Analisis Hujan sekayu
Transcript of Analisis Hujan sekayu
HUJAN HARIAN MAKSIMUMDPS RANDANGAN DI BANGUNAN UTAMA RANDANGAN
Tahun Marisa Motolohu Marisa IV Hujan DPS
1991 63.00 108.60 85.801992 46.00 58.00 126.00 76.671993 126.00 107.70 126.20 79.80 109.931994 69.00 48.50 138.00 80.20 83.931995 63.50 60.00 73.00 75.50 68.001996 63.30 76.00 138.40 79.50 89.301997 51.20 66.00 61.00 79.60 64.451998 85.60 81.00 60.90 86.00 78.381999 47.00 47.002000 48.00 48.002001 42.90 42.902002 77.80 77.80
Jumlah data 8 8 11 12
Mean 70.95 75.73 85.38 72.68
Sumber : Hasil analisis Konsultan
Buntulia Utara
Distribusi Normal
n Weibull Data Prediction n Probability Prediction
1 0.08 42.9 44.54 9.9217 1 0.995 200 123.51 15.74012 0.15 47 52.55 8.1361 2 0.99 100 118.59 14.42473 0.23 48 58.16 7.0723 3 0.98 50 113.21 13.01274 0.31 64.45 62.78 6.373 4 0.96 25 107.23 11.48535 0.38 68 66.9 5.935 5 0.9 10 97.97 9.25936 0.46 76.67 70.78 5.722 6 0.8 5 89.28 7.44387 0.54 77.8 74.58 5.722 7 0.667 3 81.19 6.20268 0.62 78.38 78.46 5.935 8 0.5 2 72.68 5.69579 0.69 83.93 82.58 6.373
10 0.77 85.8 87.2 7.072311 0.85 89.3 92.81 8.136112 0.92 109.93 100.82 9.9217
Total 86.3202
Distribusi Log Normal 2 Parameter
n Weibull Data Prediction n Probability Prediction
1 0.08 42.9 47.95 6.3314 1 0.995 200 139.42 20.65912 0.15 47 53.44 5.5868 2 0.99 100 130.45 18.39973 0.23 48 57.64 5.2137 3 0.98 50 121.3 16.124 0.31 64.45 61.35 5.0619 4 0.96 25 111.88 13.80945 0.38 68 64.87 5.0865 5 0.9 10 98.72 10.68966 0.46 76.67 68.36 5.2711 6 0.8 5 87.79 8.28717 0.54 77.8 71.97 5.6122 7 0.667 3 78.69 6.5688 0.62 78.38 75.84 6.1201 8 0.5 2 70.14 5.42189 0.69 83.93 80.19 6.8245
10 0.77 85.8 85.35 7.793911 0.85 89.3 92.07 9.197312 0.92 109.93 102.6 11.5912
Total 79.6906
Distribusi Gumbel
n Weibull Data Prediction n Probability Prediction
1 0.08 42.9 43.18 7.0486 1 0.995 200 170.48 31.82352 0.15 47 49.61 5.7935 2 0.99 100 156.28 27.77643 0.23 48 54.59 5.0807 3 0.98 50 142.03 23.73214 0.31 64.45 59.05 4.7312 4 0.96 25 127.68 19.68665 0.38 68 63.33 4.7126 5 0.9 10 108.33 14.32276 0.46 76.67 67.65 5.0129 6 0.8 5 93.01 10.24697 0.54 77.8 72.19 5.6166 7 0.667 3 80.85 7.30198 0.62 78.38 77.15 6.5178 8 0.5 2 69.88 5.27779 0.69 83.93 82.82 7.7467
10 0.77 85.8 89.71 9.408511 0.85 89.3 98.92 11.789912 0.92 109.93 113.94 15.8617
Total 89.3207
Standart Deviasi Return Period Standart
Deviasi
Standart Deviasi Return Period Standart
Deviasi
Standart Deviasi Return Period Standart
Deviasi
Distribusi Pearson III
n Weibull Data Prediction n Probability Prediction
1 0.08 42.9 44.65 8.3066 1 0.995 200 124.1 18.0362 0.15 47 52.56 6.9472 2 0.99 100 119.05 15.33223 0.23 48 58.11 6.463 3 0.98 50 113.54 12.77844 0.31 64.45 62.7 6.2622 4 0.96 25 107.44 10.45035 0.38 68 66.81 6.1788 5 0.9 10 98.04 7.94246 0.46 76.67 70.68 6.152 6 0.8 5 89.25 6.71817 0.54 77.8 74.48 6.161 7 0.667 3 81.1 6.27088 0.62 78.38 78.36 6.2075 8 0.5 2 72.58 6.15249 0.69 83.93 82.51 6.3163
10 0.77 85.8 87.15 6.554411 0.85 89.3 92.81 7.099212 0.92 109.93 100.93 8.5735
