tabel 1 : Kedalaman Hujan Dengan Beberapa Durasi

No TahunDurasi

5 10 15 30 45 60 120 180 3601 1984 20.0 25.0 30.0 50.0 52.0 53.0 55.0 55.0 55.02 1985 18.0 22.0 32.0 46.0 46.0 47.0 51.0 57.0 67.03 1986 21.0 26.0 28.0 40.0 43.0 44.0 50.0 66.0 87.04 1987 11.0 20.0 25.0 30.0 35.0 38.0 45.0 52.0 73.05 1988 22.0 25.0 38.0 40.0 40.0 44.0 62.0 70.06 1989 21.0 31.0 42.0 62.0 78.0 80.0 89.0 91.0 98.07 1990 11.0 15.0 18.0 28.0 38.0 40.0 41.0 44.0 91.08 1991 27.0 30.0 34.0 43.0 50.0 54.0 72.0 80.0 90.09 1992 17.0 20.0 32.0 43.0 59.0 75.0 107.0 107.0 135.0

10 1993 17.0 25.0 36.0 60.0 72.0 85.0 98.0 102.0 115.011 1994 15.0 24.0 29.0 37.0 50.0 56.0 99.0 114.0 126.012 1995 14.0 28.0 62.0 82.0 82.0 91.0 175.0 185.0 192.013 1996 20.0 40.0 50.0 65.0 70.0 80.0 113.0 120.0 204.014 1997 10.0 10.0 16.0 47.0 69.0 80.0 103.0 131.015 1998 18.0 36.0 54.0 73.0 93.0 93.0 96.0 96.016 1999 15.0 27.0 35.0 47.0 61.0 67.0 79.0 83.0 85.017 2000 15.0 25.0 35.0 55.0 71.0 95.0 149.0 149.0 148.018 2001 31.0 46.0 62.0 72.0 100.0 105.0 123.0 129.019 2002 27.0 32.0 37.0 60.0 88.0 93.0 93.0 96.020 2003 15.0 26.0 36.0 51.0 71.0 81.0 102.0 101.0 117.021 2004 16.0 26.0 30.0 44.0 55.0 80.0 100.0 100.0 108.022 2005 10.0 21.0 31.0 52.0 59.0 59.0 65.0 68.0 81.023 2006 12.0 20.0 31.0 41.0 48.0 50.0 62.0 89.0 130.024 2007 15.0 22.0 32.0 58.0 80.0 85.0 92.0 100.0 103.025 2008 24.0 32.0 43.0 80.0 90.0 98.0 116.0 118.0 151.0

Tabel Reduced variateT (tahun) Yt

2 0.36655 1.4999

10 2.250220 2.960625 3.198550 3.9019

100 4.6001200 5.2960

Tabel Hubungan antara Mean Yn dengan besaranya sampel Ǹ serta Sn

Ǹ Yn Sn 20 0.5236 1.062821 0.5252 1.069622 0.5268 1.075423 0.5283 1.081124 0.5296 1.086425 0.5309 1.091526 0.5320 1.0961

tabel 2 : Intensitas Curah Hujan

No TahunDurasi Tabel Reduced variate

5 10 15 30 45 60 120 180 360 T (tahun) Yt 1 1984 240.0 150.0 120.0 100.0 69.3 53.0 27.5 18.3 9.2 2 0.36652 1985 216.0 132.0 128.0 92.0 61.3 47.0 25.5 19.0 11.2 5 1.49993 1986 252.0 156.0 112.0 80.0 57.3 44.0 25.0 22.0 14.5 10 2.25024 1987 132.0 120.0 100.0 60.0 46.7 38.0 22.5 17.3 12.2 20 2.96065 1988 264.0 100.0 76.0 53.3 40.0 22.0 20.7 11.7 25 3.19856 1989 252.0 186.0 168.0 124.0 104.0 80.0 44.5 30.3 16.3 50 3.90197 1990 132.0 90.0 72.0 56.0 50.7 40.0 20.5 14.7 15.2 100 4.60018 1991 324.0 180.0 136.0 86.0 66.7 54.0 36.0 26.7 15.0 200 5.29609 1992 204.0 120.0 128.0 86.0 78.7 75.0 53.5 35.7 22.5

10 1993 204.0 150.0 144.0 120.0 96.0 85.0 49.0 34.0 19.2 Tabel Hubungan antara Mean Yn dengan besaranya sampel Ǹ serta Sn 11 1994 180.0 144.0 116.0 74.0 66.7 56.0 49.5 38.0 21.012 1995 168.0 168.0 248.0 164.0 109.3 91.0 87.5 61.7 32.0 Ǹ Yn Sn 13 1996 240.0 240.0 200.0 130.0 93.3 80.0 56.5 40.0 34.0 20 0.5236 1.062814 1997 120.0 60.0 64.0 94.0 69.0 40.0 34.3 21.8 21 0.5252 1.069615 1998 216.0 216.0 216.0 146.0 93.0 46.5 32.0 16.0 22 0.5268 1.075416 1999 180.0 162.0 140.0 94.0 81.3 67.0 39.5 27.7 14.2 23 0.5283 1.081117 2000 180.0 150.0 140.0 110.0 94.7 95.0 74.5 49.7 24.7 24 0.5296 1.086418 2001 372.0 276.0 248.0 144.0 100.0 52.5 41.0 21.5 25 0.5309 1.091519 2002 324.0 192.0 148.0 120.0 88.0 46.5 31.0 16.0 26 0.5320 1.096120 2003 180.0 156.0 144.0 102.0 94.7 81.0 51.0 33.7 19.521 2004 192.0 156.0 120.0 88.0 73.3 80.0 50.0 33.3 18.022 2005 120.0 126.0 124.0 104.0 78.7 59.0 32.5 22.7 13.523 2006 144.0 120.0 124.0 82.0 64.0 50.0 31.0 29.7 21.724 2007 180.0 132.0 128.0 116.0 106.7 85.0 46.0 33.3 17.225 2008 288.0 192.0 172.0 160.0 120.0 98.0 58.0 39.3 25.2

