 164,290902 -233,0086812 -2,89458022780,4982632

9

101,123161 63,345282 6405,675175 164,468443 -106,5179691 -3,07212180734,6724432

7

204,917876 123,841469 12684,85964 328,7593449 -339,5266503 -5,966702033115,170706

6

Xo² Xo m b6512,193144 80,69816072 2 57,58535328

Perhitungan data maximum:

= 1/n ( log xi + b )² = 1/22 . 100,991440 = 4,59 mm = 1/n ( log xi + b ) = 1/22 . 47,127630 = 2,14 mm

Sx = x² - xo² = (4,59)² – (2,14)² = 4,06 mm

Dimana :

- x = 146,29 - n = 22 - Xo = 80,70 mm

- b = 57,6 - o = 5 % - Sx = 4,06 mm

Untuk perhitungan max :

Log (x + b) = log (xo + b) ± .Sx

Log (146,29 + 57,6) = log (80,70 + 57,6) ± .4,06 mm

. 4,06 = log (203,89) – log (138,3) = 0,17

= 0,17 x 100 % = 4,19 %

4,06

= 4,19 ; n = 22

Interpolasi :

1,794 ? = 1,794 (4,19 – 2,5) + 2,166 (5 – 4,19) = 1,915

2,166 (5 – 2,5)

5% 4,19 2,5%

- o = 5 % ; n = 22


16 ALLAN ACHMAT (41109010017)[P

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- o = x 100 %

= 0,233

Kesimpulan : o < » harga data max tdk dapat di singkirkan

Data Minimum = 60,496187mm

No Xi log Xi Xi + b log ( Xi + b ) log ( Xi + b )²

( mm ) ( mm ) ( mm ) ( mm ) ( mm )1 146,293601 2,165 805,619743 2,906130 8,445592162 103,794715 2,016 763,120857 2,882593 8,309344273 101,123161 2,005 760,449303 2,881070 8,300565884 95,291390 1,979 754,617533 2,877727 8,281312065 94,737084 1,977 754,063227 2,877408 8,279475436 92,961558 1,968 752,287701 2,876384 8,273584697 92,856383 1,968 752,182525 2,876323 8,273235388 92,554002 1,966 751,880144 2,876149 8,272230869 89,587643 1,952 748,913785 2,874432 8,2623583110 89,214572 1,950 748,540715 2,874215 8,2611143211 84,903264 1,929 744,229406 2,871707 8,2467000912 83,706053 1,923 743,032196 2,871008 8,2426848213 81,950117 1,914 741,276260 2,869980 8,2367857314 81,643085 1,912 740,969228 2,869800 8,2357530315 78,531906 1,895 737,858048 2,867973 8,2252680916 77,468521 1,889 736,794663 2,867346 8,2216757917 68,953137 1,839 728,279280 2,862298 8,1927495818 68,195539 1,834 727,521682 2,861846 8,1901621919 66,501741 1,823 725,827883 2,860834 8,1843691620 66,112603 1,820 725,438745 2,860601 8,1830366321 64,485682 1,809 723,811824 2,859626 8,1774589922 63,345282 1,802 722,671425 2,858941 8,17354297

∑ 1884,211038 42,33516389,38617

2 63,184390181,4690004

5


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Xs Xt Xs . Xt Xs + Xt ( Xs . Xt ) - Xo²

2Xo - (XS + Xt ) bi = A / B

( mm ) ( mm ) ( mm ) ( mm ) A B ( mm )146,293601 63.345282 9267,009425 209,638883 2209,74543 -41,62383605 -53,0884618

103,794715 64,485682 6693,272953 168,280397 -363,9910419 -0,265349734 1371,740747

250,088316 127,830964 15960,28238 377,9192796 1845,754389 -41,88918579 1318,652285

Xo² Xo m b7057,263995 84,00752344 2 659,3261424

Perhitungan data minimum:

x = 1/n ( log xi + b )² = 1/22 . 181,46900045 = 8,25 mmxo = 1/n ( log xi + b ) = 1/22 . 35,6221923 = 2,87 mmSx = x² - xo² = (8,25)² – (2,87)² = 7,73 mm

Dimana :

- x = 60,496 - n = 22 - Xo = 84,007 mm

- b = 659,33 - o = 5 % - Sx = 7,73 mm

Untuk perhitungan minimum :

Log (x + b) = log (xo + b) ± .Sx

Log (60,496 + 659,33) = log (84,007 + 659,33) ± .7,73 mm

. 7,73 = log (719,83) – log (743,34) = - 0,014

= -0,014 x 100 % = 0,18 %

-7,73

= 0,18 ; n = 22

Interpolasi :

3,257 ? = 3,257 (0,18 – 0,05) + 3,961 (0,25 – 0,18) =3,503

3,961 (0,25 – 0,05)

0,25% 0,18 0,05%

- o = 5 % ; n = 22


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- o = x 100 %

= 0,233

Kesimpulan : o < » harga data min dapat di singkirkan

PERHITUNGAN ANALITISData Yang Telah Dikoreksi

No.

xi xi - (xi - )2 (xi - )3 (xi - )4

(mm) (mm) (mm) (mm) (mm)

