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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
TUGAS BESAR HIDROLOGI
GRAFIK TINGGI HUJAN DAN TINGGI RATA-RATA STA.DEPOK
0
500
1000
1500
2000
2500
0 1000 2000 3000 4000komulatif rata-rata station hujan (mm)
kom
ulat
if st
atio
n D
epok
(mm
)
tinggi hujan
4 ALLAN ACHMAT (41109010017)[P
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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
TUGAS BESAR HIDROLOGI
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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
Datayang telah terkoreksi
Hz = Pdp x FkHuja
nKumulatif
(y) Hujan Kumulatif (x)
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
TUGAS BESAR HIDROLOGI
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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
TUGAS BESAR HIDROLOGI
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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
Datayang telah terkoreksi
Hz = Pdp x FkHuja
nKumulatif
(y) Hujan Kumulatif (x)
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
TUGAS BESAR HIDROLOGI
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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
TUGAS BESAR HIDROLOGI
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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
Datayang telah terkoreksi
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
TUGAS BESAR HIDROLOGI
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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
TUGAS BESAR HIDROLOGI
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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
TUGAS BESAR HIDROLOGI
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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
TUGAS BESAR HIDROLOGI
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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)
TUGAS BESAR HIDROLOGI
- 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
TUGAS BESAR HIDROLOGI
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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
TUGAS BESAR HIDROLOGI
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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
TUGAS BESAR HIDROLOGI
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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
TUGAS BESAR HIDROLOGI
18 ALLAN ACHMAT (41109010017)[P
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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
TUGAS BESAR HIDROLOGI
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
TUGAS BESAR HIDROLOGI
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.
TUGAS BESAR HIDROLOGI
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
TUGAS BESAR HIDROLOGI
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
TUGAS BESAR HIDROLOGI
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
TUGAS BESAR HIDROLOGI
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
TUGAS BESAR HIDROLOGI
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
Tabel Nisbah Hujan Jam - Jaman Tr = 50 thnJam Nisbah (%) Hujan Jam - Jaman R (Rt x Hujan Netto)
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
Tabel Nisbah Hujan Jam - Jaman Tr = 100 thnJam Nisbah (%) Hujan Jam - Jaman R (Rt x Hujan Netto)
1 55 0,55 Mk 62,11
TUGAS BESAR HIDROLOGI
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
TUGAS BESAR HIDROLOGI
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
TUGAS BESAR HIDROLOGI
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
TUGAS BESAR HIDROLOGI
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
TUGAS BESAR HIDROLOGI
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
TUGAS BESAR HIDROLOGI
31 ALLAN ACHMAT (41109010017)[P
ick
th
e d
ate
]
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
Untuk TR = 50 tahunt QT = QP x e-
t/k R1 R2 R3 R4 R5 R6 QBQ(jam
) (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
TUGAS BESAR HIDROLOGI
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
- Qawal = Qakhir = 9,43 m3/dtk
Untuk TR = 100 tahunt QT = QP x e-
t/k R1 R2 R3 R4 R5 R6 QBQ(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 1.0162090490.950709
04 0 - - - -9.43
100.380709
2 0.27910292224.979711
5324.805662
65 0 - - -9.43
59.21537419
TUGAS BESAR HIDROLOGI
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
TUGAS BESAR HIDROLOGI
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
- Qawal = Qakhir = 9,43 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
TUGAS BESAR HIDROLOGI
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
- Qawal = Qakhir = 9,43 m3/dtk
TUGAS BESAR HIDROLOGI
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
TUGAS BESAR HIDROLOGI
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