n 25 24 25 25 21 25 25 25 25rata-rata 212.2 157.3 141.6 104.3 79.4 69.9 43.5 31.4 18.5

standar deviasi 66.4 46.2 46.2 29.0 21.1 20.2 16.3 10.6 6.1

Tabel 3 : Gumbel

No Kala Ulang TDurasi

5 10 15 30 45 60 120 180 3601 2 202.2 150.3 134.6 100.0 76.2 66.9 41.0 29.8 17.62 5 271.1 198.5 182.6 130.0 98.6 87.9 58.0 40.8 23.93 10 316.8 230.4 214.4 149.9 113.4 101.7 69.1 48.1 28.14 20 360.0 260.6 244.5 168.8 127.5 114.9 79.7 55.0 32.15 25 374.5 270.7 254.6 175.1 132.2 119.3 83.3 57.3 33.46 50 417.3 300.6 284.3 193.7 146.0 132.3 93.8 64.1 37.37 100 459.8 330.2 313.9 212.3 159.8 145.3 104.2 70.9 41.28 200 502.2 359.8 343.4 230.7 173.6 158.1 114.6 77.7 45.1

TABEL 4 : Kala Ulang 5 TahunNo t I I.t I2 I2.t log t log I log t.log I log t2 t1/2 I.t1/2 I2.t1/2 a b1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

1 5 271.1 1355.7 73512.8 367564.1 0.7 2.4 1.7 0.5 2.2 606.3 164379.6 8311.091 29.494 TALBOT2 10 198.5 1984.9 39397.0 393970.3 1.0 2.3 2.3 1.0 3.2 627.7 124584.4 2.890 0.560 SHERMAN3 15 182.6 2739.4 33353.7 500305.3 1.2 2.3 2.7 1.4 3.9 707.3 129178.3 574.547 -0.423 ISHIGURO4 30 130.0 3900.7 16905.9 507178.0 1.5 2.1 3.1 2.2 5.5 712.2 92597.6 776.452 ANTILOG5 45 98.6 4437.6 9724.6 437606.9 1.7 2.0 3.3 2.7 6.7 661.5 65234.66 60 87.9 5271.6 7719.2 463154.7 1.8 1.9 3.5 3.2 7.7 680.6 59793.07 120 58.0 6954.7 3358.9 403065.1 2.1 1.8 3.7 4.3 11.0 634.9 36794.68 180 40.8 7351.5 1668.0 300248.8 2.3 1.6 3.6 5.1 13.4 547.9 22379.29 360 23.9 8612.2 572.3 206026.0 2.6 1.4 3.5 6.5 19.0 453.9 10858.5

∑ 1091.5 42608.2 186212.5 3579119.2 14.7 17.8 27.4 26.9 72.5 5632.2 705799.9

ANTILOG 776.452

TABEL 5 : Kala Ulang 5 Tahun

NO t I Intensitas Hujan DeviasiTalbot Sherman Ishiguro TALBOT SHERMAN ISHIGURO

1 2 3 4 5 6 7 8 9

1 5 271.1 240.9 315.4 316.8 -30.2 44.3 45.72 10 198.5 210.4 214.0 209.7 12.0 15.5 11.23 15 182.6 186.8 170.5 166.5 4.2 -12.1 -16.14 30 130.0 139.7 115.7 113.7 9.7 -14.3 -16.45 45 98.6 111.6 92.2 91.4 13.0 -6.4 -7.26 60 87.9 92.9 78.5 78.5 5.0 -9.4 -9.47 120 58.0 55.6 53.2 54.6 -2.4 -4.7 -3.48 180 40.8 39.7 42.4 44.2 -1.2 1.6 3.49 360 23.9 21.3 28.8 31.0 -2.6 4.9 7.0

Jumlah Deviasi 7.4 19.3 14.9deviasi Rata-rata 0.827 2.147 1.653

5 10 15 30 45 60 120 180 3600.0

25.0

50.0

75.0

100.0

125.0

150.0

175.0

200.0

225.0

250.0

275.0

300.0

325.0

350.0

IshiguroShermanTalbotPengukuran

Durasi Hujan (menit)