1 63,345282-

22,300674 497,32006-

11090,57264247327,2454

7

2 64,485682-

21,160274 447,75722 -9474,66558200486,5240

6

3 66,112603-

19,533354 381,55191 -7452,98845145581,8601

6

4 66,501741-

19,144215 366,50098 -7016,37371134322,9692

7

5 68,195539-

17,450417 304,51706 -5313,94963 92730,63729

6 68,953137-

16,692819 278,65021 -4651,45749 77645,938097 77,468521 -8,177436 66,87046 -546,82886 4471,657898 78,531906 -7,114050 50,60971 -360,04006 2561,343169 81,643085 -4,002871 16,02298 -64,13791 256,7357710 81,950117 -3,695839 13,65923 -50,48230 186,5744411 83,706053 -1,939903 3,76322 -7,30029 14,1618612 84,903264 -0,742693 0,55159 -0,40966 0,3042513 89,214572 3,568616 12,73502 45,44639 162,1807214 89,587643 3,941686 15,53689 61,24155 241,3949815 92,554002 6,908045 47,72109 329,65948 2277,3026716 92,856383 7,210427 51,99025 374,87190 2702,9863717 92,961558 7,315602 53,51803 391,51662 2864,1797318 94,737084 9,091128 82,64860 751,36903 6830,79183


19 ALLAN ACHMAT (41109010017)[P

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19 95,291390 9,645434 93,03440 897,35716 8655,3993320 101,123161 15,477205 239,54387 3707,46946 57381,26390

21 103,794715 18,148759 329,37744 5977,79154108489,4950

5

22 146,293601 60,6476443678,1367

7223070,3312

113528690,12

8

1884,211038 0

7032,01699

189577,84777

14623881,075

= = = 85.64595629

Cs = SD =

= =

Cs = 1,621 SD = 18,299

X = Cu = = = 0,214

X = = 7,91

Metode Log Person

Perhitungan Log PersonNo. xi Log xi Log

(Log xi - Log

)(Log xi - Log

)²

(Log xi - Log

)3

1 63,34528285,6459562

9 1,8017141,9327

1 -0,130993 0,017159058 -0,002247709

2 64,48568285,6459562

9 1,8094631,9327

1 -0,123244 0,015188977 -0,001871944

3 66,11260385,6459562

9 1,8202841,9327

1 -0,112423 0,012638843 -0,001420892

4 66,50174185,6459562

9 1,8228331,9327

1 -0,109874 0,012072262 -0,001326426

5 68,19553985,6459562

9 1,8337561,9327

1 -0,098951 0,00979128 -0,000968856

6 68,95313785,6459562

9 1,8385541,9327

1 -0,094153 0,008864756 -0,000834642

7 77,46852185,6459562

9 1,8891251,9327

1 -0,043582 0,001899356 -8,2777E-05

8 78,53190685,6459562

9 1,8950461,9327

1 -0,037661 0,00141833 -5,34153E-05

9 81,64308585,6459562

9 1,9119191,9327

1 -0,020787 0,000432118 -8,98264E-06

10 81,95011785,6459562

9 1,9135501,9327

1 -0,019157 0,000367001 -7,03075E-06


20 ALLAN ACHMAT (41109010017)[P

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11 83,70605385,6459562

9 1,9227571,9327

1 -0,009950 9,90025E-05 -9,85074E-07

12 84,90326485,6459562

9 1,9289241,9327

1 -0,003782 1,43071E-05 -5,41165E-08

13 89,21457285,6459562

9 1,9504361,9327

1 0,017729 0,000314315 5,57247E-06

14 89,58764385,6459562

9 1,9522481,9327

1 0,019541 0,00038186 7,46203E-06

15 92,55400285,6459562

9 1,9663951,9327

1 0,033688 0,001134904 3,8233E-05

16 92,85638385,6459562

9 1,9678121,9327

1 0,035105 0,001232354 4,32617E-05

17 92,96155885,6459562

9 1,9683031,9327

1 0,035597 0,001267113 4,51048E-05

18 94,73708485,6459562

9 1,9765201,9327

1 0,043813 0,001919592 8,41034E-05

19 95,29139085,6459562

9 1,9790541,9327

1 0,046347 0,002148026 9,95541E-05

20 101,12316185,6459562

9 2,0048511,9327

1 0,072144 0,005204724 0,000375488

21 103,79471585,6459562

9 2,0161751,9327

1 0,083468 0,00696697 0,000581522

22 146,29360185,6459562

9 2,1652251,9327

1 0,232518 0,054064837 0,012571073

1884,211038

42,334946 -0,184605 0,154579987 0,005027661

Perhitungan:

Si = Cs =

= =

Si = 0,0858 Cs = 0,0016

Perhitungan Curah Hujan Rencana Dengan PMP

Tabel Perhitungan Hujan Rencana Kala Ulang 10, 50,dan 100 tahun.


