Perhitungan Perencanaan Gawe Print

8/19/2019 Perhitungan Perencanaan Gawe Print

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PERHITUNGAN PERENCANAAN

Kriteria Debit Banjir Rancangan untuk Perencanaan

Perhitungan Hujan Jam-Jaman engan !"n"n"be

Langkah-langkah perhitungan :

Sebaran hujan jam-jaman dipakai model Mononobe, dengan rumus :

dengan :

R t = Intensitas hujan rata-rata dalam T jam

R 24 = urah hujan e!ekti! dalam satu hari "mm#hari$

t = %aktu mulai hujan

T = %aktu konsentrasi hujan "jam$

&ntuk daerah di indonesia rata-rata t = ' jam, maka :

T = ( jam R ( = R 24#')"'#($2#* = +,+*)R 24

T = 2 jam R 2 = R 24#')"'#2$2#* = +,*4')R 24

T = * jam R * = R 24#')"'#*$2#* = +,2'4')R 24

T = 4 jam R 4 = R 24#')"'#4$2#* = +,2(.4)R 24

T = jam R = R 24#')"'#$2#* = +,(..2)R 24

T = ' jam R ' = R 24#')"'#'$2#* = +,('')R 24

Rumus Rasio urah /ujan jam-jaman :

Rumus Rt = "t 0 Rt$ - ""t-($"Rt-($$

dengan Rt = prosentase intensitas

( jam R( = "( 0 +)+*R24$ - ""(-($ 0 R+$

= +)+*R24 1 +

= +)+* 0 (++ = ,+*2(

2 jam R2 = "2 0 +)*4'R24$ - ""2-($ 0 +)+*R24$

= +)'3*4R24 - +)+*R24

= +)(4*+ 0 (++ = (4,*+4


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* jam R* = "* 0 +)2'4'R24$ - ""*-($ 0 +)*4'R24$

= +,3*R24 - +)'3*4R24

= +)(++*0 (++ = (+,+**3

4 jam R4 = "4 0 +)2(.4R24$ - ""4-($ 0 +)2'4'R24$

= +).*'R24 - +)3*R24

= +)+33 0 (++ = ,3..

jam R = " 0 +)(..2R24$ - ""-($ 0 +)2(.4R24$

= +)34(R24 - +).*'R24

= +)+' 0 (++ = ',4'

' jam R' = "' 0 +)(''R24$ - ""'-($ 0 +)(..2R24$

= R24 - +)34(R24

= +)+3 0 (++ = ,.3'4

Curah Hujan E#ekti#

Untuk Tr $% tahun

engan : )/ ran5angan 2 tahun " R 2 $ = ((,+ mm#hari

6oe!isien 7engaliran "5$ = +,.+

Maka : - )/ e!ekti! = 5 ) R 2

= +,.+ 0 ((,+

= 3*,'4 mm#hari

Untuk Tr %& tahun

engan : )/ ran5angan + tahun " R + $ = (*2,4. mm#hari


Maka : )/ e!ekti! = 5 ) R +

= +,.+ ) (*2,4.= (+,3.4 mm#hari

Untuk Tr $&& tahun

engan : )/ ran5angan 2++ tahun " R 2++ $ = (4*,. mm#hari


Maka : )/ e!ekti! = 5 ) R 2++

= +,.+ ) (4*,.

= ((,+.+ mm#hari

Untuk Tr '&&& tahun


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79

engan : )/ ran5angan (+++ tahun " R (+++ $ = 2*,3 mm#hari

6oe!isien 7engaliran "k$ = +,.+

Maka : )/ e!ekti! = 5 ) R (+++

= +,.+ ) 2*,3

= (..,' mm#hari

Untuk Tr P!( tahun

engan : )/ ran5angan 7M8 tahun " R 7M8 $ = 4+',( mm#hari


Maka : )/ e!ekti! = 5 ) R 7M8

= +,.+ ) 4+',(

= *24,32+ mm#hari

Rumu) Curah Hujan Jam-Jaman !"n"n"be *

Rumus = Rasio959"R24$

ontoh perhitungan dengan rasio 5urah hujan jam - jaman ,+*2

Untuk Tr $% tahun

Rasio959"R 2$ = ,+*2 0 +,.+ 0 ((,+

= (,*2 mm#hari

Untuk Tr %& tahun

Rasio959"R +$ = ,+*2 0 +,.+ 0 (*2,4.

