7/22/2019 Bab 5 - Aliran Berubah Beransur

1/20

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

7/22/2019 Bab 5 - Aliran Berubah Beransur

2/20

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

7/22/2019 Bab 5 - Aliran Berubah Beransur

3/20

&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

7/22/2019 Bab 5 - Aliran Berubah Beransur

4/20

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

7/22/2019 Bab 5 - Aliran Berubah Beransur

5/20

(!)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

7/22/2019 Bab 5 - Aliran Berubah Beransur

6/20

)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

7/22/2019 Bab 5 - Aliran Berubah Beransur

7/20

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 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

7/22/2019 Bab 5 - Aliran Berubah Beransur

8/20

-

!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

7/22/2019 Bab 5 - Aliran Berubah Beransur

9/20

(!)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

7/22/2019 Bab 5 - Aliran Berubah Beransur

10/20

)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

7/22/2019 Bab 5 - Aliran Berubah Beransur

12/20

-

!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

7/22/2019 Bab 5 - Aliran Berubah Beransur

14/20

)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

7/22/2019 Bab 5 - Aliran Berubah Beransur

16/20

-

!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

7/22/2019 Bab 5 - Aliran Berubah Beransur

18/20

)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

7/22/2019 Bab 5 - Aliran Berubah Beransur

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

0.0000 0.0000 0.0000 0.0000

F=7.78=2

so=

%*2#

Qn"S0

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