21 ALLAN ACHMAT (41109010017)[P

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Tahun Cs G = k Si Log log xt xt10 0 1,282 0,0858 1,93271 2,04 110,3350 0 2,054 0,0858 1,93271 2,11 128,51100 0 2,326 0,0858 1,93271 2,13 135,61

Keterangan :

Log xt = Log + G . Si

Perhitungan PMP

No

xi (xi - ) (xi - )² xi² No

xi (xi - ) (xi - )² xi²

( mm ) ( mm ) ( mm ) ( mm ) ( mm ) ( mm ) ( mm

) ( mm ) ( mm ) ( mm )

1 63,345282 85,65 -22,30067 497,32006 4012,625 1 63,345282 82,76 -19,412691 376,85257 4012,62482 64,485682 85,65 -21,16432 447,92836 4158,403 2 64,485682 82,76 -18,274318 333,95070 4158,40323 66,112603 85,65 -19,53740 381,70990 4370,876 3 66,112603 82,76 -16,647398 277,13584 4370,87624 66,501741 85,65 -19,14826 366,65583 4422,482 4 66,501741 82,76 -16,258259 264,33099 4422,48155 68,195539 85,65 -17,45446 304,65820 4650,632 5 68,195539 82,76 -14,564461 212,12352 4650,63166 68,953137 85,65 -16,69686 278,78523 4754,535 6 68,953137 82,76 -13,806863 190,62946 4754,53517 77,468521 85,65 -8,18148 66,93661 6001,372 7 77,468521 82,76 -5,291480 27,99976 6001,37178 78,531906 85,65 -7,11809 50,66726 6167,260 8 78,531906 82,76 -4,228094 17,87678 6167,26029 81,643085 85,65 -4,00691 16,05537 6665,593 9 81,643085 82,76 -1,116915 1,24750 6665,5934

10 81,950117 85,65 -3,69988 13,68913 6715,822 10 81,950117 82,76 -0,809883 0,65591 6715,821711 83,706053 85,65 -1,94395 3,77893 7006,703 11 83,706053 82,76 0,946053 0,89502 7006,703312 84,903264 85,65 -0,74674 0,55762 7208,564 12 84,903264 82,76 2,143264 4,59358 7208,564213 89,214572 85,65 3,56457 12,70617 7959,240 13 89,214572 82,76 6,454572 41,66150 7959,239914 89,587643 85,65 3,93764 15,50503 8025,946 14 89,587643 82,76 6,827643 46,61670 8025,945715 92,554002 85,65 6,90400 47,66524 8566,243 15 92,554002 82,76 9,794002 95,92247 8566,243216 92,856383 85,65 7,20638 51,93196 8622,308 16 92,856383 82,76 10,096383 101,93695 8622,307917 92,961558 85,65 7,31156 53,45888 8641,851 17 92,961558 82,76 10,201558 104,07179 8641,851318 94,737084 85,65 9,08708 82,57510 8975,115 18 94,737084 82,76 11,977084 143,45054 8975,115119 95,291390 85,65 9,64139 92,95641 9080,449 19 95,291390 82,76 12,531390 157,03574 9080,449120 101,123161 85,65 15,47316 239,41871 10225,894 20 101,123161 82,76 18,363161 337,20568 10225,893721 103,794715 85,65 18,14471 329,23068 10773,343 21 103,794715 82,76 21,034715 442,45923 10773,342822 146,293601 85,65 60,64360 3677,64631 21401,818 1737,91744 -0,040536 3178,65224 147005,2556 1884,21104 -0,084918 7031,83698 168407,1

Perhitungan :

Untuk jumlah data n = 22

Sd = = = 18,30 mm


22 ALLAN ACHMAT (41109010017)[P

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= = = 85,65

Untuk jumlah data n = 21

Sd = = = 12,30 mm

= = = 82,76

Persamaan Rata – Rata :

= = 0,966

Lihat gambar 8.14 buku CD Sumarto “ Hidrologi Teknik ” dengan n =

22, diperoleh harga faktor adjusment (a1) = 101 % (1.03) dan dari

gambar 8.16 untuk n = 22 diperoleh harga faktor adjusment (a2) =

107,5 % (1.02).

= terkoreksi = . a1 . a2

= 85,65 x 1,01 x 1,1 = 95,15 mm

Persamaan Standar Deviasi

= = 0,672 mm

Lihat gambar 8.15 n = 22 b1 = 74 % = 0.74

Lihat gambar 8.16 n = 22 b2 = 104 % = 1,04

Sn terkoreksi Sn = Sd1 x b1 x b2


23 ALLAN ACHMAT (41109010017)[P

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= 18,30 x 0,74 x 1,04 = 14,08 mm

= 95,15 mm, dengan durasi 24 Jam ( 1 hari ) lihat gambar 8.13

Diperoleh Km = 15.5

A = Luas Total

A = A Depok + A Parung + A Bogor + A Sawangan =

67,32km²

Lihat gambar 8.17 diperoleh presentase kemungkinan sebesar ( c ) =

98 %

Xm = + Km . Sd1

Xm = 95,15 + (15,5 x 18,30 ) = 378,80 mm

Maka (PMP)

Xt = Xm x faktor reduksi luasan x fixed time (PMP)

= 378,80 x 0,98 x 1

Xt = 371,22 mm

ANALISA DEBIT BANJIR RENCANADistribusi hujan jam – jaman metode Mononobe

Rumus: RT =

Perhitungan


24 ALLAN ACHMAT (41109010017)[P

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T = 1 R1 = = 0,55 R22

T = 2 R2 = = 0,35 R22

T = 3 R3 = = 0,27 R22

T = 4 R4 = = 0,22 R22

T = 5 R5 = = 0,19 R22

T = 6 R6 = = 0,17 R22

Perhitungan Jam – JamanRumus: Rt = (t x RT) – (t – 1) x (RT-1).

