Download - Bab 5 - Aliran Berubah Beransur
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7/22/2019 Bab 5 - Aliran Berubah Beransur
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Rectangular SectionExample 2.2
Case 1 : Water depth, y is given Case 2 : Water depth, y is
Input ata !nit Input ata
Drain Slope, 1 : 1000 - Drain Slope, 1 :
Manning, n = 0.0000 - Manning, n =
Water Depth, y = 0.000 m Flow discharge, Q =
"ottom Width, " = 0.000 m "ottom Width, " =
Calculated ata !nit Calculated ata
%rea, % = 0.000 m2 %rea, % =
Wetted parameter, ' = 0.000 m2 Wetted parameter, ' =
(ydra)lic radi)s, * = 0.000 m (ydra)lic radi)s, * =
Flow discharge, Q = 0.000 m#s Water Depth, y =
Flow elocity, = #2.+$# ms Flow elocity, =
=
=
so= so=
%*2#
Qn"S0
12
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Example 2."
ot given Case # : $or E%%icient Shape
!nit Input ata !nit
$$$.$$$& - Drain Slope, so = 1 : 1000 -
0.0200 - Manning, n = 0.0000 -
.!00 m#s Flow discharge, Q = 0.000 m#s
#.$00 m "ottom Width, " = 0.001 m
!nit Calculated ata !nit
$.1!& m2 %rea, % = 0.000 m2
&.!!1 m2 Wetted parameter, ' = 0.002 m2
0.+ m (ydra)lic radi)s, * = 0.000 m
1.!+0 m Water Depth, y = 0.001 m
1.2+ ms Flow elocity, = 1!.100 ms
1.2&&0
1.2&&1
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&rape'oidal Section
Case 1 : Water depth, y is given Case 2 : Water depth, y is
Input ata !nit Input ata
Drain Slope, 1 : 1000 - Drain Slope, 1 :
Manning, n = 0.0000 - Manning, n =
Water Depth, y = 0.000 m Flow discharge, Q =
Side Slope, / = 1 : 1.00 - Side Slope, / = 1 :
"ottom Width, " = 0.000 m "ottom Width, " =
Calculated ata !nit Calculated ata
%rea, % = 0.000 m2 %rea, % =
Wetted parameter, ' = 0.000 m2 Wetted parameter, ' =
(ydra)lic radi)s, * = 0.000 m (ydra)lic radi)s, * =
Flow discharge, Q = 0.000 m#s Water Depth, y =
Flow elocity, = 0.0&1 ms Flow elocity, = 1
=
=
so= so=
%*2#
Qn"S0
12
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not given Case # : $or E%%icient Shape
!nit Input ata !nit
1000 - Drain Slope, so = 1 : 1000 -
.0000 - Manning, n = 0.0000 -
0.000 m#s Flow discharge, Q = 0.000 m#s
1.00 Side Slope, / = 1 : 1.00
0.000 m "ottom Width, " = 0.000 m
!nit Calculated ata !nit
1.000 m2 %rea, % = 0.000 m2
2.2 m2 Wetted parameter, ' = 0.000 m2
0.#$! m (ydra)lic radi)s, * = 0.000 m
1.000 m Water Depth, y = 0.000 m
1.1# ms Flow elocity, = #.121 ms
0.$000
0.0000
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(!)ERIC*+ I(&ER*&I-REC&*(!+*R S*/E
0!ES&I-( 1
1.!+0! Input ata
" #.$000 Drain Slope,
Q .!000 Manning, n =
2.&$+ Flow discharge, Q =
0.001 "ottom Width, " =
n 0.0200 Calculated ata
0.02& o c : Su3critical %rea, % =y2 1.000 Wetted parameter, ' =
y1 1.!+0! (ydra)lic radi)s, * =
221.$&01 Water Depth, y =
Segment ! )aximum 4 12 nos Flow elocity, =
y 0.02!
Segment y 5
1 1.000 - 1.+1+& 1.+$ 0.&!
