7/24/2019 Perhitungan Drainase (Final1)
1/67
Analisa Distribusi Normal (Gauss)
Curah Hujan Rencana dengan Periode Ulang Tertentu
T S
2 344.4 . !"." 344.4
# 344.4 .!4 !"." 4$"."%$ 344.4 $.2! !"." 4#4.#"
2 344.4 $."4 !"." 4!#.#4
Nilai Variabel Reduksi Gauss
dari tabel Reduksi Gauss, diperoleh KTuntuk masing-masing periode ulang
KT
&T
(mm)
XTT SKXX +=
X
7/24/2019 Perhitungan Drainase (Final1)
2/67
Analisa Distribusi Lo' Normal
Curah Hujan Rencana dengan Periode Ulang Tertentu
T
2 2.#2 . .$3# 2.#$%
# 2.#2 .!4 .$3# 2."32
$ 2.#2 $.2! .$3# 2."%2
2 2.#2 $."4 .$3# 2.4
Nilai K untuk distribusi Normal
dari tabel distribusi Normal , diperoleh K untuk masing-masing periodeulang
KT
SLo'&
TLogX
T 10X =
LogXT SKLogXLogX +=
XLog T LogXLogX =
7/24/2019 Perhitungan Drainase (Final1)
3/67
Analisa Distribusi Lo' Normal
33.44
42!.!%
4%$.""
#4%.!
&T
(mm)LogXSK+
7/24/2019 Perhitungan Drainase (Final1)
4/67
Analisa Distribusi Lo' Parson T*+ III
Curah Hujan Rencana dengan Periode Ulang Tertentu
T K S
2 2!2 02"# 01$ 2!!#
! 2!2 0%0$ 01$ 2#2"
10 2!2 0&!# 01$ 2#'%
20 2!2 1021 01$ 2#!"
Nilai K untuk distribusi Log Pearson III
dari tabel K dengan Koe(isien G ) -1"!'2' untuk distribusi Log *earson +++,dengan ara interpolasidiperoleh K
Tuntuk masing-masing periode ulang
SKXXTT
+= LogLog
XLog SKXXTT
+= LogLog
7/24/2019 Perhitungan Drainase (Final1)
5/67
7/24/2019 Perhitungan Drainase (Final1)
6/67
Analisa Distribusi Gumbl
Curah Hujan Rencana dengan Periode Ulang Tertentu
T /t /n S Sn
2 $'''0 0$0#! 0'&!2 %#0# 0&'&"
! $'''0 1'&&& 0'&!2 %#0# 0&'&"
10 $'''0 22!0' 0'&!2 %#0# 0&'&"
20 $'''0 2&"02 0'&!2 %#0# 0&'&"
Reduksi Variat !TR" sebagai #ungsi Periode Ulang Gumbel
T SSn
/n/XX
+=
X
7/24/2019 Perhitungan Drainase (Final1)
7/67
Analisa Distribusi Gumbl
$2"$0
'$!'!
!0$'#
!#%#%
XT mm.
7/24/2019 Perhitungan Drainase (Final1)
8/67
Pengukuran $is%ersi
Coe#isien &ke'ness Cs"
Cs ( )*+,-.*
Coe#isien Kurtosis Ck"
Ck ( ,+-*/,
Coe#isien Variasi C0"
C0 ( 1+1232
( )
( )( ) ( )( ) 'log1
'
i
2
$21
XLogXLog
X
N
i
SNNN
N
=
XLog
S
XLog=
( )
( )( )( )$log1
$
i
21
XLogXLog
X
N
i
SNN
N
=
7/24/2019 Perhitungan Drainase (Final1)
9/67
Pengukuran $is%ersi
4enis &ebaranS3arat
s k
Coe#isien &ke'ness Cs" Normal Gauss" 0 $
Log Normal 0"#$ $
Log Pearson III , $%"$
Cs ( )*+3325 Gumbel 4 11$ 4!'002
Coe#isien Kurtosis Ck"
Ck ( 5+632*
Coe#isien Variasi C0"
C0 ( 1+6-..