t = 1 jam R1 = 1 x (0,55 R22) – (1 – 1) x (R1 – 1)

= 0,55 R22 = 55 %

t = 2 jam R1 = 2 x (0,35 R22) – (2 – 1) x (R2 – 1)

= 0,15 R22 = 15 %

t = 3 jam R1 = 3 x (0,27 R22) – (3 – 1) x (R3 – 1)

= 0,11 R22 = 11 %

t = 4 jam R1 = 4 x (0,22 R22) – (4 – 1) x (R4 – 1)

= 0,07 R22 = 7 %

t = 5 jam R1 = 5 x (0,19 R22) – (5 – 1) x (R5 – 1)

= 0,07 R22 = 7 %

t = 6 jam R1 = 6 x (0,17 R22) – (6 – 1) x (R6 – 1)

= 0,07 R22 = 7 %

Data – Data1) Untuk CH dan kala ulang 10 thn = 110,3 mm

2) Untuk CH dan kala ulang 50 thn = 128,5 mm


25 ALLAN ACHMAT (41109010017)[P

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3) Untuk CH dan kala ulang 100 thn = 135,6 mm

4) Untuk Perhitungan PMP = 371,2 mm

5) Koefisien pengaliran (C) = 1,2

Rumus: Hujan Netto (MK) = Kala ulang/periode x Koefisien

Pengaliran

Perhitungan

Tabel Nisbah Hujan Jam - Jaman Tr = 10 thnJam Nisbah (%) Hujan Jam - Jaman R (Rt x Hujan Netto)

1 55 0,55 Mk 72,802 15 0,15 Mk 19,853 11 0,11 Mk 14,564 7 0,07 Mk 9,275 7 0,07 Mk 9,276 7 0,07 Mk 9,27

Ket:

Mk (Tr = 10) = 110,3 x 1,2 = 132,360


1 55 0,55 Mk 84,812 15 0,15 Mk 23,133 11 0,11 Mk 16,964 7 0,07 Mk 10,795 7 0,07 Mk 10,796 7 0,07 Mk 10,79

Ket:

Mk (Tr = 50) = 128,5 x 1,2 = 154,200


1 55 0,55 Mk 62,11


26 ALLAN ACHMAT (41109010017)[P

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2 15 0,15 Mk 16,943 11 0,11 Mk 12,424 7 0,07 Mk 7,95 7 0,07 Mk 7,96 7 0,07 Mk 7,9

Ket:

Mk (Tr = 100) = 135,6 x 1,2 = 162,720

Tabel Nisbah Hujan Jam - Jaman PMPJam Nisbah (%) Hujan Jam - Jaman R (Rt x Hujan Netto)

1 55 0,55 Mk 244,992 15 0,15 Mk 66,823 11 0,11 Mk 49,004 7 0,07 Mk 31,185 7 0,07 Mk 31,186 7 0,07 Mk 31,18

Ket:

Mk (Tr = 100) = 371,2 x 1,2 = 445,440

Parameter Data Daerah Aliran Sungai (DAS)1) Luas DAS (Atotal) = 67,32 km2

2) Luas DAS Hulu (Au) = 46,05 km2

3) Lebar DAS ¾ L (B1) = 4,30 km


27 ALLAN ACHMAT (41109010017)[P

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4) Lebar DAS ¼ L (B2) = 3,19 km

5) Panjang sungai utama (L) = 44,79 km

6) Slope/kemiringan sungai (S) = 0,00427

7) Jumlah panjang sungai semua tingkat (LN) = 90,5 km

8) Jumlah panjang sungai tingkat satu (L1) = 6,2 x 44,79 = 277,70 km

9) Jumlah pertemuan sungai (JN) = 36

10) Jumlah pangsa sungai semua tingkat (PN) = 53

11) Jumlah pangsa sungai tingkat satu (P1) = 31

12) Beda tinggi elevasi sungai hulu dan hilir rerata (H) = 105 m

Perhitungan1) Faktor sumber (SF)

2) Frekuensi sumber (SN)

3) Faktor Lebar (WF)

4) Luas DAS sebelum hulu (RUA)

5) Faktor simetris (SIM)

SIM = WF x RUA

= 1,35 x 0,68 = 0,918

6) Kerapatan jaring kuras (D)

7) Waktu naik hidrograf (TR)

TR = + 1,0665 x SIM + 1,2775

= + 1,0665 x 0,918 + 1,2775


28 ALLAN ACHMAT (41109010017)[P

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TR = 2,26 d

8) Debit puncak hidrograf (QP)

QP = 0,1836 x A0,5886 x TR-0,4008 x JN0,2381

= 0,1836 x (67,320,5886) x (2,26-0,4008) x (360,2381)

QP = 3,70 m3/detik

9) Waktu dasar hidrograf (TB)

TB = 27,4132 x TR0,1457 x S-0,0986 x SN0,7344 x RUA0,25

= 27,4132 x (2,260,1457) x (0,00427-0,0986) x (0,5850,7344) x (0,680,25)

TB = 32,38 = 32 jam

10) Koefisien penampang (K)