Total 81.2217
Distribusi Log Pearson III
n Weibull Data Prediction n Probability Prediction
1 0.08 42.9 43.32 8.2131 1 0.995 200 126.47 30.25962 0.15 47 51.17 7.1865 2 0.99 100 122.11 24.19743 0.23 48 56.98 6.9572 3 0.98 50 117.04 18.51684 0.31 64.45 61.94 7.033 4 0.96 25 111.09 13.50065 0.38 68 66.46 7.2149 5 0.9 10 101.32 8.83816 0.46 76.67 70.79 7.4054 6 0.8 5 91.72 7.6367 0.54 77.8 75.07 7.5524 7 0.667 3 82.56 7.63448 0.62 78.38 79.46 7.6279 8 0.5 2 72.92 7.48659 0.69 83.93 84.15 7.6268
10 0.77 85.8 89.38 7.60411 0.85 89.3 95.65 7.853812 0.92 109.93 104.4 9.8527
Total 92.1277
Standart Deviasi Return Period Standart
Deviasi
Standart Deviasi Return Period Standart
Deviasi
ANALISA FREKUENSI DENGAN DISTIBUSI NORMAL
No. Tahun No. Urut X Tr (thn)
1 1999 9 80 120 13.00
2 2000 12 70 105 6.50
3 2001 3 100 100 4.33
4 2002 1 120 90 3.25
5 2003 8 85 #N/A 2.60
6 2004 11 75 89 2.17
7 2005 4 90 87 1.86
8 2006 2 105 122 1.63
9 2007 7 87 80 1.44
10 2008 10 78 78 1.30
11 2009 6 89 75 1.18
12 2010 4 90 70 1.08
13 1.00
14 0.93
15 0.87
16 0.81
17
18
19
20
21
22
23
24
25
26
Jumlah data n 12
Nilai rata-rata X 89.083
Standard deviasi 13.879
Tr (tahun) Peluang
2 0.00 89.08 0.50
5 0.84 100.74 0.20
10 1.28 106.85 0.10
25 1.64 111.85 0.04
50 2.05 117.54 0.02
100 2.33 121.42 0.01
Xurut
SX
KTr XTr (mm)
No. Tr (tahun) KTr Peluang
1 1.001 -3.05 0.9992 1.005 -2.58 0.9953 1.010 -2.33 0.9904 1.050 -1.64 0.9505 1.110 -1.28 0.9006 1.250 -0.84 0.8007 1.330 -0.67 0.7508 1.430 -0.52 0.7009 1.670 -0.25 0.600
10 2.000 0.00 0.50011 2.500 0.25 0.40012 3.330 0.52 0.30013 4.000 0.67 0.25014 5.000 0.84 0.20015 10.000 1.28 0.10016 25.000 1.64 0.04017 50.000 2.05 0.02018 100.000 2.33 0.01019 200.000 2.58 0.00520 500.000 2.88 0.00221 1000.000 3.09 0.001
Harga KTr Perhitungan Distribusi Normal
ANALISA FREKUENSI DENGAN LOG NORMAL 2 PARAMETER
No. Tahun No. Urut X X urut Tr (thn)
1 1999 7 80 120 11.00
2 2000 10 70 105 5.50
3 2001 3 100 100 3.67
4 2002 1 120 90 2.75
5 2003 6 85 87 2.20
6 2004 9 75 85 1.83
7 2005 4 90 80 1.57
8 2006 2 105 122 1.38
9 2007 5 87 75 1.22
10 2008 8 78 70 1.10
Jumlah data n 10
Standar deviasi 15.34
Nilai rata-rata X 89.00
Koefisien Variasi 0.172
Tr (tahun) Peluang
2 -0.0848 87.70 0.50
5 0.8025 101.31 0.20
10 1.3195 109.24 0.10
25 1.8678 117.65 0.04
50 2.3265 124.69 0.02
100 2.7114 130.59 0.01
SX
CV
KTr XTr (mm)
Variasi RETURN PERIODE(YEAR)Coef. 2 5 10 20 25 50 100
CV EXCEEDENCE PROBABILITY0.500 0.200 0.100 0.050 0.040 0.020 0.010
0.05 -0.0250 0.8334 1.2965 1.6863 1.7609 2.1341 2.45700.10 -0.0496 0.8222 1.3078 1.7247 1.8061 2.2130 2.54890.15 -0.0738 0.8085 1.3156 1.7598 1.8482 2.2899 2.26070.20 -0.0971 0.7926 1.3200 1.7911 1.8866 2.3640 2.77160.25 -0.1194 0.7746 1.3209 1.8183 1.9206 2.4318 2.88050.30 -0.1406 0.7647 1.3183 1.8414 1.9514 2.5015 2.98660.35 -0.1604 0.7333 1.3126 1.8602 1.9775 2.5638 3.08900.40 -0.1788 0.7100 1.3037 1.8746 1.9990 2.6212 3.18700.45 -0.1957 0.6870 1.2920 1.8848 2.0162 2.6731 3.27990.50 -0.2111 0.6626 1.2778 1.8909 