Tugas Besar Matrik Fitria

7/25/2019 Tugas Besar Matrik Fitria

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TUGAS BESAR (UJIAN FINAL)ANALISA STRUKTUR METODE MATRIK KELAS C2 TAHUN 2015

1

Dik: E = 2.10E+06

Mutu baja BJ-34, Profl siku = !.!.

" = 10.10

P#$%#l#saia$:

& Bata$' a

( =

s =

s( =

)a =

)a =

*a = 1.06E+0!

1 0 -1 0

0 0 0 0

-1 0 1 0

0 0 0 0

1.06E+0! 0 -1.06E+0! 0

0 0 0 0

Suatu ko!t"uk!# "a$ka %a&a !''"t# t'"$a%a" *'$a #+a# o*u+u! '+a!t#!#ta! E , 2-1 . 10/ k$2 D#*#t'tuka !'*#"# %'"*a!a"ka ta%'+ "o3#+ %a&a Ha+ 4a+ a$ %'+u &'+a! *aat *#"'aaka !'*#"# Ko!

6aktu #!t#"a4at *# kau! H#tu$71 8'"#*a4a a*a !'t#a t#t#k !#u+

tuua 9 Gaa a!#

k'(2

(2

1

=

(2 =

s2 =

a % *

&

k

)

L

$

'3 4

#

1 2 9 ;8; , 9000 k$

/

<

=

81 , 1000 k$

82 , ;000 k$

85 , ;000 k$

89 , 2000

a1 2




2

-1.06E+0! 0 1.06E+0! 0

0 0 0 0

& Bata$' b

( =

s =

s( =

)b =

)b =

*b = 1.06E+0!

1 0 -1 0

0 0 0 0

-1 0 1 0

0 0 0 0

*b =

1060!0 0 -1060!0 0

0 0 0 0

-1060!0 0 1060!0 0

0 0 0 0

& Bata$' (

( =

s =

s( =

)( =

)( =

*( = 1.06E+0!

1 0 -1 0

0 0 0 0

-1 0 1 0

0 0 0 0

*( =

1.06E+0! 0 -1.06E+0! 0

0 0 0 0-1.06E+0! 0 1.06E+0! 0

0 0 0 0

2 =

(2 =

s2 =

3 =

(2 =

s

2

=

%

2 9

9 ;




3

& Bata$'

( =

s =

s( =) =

) =

* = 1.06E+0!

1 0 -1 0

0 0 0 0

-1 0 1 0

0 0 0 0

* =

1.06E+0! 0 -1.06E+0! 0

0 0 0 0

-1.06E+0! 0 1.06E+0! 00 0 0 0

& Bata$' #

( =

s =

s( =

)# =

)# =

*# = 1.41E+0!

3.!E-033 6.13E-01 -3./E-033 -6.126E-01

6.13E-01 1 -6.1E-01 -1

-3./E-033 -6.1E-01 3.!E-033 6.126E-01

-6.1E-01 -1 6.13E-01 1

*# =

!.31E-2/ /.66E-12 -!.31E-2/ -/.66E-12

/.66E-12 1.41E+0! -/.66E-12 -1.41E+0!

-!.31E-2/ -/.66E-12 !.31E-2/ /.66E-12

-/.66E-12 -1.41E+0! /.66E-12 1.41E+0!

4 =

(2 =

s2 =

! =

(2 =

s2 =

*

; 5

'

2

/




4

& Bata$'

( =

s =

s( =

) =

) =

* = /.4/E+04

0.64 -0.4/ -0.64 0.4/

-0.4/ 0.36 0.4/ -0.36

-0.64 0.4/ 0.64 -0.4/

0.4/ -0.36 -0.4/ 0.36

* =

!.43E+04 -4.0E+04 -!.43E+04 4.0E+04-4.0E+04 3.0!E+04 4.0E+04 -3.0!E+04

-!.43E+04 4.0E+04 !.43E+04 -4.0E+04

4.0E+04 -3.0!E+04 -4.0E+04 3.0!E+04

& Bata$' '

=

( =

s =

s( =

)' =

)' =

*' = .0E+04

3.!E-033 6.13E-01 -3./E-033 -6.126E-01

6.13E-01 1 -6.1E-01 -1

-3./E-033 -6.1E-01 3.!E-033 6.126E-01

-6.1E-01 -1 6.13E-01 1

*' =

2.6!E-2/ 4.33E-12 -2.6!E-2/ -4.33E-12

4.33E-12 .0E+04 -4.33E-12 -.0E+04

-2.6!E-2/ -4.33E-12 2.6!E-2/ 4.33E-12

6 = 0 + ar(ta$21.! =

(2

=

s2 =

(2 =

s2 =

9

<

$

3

9

/




!

-4.33E-12 -.0E+04 4.33E-12 .0E+04

& Bata$'

( =

s =

s( =

) =

) =

* = /.4/E+04

0.64 0.4/ -0.64 -0.4/

0.4/ 0.36 -0.4/ -0.36

-0.64 -0.4/ 0.64 0.4/-0.4/ -0.36 0.4/ 0.36

* =

!.43E+04 4.0E+04 -!.43E+04 -4.0E+04

4.0E+04 3.0!E+04 -4.0E+04 -3.0!E+04

-!.43E+04 -4.0E+04 !.43E+04 4.0E+04

-4.0E+04 -3.0!E+04 4.0E+04 3.0!E+04

& Bata$' i

( =

s =

s( =

)i =

)i =

*i = 1.41E+0!