K = 0,5617 x A0,1793 x S-0,1446 x SF-1,0897 x D0,0452

= 0,5617 x (67,320,1793) x (0,00427-0,1446) x (3,07-1,0897) x

(1,340,0452)

K = 0,78

11) Aliran dasar (QB)

QB = 0,45741 x A0,6444 x D0,9430

= 0,45741 x (67,320,6444) x (1,340,9430)

QB = 9,43 m3/detik

12) Debit resesif hidrograf (Qt)

Qt = QP x e-t/k dimana e = 2,74

Tabel QtJam QT = QP x e-t/k

(t) (m3/detik)0 01 1,016209042 0,2791029223 0,0766559224 0,021053633


29 ALLAN ACHMAT (41109010017)[P

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5 0,0057824036 0,0015881437 0,0004361858 0,0001197999 3,29029E-0510 9,03681E-0611 2,48197E-0612 6,81675E-0713 1,87223E-0714 5,1421E-0815 1,41228E-0816 3,87885E-0917 1,06533E-0918 2,92594E-1019 8,03613E-1120 2,20713E-1121 6,06191E-1222 1,66491E-1223 4,5727E-1324 1,2559E-1325 3,44933E-1426 9,47363E-1527 2,60194E-1528 7,14626E-1629 1,96273E-1630 5,39066E-1731 1,48055E-1732 4,06635E-18

Analisa Debit Banjir Rencana Dengan Metode GAMMA I

Untuk TR = 10 tahunt QT = QP x e-

t/k R1 R2 R3 R4 R5 R6 QBQ(jam

) (m3/detik) 49,59 13,53 9,92 6,31 6,31 6,31 8,84

0 0 0 - - - - -9,43 9,43

1 1,0162090473,980018

08 0 - - - -9,43

83,41001808

2 0,279102922 20,318692 20,171749 0 - - - 9,4 49,920442


30 ALLAN ACHMAT (41109010017)[P

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]