2 1.+1+& - 1.$2 1.&+&! 0.!#
# 1.$2 - 1.$$2 1.$!0 0.1$
! 1.$$2 - 1.!+0! 1.$11& 0.++1
$ 0.0000 - 0.0000 0.0000 0.0000
& 0.0000 - 0.0000 0.0000 0.0000
+ 0.0000 - 0.0000 0.0000 0.0000
0.0000 - 0.0000 0.0000 0.0000
0.0000 - 0.0000 0.0000 0.0000
10 0.0000 - 0.0000 0.0000 0.0000
11 0.0000 - 0.0000 0.0000 0.0000
12 0.0000 - 0.0000 0.0000 0.0000
y0
so=
S0
yc
0
%*2#
Qn"S0
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)E&-
!nit
1 : $$$.$$$& -
0.0200 -
.!000 m#s
#.$000 m
!nit
$.1!&! m2&.!!0 m2
0.+0 m
1.!+0! m
1.2&& ms
= 1.2&&1
= 1.2&&1
6x $-R)!+*E
0.#2 10#.#!$ Q =
0.2$ 12.!#1
0.1&& 10.$!# =
0.0+2$ !&.0+
0.0000 0.0000
0.0000 0.0000 y =
0.0000 0.0000
0.0000 0.0000 =
0.0000 0.0000
0.0000 0.0000
0.0000 0.0000
0.0000 0.0000 3 =
728.278"
c =
0 =
9alue o% this red 3ox ille%%ect value o% the orange3ox ;
)a?e sure:9alue o% this 3ox 4 9alu
@y changing:9alue o% the red 3ox ;A1
!se oal See? command
9alue o% this 3lue 3ox iautomatically change3ase on the input data
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IREC& S&E/ )E&REC&*(!+*R S*/E
0!ES&I-( 1
1.!+0! Input ata
" #.$000 Drain Slope,
Q .!000 Manning,
2.&$+ Flow discharge,
0.001 "ottom Width,
n 0.0200 Calculated ata
0.02& o c : Su3critical %rea,y2 1.000 Wetted parameter,
y1 1.!+0! (ydra)lic radi)s,
Water Depth,
Segment ! )aximum 4 12 nos Flow elocity,
y 0.02!
Segment y R 4 */ v 4 Dy v22g E 6E
- 1.000 0.+# 1.!21 0.11#$ 1.1#$ -
1 1.+1+& 0.&& 1.$& 0.12!& 1.!22 -0.0+1#
2 1.$2 0.!$# 1.&!2! 0.1#+$ 1.++2+ -0.0&$
# 1.$$2 0.22 1.+2& 0.1$2$ 1.+0$# -0.0&+!
! 1.!+0! 0.+0 1.2&$ 0.1+00 1.&!0! -0.0&!
$ 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
& 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
+ 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
10 0.0000 0.0000 0.0000 0.0000 0.0000 0.000011 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
12 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
y0
S0
yc
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-
!nit
1 : $$$.$$$& -
n = 0.0200 -
Q = .!000 m#s
" = #.$000 m
!nit
% = $.1!&! m2' = &.!!0 m2
* = 0.+0 m
y = 1.!+0! m
= 1.2&& ms
= 1.2&&1
= 1.2&&1
6x 4 6E;So F G>
1.0!!! - - -
1.1## 1.11# 0.&&2 -10#.!12
1.#$00 1.2&&+ 0.$### -1#0.#$$&
1.$$21 1.!$11 0.#! -1#.21!$
1.+ 1.&+$ 0.12!1 -$22.&2$
0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.00000.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.0000
F7H8.8B8"
so=
%*2#
Qn"S0
i x 18F# G x 18F# ;So F G> x 18F#
9alue o% this red 3ox e%%ect value o% the ora;+1=>
)a?e sure:9alue o% thi
@y changin9alue o% th
!se oal Se
9alue o% thiautomaticalthe input d
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(!)ERIC*+ I(&ER*&I-REC&*(!+*R S*/E