3.!E-033 6.13E-01 -3./E-033 -6.126E-01

6.13E-01 1 -6.1E-01 -1

-3./E-033 -6.1E-01 3.!E-033 6.126E-01

-6.1E-01 -1 6.13E-01 1

/ = ar(ta$1.!2 =

(2 =

s2 =

=

(2 =

s2 =

#

;

=

4

9

=




6

*i =

!.31E-2/ /.66E-12 -!.31E-2/ -/.66E-12

/.66E-12 1.41E+0! -/.66E-12 -1.41E+0!

-!.31E-2/ -/.66E-12 !.31E-2/ /.66E-12

-/.66E-12 -1.41E+0! /.66E-12 1.41E+0!

5 Bata$' j

( =

s =

s( =

)j =

)j =

*j = /.4/E+04

0.64 0.4/ -0.64 -0.4/0.4/ 0.36 -0.4/ -0.36

-0.64 -0.4/ 0.64 0.4/

-0.4/ -0.36 0.4/ 0.36

*j =

!.43E+04 4.0E+04 -!.43E+04 -4.0E+04

4.0E+04 3.0!E+04 -4.0E+04 -3.0!E+04

-!.43E+04 -4.0E+04 !.43E+04 4.0E+04

-4.0E+04 -3.0!E+04 4.0E+04 3.0!E+04

5 Bata$' k

( =

s =

s( =

)k =

)k =

0.64 0.4/ -0.64 -0.4/

10 = ar(ta$1.!2 =

(2 =

s2 =

11 = ar(ta$1.!2 =

(2 =

s2

=

&

1

/

k

/

<




*k = /.4/E+040.4/ 0.36 -0.4/ -0.36

-0.64 -0.4/ 0.64 0.4/

-0.4/ -0.36 0.4/ 0.36

*k =

!.43E+04 4.0E+04 -!.43E+04 -4.0E+04

4.0E+04 3.0!E+04 -4.0E+04 -3.0!E+04

-!.43E+04 -4.0E+04 !.43E+04 4.0E+04

-4.0E+04 -3.0!E+04 4.0E+04 3.0!E+04

5 Bata$' )

( =

s =

s( =

)l =)l =

*l = /.4/E+04

0.64 -0.4/ -0.64 0.4/

-0.4/ 0.36 0.4/ -0.36

-0.64 0.4/ 0.64 -0.4/

0.4/ -0.36 -0.4/ 0.36

*l =

!.43E+04 -4.0E+04 -!.43E+04 4.0E+04

-4.0E+04 3.0!E+04 4.0E+04 -3.0!E+04

-!.43E+04 4.0E+04 !.43E+04 -4.0E+04

4.0E+04 -3.0!E+04 -4.0E+04 3.0!E+04

5 Bata$'

( =

s =

s( =

) =

12 = 20+ar(ta$21.! =

(2 =

s2 =

13 =0+ar(ta$21.! =

(2 =

s2 =

)

5

=

L

<




/

) =

* = /.4/E+04

0.64 -0.4/ -0.64 0.4/

-0.4/ 0.36 0.4/ -0.36

-0.64 0.4/ 0.64 -0.4/

0.4/ -0.36 -0.4/ 0.36

* =

!.43E+04 -4.0E+04 -!.43E+04 4.0E+04

-4.0E+04 3.0!E+04 4.0E+04 -3.0!E+04

-!.43E+04 4.0E+04 !.43E+04 -4.0E+04

4.0E+04 -3.0!E+04 -4.0E+04 3.0!E+04

Matrik k#kakua$ struktur:

1 = ka11.1+ka12.2+kj11.1+kj126

2 = ka21.1+ka22.2+kb11.2+kb12.3+k#11.2+k#12.6

3 = kb21.2+kb22.3+k(11.3+k(12.4+k11.3+k12.6+k'11.3+k'12.+k11.3+k

4 = k(21.3+k(22.4+k11.4+k12.!+ki11.4+ki12./

! = k21.4+k22.!+k11.!+k12./

6 = k#21.2+k#22.6+k21.3+k22.6+kj21.1+kj22.6+kk11.6+kk12.

= k'21.3+k'22.+kk21.6+kk22.+kl11.+kl12./

/ = k21.3+k22./+ki21.4+ki22./+kl21.+kl22./+k21.!+k22./

1

=

ka11+kj11 ka12 0

2 ka21 ka22+kb11+k#11 kb12

3 0 kb21 kb22+k(11+k11+k'11+k11 k(

40 0 k(21 k(22+k

! 0 0 0 k

6 kj21 k#21 k21

0 0 k'21

/ 0 0 k21 ki

s%arat batas :

u1 = 71 = u! = 7! = 0

u2 = 72 = u3 = 73 = u4= 74 = u6 = 76 = u = 7 = u/ = 7/ = b#r8i$a

91 1.60E+0! 4.0E+04 -1.06E+0! 0 0 0

9%1 4.0E+04 3.0!E+04 0 0 0 0

92 -1.06E+0! 0 2.12E+0! /.66E-12 -1.06E+0! 0

9%2 0 0 /.66E-12 1.41E+0! 0 0




93

=

0 0 -1.06E+0! 0 3.21E+0! .2/E-12

9%3 0 0 0 0 .2/E-12 1.32E+0!

