septian baru

68
 soal No Tahun P1 p2 p5 p6 1 1980 76 123 47 90 2 1981 79 72 144 68 3 1982 64 59 50 56 4 1983 68 64 76 60 5 1984 75 111 143 6 1985 64 69 93 66 7 1986 68 143 46 129 8 1987 147 142 143 139 9 1988 90 126 189 49 10 1989 79 103 97 11 1990 93 167 70 162 12 1991 158 154 89 49 13 1992 143 124 126 131 14 1993 140 78 67 70 15 1994 135 79 133 16 1995 103 133 110 180 17 1996 81 143 152 18 1997 156 87 111 155 19 1998 175 103 163 159 20 1999 140 165 145 112 21 2000 130 147 189 132 dihitung dari atas dihitung da 1 data hilang sta p2 tahun 1984 1 data ch sta p1 75 data ch sta p5 111 data ch sta p6 143 data yang dipakai perhitungan 1980-1983  jumlah p1 287  jumlah p2 318  jumlah p5 317  jumlah p6 274 dp2= 120.1382 2 data hilang sta p6 tahun 1989 2 data ch sta p1 79 data ch sta p2 103 data ch sta p5 97

Upload: septianrp

Post on 18-Jul-2015

50 views

Category:

Documents


4 download

TRANSCRIPT

Page 1: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 1/68

soal

No Tahun P1 p2 p5 p6

1 1980 76 123 47 90

2 1981 79 72 144 683 1982 64 59 50 56

4 1983 68 64 76 60

5 1984 75 111 143

6 1985 64 69 93 66

7 1986 68 143 46 129

8 1987 147 142 143 139

9 1988 90 126 189 49

10 1989 79 103 97

11 1990 93 167 70 162

12 1991 158 154 89 49

13 1992 143 124 126 131

14 1993 140 78 67 70

15 1994 135 79 133

16 1995 103 133 110 180

17 1996 81 143 152

18 1997 156 87 111 155

19 1998 175 103 163 159

20 1999 140 165 145 112

21 2000 130 147 189 132

dihitung dari atas dihitung da

1 data hilang sta p2 tahun 1984 1

data ch sta p1 75

data ch sta p5 111

data ch sta p6 143

data yang dipakai perhitungan 1980-1983

 jumlah p1 287

 jumlah p2 318

 jumlah p5 317

 jumlah p6 274

dp2= 120.1382

2 data hilang sta p6 tahun 1989 2

data ch sta p1 79

data ch sta p2 103

data ch sta p5 97

Page 2: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 2/68

data yang dipakai perhitungan 1980-1988

 jumlah p1 731

 jumlah p2 918.1382

 jumlah p5 899

 jumlah p6 800

dp6= 87.50729

3 data hilang sta p1 tahun 1994 3

data ch sta p2 135

data ch sta p5 79

data ch sta p6 133

data yang dipakai perhitungan 1980-1993

 jumlah p1 1344

 jumlah p2 1544.138

 jumlah p5 1348

 jumlah p6 1299.507

dp1= 111.2739

4 data hilang sta p5 tahun 1996 4

data ch sta p1 81

data ch sta p2 143

data ch sta p6 152

data yang dipakai perhitungan 1980-1995

 jumlah p1 1558.274 jumlah p2 1812.138

 jumlah p5 1537

 jumlah p6 1612.507

dp5= 115.3549

analisa data hilang

1 sta p1

atas 111.2739

bawah 108.5936

rata-rata 3 sta 115.6667

selisih atas -4.39277

bawah -7.07303 atas -9.3923

bawah 19.34302

2 sta p2

atas 120.1382

Page 3: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 3/68

bawah 117.3952

rata-rata 3 sta 109.6667

selisih atas 10.47157

bawah 7.728566

3 sta p5atas 115.3549

bawah 140.2529

rata-rata 3 sta 125.3333

selisih atas -9.97839

bawah 14.91957

4 sta p6

atas 87.50729

bawah 96.76792

rata-rata 3 sta 93

selisih atas -5.49271

bawah 3.767918

Page 4: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 4/68

No Tahun P1 p2 p5 p6

1 1980 76 123 47 90

2 1981 79 72 144 683 1982 64 59 50 56

4 1983 68 64 76 60

5 1984 75 120.1382 111 143

6 1985 64 69 93 66

7 1986 68 143 46 129

8 1987 147 142 143 139

9 1988 90 126 189 49

10 1989 79 103 97 87.50729

11 1990 93 167 70 162

12 1991 158 154 89 49

13 1992 143 124 126 131

14 1993 140 78 67 70

15 1994 111.2379 135 79 133

16 1995 103 133 110 180

17 1996 81 143 115.3549 152

18 1997 156 87 111 155

19 1998 175 103 163 159

20 1999 140 165 145 112

21 2000 130 147 189 132

ri bawah

data hilang sta p5 tahun 1996

data ch sta p1 81

data ch sta p2 143

data ch sta p6 152

data yang dipakai perhitungan 1997-2000

 jumlah p1 601

 jumlah p2 502

 jumlah p5 608

 jumlah p6 558

dp5= 140.252906

data hilang sta p1 tahun 1994

data ch sta p2 135

data ch sta p5 79

data ch sta p6 133

Page 5: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 5/68

data yang dipakai perhitungan 1995 - 2000

 jumlah p1 785

 jumlah p2 778

 jumlah p5 858.252906

 jumlah p6 890

dp1= 108.593633

data hilang sta p6 tahun 1989

data ch sta p1 79

data ch sta p2 103

data ch sta p5 97

data yang dipakai perhitungan 1990-2000

 jumlah p1 1427.59363

 jumlah p2 1436

 jumlah p5 1289.25291

 jumlah p6 1435

dp6= 96.767918

data hilang sta p2 tahun 1984

data ch sta p1 75

data ch sta p5 111

data ch sta p6 143

data yang dipakai perhitungan 1985-2000

 jumlah p1 1875.59363 jumlah p2 2019

 jumlah p5 1857.25291

 jumlah p6 1914.76792

dp2= 117.395232

Page 6: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 6/68

No Tahun P1 kumulatif sta 1 rerata 3 sta kumulatif rerata

1 1980 76 2240.2739 86.66666667 2346.666797

2 1981 79 2164.2739 94.66666667 2260.00013

3 1982 64 2085.2739 55 2165.333463

4 1983 68 2021.2739 66.66666667 2110.333463

5 1984 75 1953.2739 124.7127333 2043.6667976 1985 64 1878.2739 76 1918.954063

7 1986 68 1814.2739 106 1842.954063

8 1987 147 1746.2739 141.3333333 1736.954063

9 1988 90 1599.2739 121.3333333 1595.62073

10 1989 79 1509.2739 95.83576333 1474.287397

11 1990 93 1430.2739 133 1378.451633

12 1991 158 1337.2739 97.33333333 1245.451633

13 1992 143 1179.2739 127 1148.1183

14 1993 140 1036.2739 71.66666667 1021.1183

15 1994 111.2739 896.2739 115.6666667 949.4516333

16 1995 103 785 141 833.7849667

17 1996 81 682 136.7849667 692.7849667

18 1997 156 601 117.6666667 556

19 1998 175 445 141.6666667 438.3333333

20 1999 140 270 140.6666667 296.6666667

21 2000 130 130 156 156

2240.274 27804.1085 2346.666797 28210.9324

data setelah diperbaiki