Intensitas Hujan (

mm/jam)

tabel 1 : Kedalaman Hujan

No TahunDurasi

5 10 15 30 45 60 120 180 3601 1984 20.0 25.0 30.0 50.0 52.0 53.0 55.0 55.0 55.02 1985 18.0 22.0 32.0 46.0 46.0 47.0 51.0 57.0 67.03 1986 21.0 26.0 28.0 40.0 43.0 44.0 50.0 66.0 87.04 1987 11.0 20.0 25.0 30.0 35.0 38.0 45.0 52.0 73.05 1988 22.0 25.0 38.0 40.0 40.0 44.0 62.0 70.06 1989 21.0 31.0 42.0 62.0 78.0 80.0 89.0 91.0 98.07 1990 11.0 15.0 18.0 28.0 38.0 40.0 41.0 44.0 91.08 1991 27.0 30.0 34.0 43.0 50.0 54.0 72.0 80.0 90.09 1992 17.0 20.0 32.0 43.0 59.0 75.0 107.0 107.0 135.0

10 1993 17.0 25.0 36.0 60.0 72.0 85.0 98.0 102.0 115.011 1994 15.0 24.0 29.0 37.0 50.0 56.0 99.0 114.0 126.012 1995 14.0 28.0 62.0 82.0 82.0 91.0 175.0 185.0 192.013 1996 20.0 40.0 50.0 65.0 70.0 80.0 113.0 120.0 204.014 1997 10.0 10.0 16.0 47.0 69.0 80.0 103.0 131.015 1998 18.0 36.0 54.0 73.0 93.0 93.0 96.0 96.016 1999 15.0 27.0 35.0 47.0 61.0 67.0 79.0 83.0 85.017 2000 15.0 25.0 35.0 55.0 71.0 95.0 149.0 149.0 148.018 2001 31.0 46.0 62.0 72.0 100.0 105.0 123.0 129.019 2002 27.0 32.0 37.0 60.0 88.0 93.0 93.0 96.020 2003 15.0 26.0 36.0 51.0 71.0 81.0 102.0 101.0 117.021 2004 16.0 26.0 30.0 44.0 55.0 80.0 100.0 100.0 108.022 2005 10.0 21.0 31.0 52.0 59.0 59.0 65.0 68.0 81.023 2006 12.0 20.0 31.0 41.0 48.0 50.0 62.0 89.0 130.024 2007 15.0 22.0 32.0 58.0 80.0 85.0 92.0 100.0 103.025 2008 24.0 32.0 43.0 80.0 90.0 98.0 116.0 118.0 151.0

Tabel Reduced variateT (tahun) Yt

2 0.36655 1.4999

10 2.250220 2.960625 3.198550 3.9019

100 4.6001200 5.2960

Tabel Hubungan antara Mean Yn dengan besaranya sampel Ǹ serta Sn

Ǹ Yn Sn 20 0.5236 1.062821 0.5252 1.069622 0.5268 1.075423 0.5283 1.081124 0.5296 1.086425 0.5309 1.091526 0.5320 1.0961

tabel 2 : Intensitas Curah Hujan

No TahunDurasi

5 10 15 30 45 60 120 180 3601 1984 240.0 150.0 120.0 100.0 69.3 53.0 27.5 18.3 9.22 1985 216.0 132.0 128.0 92.0 61.3 47.0 25.5 19.0 11.23 1986 252.0 156.0 112.0 80.0 57.3 44.0 25.0 22.0 14.54 1987 132.0 120.0 100.0 60.0 46.7 38.0 22.5 17.3 12.25 1988 264.0 100.0 76.0 53.3 40.0 22.0 20.7 11.76 1989 252.0 186.0 168.0 124.0 104.0 80.0 44.5 30.3 16.37 1990 132.0 90.0 72.0 56.0 50.7 40.0 20.5 14.7 15.28 1991 324.0 180.0 136.0 86.0 66.7 54.0 36.0 26.7 15.09 1992 204.0 120.0 128.0 86.0 78.7 75.0 53.5 35.7 22.5

10 1993 204.0 150.0 144.0 120.0 96.0 85.0 49.0 34.0 19.211 1994 180.0 144.0 116.0 74.0 66.7 56.0 49.5 38.0 21.012 1995 168.0 168.0 248.0 164.0 109.3 91.0 87.5 61.7 32.0 13 1996 240.0 240.0 200.0 130.0 93.3 80.0 56.5 40.0 34.014 1997 120.0 60.0 64.0 94.0 69.0 40.0 34.3 21.815 1998 216.0 216.0 216.0 146.0 93.0 46.5 32.0 16.016 1999 180.0 162.0 140.0 94.0 81.3 67.0 39.5 27.7 14.217 2000 180.0 150.0 140.0 110.0 94.7 95.0 74.5 49.7 24.718 2001 372.0 276.0 248.0 144.0 100.0 52.5 41.0 21.519 2002 324.0 192.0 148.0 120.0 88.0 46.5 31.0 16.020 2003 180.0 156.0 144.0 102.0 94.7 81.0 51.0 33.7 19.521 2004 192.0 156.0 120.0 88.0 73.3 80.0 50.0 33.3 18.022 2005 120.0 126.0 124.0 104.0 78.7 59.0 32.5 22.7 13.523 2006 144.0 120.0 124.0 82.0 64.0 50.0 31.0 29.7 21.724 2007 180.0 132.0 128.0 116.0 106.7 85.0 46.0 33.3 17.225 2008 288.0 192.0 172.0 160.0 120.0 98.0 58.0 39.3 25.2

n 25 24 25 25 21 25 25 25 25rata-rata 212.2 157.3 141.6 104.3 79.4 69.9 43.5 31.4 18.5