94 0 0 0 0 -1.06E+0! 0

9%4 0 0 0 0 0 0

9! 0 0 0 0 0 0

9%! 0 0 0 0 0 0

96 -!.43E+04 -4.0E+04 -!.31E-2/ -/.66E-12 -!.43E+04 4.0E+04

9%6 -4.0E+04 -3.0!E+04 -/.66E-12 -1.41E+0! 4.0E+04 -3.0!E+04

9 0 0 0 0 -2.6!E-2/ -4.33E-12

9% 0 0 0 0 -4.33E-12 -.0E+04

9/ 0 0 0 0 -!.43E+04 -4.0E+04

9%/ 0 0 0 0 -4.0E+04 -3.0!E+04

atriks$%a #$jai :

92

=

2.12E+0! /.66E-12 -1.06E+0! 0 0 0

9%2 /.66E-12 1.41E+0! 0 0 0 0

93 -1.06E+0! 0 3.21E+0! .2/E-12 -1.06E+0! 0

9%3 0 0 .2/E-12 1.32E+0! 0 0

94 0 0 -1.06E+0! 0 2.12E+0! /.66E-12

9%4 0 0 0 0 /.66E-12 1.41E+0!

96 -!.31E-2/ -/.66E-12 -!.43E+04 4.0E+04 0 0

9%6 -/.66E-12 -1.41E+0! 4.0E+04 -3.0!E+04 0 0

9 0 0 -2.6!E-2/ -4.33E-12 0 0

9% 0 0 -4.33E-12 -.0E+04 0 0

9/ 0 0 -!.43E+04 -4.0E+04 -!.31E-2/ -/.66E-12

9%/ 0 0 -4.0E+04 -3.0!E+04 -/.66E-12 -1.41E+0!

u2

=

2.12E+0! /.66E-12 -1.06E+0! 0 0 0

72 /.66E-12 1.41E+0! 0 0 0 0

u3 -1.06E+0! 0 3.21E+0! .2/E-12 -1.06E+0! 0

73 0 0 .2/E-12 1.32E+0! 0 0

u4 0 0 -1.06E+0! 0 2.12E+0! /.66E-12

74 0 0 0 0 /.66E-12 1.41E+0!

u6 -!.31E-2/ -/.66E-12 -!.43E+04 4.0E+04 0 0

76 -/.66E-12 -1.41E+0! 4.0E+04 -3.0!E+04 0 0

u 0 0 -2.6!E-2/ -4.33E-12 0 0

7 0 0 -4.33E-12 -.0E+04 0 0u/ 0 0 -!.43E+04 -4.0E+04 -!.31E-2/ -/.66E-12

7/ 0 0 -4.0E+04 -3.0!E+04 -/.66E-12 -1.41E+0!




10

u2

=

.0E-06 -3.14E-06 4.1E-06 -/.30E-22 2.36E-06 3.14E-06

72 -3.14E-06 4.!E-0! -6.2E-06 3.16E-0! -3.14E-06 1.!E-0!

u3 4.1E-06 -6.2E-06 .43E-06 -1.66E-21 4.1E-06 6.2E-06

73 !.2E-22 3.16E-0! 1.0!E-21 4.6E-0! .3E-22 3.16E-0!

u4 2.36E-06 -3.14E-06 4.1E-06 -6.!3E-22 .0E-06 3.14E-06

74 3.14E-06 1.!E-0! 6.2E-06 3.16E-0! 3.14E-06 4.!E-0!

u6 2.36E-06 -1.1E-0! 4.1E-06 -1.14E-0! 2.36E-06 -!.6!E-06

76 -3.14E-06 4.0!E-0! -6.2E-06 3.16E-0! -3.14E-06 1.!E-0!

u -2.04E-21 6.14E-06 -4.0E-21 -1.64E-20 -2.04E-21 -6.14E-06

7 .3/E-22 2.46E-0! 1.4/E-21 3.2E-0! ./4E-22 2.46E-0!

u/ 2.36E-06 !.6!E-06 4.1E-06 1.14E-0! 2.36E-06 1.1E-0!

7/ 3.14E-06 1.!E-0! 6.2E-06 3.16E-0! 3.14E-06 4.0!E-0!

u2

=

-0.00314311

72 -0.2404!261

u3 -0.0062/6343

73 -0.366!06//

u4 -0.00314311

74 -0.31431146

u6 0.100!323!

76 -0.2404!261

u 0.0/00//

7 -0.302/!66

u/ -0.06/46

7/ -0.31431146

8#r8i$aa$ 8aa subu lokal :

& bata$' a

u1 lokal

=

0 0 u1 'lobal

71 lokal -si$ 0 0 71 'lobal

u2 lokal 0 0 u2 'lobal

72 loka) 0 0 -si$ 72 'lobal

u1 lokal

=

1 0 0 0 0

71 lokal 0 1 0 0 0

u2 lokal 0 0 1 0 -0.003143172 loka) 0 0 0 1 -0.2404!262

u1 lokal 0

71 lokal 0

(os si$

(os

(os si$

(os




11

u2 lokal -0.003143

72 loka) -0.2404!3

& bata$' b

u2 lokal

=

1 0 0 0 u2 'lobal

72 lokal 0 1 0 0 72 'lobal

u3 lokal 0 0 1 0 u3 'lobal

73 loka) 0 0 0 1 73 'lobal

u2 lokal

=

1 0 0 0 -0.0031431

72 lokal 0 1 0 0 -0.2404!262

u3 lokal 0 0 1 0 -0.0062/634

73 loka) 0 0 0 1 -0.366!06/

u2 lokal

=

-0.003143

72 lokal -0.2404!3

u3 lokal -0.0062/6

73 loka) -0.366!0

& bata$' (

u3 lokal

=

1 0 0 0 u3 'lobal

73 lokal 0 1 0 0 73 'lobal

u4 lokal 0 0 1 0 u4 'lobal

74 loka) 0 0 0 1 74 'lobal

u3 lokal

=

1 0 0 0 -0.0062/634

73 lokal 0 1 0 0 -0.366!06/

u4 lokal 0 0 1 0 -0.0031431

74 loka) 0 0 0 1 -0.314311!