0!ES&I-( 2
1.!+0! Input ata
" #.$000 Drain Slope,
Q .!000 Manning, n =
2.&$+ Flow discharge, Q =
0.001 "ottom Width, " =
n 0.0200 Calculated ata
0.02& o c : Su3critical %rea, % =y2 0.02& Wetted parameter, ' =
y1 1.!+0! (ydra)lic radi)s, * =
221.$&01 Water Depth, y =
Segment ! )aximum 4 12 nos Flow elocity, =
y -0.1!20
Segment y 5
1 0.02& - 1.0!!& 0.+#& 0.20#2
2 1.0!!& - 1.1&$ 1.11$$ 0.!+0#
# 1.1&$ - 1.#2$ 1.2$+$ 0.
! 1.#2$ - 1.!+0! 1.#! 0.+#1+
$ 0.0000 - 0.0000 0.0000 0.0000
& 0.0000 - 0.0000 0.0000 0.0000
+ 0.0000 - 0.0000 0.0000 0.0000
0.0000 - 0.0000 0.0000 0.0000
0.0000 - 0.0000 0.0000 0.0000
10 0.0000 - 0.0000 0.0000 0.0000
11 0.0000 - 0.0000 0.0000 0.0000
12 0.0000 - 0.0000 0.0000 0.0000
y0
so=
S0
yc
0
%*2#
Qn"S0
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)E&-
!nit
1 : $$$.$$$& -
0.0200 -
.!000 m#s
#.$000 m
!nit
$.1!&! m2&.!!0 m2
0.+0 m
1.!+0! m
1.2&& ms
= 1.2&&1
= 1.2&&1
6x $-R)!+*E
-2.1&0 +.!1&2 Q =
-1.1! #2.2$+
-0.$#+! 2.!+&2 =
-0.1!!& #.&++
0.0000 0.0000
0.0000 0.0000 y =
0.0000 0.0000
0.0000 0.0000 =
0.0000 0.0000
0.0000 0.0000
0.0000 0.0000
0.0000 0.0000 3 =
H#1.1BH
c =
0 =
9alue o% this red 3ox ille%%ect value o% the orange3ox ;
)a?e sure:9alue o% this 3ox 4 9alu
@y changing:9alue o% the red 3ox ;A1
!se oal See? command
9alue o% this 3lue 3ox iautomatically change3ase on the input data
-
7/22/2019 Bab 5 - Aliran Berubah Beransur
11/20
IREC& S&E/ )E&REC&*(!+*R S*/E
0!ES&I-( 1
1.!+0! Input ata
" #.$000 Drain Slope,
Q .!000 Manning,
2.&$+ Flow discharge,
0.001 "ottom Width,
n 0.0200 Calculated ata
0.02& o c : Su3critical %rea,y2 0.02& Wetted parameter,
y1 1.!+0! (ydra)lic radi)s,
Water Depth,
Segment ! )aximum 4 12 nos Flow elocity,
y -0.1!20
Segment y R 4 */ v 4 Dy v22g E 6E
- 0.02& 0.$$$ 2.+$$ 0.!$1# 1.#$# -
1 1.0!!& 0.&$!1 2.$+12 0.##& 1.#1$ 0.02+&
2 1.1&$ 0.+0+1 2.2& 0.2&11 1.!!+& 0.0&&1
# 1.#2$ 0.+$$2 2.021+ 0.20# 1.$#& 0.01
! 1.!+0! 0.+0 1.2&$ 0.1+00 1.&!0! 0.10#+
$ 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
& 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
+ 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
10 0.0000 0.0000 0.0000 0.0000 0.0000 0.000011 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
12 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
y0
S0
yc
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-
!nit
1 : $$$.$$$& -
n = 0.0200 -
Q = .!000 m#s
" = #.$000 m
!nit
% = $.1!&! m2' = &.!!0 m2
* = 0.+0 m
y = 1.!+0! m
= 1.2&& ms
= 1.2&&1
= 1.2&&1
6x 4 6E;So F G>
+.0 - - -
!.&$+1 $. -!.0 -&.011
#.2$#! #.$$# -2.1$$# -#0.&21
2.#++# 2.1$! -1.01$! -+.++2$
1.+ 2.0& -0.2& -#$.2&+$
0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.00000.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.0000
FBB.H##B
so=
%*2#
Qn"S0
i x 18F# G x 18F# ;So F G> x 18F#
9alue o% this red 3ox e%%ect value o% the ora;+1=>
)a?e sure:9alue o% thi
@y changin9alue o% th
!se oal Se
9alue o% thiautomaticalthe input d
-
7/22/2019 Bab 5 - Aliran Berubah Beransur
13/20
(!)ERIC*+ I(&ER*&I-REC&*(!+*R S*/E
0!ES&I-( #
0.#0 Input ata
" #.$000 Drain Slope,
Q .!000 Manning, n =
2.&$+ Flow discharge, Q =
0.0200 "ottom Width, " =
n 0.0200 Calculated ata
0.02& o J c : Supercritical %rea, % =y2 0.02& Wetted parameter, ' =
y1 0.#0 (ydra)lic radi)s, * =
&&.!&0 Water Depth, y =
Segment ! )aximum 4 12 nos Flow elocity, =
y 0.0&+!