standar deviasi 66.4 46.2 46.2 29.0 21.1 20.2 16.3 10.6 6.1

Tabel 3 : Gumbel

No Kala Ulang TDurasi

5 10 15 30 45 60 120 180 3601 2 202.2 150.3 134.6 100.0 76.2 66.9 41.0 29.8 17.62 5 271.1 198.5 182.6 130.0 98.6 87.9 58.0 40.8 23.93 10 316.8 230.4 214.4 149.9 113.4 101.7 69.1 48.1 28.14 20 360.0 260.6 244.5 168.8 127.5 114.9 79.7 55.0 32.15 25 374.5 270.7 254.6 175.1 132.2 119.3 83.3 57.3 33.46 50 417.3 300.6 284.3 193.7 146.0 132.3 93.8 64.1 37.37 100 459.8 330.2 313.9 212.3 159.8 145.3 104.2 70.9 41.28 200 502.2 359.8 343.4 230.7 173.6 158.1 114.6 77.7 45.1

TABEL 4 : Kala Ulang 5 TahunNo t I I.t I2 I2.t log t log I log t.log I log t2 t1/2 I.t1/2 I2.t1/2 a b1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

1 5 271.1 1355.7 73512.8 367564.1 0.7 2.4 1.7 0.5 2.2 606.3 164379.6 8311.091 29.494 TALBOT2 10 198.5 1984.9 39397.0 393970.3 1.0 2.3 2.3 1.0 3.2 627.7 124584.4 2.890 0.560 SHERMAN3 15 182.6 2739.4 33353.7 500305.3 1.2 2.3 2.7 1.4 3.9 707.3 129178.3 574.547 -0.423 ISHIGURO4 30 130.0 3900.7 16905.9 507178.0 1.5 2.1 3.1 2.2 5.5 712.2 92597.6 776.452 ANTILOG5 45 98.6 4437.6 9724.6 437606.9 1.7 2.0 3.3 2.7 6.7 661.5 65234.66 60 87.9 5271.6 7719.2 463154.7 1.8 1.9 3.5 3.2 7.7 680.6 59793.07 120 58.0 6954.7 3358.9 403065.1 2.1 1.8 3.7 4.3 11.0 634.9 36794.68 180 40.8 7351.5 1668.0 300248.8 2.3 1.6 3.6 5.1 13.4 547.9 22379.29 360 23.9 8612.2 572.3 206026.0 2.6 1.4 3.5 6.5 19.0 453.9 10858.5

∑ 1091.5 42608.2 186212.5 3579119.2 14.7 17.8 27.4 26.9 72.5 5632.2 705799.9

ANTILOG 776.452

TABEL 5 : Kala Ulang 5 Tahun

NO t I Intensitas Hujan DeviasiTalbot Sherman Ishiguro TALBOT SHERMAN ISHIGURO

1 2 3 4 5 6 7 8 9

1 5 271.1 240.9 315.4 316.8 -30.2 44.3 45.72 10 198.5 210.4 214.0 209.7 12.0 15.5 11.23 15 182.6 186.8 170.5 166.5 4.2 -12.1 -16.14 30 130.0 139.7 115.7 113.7 9.7 -14.3 -16.45 45 98.6 111.6 92.2 91.4 13.0 -6.4 -7.26 60 87.9 92.9 78.5 78.5 5.0 -9.4 -9.47 120 58.0 55.6 53.2 54.6 -2.4 -4.7 -3.48 180 40.8 39.7 42.4 44.2 -1.2 1.6 3.49 360 23.9 21.3 28.8 31.0 -2.6 4.9 7.0

Jumlah Deviasi 7.4 19.3 14.9deviasi Rata-rata 0.827 2.147 1.653

5 10 15 30 45 60 120 180 3600.0

25.0

50.0

75.0

100.0

125.0

150.0

175.0

200.0

225.0

250.0

275.0

300.0

325.0

350.0

IshiguroShermanTalbotPengukuran

tabel 1

no TahunDuras

5 10 15 30 45 60 120 180 3601 1984 20.0 25.0 30.0 50.0 52.0 53.0 55.0 55.0 55.02 1985 18.0 22.0 32.0 46.0 46.0 47.0 51.0 57.0 67.03 1986 21.0 26.0 28.0 40.0 43.0 44.0 50.0 66.0 87.04 1987 11.0 20.0 25.0 30.0 35.0 38.0 45.0 52.0 73.05 1988 22.0 25.0 38.0 40.0 40.0 44.0 62.0 70.06 1989 21.0 31.0 42.0 62.0 78.0 80.0 89.0 91.0 98.07 1990 11.0 15.0 18.0 28.0 38.0 40.0 41.0 44.0 91.08 1991 27.0 30.0 34.0 43.0 50.0 54.0 72.0 80.0 90.09 1992 17.0 20.0 32.0 43.0 59.0 75.0 107.0 107.0 135.0