u3 lokal

=

-0.0062/6373 lokal -0.366!06

u4 lokal -0.0031432

74 loka) -0.314311

& bata$'

u4 lokal

=

1 0 0 0 u4 'lobal

74 lokal 0 1 0 0 u4 'lobal

u! lokal 0 0 1 0 u! 'lobal

7! loka) 0 0 0 1 7! 'lobal

u4 lokal

=

1 0 0 0 -0.0031431

74 lokal 0 1 0 0 -0.314311!

u! lokal 0 0 1 0 0

7! loka) 0 0 0 1 0




12

u4 lokal

=

-0.0031432

74 lokal -0.31431

u! lokal 0

7! loka) 0

& bata$' #

u2 lokal

=

6.126E-01 1 0 0 u2 'lobal

72 lokal -1 6.126E-01 0 0 72 'lobal

u6 lokal 0 0 6.126E-01 1 u6 'lobal

76 loka) 0 0 -1 6.126E-01 76 'lobal

u2 lokal

=

6.126E-01 1 0 0

72 lokal -1 6.126E-01 0 0

u6 lokal 0 0 6.126E-01 1

76 loka) 0 0 -1 6.126E-01

u2 lokal

=

-0.2404!26

72 lokal 0.0031432

u6 lokal -0.2404!3

76 loka) -0.100!32

& bata$'

u3 lokal

=

-0./ 0.6 0 0 u3 'lobal

73 lokal -0.6 -0./ 0 0 73 'lobal

u6 lokal 0 0 -0./ 0.6 u6 'lobal

76 loka) 0 0 -0.6 -0./ 76 'lobal

u3 lokal

=

-0./ 0.6 0 0 -0.0062/634

73 lokal -0.6 -0./ 0 0 -0.366!06/

u6 lokal 0 0 -0./ 0.6 0.100!323!

76 loka) 0 0 -0.6 -0./ -0.2404!262

u3 lokal

=

-0.214/!1

73 lokal 0.263

u6 lokal -0.2246

76 loka) 0.132042

& bata$' '

u3 lokal

=

6.126E-01 1 0 0

73 lokal -1 6.126E-01 0 0

u lokal 0 0 6.126E-01 17 loka) 0 0 -1 6.126E-01

u3 lokal 6.126E-01 1 0 0

73 lokal -1 6.126E-01 0 0




13

u lokal 0 0 6.126E-01 1

7 loka) 0 0 -1 6.126E-01

u3 lokal

=

-0.366!06

73 lokal 0.0062/63

u lokal -0.302/!/

7 loka) -0.0/0

& bata$'

u3 lokal

=

0./ 0.6 0 0 u3 'lobal

73 lokal -0.6 0./ 0 0 73 'lobal

u/ lokal 0 0 0./ 0.6 u/ 'lobal

7/ loka) 0 0 -0.6 0./ 7/ 'lobal

u3 lokal

=

0./ 0.6 0 0 -0.0062/634

73 lokal -0.6 0./ 0 0 -0.366!06/

u/ lokal 0 0 0./ 0.6 -0.06/46/

7/ loka) 0 0 -0.6 0./ -0.314311!

u3 lokal

=

-0.224332

73 lokal -0.2/434

u/ lokal -0.244!/

7/ loka) -0.20463

& bata$' i

u4 lokal

=

6.126E-01 1 0 0

74 lokal -1 6.126E-01 0 0

u/ lokal 0 0 6.126E-01 1

7/ loka) 0 0 -1 6.126E-01

u4 lokal

=

6.126E-01 1 0 0

74 lokal -1 6.126E-01 0 0u/ lokal 0 0 6.126E-01 1

7/ loka) 0 0 -1 6.126E-01

u4 lokal

=

-0.314311

74 lokal 0.0031432

u/ lokal -0.31431

7/ loka) 0.06/4

& bata$' j

u1 lokal

=

0./ 0.6 0 0 u1 'lobal71 lokal -0.6 0./ 0 0 71 'lobal

u6 lokal 0 0 0./ 0.6 u6 'lobal

76 loka) 0 0 -0.6 0./ 76 'lobal




14

u1 lokal

=

0./ 0.6 0 0 0

71 lokal -0.6 0./ 0 0 0

u6 lokal 0 0 0./ 0.6 0.100!323!

76 loka) 0 0 -0.6 0./ -0.2404!262

u1 lokal

=

0

71 lokal 0

u6 lokal -0.063/46

76 loka) -0.2!26/2

& bata$' k

u6 lokal

=

0./ 0.6 0 0 u6 'lobal

76 loka) -0.6 0./ 0 0 76 'lobal

u lokal 0 0 0./ 0.6 u 'lobal

7 lokal 0 0 -0.6 0./ 7 'lobal

u6 lokal

=

0./ 0.6 0 0 0.100!323!

76 loka) -0.6 0./ 0 0 -0.2404!262

u lokal 0 0 0./ 0.6 0.0/00//

7 lokal 0 0 -0.6 0./ -0.302/!6

u6 lokal

=

-0.063/4!