No Tahun P1 9 (Ho) Hz Kumulatif Perbaikan1 1980 76 61.52380952 2085.988186

2 1981 79 63.95238095 2024.464376

3 1982 64 51.80952381 1960.511995

4 1983 68 55.04761905 1908.702471

5 1984 75 60.71428571 1853.654852

6 1985 64 51.80952381 1792.940567

7 1986 68 55.04761905 1741.131043

8 1987 147 119 1686.083424

9 1988 90 72.85714286 1567.083424

10 1989 79 63.95238095 1494.226281

11 1990 93 1430.2739

12 1991 158 1337.2739

13 1992 143 1179.2739

14 1993 140 1036.2739

15 1994 111.2739 896.2739

16 1995 103 785

17 1996 81 682

18 1997 156 601

19 1998 175 445

Page 7: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 7/68

20 1999 140 270

21 2000 130 130

Page 8: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 8/68

p2 p5 p6

123 47 90

72 144 68

59 50 56

64 76 60

120.1382 111 14369 93 66

143 46 129

142 143 139

126 189 49

103 97 87.50729

167 70 162

154 89 49

124 126 131

78 67 70

135 79 133

133 110 180

143 115.3549 152

87 111 155

103 163 159

165 145 112

147 189 132

y1 1.7

x1 2

tan a 0.85

y2 2.1

x2 2

tan ao 1.05

Hz = 0.809524

Page 9: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 9/68

No Tahun P2 kumulatif sta rerata 3 sta kumulatif rerata

1 1980 123 2457.1382 71 2274.378697

2 1981 72 2334.1382 97 2203.378697

3 1982 59 2262.1382 56.66666667 2106.3786974 1983 64 2203.1382 68 2049.71203

5 1984 120.1382 2139.1382 109.6666667 1981.71203

6 1985 69 2019 74.33333333 1872.045363

7 1986 143 1950 81 1797.71203

8 1987 142 1807 143 1716.71203

9 1988 126 1665 109.3333333 1573.71203

10 1989 103 1539 87.83576333 1464.378697

11 1990 167 1436 108.3333333 1376.542933

12 1991 154 1269 98.66666667 1268.2096

13 1992 124 1115 133.3333333 1169.542933

14 1993 78 991 92.33333333 1036.2096

15 1994 135 913 107.7579667 943.8762667

16 1995 133 778 131 836.1183

17 1996 143 645 116.1183 705.1183

18 1997 87 502 140.6666667 589

19 1998 103 415 165.6666667 448.3333333

20 1999 165 312 132.3333333 282.6666667

21 2000 147 147 150.3333333 150.3333333

2457.138 28898.691 2274.378697 27846.07157

data setelah diperbaiki

No Tahun P2 Hz Kumulatif Perbaikan

1 1980 123 155.368421 2725.858779

2 1981 72 90.9473684 2570.490358

3 1982 59 74.5263158 2479.542989

4 1983 64 80.8421053 2405.016674

5 1984 120.1382 151.753516 2324.174568

6 1985 69 87.1578947 2172.421053

7 1986 143 180.631579 2085.263158

8 1987 142 179.368421 1904.631579

9 1988 126 159.157895 1725.263158

10 1989 103 130.105263 1566.105263

11 1990 167 1436

12 1991 154 1269

13 1992 124 1115

14 1993 78 991

15 1994 135 913

16 1995 133 778

17 1996 143 645

Page 10: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 10/68

18 1997 87 502

19 1998 103 415

20 1999 165 312

21 2000 147 147

Page 11: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 11/68

p1 p5 p6

76 47 90

79 144 68

64 50 5668 76 60

75 111 143

64 93 66

68 46 129

147 143 139

90 189 49

79 97 87.50729

93 70 162

158 89 49

143 126 131

140 67 70

111.2739 79 133

103 110 180

81 115.3549 152

156 111 155

175 163 159

140 145 112

130 189 132

y1 2.4

x1 2

tan a 1.2

y2 1.9

x2 2

tan ao 0.95

Hz = 1.263158

Page 12: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 12/68

No Tahun p5 kumulatif st rerata 3 sta kumulatif rerata

1 1980 47 2260.3549 96.33333333 2339.97313

2 1981 144 2213.3549 73 2243.639797

3 1982 50 2069.3549 59.66666667 2170.6397974 1983 76 2019.3549 64 2110.97313

5 1984 111 1943.3549 112.7127333 2046.97313

6 1985 93 1832.3549 66.33333333 1934.260397

7 1986 46 1739.3549 113.3333333 1867.927063

8 1987 143 1693.3549 142.6666667 1754.59373

9 1988 189 1550.3549 88.33333333 1611.927063

10 1989 97 1361.3549 89.83576333 1523.59373

11 1990 70 1264.3549 140.6666667 1433.757967

12 1991 89 1194.3549 120.3333333 1293.0913

13 1992 126 1105.3549 132.6666667 1172.757967

14 1993 67 979.3549 96 1040.0913

15 1994 79 912.3549 126.4246333 944.0913

16 1995 110 833.3549 138.6666667 817.6666667

17 1996 115.3549 723.3549 125.3333333 679

18 1997 111 608 132.6666667 553.6666667

19 1998 163 497 145.6666667 421

20 1999 145 334 139 275.3333333

21 2000 189 189 136.3333333 136.3333333

2260.355 27323.033 2339.97313

data setelah diperbaiki

No Tahun p5 ( Ho) Hz Kumulatif Perbaikan

1 1980 47 69.03125 2681.76115

2 1981 144 211.5 2612.7299

3 1982 50 73.4375 2401.2299

4 1983 76 111.625 2327.7924

5 1984 111 163.03125 2216.1674

6 1985 93 136.59375 2053.13615

7 1986 46 67.5625 1916.5424

8 1987 143 210.03125 1848.9799

9 1988 189 277.59375 1638.94865

10 1989 97 1361.3549

11 1990 70 1264.3549

12 1991 89 1194.3549

13 1992 126 1105.3549

14 1993 67 979.3549

15 1994 79 912.3549

16 1995 110 833.3549

17 1996 115.3549 723.3549

Page 13: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 13/68

18 1997 111 608

19 1998 163 497

20 1999 145 334

21 2000 189 189

Page 14: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 14/68

p1 (Ho) P2 p6

76 123 90

79 72 68

64 59 5668 64 60

75 120.1382 143

64 69 66

68 143 129

147 142 139

90 126 49

79 103 87.50729

93 167 162

158 154 49

143 124 131

140 78 70

111.2739 135 133

103 133 180

81 143 152

156 87 155

175 103 159

140 165 112

130 147 132

y1 2.35

x1 2

tan a 1.175

y2 1.6

x2 2

tan ao 0.8

Hz = 1.46875

Page 15: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 15/68

No Tahun p6 kumulatif sta rerata 3 sta

1 1980 90 2322.50729 82

2 1981 68 2232.50729 98.33333333

3 1982 56 2164.50729 57.666666674 1983 60 2108.50729 69.33333333

5 1984 143 2048.50729 102.0460667

6 1985 66 1905.50729 75.33333333

7 1986 129 1839.50729 85.66666667

8 1987 139 1710.50729 144

9 1988 49 1571.50729 135