10 1993 17.0 25.0 36.0 60.0 72.0 85.0 98.0 102.0 115.011 1994 15.0 24.0 29.0 37.0 50.0 56.0 99.0 114.0 126.012 1995 14.0 28.0 62.0 82.0 82.0 91.0 175.0 185.0 192.013 1996 20.0 40.0 50.0 65.0 70.0 80.0 113.0 120.0 204.014 1997 10.0 10.0 16.0 47.0 69.0 80.0 103.0 131.015 1998 18.0 36.0 54.0 73.0 93.0 93.0 96.0 96.016 1999 15.0 27.0 35.0 47.0 61.0 67.0 79.0 83.0 85.017 2000 15.0 25.0 35.0 55.0 71.0 95.0 149.0 149.0 148.018 2001 31.0 46.0 62.0 72.0 100.0 105.0 123.0 129.019 2002 27.0 32.0 37.0 60.0 88.0 93.0 93.0 96.020 2003 15.0 26.0 36.0 51.0 71.0 81.0 102.0 101.0 117.021 2004 16.0 26.0 30.0 44.0 55.0 80.0 100.0 100.0 108.022 2005 10.0 21.0 31.0 52.0 59.0 59.0 65.0 68.0 81.023 2006 12.0 20.0 31.0 41.0 48.0 50.0 62.0 89.0 130.024 2007 15.0 22.0 32.0 58.0 80.0 85.0 92.0 100.0 103.025 2008 24.0 32.0 43.0 80.0 90.0 98.0 116.0 118.0 151.0

Tabel Reduced variateT (tahun) Yt

2 0.36655 1.4999

10 2.250220 2.960625 3.198550 3.9019

100 4.6001200 5.2960

Tabel Hubungan antara Mean Yn dengan besaranya sampel Ǹ serta Sn

Ǹ Yn Sn 20 0.5236 1.062821 0.5252 1.069622 0.5268 1.075423 0.5283 1.081124 0.5296 1.086425 0.5309 1.091526 0.5320 1.0961

tabel 2

no TahunDuras

5 10 15 30 45 60 120 180 3601 1984 240.0 150.0 120.0 100.0 69.3 53.0 27.5 18.3 9.22 1985 216.0 132.0 128.0 92.0 61.3 47.0 25.5 19.0 11.23 1986 252.0 156.0 112.0 80.0 57.3 44.0 25.0 22.0 14.54 1987 132.0 120.0 100.0 60.0 46.7 38.0 22.5 17.3 12.25 1988 264.0 0.0 100.0 76.0 53.3 40.0 22.0 20.7 11.76 1989 252.0 186.0 168.0 124.0 104.0 80.0 44.5 30.3 16.37 1990 132.0 90.0 72.0 56.0 50.7 40.0 20.5 14.7 15.28 1991 324.0 180.0 136.0 86.0 66.7 54.0 36.0 26.7 15.09 1992 204.0 120.0 128.0 86.0 78.7 75.0 53.5 35.7 22.5

10 1993 204.0 150.0 144.0 120.0 96.0 85.0 49.0 34.0 19.211 1994 180.0 144.0 116.0 74.0 66.7 56.0 49.5 38.0 21.012 1995 168.0 168.0 248.0 164.0 109.3 91.0 87.5 61.7 32.013 1996 240.0 240.0 200.0 130.0 93.3 80.0 56.5 40.0 34.014 1997 120.0 60.0 64.0 94.0 0.0 69.0 40.0 34.3 21.815 1998 216.0 216.0 216.0 146.0 0.0 93.0 46.5 32.0 16.016 1999 180.0 162.0 140.0 94.0 81.3 67.0 39.5 27.7 14.217 2000 180.0 150.0 140.0 110.0 94.7 95.0 74.5 49.7 24.718 2001 372.0 276.0 248.0 144.0 0.0 100.0 52.5 41.0 21.519 2002 324.0 192.0 148.0 120.0 0.0 88.0 46.5 31.0 16.020 2003 180.0 156.0 144.0 102.0 94.7 81.0 51.0 33.7 19.521 2004 192.0 156.0 120.0 88.0 73.3 80.0 50.0 33.3 18.022 2005 120.0 126.0 124.0 104.0 78.7 59.0 32.5 22.7 13.523 2006 144.0 120.0 124.0 82.0 64.0 50.0 31.0 29.7 21.724 2007 180.0 132.0 128.0 116.0 106.7 85.0 46.0 33.3 17.225 2008 288.0 192.0 172.0 160.0 120.0 98.0 58.0 39.3 25.2

n 25 24 25 25 21 25 25 25 25rata-rata 212.2 157.3 141.6 104.3 79.4 69.9 43.5 31.4 18.5

standar deviasi 66.4 46.2 46.2 29.0 21.1 20.2 16.3 10.6 6.1

tabel 3

no Kala Ulang TDuras

5 10 15 30 45 60 120 180 3601 2 202.2 150.3 134.6 100.0 76.2 66.9 41.0 29.8 17.62 5 271.1 198.5 182.6 130.0 98.6 87.9 58.0 40.8 23.93 10 316.8 230.4 214.4 149.9 113.4 101.7 69.1 48.1 28.14 20 360.0 260.6 244.5 168.8 127.5 114.9 79.7 55.0 32.15 25 374.5 270.7 254.6 175.1 132.2 119.3 83.3 57.3 33.46 50 417.3 300.6 284.3 193.7 146.0 132.3 93.8 64.1 37.37 100 459.8 330.2 313.9 212.3 159.8 145.3 104.2 70.9 41.28 200 502.2 359.8 343.4 230.7 173.6 158.1 114.6 77.7 45.1