= .,*2 mm#hari

Untuk Tr $&& tahun

Rasio959"R 2++$ = ,+*2 0 +,.+ 0 (4*,.

= '*,**( mm#hari

Untuk Tr '&&& tahunRasio959"R (+++$ = ,+*2 0 +,.+ 0 2*,3

= (+*,.. mm#hari

Untuk P!( Tahun

Rasio959"R 7M8$ = ,+*2 0 +,.+ 0 4+',(

= (., mm#hari

&ntuk perhitungan selanjutna dapat dilihat pada tabel berikut)

Tabe+ ,. Curah Hujan Nett" Jam-Jaman Tr $% Tahun

Jam Ra)i" / CHnett" jam-jaman0mm1hari2


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80

' )+* (,*2

$ (4)*+ (*,*34

, (+)+* 3,*3'

3 )33 ,4.+

% ') ',*(

. )3+ ,2(

Sumber : Hasil perhitungan

Tabe+ ,4 Curah Hujan Nett" Jam-Jaman Tr %& Tahun

Jam Ra)i" /

CHnett" jam-jaman

0mm1hari2

' )+*2( .,*2

$ (4)*+4+ (,('+

, (+)+**3 (+,'*4

3 )3..+ .,4''

% ')4' ,(43

. ).3'4 ',243


Tabe+ ,5 Curah Hujan Nett" Jam-Jaman Tr $&& Tahun

Jam Ra)i" /CHnett" jam-jaman

0mm1hari2

' )+*2( '*,**(

$ (4)*+4+ (',4'(

, (+)+**3 ((,4

3 )3..+ 3,(3*

% ')4' ,'*


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81

. ).3'4 ',.'


Tabe+ ,6 Curah Hujan Nett" Jam-Jaman Tr '&&& Tahun

Jam Ra)i" /CHe#ekti# jam-jaman

0mm1hari2

' )+*2( (+*,..

$ (4)*+4+ 2,++*

, (+)+**3 (.,342

3 )3..+ (,+3

% ')4' (2,*4

. ).3'4 ((,(*(


Tabe+ ,'& Curah Hujan Nett" Jam-Jaman Tr P!( Tahun

Jam Ra)i" /CHe#ekti# jam-jaman

0mm1hari2

' )+*2( (.,.(+

$ (4)*+4+ 4',4

, (+)+**3 *2,'+2

3 )3..+ 2,3

% ')4' 2(,3(.

. ).3'4 (3,(3


Perhitungan Hir"gra# Banjir Rancangan engan H77 Naka8a)u

ata :

Luas ;S ";$ = (++ km2

7anjang Sungai &tama "L$ = (,'* km

7arameter ;l!a "akaasu


6/26

82

Tg = +,4 ? +,+.)L

= +,4 ? "+,+. ) (,'*$

= (,*+

T+,* = < )tg

= 2,++ ) (,*+

= 2,'(*

tr = +, ) tg

= +, ) (,*+

= +,3.

Tp = tg ? "+,. ) tr$

= (,*+ ? "+,. ) +,3.$

= 2,+3+

p = "; ) Ro$#@*,'"+,*)Tp ? T+,*$A

= "(++ ) ($#@*,'"+,* ) 2,+3+ ? 2,'(*$A

= .,* m*#dt

Tabe+ ,'' 9aktu :engkung Hir"gra# Naka8a)u

N" Karakteri)tik N"ta)iA;a+ 0jam2 Akhir 0jam2

>otasi >ilai >otasi >ilai

' Lengkung >aik d+ + +,+++ Tp 2,''