( ) ( )
( )
= $i$
XX
S2N1N
Ns
( )( )( )( )
=
'
i'
2
XXS$N2N1N
Nk
X
S =
7/24/2019 Perhitungan Drainase (Final1)
10/67
Pemilihan 4enis &ebaran
5asil *erhitungan *erbandingan
s k s k
-1$$!# #2$!1 Tidak 6emenuhi Tidak 6emenuhi
-0#0&$ 2!!%1 Tidak 6emenuhi Tidak 6emenuhi
-0#0&$ 2!!%1 6emenuhi Tidak 6emenuhi
-1$$!# #2$!1 6emenuhi Tidak 6emenuhi
7/24/2019 Perhitungan Drainase (Final1)
11/67
-i Kbnaran Sbaran
Uji &ebaran &mirno0 Kolmog
No Tahun m
1 200" 4# 1 00&0& 0&0&1
2 200% 43# 2 01%1% 0%1%2
$ 2010 4$4 $ 02"2" 0"2"$
' 2012 3"4 ' 0$#$# 0#$#'
! 2011 3"$ ! 0'!'! 0!'!!
# 200! 3#3 # 0!'!! 0'!'!
" 200# 3#2 " 0#$#' 0$#$#
% 200& 32 % 0"2"$ 02"2"
& 200$ 23" & 0%1%2 01%1%
10 200' $#2 10 0&0&1 00&0&
7ma ) 10202
7ari tabel kritis Smirno-Kolmogoro didapat 7r 0,0!. ) 0,'1
7ma 8 7r tidak memenuhi s3arat.
Tabel Nilai $elta Kritis Untuk Uji Keselarasan &mirno0 ) Kolm
urah 5u9an 6amm. X
i
.*-XAS8-
mn':itun' +aramtr *an' i+rlu/an 0
+anan' sun'ai 0
9 ( /o?sin aliran ) .32"
Luas Das 24
8uan satuan $
5 +a/ 9.A.;o (3@"(@3 T+T@
mn':itun' /orinat /urBa nai/ an /urBa turun :iro'raCa. KurBa nai/
04)t4Tp bearti 04)t4$1
rumus kura naik ?n ) ?peak@t
7/24/2019 Perhitungan Drainase (Final1)
29/67
$2
KurBa Turun 3 $3
$4
$#
$"
$
$!
$%
2
st
t8)TpDT0,$D1,!T0,$. berarti t=(*6;//
7/24/2019 Perhitungan Drainase (Final1)
30/67
2% /m $# /m ma/a t' @4 @#!L
t' 2.!2 am
tr iambil @# t' $.#"$# am
T+ t' @!tr 3.33$2 am
T@3 Ft' 4.$"4 am asumsi sun'ai aala:
/m2
mm
3)) .42%$4#4"" m3t
"@"%(tE!)2@4
Kt +rs - -(t@T)(m3tmm)a/ibat :u
$"!% 2$#" 1%0#
"@"%(tE!)2@4
.33%"!!! $2."%%$43 !.3% ".$##$%
$.!3!#2$$ ".2"4!$ 42.2244#3 32.222"#
4.22"##$ $.3"3%% $$$.334$ !#.2""!!$
4.#!"!!#3"% $2.3#24 $!.#"# !2.!#4$
3.3"#2$2223 $2".2$#! %.#4"!%! ".44##
2.4"2442#4 %2.#$$3$3 #!.2%# 44.443"
$.!%4""2"# ".%!!4#4 42.!34"4 32."!#$2$
$.44%!23$ ##.2#3"%3 34.!%!! 2".#"2%4"
$.$%##"#"$2 44.%42# 2!.2!!$!4 2$.#!#2
.%$2$32#!! 3".4%333! 22.%!%#!% $.#43%%"
.!%2%#3$! 2%."#!## $!."!34"2 $4.2#!$
"@"%@3H(t3@$)3@!J
"@"%@3H(t3@$@#3@!)