2.0291 2.7202 3.367.0.55 -0.2251 0.6379 1.2613 1.8931 2.0378 2.7613 3.44880.60 -0.2375 0.6129 1.2428 1.8915 2.1475 2.7971 3.52110.65 -0.2185 0.5879 1.2226 1.8866 2.0435 2.8279 3.39300.70 -0.2582 0.5631 1.2011 1.8786 2.0410 2.8532 3.36630.75 -0.2667 0.5387 1.1784 1.8677 2.0353 2.8735 3.71180.80 -0.2739 0.5118 1.1548 1.8543 2.0268 2.8891 3.76170.85 -0.2801 0.4914 1.1306 1.8388 2.0157 2.9002 3.80560.90 -0.2852 0.4686 1.1060 1.8212 2.0012 2.9010 3.81370.95 -0.2895 0.4466 1.0810 1.8021 1.9868 2.9103 3.87621.00 -0.2929 0.4254 1.0560 1.7815 1.9681 2.9010 3.9035
Harga KTr Perhitungan Metode Log Normal 2 Parameter
ANALISA FREKUENSI DENGAN LOG NORMAL 3 PARAMETER
No. Tahun No. Urut X X urut Tr (thn)
1 1999 7 80 120 11.00
2 2000 10 70 105 5.50
3 2001 3 100 100 3.67
4 2002 1 120 90 2.75
5 2003 6 85 87 2.20
6 2004 9 75 85 1.83
7 2005 4 90 80 1.57
8 2006 2 105 122 1.38
9 2007 5 87 75 1.22
10 2008 8 78 70 1.10
Jumlah data n 10
Standar deviasi "X" 15.34
Nilai rata-rata "X" X 89.00
Koefisien kemencengan 0.524
Tr (tahun) Peluang
2 -0.0869 87.67 0.50
5 2.1720 122.32 0.20
10 3.4040 141.22 0.10
25 4.6500 160.33 0.04
50 5.6556 175.76 0.02
100 6.4784 188.38 0.01
SX
CS
KTr XTr (mm)
Skew RETURN PERIODE(YEAR)Coef. 2 5 10 20 25 50 100
EXCEEDENCE PROBABILITYCs' 0.500 0.200 0.100 0.050 0.040 0.020 0.010
-2.0 0.2366 -0.6144 -1.2437 -1.8916 -2.0420 -2.7943 -3.5196-1.8 0.2240 -0.6395 -1.2621 -1.8928 -2.0370 -2.7578 -3.4433-1.6 0.2092 -0.6654 -1.2792 -1.8901 -2.0274 -2.7138 -3.3570-1.4 0.1920 -0.6920 -1.2943 -1.8827 -2.0125 -2.6615 -3.2601-1.2 0.1722 -0.7186 -1.3067 -1.8696 -1.9914 -2.6002 -3.1521-1.0 0.1495 -0.7449 -1.3156 -1.8501 -1.9633 -2.5294 -3.0333-0.8 0.1241 -0.7700 -1.3201 -1.8235 -1.9278 -2.4492 -2.9043-0.6 0.0959 -0.7930 -0.3194 -1.7894 -1.8845 -2.3600 -2.7665-0.4 0.0654 -0.8131 -0.3128 -1.7478 -1.8337 -2.2631 -2.6223-0.2 0.0332 -0.8296 -0.3002 -1.6993 -1.7761 -2.1602 -2.47450.0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.00000.2 -0.0332 0.8296 1.3002 1.6993 1.7761 2.1602 2.47450.4 -0.0654 0.8131 1.3128 1.7478 1.8337 2.2631 2.62230.6 -0.0950 0.7930 1.3194 1.7894 1.8845 2.3600 2.76650.8 -0.1241 0.7700 1.3201 1.8235 1.9278 2.4492 2.90431.0 -0.1495 0.7449 1.3156 1.8501 1.9633 2.5294 3.03331.2 -0.1722 0.7186 1.3067 1.8696 1.9914 2.6002 3.15211.4 -0.1920 0.6920 1.2943 1.8827 2.0125 2.6615 3.26011.6 -0.2092 0.6654 1.2792 1.8901 2.0274 2.7138 3.35701.8 -0.2240 0.6395 1.2621 1.8928 2.0370 2.7578 3.44332.0 -0.2366 0.6144 1.2437 1.8916 2.0420 2.7943 3.5196
Harga KTr Perhitungan Metode Log Normal 3 Parameter
ANALISA FREKUENSI DENGAN GUMBELL SUBAN FLARE
No. Tahun X Tr (tahun)
1 1999 80 81.0 120 11.000
2 2000 70 361.0 105 5.500
3 2001 100 121.0 100 3.667
4 2002 120 961.0 90 2.750
5 2003 85 16.0 87 2.200
6 2004 75 196.0 85 1.833
7 2005 90 1.0 80 1.571
8 2006 105 256.0 122 1.375
9 2007 87 4.0 75 1.222
10 2008 78 121.0 70 1.100
Jumlah data yang dipergunakan n 10
Jumlah nilai data 890.00
Nilai rata-rata X 89.00
Jumlah selisih dengan mean pangkat 2 2118.00.