76 loka) -0.2!26/1!

u lokal -0.11/6/

7 lokal -0.20104

& bata$' l

u lokal

=

0./ -0.6 0 0 u 'lobal

7 loka) 0.6 0./ 0 0 7 'lobal

u/ lokal 0 0 0./ -0.6 u/ 'lobal

7/ lokal 0 0 0.6 0./ 7/ 'lobal

u lokal

=

0./ -0.6 0 0 0.0/00//

7 loka) 0.6 0./ 0 0 -0.302/!6

u/ lokal 0 0 0./ -0.6 -0.06/46/

7/ lokal 0 0 0.6 0./ -0.314311!

u lokal

=

0.24!!602

7 loka) -0.14401

u/ lokal 0.132602!!

7/ lokal -0.23444!

& bata$'

u! lokal

=

-0./ 0.6 0 0 u! 'lobal

7! loka) -0.6 -0./ 0 0 7! 'lobal

u/ lokal 0 0 -0./ 0.6 u/ 'lobal




1!

7/ lokal 0 0 -0.6 -0./ 7/ 'lobal

u! lokal

=

-0./ 0.6 0 0 0

7! loka) -0.6 -0./ 0 0 0

u/ lokal 0 0 -0./ 0.6 -0.06/46/

7/ lokal 0 0 -0.6 -0./ -0.314311!

u! lokal

=

0

7! loka) 0

u/ lokal -0.132603

7/ lokal 0.23444!

;a%a ala 'a%a bata$'

'a%a bata$' a :

91= E")a

1 -1 u1 lokal

92 -1 1 u2 lokal

91= 1.06E+0!

1 -1 0

92 -1 1 -0.003143

91=

1.06E+0! -1.06E+0! 0

92 -1.06E+0! 1.06E+0! -0.003143

91=

333.33333 k'

92 -333.3333 k'

'a%a bata$' b :

92= 1.06E+0!

1 -1 -0.003143

93 -1 1 -0.0062/6

92=

1.06E+0! -1.06E+0! -0.003143

93 -1.06E+0! 1.06E+0! -0.0062/6

92=

333.33333 k'

93 -333.3333 k'

'a%a bata$' ( :

93= 1.06E+0!

1 -1 -0.0062/6

94 -1 1 -0.003143

93=

1.06E+0! -1.06E+0! -0.0062/6

94 -1.06E+0! 1.06E+0! -0.003143

93 -333.3333 k'




16

94 333.33333 k'

'a%a bata$' :

94= 1.06E+0!

1 -1 -0.003143

9! -1 1 0

94=

1.06E+0! -1.06E+0! -0.003143

9! -1.06E+0! 1.06E+0! 0

94=

-333.3333 k'

9! 333.33333 k'

'a%a bata$' # :

92= 1.41E+0!

1 -1 -0.2404!3

96 -1 1 -0.2404!3

92=

1.41E+0! -1.41E+0! -0.2404!3

96 -1.41E+0! 1.41E+0! -0.2404!3

92=

0 k'

96 0 k'

'a%a bata$' :

93 = /.4/E+04 1 -1 -0.214/!96 -1 1 -0.2246

93=

/.4/E+04 -/.4/E+04 -0.214/!

96 -/.4/E+04 /.4/E+04 -0.2246

93=

/33.33333 k'

96 -/33.3333 k'

'a%a bata$' ' :

93 = .0E+04 1 -1 -0.366!09 -1 1 -0.302/!/

93=

.0E+04 -.0E+04 -0.366!0

9 -.0E+04 .0E+04 -0.302/!/




1

93

=

-4!00 k'

9 4!00 k'

'a%a bata$' :

93= /.4/E+04

1 -1 -0.22433

9/ -1 1 -0.244!/

93=

/.4/E+04 -/.4/E+04 -0.22433

9/ -/.4/E+04 /.4/E+04 -0.244!/

93=

1666.666 k'

9/ -1666.66 k'

'a%a bata$' i :

94= 1.41E+0!

1 -1 -0.31431

9/ -1 1 -0.31431

94=

1.41E+0! -1.41E+0! -0.31431

9/ -1.41E+0! 1.41E+0! -0.31431

94=

0

9/ 0

'a%a bata$' j :

91= /.4/E+04

1 -1 0

96 -1 1 -0.063/46

91=

/.4/E+04 -/.4/E+04 0

96 -/.4/E+04 /.4/E+04 -0.063/46

91=

!416.666 k'

96 -!416.66 k'

'a%a bata$' k :

96= /.4/E+04

1 -1 -0.063/46

9 -1 1 -0.11/6




1/

96=

/.4/E+04 -/.4/E+04 -0.063/46

9 -/.4/E+04 /.4/E+04 -0.11/6

96=

4!/3.3333 k'

9 -4!/3.333 k'

'a%a bata$' l :

96= /.4/E+04

1 -1 0.24!!603

9 -1 1 0.132602!

96=

/.4/E+04 -/.4/E+04 0.24!!603

9 -/.4/E+04 /.4/E+04 0.132602!

96=

!/3.3333 k'

9 -!/3.333 k'

'a%a bata$' :

9!= /.4/E+04

1 -1 0

9/ -1 1 -0.132603

9!=

/.4/E+04 -/.4/E+04 0

9/ -/.4/E+04 /.4/E+04 -0.132603

9!=

112!0 k'

9/ -112!0 k'

<#aksi u8ua$ :

1

=

ka11+kj11 ka12 0

2 ka21 ka22+kb11+k#11 kb12

3 0 kb21 kb22+k(11+k11+k'11+k11 k(

4 0 0 k(21 k(22+k

! 0 0 0 k

6 kj21 k#21 k21

0 0 k'21/ 0 0 k21 ki

91 1.60E+0! 4.0E+04 -1.06E+0! 0 0 0




1

9%1

=

4.0E+04 3.0!E+04 0 0 0 0

92 -1.06E+0! 0 2.12E+0! /.66E-12 -1.06E+0! 0

9%2 0 0 /.66E-12 1.41E+0! 0 0

93 0 0 -1.06E+0! 0 3.21E+0! .2/E-12

9%3 0 0 0 0 .2/E-12 1.32E+0!