TABEL 4No t I I.t I2 I2.t log t log I log t.log I log t2 t1/2 I.t1/21 2 3 4 5 6 7 8 9 10 11 12

1 5 202.2 1010.8 40866.5 204332.7 0.7 2.3 1.6 0.5 2.2 452.02 10 150.3 1503.2 22595.6 225956.2 1.0 2.2 2.2 1.0 3.2 475.33 15 134.6 2019.6 18127.6 271914.4 1.2 2.1 2.5 1.4 3.9 521.54 30 100.0 2998.8 9991.9 299755.7 1.5 2.0 3.0 2.2 5.5 547.55 45 76.2 3430.4 5811.2 261503.0 1.7 1.9 3.1 2.7 6.7 511.46 60 66.9 4012.6 4472.5 268347.5 1.8 1.8 3.2 3.2 7.7 518.07 120 41.0 4925.7 1684.9 202187.0 2.1 1.6 3.4 4.3 11.0 449.78 180 29.8 5372.1 890.7 160329.3 2.3 1.5 3.3 5.1 13.4 400.4

HARUN AL RASYID (10.51.12276)

TUGAS 1 (DRAINASE PERKOTAAN)

langkah 1 : Dari data pencatatan hujan otomatis yang menunjukkanjumlah kumulatif hujan terhadap waktu

dicatat kedalaman hujan dengan beberapa durasi. Hasilnya seperti yang diperlihatkan dalam tabel 1 dibawah ini

tabel 1 : Kedalaman Hujan Dengan Beberapa Durasi

No TahunDurasi

5 10 15 30 45 60 120 180 3601 1984 20.0 25.0 30.0 50.0 52.0 53.0 55.0 55.0 55.02 1985 18.0 22.0 32.0 46.0 46.0 47.0 51.0 57.0 67.03 1986 21.0 26.0 28.0 40.0 43.0 44.0 50.0 66.0 87.04 1987 11.0 20.0 25.0 30.0 35.0 38.0 45.0 52.0 73.05 1988 22.0 25.0 38.0 40.0 40.0 44.0 62.0 70.06 1989 21.0 31.0 42.0 62.0 78.0 80.0 89.0 91.0 98.07 1990 11.0 15.0 18.0 28.0 38.0 40.0 41.0 44.0 91.08 1991 27.0 30.0 34.0 43.0 50.0 54.0 72.0 80.0 90.09 1992 17.0 20.0 32.0 43.0 59.0 75.0 107.0 107.0 135.0

10 1993 17.0 25.0 36.0 60.0 72.0 85.0 98.0 102.0 115.011 1994 15.0 24.0 29.0 37.0 50.0 56.0 99.0 114.0 126.012 1995 14.0 28.0 62.0 82.0 82.0 91.0 175.0 185.0 192.013 1996 20.0 40.0 50.0 65.0 70.0 80.0 113.0 120.0 204.014 1997 10.0 10.0 16.0 47.0 69.0 80.0 103.0 131.015 1998 18.0 36.0 54.0 73.0 93.0 93.0 96.0 96.016 1999 15.0 27.0 35.0 47.0 61.0 67.0 79.0 83.0 85.017 2000 15.0 25.0 35.0 55.0 71.0 95.0 149.0 149.0 148.018 2001 31.0 46.0 62.0 72.0 100.0 105.0 123.0 129.019 2002 27.0 32.0 37.0 60.0 88.0 93.0 93.0 96.020 2003 15.0 26.0 36.0 51.0 71.0 81.0 102.0 101.0 117.021 2004 16.0 26.0 30.0 44.0 55.0 80.0 100.0 100.0 108.022 2005 10.0 21.0 31.0 52.0 59.0 59.0 65.0 68.0 81.023 2006 12.0 20.0 31.0 41.0 48.0 50.0 62.0 89.0 130.024 2007 15.0 22.0 32.0 58.0 80.0 85.0 92.0 100.0 103.025 2008 24.0 32.0 43.0 80.0 90.0 98.0 116.0 118.0 151.0

Langkah -2 : Kedalaman hujan yang diperoleh dari langkah-1 dikonversi menjadi intensitas curah hujan yaitu dari perkalian antara tinggi hujan dengan 60 menit dibagi durasi hujan ybs. Hasil perhitungan dapat dilihat pada tabel-2.

MisalBila besarnya curah hujan selama 5 menit = 20 mm, maka intensitasnya adalah 20 dikali dengan 60 di bagi durasi ybs.Hasilnya = (20/5)*60 =240 mm/jam

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Tabel Hubungan antara Mean Yn dengan besaranya sampel Ǹ serta Sn

Ǹ Yn Sn 20 0.5236 1.062821 0.5252 1.069622 0.5268 1.075423 0.5283 1.081124 0.5296 1.086425 0.5309 1.091526 0.5320 1.0961

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tabel 2 : Intensitas Curah HujanNo Tahun Durasi

5 10 15 30 45 60 120 180 360

1 1984 240.0 150.0 120.0 100.0 69.3 53.0 27.5 18.3 9.2

2 1985 216.0 132.0 128.0 92.0 61.3 47.0 25.5 19.0 11.23 1986 252.0 156.0 112.0 80.0 57.3 44.0 25.0 22.0 14.5