10 1989 87.50729 1522.50729 93

11 1990 162 1435 110

12 1991 49 1273 133.6666667

13 1992 131 1224 131

14 1993 70 1093 95

15 1994 133 1023 108.4246333

16 1995 180 890 115.3333333

17 1996 152 710 113.1183

18 1997 155 558 118

19 1998 159 403 147

20 1999 112 244 150

21 2000 132 132 155.3333333

2322.507 28411.0729 2319.255667

data setelah diperbaiki

No Tahun p6 ( Ho) Hz Kumulatif Perbaikan

1 1980 47 2260.3549

2 1981 144 2213.3549

3 1982 50 2069.3549

4 1983 76 2019.3549

5 1984 111 1943.3549

6 1985 93 1832.3549

7 1986 46 1739.3549

8 1987 143 1693.3549

9 1988 189 1550.3549

10 1989 97 1361.3549

11 1990 70 1264.3549

12 1991 89 1194.3549

13 1992 126 1105.3549

14 1993 67 979.3549

15 1994 79 912.3549

16 1995 110 833.3549

17 1996 115.3549 723.3549

Page 16: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 16/68

18 1997 111 608

19 1998 163 497

20 1999 145 334

21 2000 189 189

Page 17: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 17/68

kumulatif rerata p1 (Ho) P2

2319.255667 76 123

2237.255667 79 72

2138.922333 64 592081.255667 68 64

2011.922333 75 120.1382

1909.876267 64 69

1834.542933 68 143

1748.876267 147 142

1604.876267 90 126

1469.876267 79 103

1376.876267 93 167

1266.876267 158 154

1133.2096 143 124

1002.2096 140 78

907.2096 111.2739 135

798.7849667 103 133

683.4516333 81 143

570.3333333 156 87

452.3333333 175 103

305.3333333 140 165

155.3333333 130 147

2319.255667

y1 1

x1 1

tan a 1

y2 1

x2 1

tan ao 1

Hz = 1

Page 18: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 18/68

Page 19: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 19/68

p5 ( Ho)

47

144

5076

111

93

46

143

189

97

70

89

126

67

79

110

115.3549

111

163

145

189

Page 20: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 20/68

data perbaikan

No Tahun P1 p2 p5 p6 ch rata-rata

1 1980 61.52381 155.3684 69.03125 90 93.9808702

2 1981 63.95238 90.94737 211.5 68 108.599937

3 1982 51.80952 74.52632 73.4375 56 63.94333494 1983 55.04762 80.84211 111.625 60 76.8786811

5 1984 60.71429 151.7535 163.0313 143 129.624763

6 1985 51.80952 87.15789 136.5938 66 85.3902921

7 1986 55.04762 180.6316 67.5625 129 108.060424

8 1987 119 179.3684 210.0313 139 161.849918

9 1988 72.85714 159.1579 277.5938 49 139.652197

10 1989 63.95238 130.1053 97 87.50729 94.6412335

11 1990 93 167 70 162 123

12 1991 158 154 89 49 112.5

13 1992 143 124 126 131 131

14 1993 140 78 67 70 88.75

15 1994 111.2739 135 79 133 114.568475

16 1995 103 133 110 180 131.5

17 1996 81 143 115.3549 152 122.838725

18 1997 156 87 111 155 127.25

19 1998 175 103 163 159 150

20 1999 140 165 145 112 140.5

21 2000 130 147 189 132 149.5

 jumlah 2454.02885

rata-rata 116.858517

Page 21: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 21/68

sort

63.94333

76.87868

85.3902988.75

93.98087

94.64123

108.0604

108.5999

112.5

114.5685

122.8387

123

127.25

129.6248

131

131.5

139.6522

140.5

149.5

150

161.8499

Page 22: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 22/68

Perhitungan Abnormalitas Data Hujan

cara Aljabar untuk Harga Maximum

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

1 76.87868 1.88580592 200.3573 2.30180515 5.29830694

2 85.39029 1.9314085 208.8689 2.31987378 5.38181436

3 88.75 1.94816836 212.2286 2.32680393 5.4140165134 93.98087 1.97303946 217.4595 2.33737834 5.463337517

5 94.64123 1.97608039 218.1198 2.33869517 5.46949512

6 108.0604 2.03366667 231.539 2.36462422 5.59144768

7 108.5999 2.03582957 232.0785 2.36563499 5.596228928

8 112.5 2.05115252 235.9786 2.37287264 5.630524547

9 114.5685 2.05906513 238.0471 2.37666287 5.648526374

10 122.8387 2.0893353 246.3173 2.39149497 5.719248214

11 123 2.08990511 246.4786 2.39177923 5.720607902

12 127.25 2.10465779 250.7286 2.39920389 5.756179308

13 129.6248 2.11268797 253.1034 2.40329793 5.775840941

14 131 2.1172713 254.4786 2.40565128 5.787158088

15 131.5 2.11892575 254.9786 2.40650375 5.791260284

16 139.6522 2.14504777 263.1308 2.4201717 5.857231034

17 140.5 2.14767632 263.9786 2.42156874 5.86399514

18 149.5 2.17464119 272.9786 2.43612862 5.934722632

19 150 2.17609126 273.4786 2.43692336 5.93859547

20 161.8499 2.20911248 285.3285 2.45534519 6.028720019

 jumlah 41.3795688 4859.658 47.6724197 113.667257

rerata 2.06897844 242.9829 2.38362099 5.683362851

41.3795688 4859.658 47.6724197 113.667257

1 mencari harga b

Log Xo 2.068978

Xo 117.2137

2 perkiraan harga

no Xs Xt Xs*Xt Xs+Xt (Xs*Xt)-Xo^2 2Xo-(Xs+Xt) b1

1 161.8499 76.8786811 12442.81 238.728599 -1296.247339 -4.30116403 301.3713

2 150 85.3902921 12808.54 235.390292 12808.54382 -235.390292 -54.4141

 jumlah 246.9572

m 2

b 123.478609 xe 161.8499

xbar^2

Xo 5.68336285

Sx 2.38362099

1.81651916

Page 23: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 23/68

Je E % perhitungan Je

3.7200 0.05 #REF!

3.099 0.25 Je = #REF!

2.816 0.5

2.419 1.25 interpolasi

2.096 2.5 #REF!1.743 5

1.206 12.5 E% #REF!

0.702 25 Eo 0.997438621 0.00256138

Dari data di atas didapat "ε > εo" maka data ditak dapat

Page 24: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 24/68

Page 25: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 25/68

disingkirkan

Page 26: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 26/68

Perhitungan Abnormalitas Data Hujan

cara Aljabar untuk Harga Minimum

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

1 76.87868 1.885806 200.3573 2.301805 5.29830694

2 85.39029 1.931408 208.8689 2.319874 5.38181436

3 88.75 1.948168 212.2286 2.326804 5.4140165134 93.98087 1.973039 217.4595 2.337378 5.463337517

