Perhitungan Drainase (Final1)

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


2/67

Analisa Distribusi Lo' Normal


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 =


3/67

Analisa Distribusi Lo' Normal

33.44

42!.!%

4%$.""

#4%.!

&T

(mm)LogXSK+


4/67

Analisa Distribusi Lo' Parson T*+ III


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


5/67


6/67

Analisa Distribusi Gumbl


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


7/67

Analisa Distribusi Gumbl

$2"$0

'$!'!

!0$'#

!#%#%

XT mm.


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

=


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 =


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


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


29/67

$2

KurBa Turun 3 $3

$4

$#

$"

$

$!

$%

2

st

t8)TpDT0,$D1,!T0,$. berarti t=(*6;//


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


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!.


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)


33/67

#.!3!

22.3%4%!2

$!.4"!%

$#.23!!

$2.#"#3"

$.3#!432

!.#423%!"

.44#$$

#.!%"2


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


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


36/67

raf Nakayasu Sungai Deli


37/67


38/67

NAKA>AS8-


+anan' sun'ai 0


Luas Das 24

8uan satuan $

5 +a/ 9.A.;o (3@"(@3 T+T@





39/67

$2

KurBa Turun 3 $3

$4

$#

$"

$

$!

$%

2

st



40/67

2% /m $# /m ma/a t' @4 @#!L

t' 2.!2 am


T+ t' @!tr 3.33$2 am


/m2

mm

3)) .42%$4#4"" m3t

"@"%(tE!)2@4


'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


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!.


42/67


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)


43/67

#"."!!

24."#4#2!

2.332$$3

$"."#$

$3.!2!34

$$.43#4!

%.442!#!

.###32%

".3%#!3!2


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


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


46/67



47/67


48/67

NAKA>AS8-


+anan' sun'ai 0


Luas Das 24

8uan satuan $

5 +a/ 9.A.;o (3@"(@3 T+T@





49/67

$2

KurBa Turun 3 $3

$4

$#

$"

$

$!

$%

2

st



50/67

2% /m $# /m ma/a t' @4 @#!L

t' 2.!2 am


T+ t' @!tr 3.33$2 am


/m2

mm

3)) .42%$4#4"" m3t

"@"%(tE!)2@4


'!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


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!.


52/67


an

32.$2!%4

$"%.44%

44!.3"!"

43#."%!"$

3$%.2%$%

233.!"4""

$$.!$%2

$3%."!%!

$$3.#$"3

%2.2#3"#

4.%3%4

Total(m3t)


53/67

".%3"2#

2".!2222

22.$$%"3

$!.24$"$

$#.43#3

$2.4"!"

$.23$"

!.433##

".%#!$2#!


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


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


56/67



57/67


58/67

NAKA>AS8-


+anan' sun'ai 0


Luas Das 24

8uan satuan $

5 +a/ 9.A.;o (3@"(@3 T+T@





59/67

$2

KurBa Turun 3 $3

$4

$#

$"

$

$!

$%

2

st



60/67

2% /m $# /m ma/a t' @4 @#!L

t' 2.!2 am


T+ t' @!tr 3.33$2 am


/m2

mm

3)) .42%$4#4"" m3t

"@"%(tE!)2@4


'&"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


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!.


62/67


an

3#.4"$"$%

$!.$"##

4%#.2!"

4!$.2!33

3#2.""#

2#!.3324"

$!%.!#3!

$#4.2%22

$2#.3%2#

$$.%##2

!2.!$!33

Total(m3t)


63/67

".3#4$#

2%."2!242

24.433!3%

2.$#$$#

$"."$4$$

$3.4#!

$$.3$42

%.32$#4

."!"$$%


64/67

.2"22#$43 2.#$%4!$

$.3!42%"4!%! $4#.24!"%

3.""3%4"4! 3!4.3#3!

4.#!"!!#3"% 4!$.2!33

3.3"#2$2223 3#2.""#

2.4"2442#4 2#!.3324"

$.!%4""2"# $!%.!#3!

$.44%!23$ $#4.2%22

$.$%##"#"$2 $2#.3%2#

.%$2$32#!! $$.%##2

.!%2%#3$! !2.!$!33

Kurva Hidro


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


66/67



67/67

Perhitungan Drainase (Final1)

Documents

Transcript of Perhitungan Drainase (Final1)