$ Lengkung Turun Tahap ( d( Tp 2,'' Tp ? T+,* ',224

, Lengkung Turun Tahap 2 d2 Tp ? T+,* ',224 Tp ? 2, T+,* ((,4(+

3 Lengkung Turun Tahap * d* Tp ? 2, T+,* ((,4(+ B B


6eterangan :

Tg = (,*+


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83

tr = +,3. tahun

Tp = 2,+3+ = 2 jam

T+,* = 2,'(* = * jam

p = .,* m*#dt

Tabe+ ,'$ Tabe+ Per)amaan :engkung Hir"gra# Naka8a)u

N" Karakteri)tik N"ta)i Per)amaan

' Lengkung >aik d+ p) "t#Tp$C2,4

$ Lengkung Turun Tahap ( d( p) +,*C@"t-Tp$#T+,*A

, Lengkung Turun Tahap 2 d2 p) +,*C"t-Tp?+,)T+,*$#"(,)T+,*$

3 Lengkung Turun Tahap * d* p) +,*C"t-Tp?()T+)*$#"2)T+)*$


Tabe+ ,',


8/26

84

t 0jam2=

0m,1t2ket

. +,3*4*3 +,'.2

=,

(+ +,+

(( +,*(.

(2 +,*44

(* +,2.(

(4 +,22*'

( +,('

(' +,(4(+

( +,((2+

(. +,+.3+

(3 +,++

2+ +,+'(

2( +,+44'

22 +,+*4

2* +,+2.(

24 +,+22*

2 +,+(

2' +,+(4(2 +,+((2

2. +,++.3

23 +,++(

*+ +,++'

*( +,++4

*2 +,++*

** +,++2.

*4 +,++22

* +,++(.

*' +,++(4 =,

* +,++((

*. +,+++3

*3 +,+++

4+ +,+++'

4( +,+++4

42 +,+++4

4* +,+++*

44 +,+++2

4 +,+++24' +,+++(


9/26

85

t 0jam2=

0m,1t2ket

4 +,+++(4. +,+++(

43 +,+++(

+ +,+++(

( +,++++



10/26

86

Gambar ,,' Gra#ik Hir"gra# Hujan Rancangan Naka8a)u


11/26

87

Tabe+ ,'3 Perhitungan H77 Naka8a)u untuk =$% Tahun

Jam =t Akibat Hujan jam-jaman =ba)e#+"; =banjir

ke 0m,1t2 %'>%,$ ',>,63 6>,6. 4>35& .>,'4 %>%$' 0m,1t2 0m,1t2

+ +,+++ +,+++ +,+++ +,+++ +,+++ +,+++ +,+++ 2,+++ 2,+++

( (,4'( ,2'3 +,+++ +,+++ +,+++ +,+++ +,+++ 2,+++ ,2'3

2 ,+3 *3,24 (3,'4 +,+++ +,+++ +,+++ +,+++ 2,+++ 4(.,.*.

* ,'*. 23+,* (+*,2'+ (*,24 +,+++ +,+++ +,+++ 2,+++ 4+3,2(

4 *, (.*,24 ,( 2,4*4 (+,32 +,+++ +,+++ 2,+++ *44,((

2,24* ((,'(( 4,'* 2,3* ,'' 3,22' .,+' 2,+++ 23*,(

' (,4( 2,323 *+,++ **,4(' 42,(2 4.,'3' 42,'' 2,+++ 2(,.23

(,2+ ',4'+ (.,3' 2(,+3 2','+* *,'(* *(,(*+ 2,+++ 2++,.*3

. +,3*4 4.,(4 (,+(4 (*,23 (',.( 22,4' (3,'* 2,+++ (*3,*42

3 +,'. *,4(4 (2,( ((,3* (+,.' (4,(( (2,*. 2,+++ 33,++.

(+ +,+ 2',+4. 3,2+ .,3 3,+2 .,3*3 ,.(4 2,+++ 2,2.'(( +,*2 (3,(3 ',+ ',4 ',3.3 .,+24 ,+(4 2,+++ ',4(2

(2 +,*4 (.,2'4 4,3.+ 4,43 ,(4+ ,3+2 ,(3 2,+++ 4',(34

(* +,2.( (4,+' 4,4 *,43* *,.( 4,*4( *,34 2,+++ *',''2

(4 +,224 ((,2( *,+ *,**+ 2,.( *,(3* 2,3( 2,+++ 23,*.'