94 0 0 0 0 -1.06E+0! 0

9%4 0 0 0 0 0 0

9! 0 0 0 0 0 0

9%! 0 0 0 0 0 0

96 -!.43E+04 -4.0E+04 -!.31E-2/ -/.66E-12 -!.43E+04 4.0E+04

9%6 -4.0E+04 -3.0!E+04 -/.66E-12 -1.41E+0! 4.0E+04 -3.0!E+04

9 0 0 0 0 -2.6!E-2/ -4.33E-12

9% 0 0 0 0 -4.33E-12 -.0E+04

9/ 0 0 0 0 -!.43E+04 -4.0E+04

9%/ 0 0 0 0 -4.0E+04 -3.0!E+04

91

=

1.60E+0! 4.0E+04 -1.06E+0! 0 0 0

9%1 4.0E+04 3.0!E+04 0 0 0 0

92 -1.06E+0! 0 2.12E+0! /.66E-12 -1.06E+0! 0

9%2 0 0 /.66E-12 1.41E+0! 0 0

93 0 0 -1.06E+0! 0 3.21E+0! .2/E-12

9%3 0 0 0 0 .2/E-12 1.32E+0!

94 0 0 0 0 -1.06E+0! 0

9%4 0 0 0 0 0 0

9! 0 0 0 0 0 0

9%! 0 0 0 0 0 0

96 -!.43E+04 -4.0E+04 -!.31E-2/ -/.66E-12 -!.43E+04 4.0E+04

9%6 -4.0E+04 -3.0!E+04 -/.66E-12 -1.41E+0! 4.0E+04 -3.0!E+04

9 0 0 0 0 -2.6!E-2/ -4.33E-12

9% 0 0 0 0 -4.33E-12 -.0E+04

9/0 0 0 0 -!.43E+04 -4.0E+04

9%/ 0 0 0 0 -4.0E+04 -3.0!E+04

91

=

466

9%1 32!0

92 0

9%2 0

93 0

9%3 -300094 0

9%4 0

9! -/66

9%! 6!0 S.1 , ;//<

S1




20

96 0

9%6 -1000

9 4000

9% -4000

9/ 0 ko$trol :

9%/ -2000 %

0 0

<#ka8itulasi >asil P#ritu$'a$

Bata$' 9uut ?o. "@al ?o. "kir ;a%a Bata$' #ka$ arik

a 0 1 2 333.33

b 0 2 3 333.33

( 0 3 4 333.33

0 4 ! 333.33

# 0 2 6 0

143.13 3 6 /33.33

' 0 3 4!00

36./ 3 / 1666.6

i 0 4 / 0

j 36./ 1 6 !416.6

k 36./ 6 4!/3.33

l 323.13 / !/3.33

143.13 ! / 112!0




21

0

1

1

0

0

0

2

2.00E+02 (

'!# "o3#+ %a&a *aat+ta!# *aat *#+akuka a*a

2 R'ak!#$:a!#$ %ata$

5

$




22

0

1

1

0

0

0

2

2.00E+02 (

0

1

1

0

00

2

2.00E+02 (




23

0

1

1

0

0

02

2.00E+02 (

0

6.126E-01

3.!2E-033

1

1

6.126E-01

1.!

1.!0E+02 (




24

143.13

-0./

0.640.6

0.36

-0.4/

2.!

2.!0E+02 (

0

6.126E-01

3.!2E-033

1

1

6.126E-01

3

3.00E+02 (




2!

36./

0./

0.64

0.6

0.36

0.4/

2.!

2.!0E+02 (

0

0

0

1

1

6.126E-01

1.!

1.!0E+02 (




26

36./

0./

0.64

0.6

0.36

0.4/

2.!

2.!0E+02 (

36./

0./

0.64

0.6

0.360.4/

2.!

2.!0E+02 (




2

323.13

0./

0.64

-0.6

0.36

-0.4/

2.! 2.!0E+02 (

143.13

-0./

0.64

0.6

0.36

-0.4/

2.!




2/

2.!0E+02 (

12./

0 kj12 0 0

0 k#12 0 0

12 0 k12 k'12 k12

11+ki11 k12 0 0 ki12

21 k22+k11 0 0 k12

0 k#22+k22+kj22+kk11 kk12 0

0 kk21 k'22+kk22+kl11 kl12

1 k21 0 kl21 k22+ki22+kl22+k22

0 0 0 0 -!.43E+04 -4.0E+04 0 0

0 0 0 0 -4.0E+04 -3.0!E+04 0 0

0 0 0 0 -!.31E-2/ -/.66E-12 0 0

0 0 0 0 -/.66E-12 -1.41E+0! 0 0




2

-1.06E+0! 0 0 0 -!.43E+04 4.0E+04 -2.6!E-2/ -4.33E-12

0 0 0 0 4.0E+04 -3.0!E+04 -4.33E-12 -.0E+04

2.12E+0! /.66E-12 -1.06E+0! 0 0 0 0 0

/.66E-12 1.41E+0! 0 0 0 0 0 0

-1.06E+0! 0 1.60E+0! -4.0E+04 0 0 0 0

0 0 -4.0E+04 3.0!E+04 0 0 0 0

0 0 0 0 1.63E+0! 4.0E+04 -!.43E+04 -4.0E+04

0 0 0 0 4.0E+04 2.33E+0! -4.0E+04 -3.0!E+04

0 0 0 0 -!.43E+04 -4.0E+04 1.0E+0! 0.00E+00

0 0 0 0 -4.0E+04 -3.0!E+04 0.00E+00 1.32E+0!