Standard deviasi 15.34
0.4952
0.9496
Tr (tahun) Peluang
2 0.3665 86.92 0.50
5 1.4999 105.23 0.20
10 2.2504 117.35 0.10
25 3.1985 132.67 0.04
50 3.9019 144.04 0.02
100 4.6001 155.31 0.01
(X1 - X)2 X urut
SX
S(X1 - X)2
SX
Koefisien yn (reduced mean) Yn
Koefisien sn (reduced Sd) Sn
YTr XTr (mm)
Sampel Yn Sn Sampel Yn Sn
10 0.4952 0.9496 56 0.5508 1.1696
11 0.4996 0.9676 57 0.5511 1.1708
12 0.5035 0.9833 58 0.5515 1.1721
13 0.5070 0.9971 59 0.5519 1.1734
14 0.5100 1.0095 60 0.5521 1.1747
15 0.5128 1.0206 61 0.5524 1.1759
16 0.5157 1.0316 62 0.5527 1.1770
17 0.5181 1.0411 63 0.5530 1.1782
18 0.5202 1.0493 64 0.5533 1.1793
19 0.5220 1.0565 65 0.5535 1.1803
20 0.5236 1.0628 66 0.5538 1.1814
21 0.5252 1.0696 67 0.5540 1.1824
22 0.5268 1.0754 68 0.5543 1.1834
23 0.5283 1.0811 69 0.5545 1.1844
24 0.5296 1.0864 70 0.5548 1.1854
25 0.5309 1.0915 71 0.5550 1.1854
26 0.5320 1.0861 72 0.5552 1.1873
27 0.5332 1.1004 73 0.5555 1.1881
28 0.5343 1.1047 74 0.5557 1.1890
29 0.5353 1.1086 75 0.5559 1.1898
30 0.5362 1.1124 76 0.5561 1.1906
31 0.5371 1.1159 77 0.5563 1.1915
32 0.5380 1.1193 78 0.5565 1.1923
33 0.5388 1.1226 79 0.5567 1.1930
34 0.5396 1.1255 80 0.5569 1.1938
35 0.5402 1.1287 81 0.5570 1.1945
36 0.5410 1.1313 82 0.5572 1.1953
37 0.5418 1.1339 83 0.5574 1.1959
38 0.5424 1.1363 84 0.5576 1.1967
39 0.5430 1.1388 85 0.5578 1.1973
40 0.5436 1.1413 86 0.5580 1.1987
41 0.5442 1.1436 87 0.5581 1.1987
42 0.5448 1.1458 88 0.5583 1.1994
43 0.5453 1.1480 89 0.5583 1.2001
44 0.5458 1.1499 90 0.5586 1.2007
45 0.5463 1.1519 91 0.5587 1.2013
46 0.5468 1.1538 92 0.5589 1.2020
47 0.5473 1.1557 93 0.5591 1.2026
48 0.5477 1.1574 94 0.5592 1.2032
49 0.5481 1.1590 95 0.5593 1.2038
50 0.5485 1.1607 96 0.5595 1.2044
51 0.5489 1.1623 97 0.5596 1.2049
52 0.5493 1.1638 98 0.5598 1.2055
53 0.5497 1.1658 99 0.5599 1.2060
54 0.5501 1.1667 100 0.5600 1.2065
55 0.5504 1.1681
Harga yn & Sn Perhitungan Metode Gumbel
ANALISA FREKUENSI DENGAN PEARSON III SEKAYU
No. Tahun X
1 1999 80 -729
2 2000 70 -6859
3 2001 100 1331
4 2002 120 29791
5 2003 85 -64
6 2004 75 -2744
7 2005 90 1
8 2006 105 4096
9 2007 87 -8
10 2008 78 -1331
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
Jumlah data yang dipergunakan n 10
Jumlah nilai data 890.00
Nilai rata-rata X 89.00
Standard deviasi 15.34
koefisien kemencengan 0.903
Tr (tahun) Peluang
2 -0.146 86.77 0.50
5 0.421 95.45 0.20
10 1.364 109.93 0.10
25 1.799 116.61 0.04
50 2.525 127.73 0.02
100 5.089 167.07 0.01
(Xi - X)3
SX
SX
CS
KTr XTr (mm)
Skew RETURN PERIODE(YEAR)Coef. 2 5 10 25 50 100
C' EXCEEDENCE PROBABILITYCs' 0.500 0.200 0.100 0.040 0.020 0.010