($@#3@!)J
7/24/2019 Perhitungan Drainase (Final1)
31/67
."4$4#"223 24.$2$ $#.$!3%" $$.#!2"2
.2!2323# $."$$#" "."!44#$ #.$!$$
.232!"343 !.4%%%4 #.#$222% 4.2"#$#
.$%24$22 .2$#%4!$ 4.#4#!3 3.4"%322
.$#!32""!! #.%#!#3 3.4!!3%4 2.!"!43%
.$3""!!$2 4.%##3" 3.%$#%## 2.3#%2!2
.$!%24 4.4$"4" 2.#4%#%$ $.%4#"#4%
.!!!2##%3 3.33"$!# 2.$2#!!" $."4#44
.32#2"!2 2.#24"%# $.33%"42 $.32323"4
$"#
#,0#&@0,$ABt-
%,&0!.
7/24/2019 Perhitungan Drainase (Final1)
32/67
ara: +n'airan biasa F 2
an
2".!4233
$4$.43#%
34.3"42!
3"3.!##
2"".#22%4
$%#.2"43
$43.#44
$$"."24"3
%4.%%3"
.2"%24
"2.#%%$!
Total(m3t)
7/24/2019 Perhitungan Drainase (Final1)
33/67
#.!3!
22.3%4%!2
$!.4"!%
$#.23!!
$2.#"#3"
$.3#!432
!.#423%!"
.44#$$
#.!%"2
7/24/2019 Perhitungan Drainase (Final1)
34/67
.2"22#$43 2.!$4$
$.3!42%"4!%! $%.!!##
3.""3%4"4! 2%.#24
4.#!"!!#3"% 3"3.!##
3.3"#2$2223 2"".#22%4
2.4"2442#4 $%#.2"43
$.!%4""2"# $43.#44
$.44%!23$ $$"."24"3
$.$%##"#"$2 %4.%%3"
.%$2$32#!! .2"%24
.!%2%#3$! "2.#%%$!
Kurva Hidro
7/24/2019 Perhitungan Drainase (Final1)
35/67
."4$4#"223 #.!3!
.3"3223"2 2!.%$33
.3#2$%#33$ 24.2"%"$
.2#""24##4 2.3#2#"!
.2$##%"4#$ $.$$$!%
.$!$44%"3% $4.3!22!
.$#2#24"2! $2.%"3%!
.$2!23#$43# $.$32%
.$!$""%3 !.##%42
7/24/2019 Perhitungan Drainase (Final1)
36/67
raf Nakayasu Sungai Deli
7/24/2019 Perhitungan Drainase (Final1)
37/67
7/24/2019 Perhitungan Drainase (Final1)
38/67
NAKA>AS8-
mn':itun' +aramtr *an' i+rlu/an 0
+anan' sun'ai 0
9 ( /o?sin aliran ) .32"
Luas Das 24
8uan satuan $
5 +a/ 9.A.;o (3@"(@3 T+T@
mn':itun' /orinat /urBa nai/ an /urBa turun :iro'raCa. KurBa nai/
04)t4Tp bearti 04)t4$1
rumus kura naik ?n ) ?peak@t
7/24/2019 Perhitungan Drainase (Final1)
39/67
$2
KurBa Turun 3 $3
$4
$#
$"
$
$!
$%
2
st
t8)TpDT0,$D1,!T0,$. berarti t=(*6;//
7/24/2019 Perhitungan Drainase (Final1)
40/67
2% /m $# /m ma/a t' @4 @#!L
t' 2.!2 am
tr iambil @# t' $.#"$# am
T+ t' @!tr 3.33$2 am
T@3 Ft' 4.$"4 am asumsi sun'ai aala:
/m2
mm
3)) .42%$4#4"" m3t
"@"%(tE!)2@4
Kt +rs - -(t@T)(m3tmm)a/ibat :u
'1$" 2#0# 1&%&
"@"%(tE!)2@4
.33%"!!! $3.%!3! !.!$#2 ".2$$"4
$.!3!#2$$ 3.!!!!" 4".4!4$! 3#.44#34
4.22"##$ $%#.2#!#$ $23.#4$ %3.!$%2#
4.#!"!!#3"% $!%.4% $$%.#2%#2 %$.2$%2%3
3.3"#2$2223 $3%.$$32 !.#$!23 "".!3"!"