( +,(. 3,(+ 2,33 2,'4 2,'( 2,*4. 2,+* 2,+++ 2*,.42

(' +,(4( ,2'. 2,*. 2,(+( 2,(+' 2,2*3 (,3 2,+++ 2+,+4.

( +,((2 ,2 (,..3 (,''. (,'2 (,. (,4 2,+++ (',**4

(. +,+.3 4,.4 (,++ (,*2 (,*2. (,4(2 (,2*4 2,+++ (*,*.

(3 +,+( *,'4( (,(32 (,+2 (,+ (,(22 +,3.+ 2,+++ ((,+42

2+ +,+' 2,.32 +,34' +,.*' +,.*. +,.3( +,3 2,+++ 3,(.2

2( +,+4 2,23 +,2 +,''4 +,'' +,+. +,'(. 2,+++ ,+4

22 +,+* (,.24 +,3 +,2 +,23 +,'2 +,43( 2,+++ ',*+

2* +,+2. (,443 +,44 +,4(3 +,42+ +,44' +,*3+ 2,+++ ,3.

24 +,+22 (,(( +,* +,*** +,*** +,*4 +,*(+ 2,+++ 4,..

2 +,+(. +,3(4 +,233 +,2'4 +,2' +,2.2 +,24' 2,+++ 4,2+

2' +,+(4 +,2' +,2*. +,2(+ +,2(+ +,224 +,(3 2,+++ *,.+*

2 +,+(( +, +,(.3 +,(' +,(' +,(. +,( 2,+++ *,4*2

2. +,++3 +,4. +,(+ +,(*2 +,(** +,(4( +,(2* 2,+++ *,(*

23 +,++ +,*'4 +,((3 +,(+ +,(+ +,((2 +,+3. 2,+++ 2,3+**+ +,++' +,2.3 +,+3 +,+.* +,+.4 +,+.3 +,+. 2,+++ 2,(

*( +,++4 +,223 +,+ +,+'' +,+'' +,+( +,+'2 2,+++ 2,+

*2 +,++4 +,(.2 +,+'+ +,+* +,+* +,+' +,+43 2,+++ 2,42

** +,++* +,(4 +,+4 +,+42 +,+42 +,+4 +,+*3 2,+++ 2,*3

*4 +,++2 +,(( +,+*. +,+** +,+** +,+* +,+*( 2,+++ 2,2.

* +,++2 +,+3( +,+*+ +,+2' +,+2' +,+2. +,+2 2,+++ 2,22

*' +,++( +,+* +,+24 +,+2( +,+2( +,+22 +,+2+ 2,+++ 2,(.+

* +,++( +,+. +,+(3 +,+( +,+( +,+(. +,+(' 2,+++ 2,(4*

*. +,++( +,+4' +,+( +,+(* +,+(* +,+(4 +,+(2 2,+++ 2,((4

*3 +,++( +,+*' +,+(2 +,+(+ +,+(( +,+(( +,+(+ 2,+++ 2,+3+


12/26

88


ke 0m,1t2 %'>%,$ ',>,63 6>,6. 4>35& .>,'4 %>%$' 0m,1t2 0m,1t2

4+ +,++( +,+23 +,++3 +,++. +,++. +,++3 +,++. 2,+++ 2,+2

4( +,+++ +,+2* +,++ +,++ +,++ +,++ +,++' 2,+++ 2,+

42 +,+++ +,+(. +,++' +,++ +,++ +,++' +,++ 2,+++ 2,+44* +,+++ +,+(4 +,++ +,++4 +,++4 +,++4 +,++4 2,+++ 2,+*'

44 +,+++ +,+(( +,++4 +,++* +,++* +,++4 +,++* 2,+++ 2,+23

4 +,+++ +,++3 +,++* +,++* +,++* +,++* +,++2 2,+++ 2,+2*

4' +,+++ +,++ +,++2 +,++2 +,++2 +,++2 +,++2 2,+++ 2,+(.