-3.0 0.396 0.49500 0.660 0.66225 0.666 0.667-2.5 0.360 0.51412 0.771 0.78113 0.798 0.799-2.0 0.307 0.52750 0.895 0.92688 0.980 0.990-1.5 0.240 0.53175 1.018 1.09263 1.217 1.256-1.2 0.195 0.52913 1.086 1.19588 1.379 1.449-1.0 0.161 0.52363 1.128 1.26450 1.492 1.880-0.9 0.148 0.52263 1.147 1.28650 1.519 1.660-0.8 0.132 0.51975 1.166 1.33100 1.606 1.733-0.7 0.116 0.51613 1.183 1.36300 1.663 1.806-0.6 0.099 0.51188 1.200 1.39500 1.720 1.880-0.5 0.083 0.50788 1.216 1.42638 1.777 1.955-0.4 0.066 0.50288 1.231 1.45600 1.831 2.029-0.3 0.050 0.49738 1.243 1.48563 1.890 2.101-0.2 0.033 0.49238 1.258 1.51563 1.945 2.178-0.1 0.017 0.48688 1.270 1.54375 2.000 2.2320.0 0.000 0.48075 1.282 1.56288 2.031 2.3260.1 -0.017 0.47387 1.292 1.59763 2.107 2.1000.2 -0.033 0.46725 1.301 1.62275 2.159 2.4720.3 -0.050 0.45963 1.309 1.64725 2.211 2.3140.4 -0.066 0.45263 1.317 1.67100 2.261 2.6150.5 -0.083 0.44425 1.323 1.69350 2.311 2.6860.6 -0.099 0.43613 1.328 1.70713 2.339 2.7550.7 -0.116 0.42738 1.333 1.62325 2.107 2.8240.8 -0.132 0.41850 1.336 1.64238 2.153 2.8910.9 -0.148 0.40962 1.339 1.66113 2.198 2.9571.0 -0.164 0.40000 1.340 1.71575 2.342 3.0221.2 -0.195 0.36938 1.310 1.80350 2.626 3.1491.5 -0.240 0.34987 1.333 1.85050 2.713 3.3302.0 -0.307 0.29638 1.302 1.90575 2.912 3.6052.3 -0.360 0.24375 1.250 1.91300 3.018 3.8153.0 -0.896 -0.11750 1.180 1.91950 3.152 1.051
Harga KTr Perhitungan Metode Pearson III
0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.0040.00
50.00
60.00
70.00
80.00
90.00
100.00
110.00
120.00
130.00
Sebaran Normal
Sebaran Log Normar 2 Pa-rameter
Sebaran Gumbell
Sebaran Pearson III
Sebaran Log Pearson III
Sebaran Aktual
Weibull Probability
Cu
rah
Hu
jan
Mak
sim
um
(m
m)
ANALISA FREKUENSI DENGAN LOG PEARSON IIIKota Lahat
No. Tahun X log X
1 1999 80 1.9031 0.00166 -0.000072 2000 70 1.8451 0.00976 -0.000963 2001 100 2.0000 0.00315 0.000184 2002 120 2.0792 0.01830 0.002485 2003 85 1.9294 0.00021 0.000006 2004 75 1.8751 0.00474 -0.000337 2005 90 1.9542 0.00011 0.000008 2006 105 2.0212 0.00598 0.000469 2007 87 1.9395 0.00002 0.00000
10 2008 78 1.8921 0.00268 -0.00014
123456789
10
Jumlah data yang dipergunakan n 10
Jumlah nilai 'log X' 19.439
Nilai rata-rata 'log X' (mean) logX 1.944
Jumlah selisih dengan mean pangkat 2 0.047
Standard deviasi 'log X' 0.072
Jumlah selisih dengan mean pangkat 3 0.002
koefisien kemencengan 0.602
Tr (tahun)
2 4.415 2.2616 182.665 0.835 2.0040 100.92
10 1.371 2.0426 110.3025 1.977 2.0861 121.9450 2.395 2.1163 130.69100 2.781 2.1440 139.31
(log X1 - log X)2 (log X1 - log X)3
SlogX
S(log X1 - log X)2
S logX
S(log X1 - log X)3
CS
KTr log XTr XTr (mm)
Skew RETURN PERIODE(YEAR)Coef. 2 5 10 25 50 100 200
C' EXCEEDENCE PROBABILITYCs' 0.500 0.200 0.100 0.040 0.020 0.010 0.005