5 94.64123 1.97608 218.1198 2.338695 5.46949512

6 108.0604 2.033667 231.539 2.364624 5.59144768

7 108.5999 2.03583 232.0785 2.365635 5.596228928

8 112.5 2.051153 235.9786 2.372873 5.630524547

9 114.5685 2.059065 238.0471 2.376663 5.648526374

10 122.8387 2.089335 246.3173 2.391495 5.719248214

11 123 2.089905 246.4786 2.391779 5.720607902

12 127.25 2.104658 250.7286 2.399204 5.756179308

13 129.6248 2.112688 253.1034 2.403298 5.775840941

14 131 2.117271 254.4786 2.405651 5.787158088

15 131.5 2.118926 254.9786 2.406504 5.791260284

16 139.6522 2.145048 263.1308 2.420172 5.857231034

17 140.5 2.147676 263.9786 2.421569 5.86399514

18 149.5 2.174641 272.9786 2.436129 5.934722632

19 150 2.176091 273.4786 2.436923 5.93859547

20 161.8499 2.209112 285.3285 2.455345 6.028720019

 jumlah 41.37957 4859.658 47.67242 113.667257

rerata 2.068978 242.9829 2.383621 5.683362851

1 mencari harga b

Log Xo 2.068978

Xo 117.2137

2 perkiraan harga

no Xs Xt Xs*Xt Xs+Xt (Xs*Xt)-Xo^2 2Xo-(Xs+Xt) b1

1 161.8499 76.87868 12442.81 238.7286 -1296.247339 -4.30116403 301.3713

2 150 85.39029 12808.54 235.3903 12808.54382 -235.390292 -54.4141

 jumlah 246.9572

m 2 xe 63.9433

b 123.4786 123.4786

xbar̂ 2 5.683363

Xo 2.383621

Sx 1.816519

Page 27: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 27/68

Je E % perhitungan Je

3.7200 0.05 239.2249

3.099 0.25 Je = 2.378806

2.816 0.5

2.419 1.25 interpolasi

2.096 2.5 1.405548

1.743 51.206 12.5 E% 0.014055

0.702 25 Eo 0.997439 0.002561379

Dari data di atas didapat "ε > εo" maka data ditak dapat disingkir

Page 28: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 28/68

Page 29: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 29/68

kan

Page 30: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 30/68

stasiun luas koefisien thiessen

p1 40 0.235294118

p2 50 0.294117647

p5 35 0.205882353p6 45 0.264705882

 jumlah 170 1

data awal

No Tahun P1 p2 p5 p6

1 1980 61.52380952 155.3684 69.03125 90

2 1981 63.95238095 90.94737 211.5 68

3 1982 51.80952381 74.52632 73.4375 56

4 1983 55.04761905 80.84211 111.625 60

5 1984 60.71428571 151.7535 163.0313 143

6 1985 51.80952381 87.15789 136.5938 66

7 1986 55.04761905 180.6316 67.5625 129

8 1987 119 179.3684 210.0313 139

9 1988 72.85714286 159.1579 277.5938 49

10 1989 63.95238095 130.1053 97 87.50729

11 1990 93 167 70 162

12 1991 158 154 89 49

13 1992 143 124 126 131

14 1993 140 78 67 70

15 1994 111.2739 135 79 13316 1995 103 133 110 180

17 1996 81 143 115.3549 152

18 1997 156 87 111 155

19 1998 175 103 163 159

20 1999 140 165 145 112

21 2000 130 147 189 189

No Tahun da P1 da p2 da p5 da p6 ch mx sort

1 1980 14.4761905 45.69659 14.21232 23.82353 98.20863 64.053

2 1981 15.04761907 26.74923 43.54412 18 103.341 75.59344

3 1982 12.19047621 21.9195 15.11949 14.82353 64.053 83.41798

4 1983 12.95238097 23.77709 22.98162 15.88235 75.59344 88.20588

5 1984 14.28571431 44.63339 33.56526 37.85294 130.3373 96.44816

6 1985 12.19047621 25.63467 28.12224 17.47059 83.41798 98.20863

7 1986 12.95238097 53.12693 13.90993 34.14706 114.1363 103.341

8 1987 28.00000004 52.75542 43.24173 36.79412 160.7913 113.7647

Page 31: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 31/68

9 1988 17.14285717 46.81115 57.15165 12.97059 134.0762 114.1363

10 1989 15.04761907 38.26625 19.97059 23.16369 96.44816 117.3586

11 1990 21.88235297 49.11765 14.41176 42.88235 128.2941 125.1025

12 1991 37.17647064 45.29412 18.32353 12.97059 113.7647 126.1765

13 1992 33.64705887 36.47059 25.94118 34.67647 130.7353 128.2941

14 1993 32.94117652 22.94118 13.79412 18.52941 88.20588 130.3373

15 1994 26.18209416 39.70588 16.26471 35.20588 117.3586 130.735316 1995 24.23529415 39.11765 22.64706 47.64706 133.6471 133.6471

17 1996 19.05882356 42.05882 23.74954 40.23529 125.1025 134.0762

18 1997 36.70588241 25.58824 22.85294 41.02941 126.1765 140.9706

19 1998 41.17647065 30.29412 33.55882 42.08824 147.1176 147.1176

20 1999 32.94117652 48.52941 29.85294 29.64706 140.9706 160.7913

21 2000 30.58823534 43.23529 38.91176 50.02941 162.7647 162.7647

2474.541

Page 32: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 32/68

persen

0.235294 0.294118 0.205882 0.264706

0.235294 0.294118 0.205882 0.264706

0.235294 0.294118 0.205882 0.264706

0.235294 0.294118 0.205882 0.264706

0.235294 0.294118 0.205882 0.264706

0.235294 0.294118 0.205882 0.264706

0.235294 0.294118 0.205882 0.264706

0.235294 0.294118 0.205882 0.264706

0.235294 0.294118 0.205882 0.264706

0.235294 0.294118 0.205882 0.264706

0.235294 0.294118 0.205882 0.264706

0.235294 0.294118 0.205882 0.264706

0.235294 0.294118 0.205882 0.264706

0.235294 0.294118 0.205882 0.264706

0.235294 0.294118 0.205882 0.2647060.235294 0.294118 0.205882 0.264706

0.235294 0.294118 0.205882 0.264706

0.235294 0.294118 0.205882 0.264706

0.235294 0.294118 0.205882 0.264706

0.235294 0.294118 0.205882 0.264706

0.235294 0.294118 0.205882 0.264706

Page 33: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 33/68

Perhitungan Abnormalitas Data Hujan

untuk Harga Minimum

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

1 75.59344 1.878484 427.53 2.630967 6.921985444

2 83.41798 1.92126 435.3546 2.638843 6.96349301

3 88.20588 1.945498 440.1425 2.643593 6.9885854754 96.44816 1.984294 448.3848 2.651651 7.031252171