4 +,+++ +,++' +,++2 +,++2 +,++2 +,++2 +,++2 2,+++ 2,+(4

4. +,+++ +,++ +,++( +,++( +,++( +,++( +,++( 2,+++ 2,+((

43 +,+++ +,++4 +,++( +,++( +,++( +,++( +,++( 2,+++ 2,++3

+ +,+++ +,++* +,++( +,++( +,++( +,++( +,++( 2,+++ 2,++

( +,+++ +,++2 +,++( +,++( +,++( +,++( +,++( 2,+++ 2,++'Sumber : Hasil perhitungan

Tabe+ ,'% Perhitungan H77 Naka8a)u untuk =%& Tahun


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Jam =t Akibat Hujan jam-jaman=ba)e#+"

;=banjir

ke 0m,1t2 %5>,$% '%>'.& '&>.,3 5>3.. 4>'36 %>%$' 0m,1t2 0m,1t2

+ +,+++ +,+++ +,+++ +,+++ +,+++ +,+++ +,+++ 2,+++ 2,+++

( (,4'( .,(32 +,+++ +,+++ +,+++ +,+++ +,+++ 2,+++ .,(322 ,+3 443,'44 22,(4* +,+++ +,+++ +,+++ +,+++ 2,+++ 4*,..

* ,'*. *2.,.* ((',.2 (,** +,+++ +,+++ +,+++ 2,+++ 4'*,242

4 *, 2+,4*4 .,42 .(,3.* (2,*'' +,+++ +,+++ 2,+++ *.3,2

2,24* (*+,.2 *,3( 3,3' ',2' (+,442 +,+++ 2,+++ *22,4*4

' (,4( .2,4* *4,+(( *,.2( 4,*( ,(( .,+' 2,+++ 2',2.'

(,2+ 4,+.3 2(,4 2*,.. *+,(+3 4+,*+ 42,'' 2,+++ 2*4,*.4

. +,3*4 4,434 (3,2 (,++ (.,33* 2,42' *(,(*+ 2,+++ ('',*(

3 +,'. 4+,+.2 (4,('4 (*,+3 ((,3.( (',+*3 (3,'* 2,+++ ((,4(2

(+ +,+ 23,4.2 (+,4(. 3,3*' (+,4 (+,((. (2,*. 2,+++ .,+3

(( +,*2 2(,'. ,''* ,*+. ,3(+ 3,+.( ,.(4 2,+++ '*,4'(

(2 +,*4 2+,'( ,'*' ,* ,.(. ','.+ ,+(4 2,+++ *,(34

(* +,2.( (',4(. ,** *,34 4,23 4,3(* ,(3 2,+++ 42,+3'

(4 +,224 (*,+4+ 4,2' *,'3 *,(4. *,'(4 *,34 2,+++ **,'*2

( +,(. (+,* *,*.3 2,33* *,+++ 2,'. 2,3( 2,+++ 2,(.3

(' +,(4( .,22' 2,'32 2,*. 2,*.* 2,*4 2,+* 2,+++ 22,2'

( +,((2 ',** 2,(*. (,... (,.3* 2,+(2 (,3 2,+++ (.,42(

(. +,+.3 ,(.3 (,'3. (,++ (,+* (,3. (,4 2,+++ (,+42

(3 +,+( 4,(2( (,*43 (,(3( (,(34 (,2'3 (,2*4 2,+++ (2,*3

2+ +,+' *,2* (,+( +,34' +,34. (,++. +,3.+ 2,+++ (+,222( +,+4 2,'++ +,.( +,( +,* +,.+( +,3 2,+++ .,*4

22 +,+* 2,+' +,'' +,3 +,3. +,'*' +,'(. 2,+++ ,(3+

2* +,+2. (,'4+ +,* +,44 +,4 +,+ +,43( 2,+++ ',(22

24 +,+22 (,*+2 +,42' +,*' +,* +,4+( +,*3+ 2,+++ ,24

2 +,+(. (,+*4 +,**3 +,233 +,*++ +,*(3 +,*(+ 2,+++ 4,'++

2' +,+(4 +,.22 +,2'3 +,2* +,2*. +,2* +,24' 2,+++ 4,+'