-3.0 0.396 0.636 0.666 0.666 0.666 0.667 0.667-2.9 0.390 0.651 0.681 0.683 0.689 0.690 0.690-2.8 0.384 0.666 0.702 0.712 0.714 0.714 0.714-2.7 0.376 0.681 0.747 0.738 0.740 0.740 0.741-2.6 0.368 0.696 0.771 0.764 0.768 0.769 0.769-2.5 0.360 0.711 0.795 0.793 0.798 0.799 0.800-2.4 0.351 0.725 0.819 0.823 0.830 0.832 0.833-2.3 0.341 0.739 0.844 0.855 0.864 0.867 1.869-2.2 0.330 0.752 0.869 0.888 0.900 0.905 0.907-2.1 0.319 0.765 0.895 0.923 0.939 0.946 0.949-2.0 0.307 0.777 0.920 0.959 0.980 0.990 0.995-1.9 0.294 0.788 0.945 0.996 1.023 1.038 1.044-1.8 0.282 0.799 0.970 1.035 1.069 1.087 1.097-1.7 0.268 0.808 0.884 1.075 1.116 1.140 1.155-1.6 0.254 0.817 0.994 1.116 1.166 1.197 1.216-1.5 0.240 0.825 1.018 1.157 1.217 1.256 1.282-1.4 0.225 0.832 1.041 1.198 1.270 1.318 1.351-1.3 0.210 0.838 1.064 1.240 1.324 1.383 1.424-1.2 0.195 0.844 1.086 1.282 1.379 1.449 1.501-1.1 0.180 0.848 1.107 1.324 1.435 1.518 1.581-1.0 0.164 0.852 1.128 1.366 1.492 1.588 1.664-0.9 0.148 0.854 1.147 1.407 1.549 1.660 1.749-0.8 0.132 0.856 1.166 1.448 1.606 1.733 1.837-0.7 0.116 0.857 1.183 1.488 1.663 1.806 1.926-0.6 0.099 0.857 1.200 1.528 1.720 1.880 2.016-0.5 0.083 0.856 1.216 1.567 1.770 1.955 2.108-0.4 0.066 0.855 1.231 1.606 1.834 2.029 2.201-0.3 0.500 0.853 1.245 1.643 1.890 2.104 2.294-0.2 0.033 0.850 1.258 1.680 1.945 2.178 2.388-0.1 0.017 0.846 1.270 1.716 2.000 2.252 2.4820.0 0.000 0.842 1.282 1.751 2.054 2.326 2.5760.1 -0.017 0.836 1.292 1.785 2.107 2.400 2.6700.2 -0.033 0.830 1.301 1.818 2.159 2.472 2.7630.3 -0.050 0.824 1.309 1.849 2.211 2.544 2.8560.4 -0.066 0.816 1.317 1.880 2.261 2.615 2.9490.5 -0.083 0.808 1.323 1.910 2.311 2.686 3.0410.6 -0.099 0.800 1.328 1.939 2.359 2.755 3.1320.7 -0.116 0.790 1.333 1.967 2.407 2.824 3.2230.8 -0.132 0.780 1.336 1.998 2.453 2.891 3.3120.9 -0.148 0.769 1.339 2.018 2.498 2.957 3.4011.0 -0.164 0.758 1.340 2.043 2.542 3.022 3.4891.1 -0.180 0.745 1.341 2.066 2.585 3.087 3.5751.2 -0.195 0.732 1.340 2.087 2.626 3.149 3.6611.3 -0.210 0.719 1.339 2.108 2.666 3.211 3.7451.4 -0.225 0.705 1.337 2.128 2.706 3.271 3.8281.5 -0.240 0.690 1.333 2.146 2.743 3.330 3.9101.6 -0.254 0.675 1.329 2.163 2.780 3.388 3.9901.7 -0.268 0.660 1.324 2.179 2.815 3.444 4.0691.8 -0.282 0.643 1.318 2.193 2.828 3.499 4.1471.9 -0.282 0.627 1.310 2.207 2.881 3.553 4.2232.0 -0.307 0.609 1.302 2.219 2.912 3.605 4.2982.1 -0.319 0.592 1.294 2.230 2.942 3.656 4.3722.2 -0.330 0.574 1.284 2.240 2.970 3.705 4.4442.3 -0.341 0.555 1.274 2.248 3.997 3.753 4.5152.4 -0.351 0.537 1.262 2.256 3.023 3.800 4.5842.5 -0.360 0.518 1.250 2.262 3.048 3.845 4.6522.6 -0.368 0.799 1.238 2.267 3.017 3.899 4.7182.8 -0.384 0.460 1.210 2.275 3.114 3.937 4.8472.8 -0.376 0.479 1.224 2.272 3.093 3.932 4.7832.9 -0.390 0.440 1.195 2.277 3.134 4.013 4.9093.0 -0.396 0.420 1.180 2.278 3.152 4.051 4.970
Harga KTr Perhitungan Metode Pearson III dan Log Pearson III