5 98.20863 1.99215 450.1452 2.653353 7.040280301

6 103.341 2.014273 455.2776 2.658276 7.066432609

7 113.7647 2.056008 465.7013 2.668107 7.118797396

8 114.1363 2.057424 466.0729 2.668454 7.120645963

9 117.3586 2.069515 469.2952 2.671446 7.136624156

10 125.1025 2.097266 477.0391 2.678554 7.174651307

11 126.1765 2.100978 478.113 2.679531 7.179884166

12 128.2941 2.108207 480.2307 2.68145 7.190173759

13 130.3373 2.115069 482.2739 2.683294 7.200065397

14 130.7353 2.116393 482.6719 2.683652 7.201988114

15 133.6471 2.125959 485.5837 2.686264 7.216014617

16 134.0762 2.127352 486.0128 2.686648 7.218076121

17 140.9706 2.149129 492.9072 2.692765 7.250984162

18 147.1176 2.167665 499.0542 2.698148 7.280001313

19 160.7913 2.206262 512.7279 2.709887 7.343487115

20 162.7647 2.21156 514.7013 2.711555 7.352531983

 jumlah 41.44474 9449.22 53.47644 142.9959546

rerata 2.072237 472.461 2.673822 7.149797729

1 mencari harga b

Log Xo 2.072237

Xo 118.0965

2 perkiraan harga

no Xs Xt Xs*Xt Xs+Xt (Xs*Xt)-Xo^2 2Xo-(Xs+Xt) b1

1 162.7647 75.59344 12303.94 238.3581 -1642.848205 -2.16506984 758.7969

2 160.7913 83.41798 13412.88 244.2092 13412.88273 -244.209246 -54.9237

 jumlah 703.8731

m 2

b 351.9366 351.9366 xe 64.053

xbar^2 7.149798

Xo 2.673822

Sx 2.11565

Page 34: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 34/68

Je E %

3.7200 0.05 perhitungan Je

3.099 0.25 547.6127

2.816 0.5 Je = 2.738473475

2.419 1.25

2.096 2.5 interpolasi

1.743 5 0.6464611.206 12.5

0.702 25 E% 0.006464607

Eo 0.997438621 0.002561379

Dari data di atas didapat "ε > εo" maka data tidak da

Page 35: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 35/68

Page 36: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 36/68

at disingkirkan

Page 37: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 37/68

Perhitungan Abnormalitas Data Hujan

untuk Harga Maximum

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

1 64.053 1.806539 269.9624 2.431303 5.911235569

2 75.59344 1.878484 281.5028 2.449483 5.999965867

3 83.41798 1.92126 289.3274 2.46139 6.058438419

4 88.20588 1.945498 294.1153 2.468518 6.093579064

5 96.44816 1.984294 302.3576 2.480521 6.152983532

6 98.20863 1.99215 304.118 2.483042 6.165498381

7 103.341 2.014273 309.2504 2.49031 6.201644947

8 113.7647 2.056008 319.6741 2.504707 6.273559424

9 114.1363 2.057424 320.0457 2.505212 6.276087124

10 117.3586 2.069515 323.268 2.509563 6.297904757

11 125.1025 2.097266 331.0119 2.519844 6.349611637

12 126.1765 2.100978 332.0859 2.52125 6.356703537

13 128.2941 2.108207 334.2035 2.524011 6.370631581

14 130.3373 2.115069 336.2467 2.526658 6.384000772

15 130.7353 2.116393 336.6447 2.527172 6.38659714416 133.6471 2.125959 339.5565 2.530912 6.405515499

17 134.0762 2.127352 339.9856 2.531461 6.408292642

18 140.9706 2.149129 346.88 2.540179 6.452510571

19 147.1176 2.167665 353.027 2.547808 6.491325473

20 160.7913 2.206262 366.7007 2.564312 6.575694445

 jumlah 41.03972 6429.964 50.11765 125.6117804

rerata 2.051986 321.4982 2.505883 6.280589019

1 mencari harga b

Log Xo 2.051986

Xo 110.3812

2 perkiraan harga

no Xs Xt Xs*Xt Xs+Xt (Xs*Xt)-Xo^2 2Xo-(Xs+Xt)

1 160.7913 64.053 10299.16 224.8443 -1884.840979 -4.081915693

2 147.1176 75.59344 11121.13 222.7111 11121.12922 -222.7110884

 jumlah

m 2

b 205.9094 xe

xbar^2 6.280589

Xo 2.505883

Sx 1.94286

Je E %

3.7200 0.05 perhitungan Je

3.099 0.25 450.8445

Page 38: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 38/68

2.816 0.5 Je = 2.654026775

2.419 1.25

2.096 2.5 interpolasi

1.743 5 0.805995

1.206 12.5

0.702 25 E% 0.008059948

Eo 0.997438621 0.002561379

Dari data di atas didapat "ε > εo" maka data d

Page 39: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 39/68

b1

461.754

-49.9352

411.8188

162.7647

Page 40: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 40/68

apat disingkirkan

Page 41: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 41/68

log pearsonmenggunakan data dari rerata aljabar

No Xi Log Xi logXi-logXbar (logXi-logXbar)^2 (logXi-logXbar)^3

1 64.05299554 1.806539 -0.198554456 0.039423872 -0.007827785

2 75.59344132 1.878484 -0.126609784 0.016030037 -0.00202956

3 83.41798199 1.92126 -0.083834222 0.007028177 -0.0005892024 88.20588238 1.945498 -0.059596352 0.003551725 -0.00021167

5 96.44815557 1.984294 -0.020799974 0.000432639 -8.99888E-06

6 98.20863049 1.99215 -0.012944246 0.000167554 -2.16885E-06

7 103.3409627 2.014273 0.009178602 8.42467E-05 7.73267E-07

8 113.7647059 2.056008 0.050913648 0.0025922 0.000131978

9 114.1363012 2.057424 0.052329893 0.002738418 0.000143301

10 117.3585647 2.069515 0.064420888 0.004150051 0.00026735

11 125.1024794 2.097266 0.092172016 0.008495681 0.000783064

12 126.1764706 2.100978 0.095884474 0.009193832 0.000881546

13 128.2941176 2.108207 0.103112843 0.010632258 0.001096322

14 130.3372998 2.115069 0.109974818 0.012094461 0.001330086

15 130.7352941 2.116393 0.111298947 0.012387456 0.001378711

16 133.6470588 2.125959 0.120865505 0.01460847 0.00176566

17 134.0762453 2.127352 0.122257938 0.014947004 0.00182739

18 140.9705882 2.149129 0.144034611 0.020745969 0.002988138

19 147.1176471 2.167665 0.162570869 0.026429288 0.004296632

20 160.7912636 2.206262 0.201168547 0.040468784 0.008141047

21 162.7647059 2.21156 0.206466337 0.042628348 0.008801319

 jumlah 43.25128 1.144310903 0.288830469 0.023163933

rerata 2.059585 0 .054490995 0.013753832 0.001103044

menghitung standar deviasi

SD= 0.014442 0.12017289

koefisien kemencengan= 0.737612853

koefisien Cs 10 20 25 50  

P 10 5 4 2

0.7 1.333 1.755666667 1.967 2.407

0.8 1.336 1.978659984 1.998 2.453

0.737612853 1.334128 1.839540816 1.978659984 2.424301912

bwt interpolasi

10 1.333

25 1.967

20 1.755667

Page 42: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 42/68

10 1.334128

25 1.998

20 1.97866

persamaan garis lurus log pearson III

P90;X10logX10= logXbar+(G.SD)

log X10= 2.219911

X10= 165.9247

p10;x90

2.450924961

282.4391922

mencari debit banjir yang dikehendaki

curah hujan rancangan 20 tahun (x20)

P=1/t*100%

0.05

G20= 1.839541

logXt=logxbar+(G.SD)

logX20= 2.219911

165.9247

logx50= 2.35092

224.347

logx100= 2.401982

252.3374

logx200= 2.450925

282.4392

Tabel Extreme Probability Gumbell)

No y ∆y ∆y² ∆y²/y

1 62.46476

2 79.82874

3 86.82628

4 87.41176

5 90.56504

6 92.16571

7 98.96093

8 103.0644

9 103.9412

Page 43: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 43/68

10 114.5294

11 115.1176

12 115.4023

13 121.8667

14 123.4586

15 124.3529

16 129.411817 148.1765

18 149.7059

19 161.8501

20 162.7647

21 171.1351

 jumlah 2443

uji chi square

n=21

a=0,05 (5%)

X2=32,671

∑DY2/y=12,359166

∑DY2/y >X2

data dapat mengikuti distribusi log person 3

uji smirnov kolmogorof 

n=25

a=0,05 (5%)

DCr=0,286

Dmax=15 %

0.15

karena D max < DCr, maka data dapat mengikuti distribusi log person 3

Page 44: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 44/68

% P=m/n+1*100 log(% P=m/n+1*100)