2 +,+(( +,'* +,2(4 +,(.3 +,(.3 +,2+( +,(3 2,+++ *,'4+

2. +,++3 +,(. +,(+ +,(+ +,(+ +,('+ +,( 2,+++ *,*+*

23 +,++ +,4(2 +,(* +,((3 +,((3 +,(2 +,(2* 2,+++ *,+*

*+ +,++' +,*2 +,(+ +,+34 +,+3 +,(+( +,+3. 2,+++ 2,.22

*( +,++4 +,2'+ +,+. +,+ +,+ +,+.+ +,+. 2,+++ 2,'*

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* +,++2 +,(+* +,+*4 +,+*+ +,+*+ +,+*2 +,+*( 2,+++ 2,2'+

*' +,++( +,+.2 +,+2 +,+24 +,+24 +,+2 +,+2 2,+++ 2,2+'

* +,++( +,+' +,+2( +,+(3 +,+(3 +,+2+ +,+2+ 2,+++ 2,('4

*. +,++( +,+2 +,+( +,+( +,+( +,+(' +,+(' 2,+++ 2,(*+

*3 +,++( +,+4( +,+(* +,+(2 +,+(2 +,+(* +,+(2 2,+++ 2,(+*4+ +,++( +,+** +,+(( +,++3 +,++3 +,+(+ +,+(+ 2,+++ 2,+.2


14/26

90


;=banjir

ke 0m,1t2 %5>,$% '%>'.& '&>.,3 5>3.. 4>'36 %>%$' 0m,1t2 0m,1t2

4( +,+++ +,+2' +,++. +,++ +,++. +,++. +,++. 2,+++ 2,+'

42 +,+++ +,+2( +,++ +,++' +,++' +,++' +,++' 2,+++ 2,+24* +,+++ +,+(' +,++ +,++ +,++ +,++ +,++ 2,+++ 2,+4(

44 +,+++ +,+(* +,++4 +,++4 +,++4 +,++4 +,++4 2,+++ 2,+**

4 +,+++ +,+(+ +,++* +,++* +,++* +,++* +,++* 2,+++ 2,+2'

4' +,+++ +,++. +,++* +,++2 +,++2 +,++* +,++2 2,+++ 2,+2(

4 +,+++ +,++ +,++2 +,++2 +,++2 +,++2 +,++2 2,+++ 2,+('

4. +,+++ +,++ +,++2 +,++( +,++( +,++2 +,++2 2,+++ 2,+(*

43 +,+++ +,++4 +,++( +,++( +,++( +,++( +,++( 2,+++ 2,+(+

+ +,+++ +,++* +,++( +,++( +,++( +,++( +,++( 2,+++ 2,++.

( +,+++ +,++* +,++( +,++( +,++( +,++( +,++( 2,+++ 2,++


Tabe+ ,'. Perhitungan H77 Naka8a)u untuk =$&& Tahun


15/26

91


;=banjir

ke 0m,1t2 .,>,,' '.>3.' ''>%34 6>'6, 4>4., .>45. 0m,1t2 0m,1t2

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* ,'*. *,+3 (2',3+* (',.'' +,+++ +,+++ +,+++ 2,+++ +2,.2.

4 *, 22,2* 32,.+ .3,+(3 (*,42 +,+++ +,+++ 2,+++ 422,43(

2,24* (42,+.2 .,44 ',(+2 +,.'. ((,**3 +,+++ 2,+++ *43,3*

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16/26

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17/26

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18/26

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Tabe+ ,'5 Perhitungan H77 Naka8a)u untuk =P!( Tahun


19/26

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20/26

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21/26

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22/26

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23/26

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rekapan hujan ran5angan netto dan debit banjir ran5angan maksimum dari masing-masing

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24/26

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25/26

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26/26

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