nNilai kritis Smirnov-Kolmogorov (a)0.2 0.1 0.05 0.01
5 0.45 0.51 0.56 0.6710 0.32 0.37 0.41 0.4915 0.27 0.30 0.34 0.40 0.41820 0.23 0.26 0.29 0.3625 0.21 0.24 0.27 0.3230 0.19 0.22 0.24 0.2935 0.18 0.20 0.23 0.2740 0.17 0.19 0.21 0.2545 0.16 0.18 0.20 0.2450 0.15 0.17 0.19 0.23
n>501.07 1.22 1.36 1.63 12.2402
79.9198104.4002
0.2 0.1 0.05 0.0110 0.3200 0.3700 0.4100 0.490012 0.3000 0.3420 0.3820 0.454015 0.2700 0.3000 0.3400 0.4000
n0.5 n0.5 n0.5 n0.5
RESUME ANALISA FREKUENSI CURAH HUJAN 1 HARIANKota Lahat
Analisa Frekuensi Curah Hujan Rencana (mm)
Normal Gumbell Pearson III
2 89.08 87.70 86.92 86.77 182.665 100.74 101.31 105.23 95.45 100.9210 106.85 109.24 117.35 109.93 110.3025 111.85 117.65 132.67 116.61 121.9450 117.54 124.69 144.04 127.73 130.69
100 121.42 130.59 155.31 167.07 139.31
RESUME SMIRNOV-KOLMOGOROVKota Lahat
No.
Selisih Untuk Nilai Kritis 5 %
Normal Gumbell Pearson III Log Pearson III
1 10.89 11.23 1.03 14.10 13.322 -0.68 3.99 -1.95 5.77 3.323 0.07 3.54 0.51 4.66 1.144 2.86 3.54 -3.83 -2.57 -6.915 #N/A -3.74 -2.09 -3.43 -8.436 -5.06 -3.70 0.16 -3.67 -9.237 -4.72 -6.97 -0.81 -7.19 -13.238 31.00 36.52 45.23 36.09 29.639 -7.79 -9.16 2.62 -9.78 -16.62
10 -9.14 -12.98 3.13 -13.77 -20.95
Selisih Maks #N/A 36.52 45.23 36.09 29.63Uji Kecocokan #N/A Diterima Ditolak Diterima Diterima
Periode Ulang
Log Normal
2 Paramater
Log Pearson III
Log Normal 2 Paramater
Kurva IDF dengan hasil R GumbelIDF Talbot
No Tr (tahun) I Jakarta,60 I Jakarta,10 I Kenten,60 I Kenten,10 Selisih
1 2 49.8 135.6 89.083 174.883 -39.283
2 5 74.3 193.8 100.742 220.242 -26.442
3 10 90.5 237.6 106.849 253.949 -16.349
4 25 111 292.8 111.845 293.645 -0.845
5 50 126.3 334.2 117.535 325.435 8.765
6 100 141.4 374.4 121.422 354.422 19.978
I (mm/jam),tr 2 I (mm/jam),tr 5
0 216.608 288.743 350.440 435.089 503.58715 159.519 196.887 223.218 252.588 276.52330 126.246 149.369 163.765 177.947 190.58845 104.458 120.328 129.321 137.357 145.40260 89.083 100.742 106.849 111.845 117.53575 77.654 86.639 91.030 94.326 98.63290 68.824 76.000 79.291 81.551 84.967
105 61.797 67.688 70.234 71.824 74.628120 56.072 61.015 63.034 64.170 66.532135 51.318 55.539 57.173 57.991 60.021150 47.307 50.966 52.309 52.897 54.670165 43.877 47.088 48.208 48.625 50.195180 40.911 43.759 44.703 44.992 46.398
t (durasi, menit)
I (mm/jam),tr 10
I (mm/jam),tr 25
I (mm/jam),tr 50
0 20 40 60 80 100 120 140 160 1800.000
100.000
200.000
300.000
400.000
500.000
600.000
700.000
Kurva IDF Talbot dengan cara Empiris
I (mm/jam),tr 2 I (mm/jam),tr 5 I (mm/jam),tr 10
I (mm/jam),tr 25 I (mm/jam),tr 50 I (mm/jam),tr 100
durasi (menit)
inte
nsit
as (
mm
/jam
)
a b Tr (Tahun) a b
9078.782 41.913 2 9078.782 41.913
9283.490 32.151 5 9283.490 32.151