73 43 3 17

3 0,0766559225,5805511

425,5401930

0514,796003

62 0 - -9,43

35,34674776

4 0,0210536331,5327044

641,5216200

574,0637385

479,4202577

96 0 -9,43

25,96832086

5 0,0057824030,4209589

540,4179146

11,1161102

282,5872840

889,4202577

96 09,43

23,39252568

6 0,0015881430,1156168

360,1147807

040,3065408

93 0,71060042,5872840

889,4202577

969,43

22,68508072

7 0,0004361850,0317542

90,0315246

460,0841917

910,1951671

76 0,71060042,5872840

889,43

13,07052239

8 0,0001197990,0087213

510,0086582

780,0231233

670,0536028

780,1951671

76 0,71060049,43

10,42987345

9 3,29029E-050,0023953

280,0023780

060,0063508

580,0147220

890,0536028

780,1951671

769,43

9,704616334

10 9,03681E-060,0006578

80,0006531

220,0017442

70,0040434

380,0147220

890,0536028

789,43

9,505423676

11 2,48197E-060,0001806

870,0001793

810,0004790

660,0011105

350,0040434

380,0147220

899,43

9,450715195

12 6,81675E-074,9626E-

054,92671E-

050,0001315

760,0003050

10,0011105

350,0040434

389,43

9,435689451

13 1,87223E-071,36298E-

051,35313E-

053,61375E-

058,37712E-

050,0003050

10,0011105

359,43

9,431562614

14 5,1421E-083,74345E-

063,71637E-

069,9252E-

062,30079E-

058,37712E-

050,0003050

19,43

9,430429174

15 1,41228E-081,02814E-

061,02071E-

062,72597E-

066,31913E-

062,30079E-

058,37712E-

059,43

9,430117873

16 3,87885E-092,8238E-

072,80338E-

077,48689E-

071,73556E-

066,31913E-

062,30079E-

059,43

9,430032374

17 1,06533E-097,75561E-

087,69952E-

082,05628E-

074,76672E-

071,73556E-

066,31913E-

069,43

9,430008892

18 2,92594E-102,13009E-

082,11468E-

085,64761E-

081,30919E-

074,76672E-

071,73556E-

069,43

9,430002442

19 8,03613E-115,8503E-

095,80799E-

091,55112E-

083,59569E-

081,30919E-

074,76672E-

079,43

9,430000671

20 2,20713E-111,60679E-

091,59517E-

094,26017E-

099,87561E-

093,59569E-

081,30919E-

079,43

9,430000184

21 6,06191E-124,41307E-

104,38116E-

101,17006E-

092,71235E-

099,87561E-

093,59569E-

089,43

9,430000051

22 1,66491E-121,21206E-

101,20329E-

103,21358E-

107,44949E-

102,71235E-

099,87561E-

099,43

9,430000014

23 4,5727E-133,32892E-

113,30485E-

118,82614E-

112,04601E-

107,44949E-

102,71235E-

099,43

9,430000004

24 1,2559E-139,14292E-

129,0768E-

122,42411E-

115,61939E-

112,04601E-

107,44949E-

109,43

9,430000001

25 3,44933E-142,51111E-

122,49295E-

126,65785E-

121,54337E-

115,61939E-

112,04601E-

109,43 9,43

26 9,47363E-156,8968E-

136,84692E-

131,82858E-

124,23889E-

121,54337E-

115,61939E-

119,43 9,43

27 2,60194E-151,89421E-

131,88052E-

135,02223E-

131,16422E-

124,23889E-

121,54337E-

119,43 9,43

28 7,14626E-165,20248E-

145,16486E-

141,37936E-

133,19753E-

131,16422E-

124,23889E-

129,43 9,43

29 1,96273E-161,42887E-

141,41853E-

143,78843E-

148,78205E-

143,19753E-

131,16422E-

129,43 9,43


31 ALLAN ACHMAT (41109010017)[P

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30 5,39066E-173,9244E-

153,89602E-

151,0405E-

14 2,412E-148,78205E-

143,19753E-

139,43 9,43

31 1,48055E-171,07784E-

151,07005E-

152,85773E-

156,62459E-

15 2,412E-148,78205E-

149,43 9,43

32 4,06635E-182,9603E-

162,93889E-

167,8488E-

161,81945E-

156,62459E-

15 2,412E-149,43 9,43

Jadi

- Qmax = 83,41001808 m3/dtk

- Qawal = Qakhir = 9,43 m3/dtk



) (m3/detik) 58,72 16,01 11,74 7,47 7,47 7,47 8,84

0 0 0 - - - - -9.43 9.43

1 1,0162090486,184688

64 0 - - - -9.43

95.61468864

2 0,27910292223,670718

8323,504915

08 0 - - -9.43

56.60563391

3 0,0766559226,5011887

696,4556505

917.234905

31 0 - -9.43

39.62174467

4 0,0210536331,7855585

931,7730514

824.7335855

610.964895

54 0 -9.43

28.68709117

5 0,0057824030,4904056

170,4869705

251.3000844

423.0115205

310.964895

54 09.43

25.68387665

6 0,0015881430,1346904

380,1337469

860.3570696

110.8271174

013.0115205

310.964895

549.43

24.8590405

7 0,0004361850,0369928

760,0367337

560.0980695

590.2271686

970.8271174

013.0115205

39.43

13.66760282

8 0,0001197990,0101601

340,0100889

660.0269349

110.0623921

310.2271686

970.8271174

019.43

10.59386224

9 3,29029E-050,0027904

920,0027709

460.0073977

030.0171360

670.0623921

310.2271686

979.43

9.749656035

10 9,03681E-060,0007664

120,0007610

430.0020317

870.0047064

390.0171360

670.0623921

319.43

9.517793879

11 2,48197E-060,0002104

960,0002090

210.0005580

330.0012926

290.0047064

390.0171360

679.43

9.454112685

12 6,81675E-075,78129E-

055,74079E-

050.0001532

640.0003550

220.0012926

290.0047064

399.43

9.436622575

13 1,87223E-071,58784E-

051,57672E-

054.20942E-

059.75072E-

050.0003550

220.0012926

299.43

9.431818898

14 5,1421E-084,36101E-

064,33047E-

061.15612E-

052.67804E-

059.75072E-

050.0003550

229.43

9.430499562

15 1,41228E-081,19776E-

061,18937E-

063.1753E-

067.35528E-

062.67804E-

059.75072E-

059.43

9.430137205

16 3,87885E-093,28965E-

073,26661E-

07 8.721E-072.02014E-

067.35528E-

062.67804E-

059.43

9.430037684


32 ALLAN ACHMAT (41109010017)[P

ick

th

e d

ate

]