-!.31E-2/ -/.66E-12 -!.43E+04 4.0E+04 0 0 -!.43E+04 4.0E+04

-/.66E-12 -1.41E+0! 4.0E+04 -3.0!E+04 0 0 4.0E+04 -3.0!E+04

-!.31E-2/ -/.66E-12 0 0 0 0 u2

-/.66E-12 -1.41E+0! 0 0 0 0 72

-!.43E+04 4.0E+04 -2.6!E-2/ -4.33E-12 -!.43E+04 -4.0E+04 u3

4.0E+04 -3.0!E+04 -4.33E-12 -.0E+04 -4.0E+04 -3.0!E+04 73

0 0 0 0 -!.31E-2/ -/.66E-12 u4

0 0 0 0 -/.66E-12 -1.41E+0! 74

1.63E+0! 4.0E+04 -!.43E+04 -4.0E+04 0 0 u6

4.0E+04 2.33E+0! -4.0E+04 -3.0!E+04 0 0 76

-!.43E+04 -4.0E+04 1.0E+0! 0.00E+00 -!.43E+04 4.0E+04 u

-4.0E+04 -3.0!E+04 0.00E+00 1.32E+0! 4.0E+04 -3.0!E+04 7

0 0 -!.43E+04 4.0E+04 1.63E+0! -4.0E+04 u/

0 0 4.0E+04 -3.0!E+04 -4.0E+04 2.33E+0! 7/

-!.31E-2/ -/.66E-12 0 0 0 0 -1 92

-/.66E-12 -1.41E+0! 0 0 0 0 9%2

-!.43E+04 4.0E+04 -2.6!E-2/ -4.33E-12 -!.43E+04 -4.0E+04 93

4.0E+04 -3.0!E+04 -4.33E-12 -.0E+04 -4.0E+04 -3.0!E+04 9%3

0 0 0 0 -!.31E-2/ -/.66E-12 94

0 0 0 0 -/.66E-12 -1.41E+0! 9%4

1.63E+0! 4.0E+04 -!.43E+04 -4.0E+04 0 0 96

4.0E+04 2.33E+0! -4.0E+04 -3.0!E+04 0 0 9%6

-!.43E+04 -4.0E+04 1.0E+0! 0.00E+00 -!.43E+04 4.0E+04 9

-4.0E+04 -3.0!E+04 0.00E+00 1.32E+0! 4.0E+04 -3.0!E+04 9%0 0 -!.43E+04 4.0E+04 1.63E+0! -4.0E+04 9/

0 0 4.0E+04 -3.0!E+04 -4.0E+04 2.33E+0! 9%/




30

2.36E-06 -3.14E-06 -1.66E-21 1.66E-21 2.36E-06 3.14E-06 0

-1.1E-0! 4.0!E-0! 6.14E-06 2.46E-0! !.6!E-06 1.!E-0! 0

4.1E-06 -6.2E-06 -3.32E-21 3.32E-21 4.1E-06 6.2E-06 0

-1.14E-0! 3.16E-0! -1./E-20 3.2E-0! 1.14E-0! 3.16E-0! -3000

2.36E-06 -3.14E-06 -1.63E-21 1.31E-21 2.36E-06 3.14E-06 0

-!.6!E-06 1.!E-0! -6.14E-06 2.46E-0! 1.1E-0! 4.0!E-0! 0

1.36E-0! -1.1E-0! 4.60E-06 -6.14E-06 3.6/E-0 -!.6!E-06 0

-1.1E-0! 4.0!E-0! 6.14E-06 2.46E-0! !.6!E-06 1.!E-0! -1000

4.60E-06 6.14E-06 1./4E-0! -1.36E-20 4.60E-06 -6.14E-06 4000

-6.14E-06 2.46E-0! -1.!E-20 3.2E-0! 6.14E-06 2.46E-0! -4000

3.6/E-0 !.6!E-06 4.60E-06 6.14E-06 1.36E-0! 1.1E-0! 0

-!.6!E-06 1.!E-0! -6.14E-06 2.46E-0! 1.1E-0! 4.0!E-0! -2000

ko$trol :

0.00

0.00

0.00

-3000.00

0.00

0.00

0.00

-1000.00

4000.00

-4000.00

0.00

-2000.00




31




32

-0.0031431

-0.2404!262

0.100!323!

-0.2404!262

u3 'lobal

73 'lobal

u 'lobal7 'lobal

-0.0062/634

-0.366!06/




33

0.0/00//

-0.302/!6

u4 'lobal

74 'lobal

u/ 'lobal

7/ 'lobal

-0.0031431

-0.314311!-0.06/46/

-0.314311!




34




3!