4 1987 132.0 120.0 100.0 60.0 46.7 38.0 22.5 17.3 12.25 1988 264.0 100.0 76.0 53.3 40.0 22.0 20.7 11.76 1989 252.0 186.0 168.0 124.0 104.0 80.0 44.5 30.3 16.37 1990 132.0 90.0 72.0 56.0 50.7 40.0 20.5 14.7 15.28 1991 324.0 180.0 136.0 86.0 66.7 54.0 36.0 26.7 15.09 1992 204.0 120.0 128.0 86.0 78.7 75.0 53.5 35.7 22.5

10 1993 204.0 150.0 144.0 120.0 96.0 85.0 49.0 34.0 19.211 1994 180.0 144.0 116.0 74.0 66.7 56.0 49.5 38.0 21.012 1995 168.0 168.0 248.0 164.0 109.3 91.0 87.5 61.7 32.013 1996 240.0 240.0 200.0 130.0 93.3 80.0 56.5 40.0 34.014 1997 120.0 60.0 64.0 94.0 69.0 40.0 34.3 21.815 1998 216.0 216.0 216.0 146.0 93.0 46.5 32.0 16.016 1999 180.0 162.0 140.0 94.0 81.3 67.0 39.5 27.7 14.217 2000 180.0 150.0 140.0 110.0 94.7 95.0 74.5 49.7 24.718 2001 372.0 276.0 248.0 144.0 100.0 52.5 41.0 21.519 2002 324.0 192.0 148.0 120.0 88.0 46.5 31.0 16.020 2003 180.0 156.0 144.0 102.0 94.7 81.0 51.0 33.7 19.521 2004 192.0 156.0 120.0 88.0 73.3 80.0 50.0 33.3 18.022 2005 120.0 126.0 124.0 104.0 78.7 59.0 32.5 22.7 13.523 2006 144.0 120.0 124.0 82.0 64.0 50.0 31.0 29.7 21.724 2007 180.0 132.0 128.0 116.0 106.7 85.0 46.0 33.3 17.225 2008 288.0 192.0 172.0 160.0 120.0 98.0 58.0 39.3 25.2

n 25 24 25 25 21 25 25 25 25rata-rata 212.2 157.3 141.6 104.3 79.4 69.9 43.5 31.4 18.5standar deviasi 66.4 46.2 46.2 29.0 21.1 20.2 16.3 10.6 6.1

Langkah-3 : Data inrtensitas hujanuntuk beberapa durasi hujan tersebut dianalisis dengan menggunakan analisis freku pirhitungan dengan metode Gambel.

Tabel 3 : Gumbel

No Kala Ulang TDurasi

5 10 15 30 45 60 120 180 3601 2 202.2 150.3 134.6 100.0 76.2 66.9 41.0 29.8 17.62 5 271.1 198.5 182.6 130.0 98.6 87.9 58.0 40.8 23.93 10 316.8 230.4 214.4 149.9 113.4 101.7 69.1 48.1 28.14 20 360.0 260.6 244.5 168.8 127.5 114.9 79.7 55.0 32.15 25 374.5 270.7 254.6 175.1 132.2 119.3 83.3 57.3 33.46 50 417.3 300.6 284.3 193.7 146.0 132.3 93.8 64.1 37.37 100 459.8 330.2 313.9 212.3 159.8 145.3 104.2 70.9 41.28 200 502.2 359.8 343.4 230.7 173.6 158.1 114.6 77.7 45.1

LANGKAH 4 :

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TABEL 4 : Kala Ulang 5 TahunNo t I I.t I2 I2.t log t log I log t.log I log t2 t1/2 I.t1/21 2 3 4 5 6 7 8 9 10 11 12

1 5 271.1 1355.7 73512.8 367564.1 0.7 2.4 1.7 0.5 2.2 606.32 10 198.5 1984.9 39397.0 393970.3 1.0 2.3 2.3 1.0 3.2 627.73 15 182.6 2739.4 33353.7 500305.3 1.2 2.3 2.7 1.4 3.9 707.34 30 130.0 3900.7 16905.9 507178.0 1.5 2.1 3.1 2.2 5.5 712.25 45 98.6 4437.6 9724.6 437606.9 1.7 2.0 3.3 2.7 6.7 661.56 60 87.9 5271.6 7719.2 463154.7 1.8 1.9 3.5 3.2 7.7 680.67 120 58.0 6954.7 3358.9 403065.1 2.1 1.8 3.7 4.3 11.0 634.98 180 40.8 7351.5 1668.0 300248.8 2.3 1.6 3.6 5.1 13.4 547.99 360 23.9 8612.2 572.3 206026.0 2.6 1.4 3.5 6.5 19.0 453.9

∑ 1091.5 42608.2 186212.5 ### 14.7 17.8 27.4 26.9 72.5 5632.2

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ANTILOG 776.452

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BUKAN

Tabel Reduced variateT (tahun) Yt

2 0.36655 1.4999

10 2.250220 2.960625 3.198550 3.9019

100 4.6001200 5.2960

Tabel Hubungan antara Mean Yn dengan besaranya sampel Ǹ serta Sn

Ǹ Yn Sn 20 0.5236 1.062821 0.5252 1.069622 0.5268 1.075423 0.5283 1.081124 0.5296 1.086425 0.5309 1.091526 0.5320 1.0961