Segment y 5
1 0.02& - 0.#$2 0.& -0.120
2 0.#$2 - 0.+&+ 0.01$ -0.!20
# 0.+&+ - 0.+00! 0.+#!1 -0.$&
! 0.+00! - 0.#0 0.&&&+ -1.!12
$ 0.0000 - 0.0000 0.0000 0.0000
& 0.0000 - 0.0000 0.0000 0.0000
+ 0.0000 - 0.0000 0.0000 0.0000
0.0000 - 0.0000 0.0000 0.0000
0.0000 - 0.0000 0.0000 0.0000
10 0.0000 - 0.0000 0.0000 0.0000
11 0.0000 - 0.0000 0.0000 0.0000
12 0.0000 - 0.0000 0.0000 0.0000
y0
so=
S0
yc
0
%*2#
Qn"S0
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)E&-
!nit
1 : $0.0000 -
0.0200 -
.!000 m#s
#.$000 m
!nit
2.21$! m2!.+&&0 m2
0.!&! m
0.#0 m
!.2!#2 ms
= 0.#+
= 0.#+
6x $-R)!+*E
0.&0$$ -0.&+2$ Q =
0.$01# -2.++#
0.#$$1 -.1!++ =
0.1!#0 -#!.&+
0.0000 0.0000
0.0000 0.0000 y =
0.0000 0.0000
0.0000 0.0000 =
0.0000 0.0000
0.0000 0.0000
0.0000 0.0000
0.0000 0.0000 3 =
FB=.H7B2
c =
0 =
9alue o% this red 3ox ille%%ect value o% the orange3ox ;
)a?e sure:9alue o% this 3ox 4 9alu
@y changing:9alue o% the red 3ox ;A1
!se oal See? command
9alue o% this 3lue 3ox iautomatically change3ase on the input data
-
7/22/2019 Bab 5 - Aliran Berubah Beransur
15/20
IREC& S&E/ )E&REC&*(!+*R S*/E
0!ES&I-( 1
0.#0 Input ata
" #.$000 Drain Slope,
Q .!000 Manning,
2.&$+ Flow discharge,
0.0200 "ottom Width,
n 0.0200 Calculated ata
0.02& o J c : Supercritical %rea,y2 0.02& Wetted parameter,
y1 0.#0 (ydra)lic radi)s,
Water Depth,
Segment ! )aximum 4 12 nos Flow elocity,
y 0.0&+!
Segment y R 4 */ v 4 Dy v22g E 6E
- 0.02& 0.$$$ 2.+$$ 0.!$1# 1.#$# -
1 0.#$2 0.$&$! #.21$+ 0.$2+0 1.#&22 0.00!
2 0.+&+ 0.$##+ #.!+ 0.&2#& 1.#1! 0.022
# 0.+00! 0.$002 #.#!$ 0.+!! 1.!! 0.0$!
! 0.#0 0.!&! !.2!2 0.1+$ 1.$$0$ 0.100+
$ 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
& 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
+ 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
10 0.0000 0.0000 0.0000 0.0000 0.0000 0.000011 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
12 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
y0
S0
yc
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-
!nit
1 : $0.0000 -
n = 0.0200 -
Q = .!000 m#s
" = #.$000 m
!nit
% = 2.21$$ m2' = !.+&&0 m2
* = 0.!&! m
y = 0.#0 m
= !.2!#2 ms
= 0.#+
= 0.#+
6x 4 6E;So F G>
+.0 - - -
.!+$ +.$! 12.0!1& 0.&$#
11.#0&& 10.0++0 .2#0 2.!1
1!.12! 1#.0$$ &.!0$ .!1!2
1. 1+.!0!# 2.$$+ #.+11
0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.00000.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.0000
H8.B2#
so=
%*2#
Qn"S0
i x 18F# G x 18F# ;So F G> x 18F#
9alue o% this red 3ox e%%ect value o% the ora;+1=>
)a?e sure:9alue o% thi
@y changin9alue o% th
!se oal Se
9alue o% thiautomaticalthe input d
-
7/22/2019 Bab 5 - Aliran Berubah Beransur
17/20
(!)ERIC*+ I(&ER*&I-REC&*(!+*R S*/E
0!ES&I-( B
1.##02 Input ata
" #.0000 Drain Slope,
Q +.#000 Manning, n =
2.!### Flow discharge, Q =
0.0012 "ottom Width, " =
n 0.01$0 Calculated ata
0.!$1 o c : Su3critical %rea, % =y2 0.!&+ Wetted parameter, ' =
y1 0.1$00 (ydra)lic radi)s, * =
210.+#2 Water Depth, y =
Segment ! )aximum 4 12 nos Flow elocity, =
y 0.0&+
Segment y 5
1 0.!&+ - 0.!100 0.!$#! -$.!++!