2.4"2442#4 $$.!44%2 "4.$#!4$$ 4!.%"2"4
$.!%4""2"# 4.!4%$# 4.$#$32 3#.%!3"
$.44%!23$ ".!2!323 3!.3$%#2 2%.243"#$
$.$%##"#"$2 4%.434$ 3$.$4$%% 23.""%
.%$2$32#!! 4.$#2! 2#.3!!4" $%.3$4#$!
.!%2%#3$! 32."#!2 2.#"!34 $#."%""
"@"%@3H(t3@$)3@!J
"@"%@3H(t3@$@#3@!)
($@#3@!)J
7/24/2019 Perhitungan Drainase (Final1)
41/67
."4$4#"223 2".#344 $".$#2 $2.#""3"
.2!2323# $$."!"3$ .3#!3#$2 #."$##4""
.232!"343 %."32%# "."!2%$ 4."3$32!
.$%24$22 .%43%"3 #.44$" 3.!$%$233
.$#!32""!! ".##$243! 4.$2334 3.$4%##3
.$3""!!$2 #.42"!42 3.434!4 2.#%3%
.$!%24 4.4##4!%4 2.!"!!$ 2.$42!3
.!!!2##%3 3."43#" 2.3$43% $.""42%
.32#2"!2 3.3$4 $.%!!%$" $.4#""$
#,0#&@0,$ABt-
%,&0!.
7/24/2019 Perhitungan Drainase (Final1)
42/67
ara: +n'airan biasa F 2
an
2%.#!"#2
$##.4"
4$2.$3#!4
4.4!%$
2%3.4$3!3
2$4.%""$
$#.%!2%$
$2!.3%$4%
$4.342!
!4.%!#2
"!.%$#$4"
Total(m3t)
7/24/2019 Perhitungan Drainase (Final1)
43/67
#"."!!
24."#4#2!
2.332$$3
$"."#$
$3.!2!34
$$.43#4!
%.442!#!
.###32%
".3%#!3!2
7/24/2019 Perhitungan Drainase (Final1)
44/67
.2"22#$43 22.!%%"
$.3!42%"4!%! $2.!"#
3.""3%4"4! 3$%.!32$2
4.#!"!!#3"% 4.4!%$
3.3"#2$2223 2%3.4$3!3
2.4"2442#4 2$4.%""$
$.!%4""2"# $#.%!2%$
$.44%!23$ $2!.3%$4%
$.$%##"#"$2 $4.342!
.%$2$32#!! !4.%!#2
.!%2%#3$! "!.%$#$4"
Kurva Hidro
7/24/2019 Perhitungan Drainase (Final1)
45/67
."4$4#"223 #"."!!
.3"3223"2 3$."%"2!
.3#2$%#33$ 2"."4%32!
.2#""24##4 22.4"4#
.2$##%"4#$ $!.!3!4"
.$!$44%"3% $#.!3!!3
.$#2#24"2! $3.3$"!"
.$2!23#$43# $$.$%"4"
.$!$""%3 %.4$3"%$2
7/24/2019 Perhitungan Drainase (Final1)
46/67
raf Nakayasu Sungai Deli
7/24/2019 Perhitungan Drainase (Final1)
47/67
7/24/2019 Perhitungan Drainase (Final1)
48/67
NAKA>AS8-
mn':itun' +aramtr *an' i+rlu/an 0
+anan' sun'ai 0
9 ( /o?sin aliran ) .32"
Luas Das 24
8uan satuan $
5 +a/ 9.A.;o (3@"(@3 T+T@
mn':itun' /orinat /urBa nai/ an /urBa turun :iro'raCa. KurBa nai/
04)t4Tp bearti 04)t4$1
rumus kura naik ?n ) ?peak@t
7/24/2019 Perhitungan Drainase (Final1)
49/67
$2
KurBa Turun 3 $3
$4
$#
$"
$
$!