4.545454545 0.657577319 4.5455% 2.005093901

9.090909091 0.958607315 2.005093901

13.63636364 1.134698574 2.00509390118.18181818 1.259637311 2.005093901

22.72727273 1.356547324 2.005093901

27.27272727 1.43572857 2.005093901

31.81818182 1.502675359 2.005093901

36.36363636 1.560667306 2.005093901

40.90909091 1.611819829 2.005093901

45.45454545 1.657577319 2.005093901

50 1.698970004 2.005093901

54.54545455 1.736758565 2.005093901

59.09090909 1.771520671 2.005093901

63.63636364 1.803705355 2.005093901

68.18181818 1.833668578 2.005093901

72.72727273 1.861697302 2.005093901

77.27272727 1.888026241 2.005093901

81.81818182 1.912849824 2.005093901

86.36363636 1.93633092 2.005093901

90.90909091 1.958607315 2.005093901

95.45454545 1.979796614 2.005093901

1050 33.51746761

50 1.596069886

log(% P=m Log Xi0.657577 1.806539

0.958607 1.878484

1.134699 1.92126

1.259637 1.945498

1.356547 1.984294

1.435729 1.99215

1.502675 2.014273

100 200   1.560667 2.056008

1 0.5 1.61182 2.057424

2.824 3.223 1.657577 2.069515

2.891 3.312 1.69897 2.097266

2.849200612 3.256475439 1.736759 2.100978

1.771521 2.108207

1.803705 2.115069

1.833669 2.116393

1.861697 2.125959

1.888026 2.127352

1.91285 2.149129

1.936331 2.167665

Page 45: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 45/68

1.958607 2.206262

1.979797 2.21156

Page 46: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 46/68

pusingggggggggggggggg

Page 47: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 47/68

y = 0.2959x + 1.5873

R² = 0.975

0

1

2

3

0 0.5 1 1.5 2 2.5

Series1

Linear (Series1)

Page 48: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 48/68

No Xi Xi-Xbar (Xi-Xbar)^2 (Xi-Xbar)^3 (Xi-Xbar)^4

1 64.05299554 -53.7823 2892.533672 -155567.0566 8366751.04

2 75.59344132 -42.2418 1784.372581 -75375.17125 3183985.51

3 83.41798199 -34.4173 1184.550114 -40769.00932 1403158.97

4 88.20588238 -29.6294 877.9009555 -26011.67281 770710.088

5 96.44815557 -21.3871 457.4089126 -9782.659416 209222.913

6 98.20863049 -19.6266 385.2052067 -7560.28597 148383.051

7 103.3409627 -14.4943 210.0851125 -3045.039401 44135.7545

8 113.7647059 -4.07057 16.5695393 -67.44746789 274.549633

9 114.1363012 -3.69897 13.68241332 -50.61089974 187.208434

10 117.3585647 -0.47671 0.227253492 -0.108334267 0.05164415

11 125.1024794 7.267204 52.81224772 383.7973552 2789.13351

12 126.1764706 8.341195 69.57553027 580.3430495 4840.75441

13 128.2941176 10.45884 109.3873718 1144.065217 11965.5971

14 130.3372998 12.50202 156.3006034 1954.07389 24429.8786

15 130.7352941 12.90002 166.4104723 2146.698139 27692.4453

16 133.6470588 15.81178 250.012481 3953.143092 62506.240717 134.0762453 16.24097 263.76909 4283.865743 69574.1328

18 140.9705882 23.13531 535.2426812 12383.00665 286484.728

19 147.1176471 29.28237 857.4572662 25108.382 735232.963

20 160.7912636 42.95599 1845.216883 79263.11378 3404825.34

21 162.7647059 44.92943 2018.653684 90696.95951 4074962.7

 jumlah 2474.540792 -2.3E-13 14147.37407 -96331.61307 22832113.1

rerata 117.8352758 -1.1E-14 673.6844796 -4587.21967 1087243.48

menghitung standar deviasi

SD 707.3687036 26.5964

n=21 , Yn dan Sn ada di tabel yang dikutip dari engineering hydrologi

Sn 1.0696

Yn 0.5252

1/a=SD/Sn= 24.86575

a= 0.040216

b=xbar-Yn.SD/Sn= 104.7758

Yt=-ln(-ln Tr(x)-1/Tr(x))

untuk Tr=20 tahun Y20= 2.9702

Tr=50 tahun Y50= 3.9019

Tr=100 tahun Y100 4.6001

Tr=200 tahun Y200= 5.2958

Xt = 1/a Yt +b

sehingga X20= 178.632

Page 49: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 49/68

X50= 201.7994

X100= 219.1607

X200= 236.4598

Kala ulang 20 50 100 200

Yt 2.9702 3.9019 4.6001 5.2958

Curah hujan 178.6320294 201.7994 219.160712 236.4598128

persamaan garis lurus gumbell

x=xbar+SD/Sn(Y-Yn)

117.835276 + 24.86575 (y-0,5309)

117.835276 + 28,10382y -13.0594908

x= 28,10382y + 104.775785

untuk y= -1 79.91004

untuk y= 4 204.2388

Tabel Extreme Probability Gumbell)No y ∆y ∆y² ∆y²/y

1 62.46476025 8 64 1.024577694

2 79.82873544 6 36 0.45096543

3 86.82627756 3 9 0.103655256

4 87.41176473 2 4 0.045760431

5 90.56504081 0 0 0

6 92.16571298 0 0 0

7 98.96093174 0 0 0

8 103.0644471 4.5 20.25 0.196479005

9 103.9411765 3 9 0.086587436

10 114.5294118 4 16 0.139702106

11 115.1176471 6 36 0.312723556

12 115.4023059 4 16 0.13864541

13 121.8667116 4 16 0.13129098

14 123.4586097 3 9 0.072898926

15 124.3529412 0 0 0

16 129.4117647 0.5 0.25 0.001931818

17 148.1764706 6 36 0.242953553

18 149.7058824 4.5 20.25 0.135265226

19 161.8500871 7 49 0.302749296

20 162.7647059 1 1 0.006143838

21 171.1350688 12 144 0.841440629

 jumlah 2443.000454 78.5 485.75 4.23377059

uji kelulusan gumbell

n = 21 20 0.29

α = 0.05 25 0.27

∆ CR= 0.286 21 0.286

∆ max = 0.08 5.50%

Page 50: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 50/68

karena ∆ max < ∆ cr maka data dapat mengikuti distribusi Aljabar

0.08 < 0.286

Uji Chi-Square

n= 21

α = 0.05

x2 = 32.7∑ ∆ y2/y 4.23377059

karena ∑ ∆ y2/y < x2 maka data dapat mengikuti distribusi gumbel

syarat dan toleransi kesalahan

hasil analisis - hasil/hasil analisis*100%<5%

no kala ulang analitis Grafis Error

1 20 178.632 179 0.205570143

2 50 201.7994 202 0.099283779

3 100 219.1607 220 0.3814945674 200 236.4598 237 0.227927101

 

Page 51: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 51/68

% P=m/n+1

4.545454545

9.090909091

13.63636364

18.18181818

22.72727273

27.27272727

31.81818182

36.36363636

40.90909091

45.45454545

50

54.54545455

59.09090909

63.63636364

68.18181818

72.7272727377.27272727

81.81818182

86.36363636

90.90909091

95.45454545

Page 52: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 52/68

Page 53: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 53/68

3.75

Page 54: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 54/68

No. Xi Xi2

(Xi-c) (Xi-c)2

Tr=n+1/m

Periode

Ulang

1 64.053 4102.78624 -53.78228028 2892.533672 22.0000 1.001

2 75.59344 5714.36837 -42.24183449 1784.372581 11.0000 1.005

3 83.41798 6958.55972 -34.41729382 1184.550114 7.3333 1.014 88.20588 7780.27769 -29.62939344 877.9009555 5.5000 1.05