9222.990 26.318 10 9222.990 26.318
9032.655 20.760 25 9032.655 20.760
9199.182 18.267 50 9199.182 18.267
9234.856 16.056 100 9234.856 16.056
575.161297.360 12.5 0.013 1.73205081200.513 0.9221378151.252 0.4166667121.422 1.3388045101.419
87.07576.28667.87561.13555.61351.00547.103
jalan luarjln kompleksarea parkir
I (mm/jam),tr 100
Tabel L.2-4 : IDF Analysis untuk setiap periode ulang
No. t (menit)Kurva Basis Intensity Duration Frequency (IDF) in mm/jam
i (mm/jam) it i^2 i^2t i-talbot delta^2 T=2 T=5 T=10 T=25 T=50 T=1001 5 195.0 975 38025 190125 193.6 2.0059 123.0 139.1 147.5 154.4 162.2 167.62 10 176.0 1760 30976 309760 174.5 2.1958 110.9 125.4 133.0 139.2 146.3 151.13 20 145.0 2900 21025 420500 145.8 0.6391 92.6 104.7 111.1 116.3 122.2 126.24 30 125.0 3750 15625 468750 125.2 0.0388 79.5 89.9 95.4 99.8 104.9 108.45 40 109.0 4360 11881 475240 109.7 0.4847 69.7 78.8 83.6 87.5 91.9 95.06 50 98.0 4900 9604 480200 97.6 0.1514 62.0 70.1 74.4 77.8 81.8 84.57 60 88.0 5280 7744 464640 87.9 0.0058 55.8 63.2 67.0 70.1 73.7 76.18 70 80.0 5600 6400 448000 80.0 0.0002 50.8 57.5 60.9 63.8 67.0 69.29 80 73.0 5840 5329 426320 73.4 0.1320 46.6 52.7 55.9 58.5 61.5 63.510 90 67.0 6030 4489 404010 67.8 0.5672 43.0 48.7 51.6 54.0 56.8 58.711 100 62.0 6200 3844 384400 62.9 0.8836 40.0 45.2 48.0 50.2 52.7 54.512 110 58.0 6380 3364 370040 58.8 0.5858 37.3 42.2 44.8 46.9 49.2 50.913 120 55.0 6600 3025 363000 55.1 0.0121 35.0 39.6 42.0 43.9 46.2 47.714 130 52.0 6760 2704 351520 51.9 0.0137 33.0 37.3 39.5 41.4 43.5 44.915 140 49.0 6860 2401 336140 49.0 0.0002 31.1 35.2 37.3 39.1 41.1 42.416 150 46.5 6975 2162 324338 46.4 0.0032 29.5 33.4 35.4 37.0 38.9 40.217 160 44.0 7040 1936 309760 44.1 0.0170 28.0 31.7 33.6 35.2 37.0 38.218 170 42.0 7140 1764 299880 42.0 0.0013 26.7 30.2 32.0 33.5 35.2 36.419 180 40.0 7200 1600 288000 40.1 0.0175 25.5 28.8 30.6 32.0 33.6 34.720 190 38.0 7220 1444 274360 38.4 0.1547 24.4 27.6 29.2 30.6 32.2 33.221 200 36.5 7300 1332 266450 36.8 0.0892 23.4 26.4 28.0 29.3 30.8 31.922 210 35.0 7350 1225 257250 35.3 0.1097 22.4 25.4 26.9 28.2 29.6 30.623 220 34.0 7480 1156 254320 34.0 0.0006 21.6 24.4 25.9 27.1 28.5 29.424 230 33.5 7705 1122 258118 32.7 0.6060 20.8 23.5 24.9 26.1 27.4 28.325 240 33.0 7920 1089 261360 31.6 2.0849 20.0 22.7 24.0 25.2 26.4 27.3
Jumlah 3005 1814.5 147525 181267 8686480 10.8003
a b Variance = 0.6573Pembilang = 10979759334 50522112.5Penyebut = 1239258.5 1239258.5
Kurva Basis 8859.9 40.8
i2 5627.6 40.8 catatan :i5 6364.1 40.8 a = parameter pembilang pada persamaan Talbot
i10 6749.9 40.8 b = parameter penyebut pada persamaan Talboti25 7065.6 40.8i50 7425.0 40.8 Persamaan Talbot : i = a/(t + b)i100 7670.5 40.8 Variance = sqrt ((i-talbot - i)^2/N)