17 1,06533E-099,03507E-

088,97178E-

082.39523E-

075.54832E-

072.02014E-

067.35528E-

069.43

9.43001035

18 2,92594E-102,48149E-

082,46411E-

086.57853E-

081.52385E-

075.54832E-

072.02014E-

069.43

9.430002843

19 8,03613E-116,81544E-

096,7677E-

091.8068E-

084.18528E-

081.52385E-

075.54832E-

079.43

9.430000781

20 2,20713E-111,87187E-

091,85876E-

094.9624E-

091.14949E-

084.18528E-

081.52385E-

079.43

9.430000214

21 6,06191E-125,14111E-

105,1051E-

101.36293E-

093.15709E-

091.14949E-

084.18528E-

089.43

9.430000059

22 1,66491E-121,41201E-

101,40212E-

103.7433E-

108.67098E-

103.15709E-

091.14949E-

089.43

9.430000016

23 4,5727E-133,8781E-

113,85094E-

111.0281E-

102.3815E-

108.67098E-

103.15709E-

099.43

9.430000004

24 1,2559E-131,06513E-

111,05766E-

112.82369E-

116.5408E-

112.3815E-

108.67098E-

109.43

9.430000001

25 3,44933E-142,92538E-

122,90489E-

127.75529E-

121.79644E-

116.5408E-

112.3815E-

109.43 9.43

26 9,47363E-158,03458E-

137,9783E-

13 2.13E-124.93394E-

121.79644E-

116.5408E-

119.43 9.43

27 2,60194E-152,20671E-

132,19125E-

135.85007E-

131.35511E-

124.93394E-

121.79644E-

119.43 9.43

28 7,14626E-166,06075E-

146,01829E-

141.60673E-

133.72183E-

131.35511E-

124.93394E-

129.43 9.43

29 1,96273E-161,66459E-

141,65293E-

144.41289E-

141.0222E-

133.72183E-

131.35511E-

129.43 9.43

30 5,39066E-174,57182E-

154,53979E-

151.21201E-

142.8075E-

141.0222E-

133.72183E-

139.43 9.43

31 1,48055E-171,25565E-

151,24686E-

153.32879E-

157.71082E-

152.8075E-

141.0222E-

139.43 9.43

32 4,06635E-183,44867E-

163,42451E-

169.14255E-

162.11778E-

157.71082E-

152.8075E-

149.43 9.43

Jadi

- Qmax = 95,61468864 m3/dtk




) (m3/detik) 62,11 16,94 12,42 7,9 7,9 7,9 8,84

0 0 0 - - - - -9.43 9.43

1 1.0162090490.950709

04 0 - - - -9.43

100.380709

2 0.27910292224.979711

5324.805662

65 0 - - -9.43

59.21537419


33 ALLAN ACHMAT (41109010017)[P

ick

th

e d

ate

]

3 0.0766559226.8607050

456.8129023

318.190141

81 0 - -9.43

41.29374918

4 0.0210536331.8843001

311.8711710

634.9959423

0711.574620

96 0 -9.43

29.75603446

5 0.0057824030.5175250

880.5139191

751.3721410

093.1789822

8311.574620

96 09.43

26.58718852

6 0.0015881430.1421388

30.1411484

630.3768600

260.8731109

553.1789822

8311.574620

969.43

25.71686152

7 0.0004361850.0390385

850.0387665

790.1035050

180.2398008

770.8731109

553.1789822

839.43

13.9032043

8 0.0001197990.0107219

90.0106472

830.0284277

660.0658615

730.2398008

770.8731109

559.43

10.65857044

9 3.29029E-050.0029448

060.0029242

880.0078077

170.0180889

530.0658615

730.2398008

779.43

9.767428214

10 9.03681E-060.0008087

940.0008031

590.0021443

980.0049681

510.0180889

530.0658615

739.43

9.522675027

11 2.48197E-060.0002221

360.0002205

880.0005889

610.0013645

080.0049681

510.0180889

539.43

9.455453297

12 6.81675E-07 6.101E-056.05849E-

050.0001617

590.0003747

640.0013645

080.0049681

519.43

9.436990776

13 1.87223E-071.67565E-

051.66397E-

054.44272E-

050.0001029

290.0003747

640.0013645

089.43

9.431920024

14 5.1421E-084.60218E-

064.57011E-

061.2202E-

052.82696E-

050.0001029

290.0003747

649.43

9.430527337

15 1.41228E-081.26399E-

061.25519E-

063.35129E-

067.76428E-

062.82696E-

050.0001029

299.43

9.430144834

16 3.87885E-093.47157E-

073.44738E-

079.20436E-

072.13247E-

067.76428E-

062.82696E-

059.43

9.430039779

17 1.06533E-099.53471E-

089.46827E-

082.52799E-

075.85685E-

072.13247E-

067.76428E-

069.43

9.430010925

18 2.92594E-102.61872E-

082.60047E-

086.94314E-

081.60859E-

075.85685E-

072.13247E-

069.43

9.430003001

19 8.03613E-117.19234E-

097.14222E-

091.90694E-

084.41801E-

081.60859E-

075.85685E-

079.43

9.430000824

20 2.20713E-111.97538E-

091.96162E-

095.23744E-

091.21341E-

084.41801E-

081.60859E-

079.43

9.430000226

21 6.06191E-125.42541E-

105.38761E-

101.43847E-

093.33265E-

091.21341E-

084.41801E-

089.43

9.430000062

22 1.66491E-121.4901E-

101.47971E-

103.95077E-

109.15315E-

103.33265E-

091.21341E-

089.43

9.430000017

23 4.5727E-134.09256E-

114.06405E-

111.08508E-

102.51392E-

109.15315E-

103.33265E-

099.43

9.430000005

24 1.2559E-131.12403E-

111.1162E-

112.98019E-

116.90452E-

112.51392E-

109.15315E-

109.43

9.430000001

25 3.44933E-143.08715E-

123.06564E-

128.18513E-

121.89633E-

116.90452E-

112.51392E-

109.43 9.43

26 9.47363E-158.4789E-

138.41982E-

132.24805E-

125.2083E-

121.89633E-

116.90452E-

119.43 9.43

27 2.60194E-152.32874E-

132.31251E-

136.1743E-

131.43047E-

125.2083E-

121.89633E-

119.43 9.43

28 7.14626E-166.3959E-

146.35134E-

141.69578E-

133.92879E-

131.43047E-

125.2083E-

129.43 9.43

29 1.96273E-161.75664E-

141.7444E-

144.65748E-

141.07905E-

133.92879E-

131.43047E-

129.43 9.43

30 5.39066E-17 4.82464E- 4.79102E- 1.27918E- 2.96361E- 1.07905E- 3.92879E- 9.4 9.43


34 ALLAN ACHMAT (41109010017)[P

ick

th

e d

ate

]

15 15 14 14 13 13 3

31 1.48055E-171.32509E-

151.31586E-

153.51328E-

158.13959E-

152.96361E-

141.07905E-

139.43 9.43

32 4.06635E-183.63938E-

163.61402E-

169.64927E-

162.23555E-

158.13959E-

152.96361E-

149.43 9.43

Jadi

- Qmax = 100,380709 m3/dtk


Untuk TR = PMPt QT = QP x e-

t/kR1 R2 R3 R4 R5 R6 QB Q

(jam)