36




3




3/

0 kj12 0 0

0 k#12 0 0

12 0 k12 k'12 k12

11+ki11 k12 0 0 ki12

21 k22+k11 0 0 k12

0 k#22+k22+kj22+kk11 kk12 0

0 kk21 k'22+kk22+kl11 kl121 k21 0 kl21 k22+ki22+kl22+k22

0 0 0 0 -!.43E+04 -4.0E+04 0 0




3

0 0 0 0 -4.0E+04 -3.0!E+04 0 0

0 0 0 0 -!.31E-2/ -/.66E-12 0 0

0 0 0 0 -/.66E-12 -1.41E+0! 0 0

-1.06E+0! 0 0 0 -!.43E+04 4.0E+04 -2.6!E-2/ -4.33E-12

0 0 0 0 4.0E+04 -3.0!E+04 -4.33E-12 -.0E+04

2.12E+0! /.66E-12 -1.06E+0! 0 0 0 0 0

/.66E-12 1.41E+0! 0 0 0 0 0 0

-1.06E+0! 0 1.60E+0! -4.0E+04 0 0 0 0

0 0 -4.0E+04 3.0!E+04 0 0 0 0

0 0 0 0 1.63E+0! 4.0E+04 -!.43E+04 -4.0E+04

0 0 0 0 4.0E+04 2.33E+0! -4.0E+04 -3.0!E+04

0 0 0 0 -!.43E+04 -4.0E+04 1.0E+0! 0.00E+00

0 0 0 0 -4.0E+04 -3.0!E+04 0.00E+00 1.32E+0!

-!.31E-2/ -/.66E-12 -!.43E+04 4.0E+04 0 0 -!.43E+04 4.0E+04

-/.66E-12 -1.41E+0! 4.0E+04 -3.0!E+04 0 0 4.0E+04 -3.0!E+04

0 0 0 0 -!.43E+04 -4.0E+04 0 0

0 0 0 0 -4.0E+04 -3.0!E+04 0 0

0 0 0 0 -!.31E-2/ -/.66E-12 0 0

0 0 0 0 -/.66E-12 -1.41E+0! 0 0

-1.06E+0! 0 0 0 -!.43E+04 4.0E+04 -2.6!E-2/ -4.33E-12

0 0 0 0 4.0E+04 -3.0!E+04 -4.33E-12 -.0E+04

2.12E+0! /.66E-12 -1.06E+0! 0 0 0 0 0

/.66E-12 1.41E+0! 0 0 0 0 0 0

-1.06E+0! 0 1.60E+0! -4.0E+04 0 0 0 0

0 0 -4.0E+04 3.0!E+04 0 0 0 0

0 0 0 0 1.63E+0! 4.0E+04 -!.43E+04 -4.0E+04

0 0 0 0 4.0E+04 2.33E+0! -4.0E+04 -3.0!E+04

0 0 0 0 -!.43E+04 -4.0E+04 1.0E+0! 0.00E+00

0 0 0 0 -4.0E+04 -3.0!E+04 0.00E+00 1.32E+0!

-!.31E-2/ -/.66E-12 -!.43E+04 4.0E+04 0 0 -!.43E+04 4.0E+04

-/.66E-12 -1.41E+0! 4.0E+04 -3.0!E+04 0 0 4.0E+04 -3.0!E+04

a % *

&

k

)

L

$

'3 4

#

/

<

=

81 , 1000 k$

82 , ;000 k$

85 , ;000 k$

, 9250 k$S5 , /<50

S.5 , =//<

89 , 2000 k$

S./ , 0 S.= , 0




40

19

58; , 9000 k$




41




42




43




44




4!




46




4




4/

1

2

3

4!

6

/

0 0 u1

0 0 71

0 0 u2

0 0 72




4

-!.43E+04 -4.0E+04 u3

-4.0E+04 -3.0!E+04 73

-!.31E-2/ -/.66E-12 u4

-/.66E-12 -1.41E+0! 74

-!.43E+04 4.0E+04 u!

4.0E+04 -3.0!E+04 7!

0 0 u6

0 0 76

-!.43E+04 4.0E+04 u

4.0E+04 -3.0!E+04 7

1.63E+0! -4.0E+04 u/

-4.0E+04 2.33E+0! 7/




!0




!1




!2




!3




!4




!!




!6




!




!/

1

2

3

4

!

6

/

0 0 u1




!

0 0 71

0 0 u2

0 0 72

-!.43E+04 -4.0E+04 u3

-4.0E+04 -3.0!E+04 73

-!.31E-2/ -/.66E-12 u4

-/.66E-12 -1.41E+0! 74

-!.43E+04 4.0E+04 u!

4.0E+04 -3.0!E+04 7!

0 0 u6

0 0 76

-!.43E+04 4.0E+04 u

4.0E+04 -3.0!E+04 7

1.63E+0! -4.0E+04 u/

-4.0E+04 2.33E+0! 7/

0 0 0

0 0 0

0 0 -3.14E-03

0 0 -2.40E-01

-!.43E+04 -4.0E+04 -6.2E-03

-4.0E+04 -3.0!E+04 -3.6E-01

-!.31E-2/ -/.66E-12 -3.14E-03

-/.66E-12 -1.41E+0! -3.14E-01

-!.43E+04 4.0E+04 0

4.0E+04 -3.0!E+04 0

0 0 0.100!32

0 0 -0.2404!3

-!.43E+04 4.0E+04 0.0/0

4.0E+04 -3.0!E+04 -0.302/!/

1.63E+0! -4.0E+04-0.06/!-4.0E+04 2.33E+0! -0.31431




60




61




62




63




64




6!




66




6




6/




6




0




1




2




3




4




!




6




/

Tugas Besar Matrik Fitria

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Transcript of Tugas Besar Matrik Fitria