2 0.!100 - 0.#2#! 0.#&&+ -11.2!1
# 0.#2#! - 0.2#&+ 0.200 -2&.!1+
! 0.2#&+ - 0.1$00 0.1## -2.$11
$ 0.0000 - 0.0000 0.0000 0.0000
& 0.0000 - 0.0000 0.0000 0.0000
+ 0.0000 - 0.0000 0.0000 0.0000
0.0000 - 0.0000 0.0000 0.0000
0.0000 - 0.0000 0.0000 0.0000
10 0.0000 - 0.0000 0.0000 0.0000
11 0.0000 - 0.0000 0.0000 0.0000
12 0.0000 - 0.0000 0.0000 0.0000
y0
so=
S0
yc
0
%*2#
Qn"S0
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)E&-
!nit ydraulic Aump
1 : ##.#### - Q +.#000
0.01$0 - " #.0000
+.#000 m#s
#.0000 m y2 1.##02
!nit 2 1.2#
#.0+ m2 Fr2 0.$0&!$.&&0$ m2
0.+0$0 m y1 0.!&+
1.##02 m 1 !.+
1.2# ms Fr1 2.211
= 1.0$#+
= 1.0$#+
6x $-R)!+*E
-21.0$$0 1.+00 Q =
-!1.110& 1.+$1#
-&.101 1.0& =
-#11.2+0 1.1!+2
0.0000 0.0000
0.0000 0.0000 y =
0.0000 0.0000
0.0000 0.0000 =
0.0000 0.0000
0.0000 0.0000
0.0000 0.0000
0.0000 0.0000 3 =
"".H72
c =
0 =
9alue o% this red 3ox ille%%ect value o% the orange3ox ;
)a?e sure:9alue o% this 3ox 4 9alu
@y changing:9alue o% the red 3ox ;A1
!se oal See? command
9alue o% this 3lue 3ox iautomatically change3ase on the input data
-
7/22/2019 Bab 5 - Aliran Berubah Beransur
19/20
IREC& S&E/ )E&REC&*(!+*R S*/E
0!ES&I-( 1
1.##02 Input ata
" #.0000 Drain Slope,
Q +.#000 Manning,
2.!### Flow discharge,
0.0012 "ottom Width,
n 0.01$0 Calculated ata
0.!$1 o c : Su3critical %rea,y2 0.!&+ Wetted parameter,
y1 0.1$00 (ydra)lic radi)s,
Water Depth,
Segment ! )aximum 4 12 nos Flow elocity,
y 0.0&+
Segment y R 4 */ v 4 Dy v22g E 6E
- 0.!&+ 0.#+#1 !.0 1.22## 1.+200 -
1 0.!100 0.#220 $.#!& 1.+$1 2.20$1 0.!$2
2 0.#2#! 0.2&&0 +.$2$! 2.&! #.20 1.00!+
# 0.2#&+ 0.20!! 10.21# $.#++ $.&2!# 2.!1!&
! 0.1$00 0.1#&! 1&.2222 1#.!12 1#.$&2 +.#$
$ 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
& 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
+ 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
10 0.0000 0.0000 0.0000 0.0000 0.0000 0.000011 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
12 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
y0
S0
yc
-
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20/20
-
!nit
1 : ##.#### -
n = 0.01$0 -
Q = +.#000 m#s
" = #.0000 m
!nit
% = #.0& m2' = $.&&0! m2
* = 0.+0$0 m
y = 1.##02 m
= 1.2# ms
= 1.0$#+
= 1.0$#+
6x 4 6E;So F G>
20.101 - - -
#$.0!$ 2.00#1 -2&.0#1 -1.100&
+!.!1! $$.12 -$#.2 -1.&0+2
1+.$0&2 1#$.# -1#!.+# -1+.1#0
!#.&0#& $20.$$! -$1.#$! -1$.2$!
0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.00000.0000 0.0000 0.0000 0.0000
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