(m3/detik) 62,11 16,94 12,42 7,9 7,9 7,9 8,84

0 0 0 - - - - -9.43 9.43

1 1.01620904248.961052

6 0 - - - -9.43

258.3910526

2 0.279102922 68.377424967.9030880

2 0 - - -9.43

145.7105129

3 0.076655922 18.779934418.6496572

649.7942429

4 0 - -9.43 96.6538346

4 0.0210536335.15792948

65.12214872

713.6760431

931.6853978

5 0 -9.43

65.07151925

5 0.0057824031.41663096

5 1.406803743.75614019

28.70242911

331.6853978

5 09.43

56.39740186

6 0.0015881430.38907924

10.38638018

31.03162800

52.39013165

78.70242911

331.6853978

59.43

54.01504605

7 0.0004361850.10686103

80.10611973

90.28333775

80.65645226

92.39013165

78.70242911

39.43

21.67533157

8 0.0001197990.02934950

10.02914590

20.07781902

40.18029533

20.65645226

92.39013165

79.43

12.79319369

9 3.29029E-050.00806087

20.00800495

4 0.02137308 0.049518310.18029533

20.65645226

99.43

10.35370482

10 9.03681E-060.00221392

70.00219856

9 0.005870140.01360025

8 0.049518310.18029533

29.43

9.683696537

11 2.48197E-060.00060805

80.00060383

9 0.001612240.00373532

60.01360025

8 0.049518319.43

9.499678031

12 6.81675E-070.00016700

40.00016584

50.00044280

40.00102591

10.00373532

60.01360025

89.43

9.449137147

13 1.87223E-074.58677E-

054.55496E-

050.00012161

60.00028176

80.00102591

10.00373532

69.43

9.435256038

14 5.1421E-081.25976E-

051.25102E-

053.34021E-

057.73878E-

050.00028176

80.00102591

19.43

9.431443577

15 1.41228E-08 3.45995E- 3.43595E- 9.17392E- 2.12546E- 7.73878E- 0.00028176 9.4 9.43039648


35 ALLAN ACHMAT (41109010017)[P

ick

th

e d

ate

]

06 06 06 05 05 8 3

16 3.87885E-099.50279E-

079.43687E-

072.51963E-

065.83761E-

062.12546E-

057.73878E-

059.43

9.430108894

17 1.06533E-092.60995E-

072.59185E-

076.92019E-

071.60331E-

065.83761E-

062.12546E-

059.43

9.430029908

18 2.92594E-107.16826E-

087.11854E-

081.90064E-

07 4.4035E-071.60331E-

065.83761E-

069.43

9.430008214

19 8.03613E-111.96877E-

081.95511E-

085.22012E-

081.20943E-

07 4.4035E-071.60331E-

069.43

9.430002256

20 2.20713E-115.40725E-

095.36974E-

091.43371E-

08 3.3217E-081.20943E-

07 4.4035E-079.43 9.43000062

21 6.06191E-121.48511E-

091.47481E-

09 3.9377E-099.12309E-

09 3.3217E-081.20943E-

079.43 9.43000017

22 1.66491E-124.07887E-

104.05057E-

101.08149E-

092.50567E-

099.12309E-

09 3.3217E-089.43

9.430000047

23 4.5727E-131.12026E-

101.11249E-

102.97034E-

106.88184E-

102.50567E-

099.12309E-

099.43

9.430000013

24 1.2559E-133.07682E-

113.05548E-

118.15806E-

11 1.8901E-106.88184E-

102.50567E-

099.43

9.430000004

25 3.44933E-148.45052E-

12 8.3919E-122.24062E-

115.19119E-

11 1.8901E-106.88184E-

109.43

9.430000001

26 9.47363E-152.32094E-

122.30484E-

126.15389E-

121.42577E-

115.19119E-

11 1.8901E-109.43 9.43

27 2.60194E-15 6.3745E-136.33028E-

131.69017E-

123.91588E-

121.42577E-

115.19119E-

119.43 9.43

28 7.14626E-161.75076E-

131.73862E-

134.64208E-

13 1.0755E-123.91588E-

121.42577E-

119.43 9.43

29 1.96273E-164.80849E-

144.77513E-

141.27495E-

132.95388E-

13 1.0755E-123.91588E-

129.43 9.43

30 5.39066E-171.32066E-

14 1.3115E-143.50167E-

148.11286E-

142.95388E-

13 1.0755E-129.43 9.43

31 1.48055E-17 3.6272E-153.60204E-

159.61737E-

15 2.2282E-148.11286E-

142.95388E-

139.43 9.43

32 4.06635E-189.96214E-

169.89303E-

162.64142E-

156.11979E-

15 2.2282E-148.11286E-

149.43 9.43

Jadi

- Qmax = 258,3910526 m3/dtk



36 ALLAN ACHMAT (41109010017)[P

ick

th

e d

ate

]

Hidrograf Banjir Metode GAMMA

0

50

100

150

200

250

300

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33

Jam ( t )

Deb

it ( Q

)

TR = 10 Tahun TR = 50 Tahun TR = 100 Tahun TR = PMP


allan achmat_41109010017 (tb hidrologi

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