$%
2
st
t8)TpDT0,$D1,!T0,$. berarti t=(*6;//
7/24/2019 Perhitungan Drainase (Final1)
50/67
2% /m $# /m ma/a t' @4 @#!L
t' 2.!2 am
tr iambil @# t' $.#"$# am
T+ t' @!tr 3.33$2 am
T@3 Ft' 4.$"4 am asumsi sun'ai aala:
/m2
mm
3)) .42%$4#4"" m3t
"@"%(tE!)2@4
Kt +rs - -(t@T)(m3tmm)a/ibat :u
'!00 2%$! 21#'
"@"%(tE!)2@4
.33%"!!! $#.2%#"% %.#!$3!%" .3$$%3#3
$.!3!#2$$ !.2"#!" #.#!! 3!.#%2"2"
4.22"##$ 2$2.42"$2 $33.!$%#3 $2.$22%#
4.#!"!!#3"% 2".4233! $3.3!" %%.23$"
3.3"#2$2223 $#$.233#4 %#.2 2.4!
2.4"2442#4 $$.%%3! "%.%!%## #3.2""32!
$.!%4""2"# !$.42!2" #$.2%""! 3%.$4"#$2
$.44%!23$ "".$"4%% 4$."!!4$# 3$.!$4"%
$.$%##"#"$2 #3.!$$3 33.!%!#4 2#.!##4%
.%$2$32#!! 43.#$ 2.#33!%" 2$.$2$%%
.!%2%#3$! 3#.#2# 22.3"#!# $."4#2
"@"%@3H(t3@$)3@!J
"@"%@3H(t3@$@#3@!)
($@#3@!)J
7/24/2019 Perhitungan Drainase (Final1)
51/67
."4$4#"223 2!.!"44# $!.$!#2! $3.!%$
.2!2323# $2."2 !.#2"$ ".$%$342
.232!"343 $.4%2% "."$!%2 #.3!!#
.$%24$22 !."4243$ #.4443"! 4.$#4!$$4
.$#!32""!! .$224#2 4.4!%!"#2 3.42"3%2
.$3""!!$2 #.!$# 3.2#$ 2.!2#"%%
.$!%24 4.!422"% 3.#3#4%4 2.332!3"
.!!!2##%3 3.%%4$44 2.#$!232 $.%2$3%%
.32#2"!2 3.2%"#%4 2."$3# $.#!4!2$!
#,0#&@0,$ABt-
%,&0!.
7/24/2019 Perhitungan Drainase (Final1)
52/67
ara: +n'airan biasa F 2
an
32.$2!%4
$"%.44%
44!.3"!"
43#."%!"$
3$%.2%$%
233.!"4""
$$.!$%2
$3%."!%!
$$3.#$"3
%2.2#3"#
4.%3%4
Total(m3t)
7/24/2019 Perhitungan Drainase (Final1)
53/67
".%3"2#
2".!2222
22.$$%"3
$!.24$"$
$#.43#3
$2.4"!"
$.23$"
!.433##
".%#!$2#!
7/24/2019 Perhitungan Drainase (Final1)
54/67
.2"22#$43 24.%$2%%$
$.3!42%"4!%! $3$.4%$##
3.""3%4"4! 34.%#3
4.#!"!!#3"% 43#."%!"$
3.3"#2$2223 3$%.2%$%
2.4"2442#4 233.!"4""
$.!%4""2"# $$.!$%2
$.44%!23$ $3%."!%!
$.$%##"#"$2 $$3.#$"3
.%$2$32#!! %2.2#3"#
.!%2%#3$! 4.%3%4
Kurva Hidro
7/24/2019 Perhitungan Drainase (Final1)
55/67
."4$4#"223 ".%3"2#
.3"3223"2 34.4!2"!
.3#2$%#33$ 2!.%%2$%3
.2#""24##4 24.3#!"4
.2$##%"4#$ 2.4%4#
.$!$44%"3% $.23$2%#
.$#2#24"2! $4.4!"$4
.$2!23#$43# $2.$!!
.$!$""%3 $.24$2%2
7/24/2019 Perhitungan Drainase (Final1)
56/67
raf Nakayasu Sungai Deli
7/24/2019 Perhitungan Drainase (Final1)
57/67
7/24/2019 Perhitungan Drainase (Final1)
58/67
NAKA>AS8-
mn':itun' +aramtr *an' i+rlu/an 0
+anan' sun'ai 0
9 ( /o?sin aliran ) .32"
Luas Das 24
8uan satuan $
5 +a/ 9.A.;o (3@"(@3 T+T@
mn':itun' /orinat /urBa nai/ an /urBa turun :iro'raCa. KurBa nai/
04)t4Tp bearti 04)t4$1
rumus kura naik ?n ) ?peak@t
7/24/2019 Perhitungan Drainase (Final1)
59/67
$2
KurBa Turun 3 $3
$4
$#
$"
$
$!