Tabel Reduced variate

T (tahun) Yt 2 0.36655 1.4999

10 2.250220 2.960625 3.198550 3.9019

100 4.6001200 5.2960

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I2.t1/2 a b13 14 15

164379.6 8311.091 29.494 TALBOT124584.4 2.890 0.560 SHERMAN129178.3 574.547 -0.423 ISHIGURO92597.6 776.452 ANTILOG65234.659793.036794.622379.210858.5

705799.9

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Langkah-4 : Menghitung harga tiap suku untuk setiap metode. Perhitungannya dilakukan secara tabelaris seperti yang diperlihatkan dalam tabel 4

TALBOT

Talbot :a =

b =

SHERMAN

log a =

n =

ISHIGURO

a =

b =

UNTUK SEMUA

[ ] = jumlah angka-angka dalam tiap sukun = banyaknya data

TABEL 4 : Kala Ulang 5 TahunNo t I I.t I2 I2.t log t log Ilog t.log Ilog t2 t1/2 I.t1/2 I2.t1/2 a b1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

1 5 271.1 1355.7 73512.8 367564.1 0.7 2.4 1.7 0.5 2.2 606.3 164379.6 8311.091 29.494 TALBOT

2 10 198.5 1984.9 39397.0 393970.3 1.0 2.3 2.3 1.0 3.2 627.7 124584.4 2.890 0.560 SHERMAN

3 15 182.6 2739.4 33353.7 500305.3 1.2 2.3 2.7 1.4 3.9 707.3 129178.3 574.547 -0.423 ISHIGURO

4 30 130.0 3900.7 16905.9 507178.0 1.5 2.1 3.1 2.2 5.5 712.2 92597.6 776.452 ANTILOG

5 45 98.6 4437.6 9724.6 437606.9 1.7 2.0 3.3 2.7 6.7 661.5 65234.6

6 60 87.9 5271.6 7719.2 463154.7 1.8 1.9 3.5 3.2 7.7 680.6 59793.0

7 120 58.0 6954.7 3358.9 403065.1 2.1 1.8 3.7 4.3 11.0 634.9 36794.6

8 180 40.8 7351.5 1668.0 300248.8 2.3 1.6 3.6 5.1 13.4 547.9 22379.2

9 360 23.9 8612.2 572.3 206026.0 2.6 1.4 3.5 6.5 19.0 453.9 10858.5

∑ 1091.5 42608.2 186212.5 3579119.2 14.7 17.8 27.4 26.9 72.5 5632.2 705799.9

LANGKAH 5 :Menghitung konstanta-konstanta untuk setiap metode intensitas curah hujan

[i.t][I2]-[I2.t][I]

n[I2]-[I][I]

[I][i.t]-n[I2.t][I]n[I2]-[I][I]

[log I][(log t)2]-[log t.log I][log I]n[(log t)2]-[log t][log t]

[log I][(log t)2]-[log t[]log t]n[(log t)2]-[log t][log t]

[I.√t][I2]-[I2.√t][I]n[I2]-[I][I]

[I][I.√t]-n[I2.√t]n[I2]-[I][I]

Untuk metode talbot diperoleh konstanta a dan b masing-masing sebentar 6.124,286 dan 28,715

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Sehingga persamaan internsitas hujan untuk kala ulang 2 tahun adalah :

I = a = 6.124,286t+b t+28,715

Untuk metode Sherman :I

a=

Untuk metode Ishiguro : I a =√t + b

Hasil ploting data pengukuran dan kurva intensitas hujan untuk ketiga jenis metode diperlihatkan dalam gambar 1

LANGKAH 6 :

: melakukan pemeriksaan (dengan menggunakan format tabel 5) untuk mendapatkan rumus yang paling cocok digunakan (dengan melihat nlai deviasi rata-rata terkecil)

TABEL 5 : Kala Ulang 5 Tahun

NO t I Intensitas Hujan DeviasiTalbot Sherman Ishiguro TALBOT SHERMAN ISHIGURO

1 2 3 4 5 6 7 8 9SHERMAN

1 5 271.1 240.9 315.4 316.8 -30.2 44.3 45.72 10 198.5 210.4 214.0 209.7 12.0 15.5 11.23 15 182.6 186.8 170.5 166.5 4.2 -12.1 -16.14 30 130.0 139.7 115.7 113.7 9.7 -14.3 -16.45 45 98.6 111.6 92.2 91.4 13.0 -6.4 -7.26 60 87.9 92.9 78.5 78.5 5.0 -9.4 -9.47 120 58.0 55.6 53.2 54.6 -2.4 -4.7 -3.48 180 40.8 39.7 42.4 44.2 -1.2 1.6 3.49 360 23.9 21.3 28.8 31.0 -2.6 4.9 7.0

Jumlah Deviasi 7.4 19.3 14.9deviasi Rata-rata 0.827 2.147 1.653

tn

5 10 15 30 45 60 120 180 3600.0

25.0

50.0

75.0

100.0

125.0

150.0

175.0

200.0

225.0

250.0

275.0

300.0

325.0

350.0

IshiguroShermanTalbotPengukuran

Durasi Hujan (menit)

Intensitas Hujan (

mm/jam)

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: melakukan pemeriksaan (dengan menggunakan format tabel 5) untuk mendapatkan rumus yang paling cocok digunakan