5 96.44816 9302.24671 -21.38712025 457.4089126 4.4000 1,110

6 98.20863 9644.9351 -19.62664533 385.2052067 3.6667 1.25

7 103.341 10679.3546 -14.49431311 210.0851125 3.1429 1.33

8 113.7647 12942.4083 -4.070569898 16.5695393 2.7500 1.43

9 114.1363 13027.0952 -3.69897463 13.68241332 2.4444 1.67

10 117.3586 13773.0327 -0.47671112 0.227253492 2.2000 2

11 125.1025 15650.6303 7.26720357 52.81224772 2.0000 2.5

12 126.1765 15920.5017 8.341194775 69.57553027 1.8333 3.33

13 128.2941 16459.3806 10.4588418 109.3873718 1.6923 4

14 130.3373 16987.8117 12.50202397 156.3006034 1.5714 5

15 130.7353 17091.7171 12.90001831 166.4104723 1.4667 10

16 133.6471 17861.5363 15.81178298 250.012481 1.3750 20

17 134.0762 17976.4396 16.24096949 263.76909 1.2941 50

18 140.9706 19872.7067 23.13531243 535.2426812 1.2222 100

19 147.1176 21643.6021 29.28237125 857.4572662 1.1579 200

20 160.7913 25853.8304 42.95598774 1845.216883 1.1000 500

21 162.7647 26492.3495 44.92943005 2018.653684 1.0476 1000

117.8353 14147.37407

S=((Xi-c)2/(n-1))1/2S 26.59640396

Xt=c+ks

X20 161.4533783

X50 172.3579039

X100 392.3914685

X200 186.453998

Page 55: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 55/68

Peluang k

0.999 -3.05 87.94286

0.995 -2.58 94.29714

0.990 -2.33 97.257140.950 -1.64 97.72

0.900 -1.28 112.8286

0.8 -0.84 113.9625

0.750 -0.67 117.5714

0.700 -0.52 126.1714

0.600 -0.25 127.0286

0.5 0 128.9429

0.4 0.25 129.8857

0.3 0.52 137.335

0.25 0.67 143.28

0.2 0.84 146.049

0.1 1.28 147.3429

0.05 1.64 147.4

0.2 2.05 148.0286

0.01 2.33 151.3527

0.005 2.58 159.1429

0.002 2.88 159.3429

0.001 3.09 174.3771

Page 56: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 56/68

No. Xi Log Xi (logXi-logc (logXi-logc (logXi-logc)3

1 64.053 1.806539 -0.25305 0.064032 -0.016203

2 75.59344 1.878484 -0.1811 0.032797 -0.005940

3 83.41798 1.92126 -0.13833 0.019134 -0.002647

4 88.20588 1.945498 -0.11409 0.013016 -0.0014855 96.44816 1.984294 -0.07529 0.005669 -0.000427

6 98.20863 1.99215 -0.06744 0.004548 -0.000307

7 103.341 2.014273 -0.04531 0.002053 -0.000093

8 113.7647 2.056008 -0.00358 0.000013 0.000000

9 114.1363 2.057424 -0.00216 0.000005 0.000000

10 117.3586 2.069515 0.00993 0.000099 0.000001

11 125.1025 2.097266 0.037681 0.001420 0.000054

12 126.1765 2.100978 0.041393 0.001713 0.000071

13 128.2941 2.108207 0.048622 0.002364 0.000115

14 130.3373 2.115069 0.055484 0.003078 0.000171

15 130.7353 2.116393 0.056808 0.003227 0.000183

16 133.6471 2.125959 0.066375 0.004406 0.000292

17 134.0762 2.127352 0.067767 0.004592 0.000311

18 140.9706 2.149129 0.089544 0.008018 0.000718

19 147.1176 2.167665 0.10808 0.011681 0.001263

20 160.7913 2.206262 0.146678 0.021514 0.003156

21 162.7647 2.21156 0.151975 0.023097 0.003510

43.25128 -0.017257

2.059585

tabel curah hujan rerata untuk curah hujan rancangan metode log normal III parameterm CH rerata p = m/n+1 log Xi (logXi - logc) (logXi - logc)

2(logXi - logc)3

1 64.053 4.545455 1.806539 -0.2530455 0.0640320 -0.0162030

2 75.59344 9.090909 1.878484 -0.1811008 0.0327975 -0.0059397

3 83.41798 13.63636 1.92126 -0.1383252 0.0191339 -0.0026467

4 88.20588 18.18182 1.945498 -0.1140873 0.0130159 -0.0014850

5 96.44816 22.72727 1.984294 -0.0752910 0.0056687 -0.0004268

6 98.20863 27.27273 1.99215 -0.0674352 0.0045475 -0.0003067

7 103.341 31.81818 2.014273 -0.0453124 0.0020532 -0.0000930

8 113.7647 36.36364 2.056008 -0.0035773 0.0000128 0.0000000

9 114.1363 40.90909 2.057424 -0.0021611 0.0000047 0.0000000

10 117.3586 45.45455 2.069515 0.0099299 0.0000986 0.0000010

11 125.1025 50 2.097266 0.0376810 0.0014199 0.0000535

12 126.1765 54.54545 2.100978 0.0413935 0.0017134 0.0000709

13 128.2941 59.09091 2.108207 0.0486218 0.0023641 0.0001149

14 130.3373 63.63636 2.115069 0.0554838 0.0030785 0.0001708

15 130.7353 68.18182 2.116393 0.0568080 0.0032271 0.0001833

16 133.6471 72.72727 2.125959 0.0663745 0.0044056 0.0002924

Page 57: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 57/68

17 134.0762 77.27273 2.127352 0.0677669 0.0045924 0.0003112

18 140.9706 81.81818 2.149129 0.0895436 0.0080181 0.0007180

19 147.1176 86.36364 2.167665 0.1080799 0.0116813 0.0012625

20 160.7913 90.90909 2.206262 0.1466776 0.0215143 0.0031557

21 162.7647 95.45455 2.21156 0.1519753 0.0230965 0.0035101

43.25128 0.2264758 -0.0172565

2.059585

standard deviasi

Si=(∑(logXi-logc)2/(n-1))1/2

Si 0.106413

menghitung koefisien kepencengan

Cs=n∑(logXi-logc)3/(n-1)(n-2)S

3

CS -0.36239

0.457901

Cs -0.79141

persamaan garis lurus log normal

p=90, x 10

log x10=log X + G10.Si

X10 2.017085

104.0124

Page 58: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 58/68

50 80 90 95 98 99

2 5 10 20 50 100

-2 0.2366 -0.6144 -1.2437 -1.8916 -2.7943 -3.5196-1.8 0.224 -0.6395 -1.2621 -1.8928 -2.7578 -3.4433