$%
2
st
t8)TpDT0,$D1,!T0,$. berarti t=(*6;//
7/24/2019 Perhitungan Drainase (Final1)
60/67
2% /m $# /m ma/a t' @4 @#!L
t' 2.!2 am
tr iambil @# t' $.#"$# am
T+ t' @!tr 3.33$2 am
T@3 Ft' 4.$"4 am asumsi sun'ai aala:
/m2
mm
3)) .42%$4#4"" m3t
"@"%(tE!)2@4
Kt +rs - -(t@T)(m3tmm)a/ibat :u
'&"1 $1$2 2$&0
"@"%(tE!)2@4
.33%"!!! $".!22 $.#!3!2 !.%4"
$.!3!#2$$ !!."44$ ##.!"$"44 42."3$$"$
4.22"##$ 234."4%$3 $4.!$%!4 $$2.!%"3
4.#!"!!#3"% 22!.$!42 $43."42# $%."2$!"
3.3"#2$2223 $".#4! $#.23!! !.3$3%
2.4"2442#4 $22.3%"! .$$3! #!.!43%"
$.!%4""2"# !%.%44$3 #".""33! 43.243%
$.44%!23$ 3.%%#"% 4".4%!%$ 3#.$432"
$.$%##"#"$2 #%.44# 3.4243%$ 2!.#""#
.%$2$32#!! 4!.2%%!2 3.4$4#$4 23.2$$2"
.!%2%#3$! 3%.23" 24.$"42 $!.!"3422
"@"%@3H(t3@$)3@!J
"@"%@3H(t3@$@#3@!)
($@#3@!)J
7/24/2019 Perhitungan Drainase (Final1)
61/67
."4$4#"223 3$.!!42 2.!!3 $#.33$#
.2!2323# $4.33$ !.!42!4" ".4!42"$
.232!"343 $$.#""! .2%243 #.#"#2%""
.$%24$22 %.#4"#"$ ".$3%"22 4.#!%#%2"
.$#!32""!! .!2!"3 4.%#%#%!# 3.!4%4!4
.$3""!!$2 ".4%2#%! 4.%!#$ 3.$2$33%
.$!%24 #.3#432 3.33$42 2.#4$3"
.!!!2##%3 4.4$#"4% 2.!$"#%" 2.$22!4!
.32#2"!2 3."4$4"4$ 2.2%3%!$ $.#""#!
#,0#&@0,$ABt-
%,&0!.
7/24/2019 Perhitungan Drainase (Final1)
62/67
ara: +n'airan biasa F 2
an
3#.4"$"$%
$!.$"##
4%#.2!"
4!$.2!33
3#2.""#
2#!.3324"
$!%.!#3!
$#4.2%22
$2#.3%2#
$$.%##2
!2.!$!33
Total(m3t)
7/24/2019 Perhitungan Drainase (Final1)
63/67
".3#4$#
2%."2!242
24.433!3%
2.$#$$#
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7/24/2019 Perhitungan Drainase (Final1)
64/67
.2"22#$43 2.#$%4!$
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3.""3%4"4! 3!4.3#3!
4.#!"!!#3"% 4!$.2!33
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.!%2%#3$! !2.!$!33
Kurva Hidro
7/24/2019 Perhitungan Drainase (Final1)
65/67
."4$4#"223 ".3#4$#
.3"3223"2 3!.%4!4
.3#2$%#33$ 32.2#4"#
.2#""24##4 2".%2"$#!
.2$##%"4#$ 22."3!%
.$!$44%"3% $%.34%
.$#2#24"2! $".33"2
.$2!23#$43# $3.4##2$
.$!$""%3 $$.3$24
7/24/2019 Perhitungan Drainase (Final1)
66/67
raf Nakayasu Sungai Deli
7/24/2019 Perhitungan Drainase (Final1)
67/67