-1.6 0.2092 -0.6654 -1.2792 -1.8901 -2.7138 -3.357

-1.4 0.192 -0.692 -1.2943 -1.8827 -2.6615 -3.2601

-1.2 0.1722 -0.7186 -1.3067 -1.8696 -2.6002 -3.1521

-1 0.1495 -0.7449 -1.3156 -1.8501 -2.5294 -3.0333

-0.8 0.1241 -0.77 -1.3201 -1.8235 -2.4492 -2.9043

-0.6 0.0959 -0.793 -0.3194 -1.7894 -2.36 -2.7665

-0.4 0.0654 -0.8131 -0.3128 -1.7478 -2.2631 -2.6223

-0.2 0.0332 -0.8296 -0.3002 -1.6993 -2.1602 -2.4745

0 0 0 0 0 0 0

0.2 -0.0332 0.8996 0.3002 1.5993 2.1602 2.4745

0.4 -0.0654 0.8131 0.3128 1.7478 2.2631 2.6223

0.6 -0.0959 0.793 0.3194 1.7894 2.36 2.7665

0.8 -0.1241 0.77 1.3201 1.8235 2.4492 2.9043

1 -0.1495 0.7449 1.3156 1.8501 2.5294 3.0333

1.2 -0.1722 0.7186 1.30567 1.8696 2.6002 3.1521

1.4 -0.192 0.692 1.2943 1.8827 2.6615 3.2601

1.6 -0.2092 0.6654 1.2792 1.8901 2.7138 3.357

1.8 -0.224 0.6395 1.2621 1.8928 2.7578 3.4433

2 -0.2366 0.6144 1.2437 1.8916 2.7943 3.5196

menentukan nilai G

koefisien 20 50 100 200

Cs 95 98 99 100.2347

-0.8 -1.8235 -2.4492 -2.9043 -4.26429592

-0.79141 -1.79213 -2.36713 -2.77752 -4.01764

-0.6 -1.7894 -2.36 -2.7665 -3.99620918

mencari debit banjir dengan waktu balik yang dikehendaki QT

20 tahun

Log Xt=logc + G.Si

log X20 1.868879

X20 73.93989

log X20 1.807691

X50 64.223

log X100 1.76402

X100 58.07913

log X200 1.632054

Koefisien

Kemencen

gan (CS)

Peluang kumulatif ( % )

Periode Ulang ( tahun )

Page 59: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 59/68

X200 42.86021

Page 60: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 60/68

ekstrapolasi

100.2347 10

200

10 90

-4.2643 1.539215

-3.99621 0.600035-0.61599 0.675103 -0.39939

Page 61: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 61/68

Perhitungan PMP

No. Xi (Xi-x)2 (Xi-Xn-m)1 (Xi-Xn-m)2 Xn-m = 115.5888

1 64.05299554 2892.5337 -51.5358 2655.9396 Sn = 26.5964

2 75.59344132 1784.3726 -39.9954 1599.6291 Sn-m= 27.38935

3 83.41798199 1184.5501 -32.1708 1034.9618 xn= 117.8353

4 88.20588238 877.9010 -27.3829 749.8244

5 96.44815557 457.4089 -19.1406 366.3644

6 98.20863049 385.2052 -17.3802 302.0704

7 103.3409627 210.0851 -12.2478 150.0096

8 113.7647059 16.5695 -1.8241 3.3273 Xn-m/xn 0.980935

9 114.1363012 13.6824 -1.4525 2.1098

10 117.3585647 0.2273 1.7698 3.1321

11 125.1024794 52.8122 9.5137 90.5100

12 126.1764706 69.5755 10.5877 112.0987

13 128.2941176 109.3874 12.7053 161.4250

14 130.3372998 156.3006 14.7485 217.518115 130.7352941 166.4105 15.1465 229.4162

16 133.6470588 250.0125 18.0583 326.1006

17 134.0762453 263.7691 18.4874 341.7855

18 140.9705882 535.2427 25.3818 644.2350

19 147.1176471 857.4573 31.5288 994.0679

20 160.7912636 1845.2169 45.2025 2043.2623

21 162.7647059 2018.6537 47.1759 2225.5657

Jumlah 2474.5408 14147.3741 47.1759 14253.3534

Rata - rata 117.8353 673.6845 2.2465 678.7311

Probable Maximum Precipitation (PMP)

Page 62: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 62/68

koreksi Sn= 1.029814

1.029814033

Page 63: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 63/68

No Xi Xi-Xbar (Xi-Xbar)^2 Xi-Xn-m (Xi-Xn-m)^2

1 64.0529955 -53.78228028 2892.5337 -51.53580877 2655.939586

2 75.5934413 -42.24183449 1784.3726 -39.99536299 1599.629061

3 83.417982 -34.41729382 1184.5501 -32.17082232 1034.9618094 88.2058824 -29.62939344 877.90096 -27.38292194 749.8244137

5 96.4481556 -21.38712025 457.40891 -19.14064875 366.3644344

6 98.2086305 -19.62664533 385.20521 -17.38017382 302.0704421

7 103.340963 -14.49431311 210.08511 -12.24784161 150.009624

8 113.764706 -4.070569898 16.569539 -1.824098396 3.327334958

9 114.136301 -3.69897463 13.682413 -1.452503128 2.109765337

10 117.358565 -0.47671112 0.2272535 1.769760382 3.13205181

11 125.102479 7.26720357 52.812248 9.513675072 90.51001338

12 126.176471 8.341194775 69.57553 10.58766628 112.0986772

13 128.294118 10.4588418 109.38737 12.7053133 161.4249862

14 130.3373 12.50202397 156.3006 14.74849547 217.5181187

15 130.735294 12.90001831 166.41047 15.14648981 229.4161535

16 133.647059 15.81178298 250.01248 18.05825448 326.1005549

17 134.076245 16.24096949 263.76909 18.48744099 341.7854745

18 140.970588 23.13531243 535.24268 25.38178393 644.2349555

19 147.117647 29.28237125 857.45727 31.52884276 994.0679255

20 160.791264 42.95598774 1845.2169 45.20245924 2043.262321

21 162.764706 44.92943005 2018.6537

 jumlah 2474.54079 -2.27374E-13 14147.374 -1.42109E-13 12027.7877

rerata 117.835276 -1.08273E-14 673.68448 -6.76707E-15 572.7517954

menghitung ch maks yang mungkin terjadi

a curah hujan rerata( Xn) patok

Xn= 117.835276 0.980935492

t= 24 jam

dari lampiran 4 diperoleh hasil

Sn= 26.596404

Xn-m= 115.588804

Sn-m= 25.1603151

b faktor adjusment Xn= 117.8352758

Sn-m/Sn 0.9460044

lampiran 6 Xn 115

lampiran 5 Xn 101

Xn koreksi= 136.865673

c faktor adjusement Sn

Sn-m/Sn= 0.9460044

Page 64: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 64/68

Page 65: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 65/68

20 102.85

1 Xn 40 101.7

21 ? 102.7925

1.027925

2 Sn

12 118

30 115

21 ? 116.5

1.165

3a Sn penyesuaian

Page 66: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 66/68

20 108.5

25 103

21 ? 107.4

1.074

3bXn penyes 20 120

25 101.5

21 ? 116.3

1.163

4 faktor koreksi Xn 140.8693

faktor koresi Sn 33.27769

5 nilai Km

100 15.1

150 13.3

117.8353 ? 14.45793

6 pmp terpusat 621.9958

7 faktor koreksi luas das

100 97

200 94luas das 170 ? 94.9

0.949

8 faktor reduksi terhadap lamanya pencatatan hujan

pmp 594.7011

Page 67: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 67/68

Page 68: septian baru

5/16/2018 septian baru - slidepdf.com

http://slidepdf.com/reader/full/septian-baru 68/68

100.75 1.0075