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NIM 4 0 5 2 4 OK A 6 m
B 12 m
Beban
Beban Merata q = 8 N!m
Beban T#t# $ = 15 N
M%&'' Geer G = *800000
M%&'' +at##ta + = 2"500000
-= 0.1*8*,*5*18
Data $enam/an Batan
Member b(m) (m) b(m) (m)
1 60 80 0.6 0.8 0.014 0.026
2 40 60 0.4 0.6 0.00" 0.00,
" 40 60 0.4 0.6 0.00" 0.00,
4 60 80 0.6 0.8 0.014 0.026
5 40 60 0.4 0.6 0.00" 0.00,
6 40 60 0.4 0.6 0.00" 0.00,
, 60 80 0.6 0.8 0.014 0.026
8 40 60 0.4 0.6 0.00" 0.00,
* 40 60 0.4 0.6 0.00" 0.00,
10 60 80 0.6 0.8 0.014 0.02611 40 60 0.4 0.6 0.00" 0.00,
12 40 60 0.4 0.6 0.00" 0.00,
1" 60 80 0.6 0.8 0.014 0.026
DATA NODAL
+emen N%&a # N%&a 3
1 4 1 teta (4) teta (4) 4 teta (1) teta (1) 1
2 2 1 teta (2) teta (2) 2 teta (1) teta (1) 1
N!m2
N!m2
I (m4) I (m4)
θ#
θ#
#
θ 3
θ 3
3
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" 2 " teta (2) teta (2) 2 teta (") teta (") "
4 5 " teta (5) teta (5) 5 teta (") teta (") "
5 4 2 teta (4) teta (4) 4 teta (2) teta (2) 2
6 5 2 teta (5) teta (5) 5 teta (2) teta (2) 2
, 4 5 teta (4) teta (4) 4 teta (5) teta (5) 5
8 , 4 teta (,) teta (,) , teta (4) teta (4) 4
* , 5 teta (,) teta (,) , teta (5) teta (5) 5
10 6 4 teta (6) teta (6) 6 teta (4) teta (4) 4
11 6 , teta (6) teta (6) 6 teta (,) teta (,) ,
12 8 , teta (8) teta (8) 8 teta (,) teta (,) ,
1" 8 5 teta (8) teta (8) 8 teta (5) teta (5) 5
MATRIK7 TRAN7ORMA7I 9T:
1
teta (4) teta (4) 4 teta (1) teta (1) 1
teta (4) 1.00 0.00 0.00 0 0 0
teta (4) 0.00 1.00 0 0 0 0
4 0 0 1 0 0 0
teta (1) 0 0 0 1.00 0.00 0.00
teta (1) 0 0 0 0.00 1.00 0.00
1 0 0 0 0.00 0.00 1.00
2
teta (2) teta (2) 2 teta (1) teta (1) 1
teta (2) 0.,1 ;0.,1 0.00 0 0 0teta (2) 0.,1 0.,1 0 0 0 0
2 0 0 1 0 0 0
teta (1) 0 0 0 0.,1 ;0.,1 0.00
teta (1) 0 0 0 0.,1 0.,1 0.00
1 0 0 0 0.00 0.00 1.00
teta (2) teta (2) 2 teta (") teta (") "
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"teta (2) 0.,1 0.,1 0.00 0 0 0
teta (2) ;0.,1 0.,1 0 0 0 0
2 0 0 1 0 0 0
teta (") 0 0 0 0.,1 0.,1 0.00
teta (") 0 0 0 ;0.,1 0.,1 0.00
" 0 0 0 0.00 0.00 1.00
4
teta (5) teta (5) 5 teta (") teta (") "
teta (5) 1.00 0.00 0.00 0 0 0
teta (5) 0.00 1.00 0 0 0 0
5 0 0 1 0 0 0teta (") 0 0 0 1.00 0.00 0.00
teta (") 0 0 0 0.00 1.00 0.00
" 0 0 0 0.00 0.00 1.00
5
teta (4) teta (4) 4 teta (2) teta (2) 2
teta (4) 0.,1 0.,1 0.00 0 0 0
teta (4) ;0.,1 0.,1 0 0 0 0
4 0 0 1 0 0 0
teta (2) 0 0 0 0.,1 0.,1 0.00
teta (2) 0 0 0 ;0.,1 0.,1 0.00
2 0 0 0 0.00 0.00 1.00
6
teta (5) teta (5) 5 teta (2) teta (2) 2
teta (5) 0.,1 ;0.,1 0.00 0 0 0
teta (5) 0.,1 0.,1 0 0 0 0
5 0 0 1 0 0 0
teta (2) 0 0 0 0.,1 ;0.,1 0.00
teta (2) 0 0 0 0.,1 0.,1 0.00
2 0 0 0 0.00 0.00 1.00
teta (4) teta (4) 4 teta (5) teta (5) 5
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,
teta (4) 0.00 1.00 0.00 0 0 0
teta (4) ;1.00 0.00 0 0 0 0
4 0 0 1 0 0 0
teta (5) 0 0 0 0.00 1.00 0.00
teta (5) 0 0 0 ;1.00 0.00 0.00
5 0 0 0 0.00 0.00 1.00
8
teta (,) teta (,) , teta (4) teta (4) 4
teta (,) 0.,1 ;0.,1 0.00 0 0 0
teta (,) 0.,1 0.,1 0 0 0 0
, 0 0 1 0 0 0teta (4) 0 0 0 0.,1 ;0.,1 0.00
teta (4) 0 0 0 0.,1 0.,1 0.00
4 0 0 0 0.00 0.00 1.00
*
teta (,) teta (,) , teta (5) teta (5) 5
teta (,) 0.,1 0.,1 0.00 0 0 0
teta (,) ;0.,1 0.,1 0 0 0 0
, 0 0 1 0 0 0
teta (5) 0 0 0 0.,1 0.,1 0.00
teta (5) 0 0 0 ;0.,1 0.,1 0.00
5 0 0 0 0.00 0.00 1.00
10
teta (6) teta (6) 6 teta (4) teta (4) 4
teta (6) 1.00 0.00 0.00 0 0 0teta (6) 0.00 1.00 0 0 0 0
6 0 0 1 0 0 0
teta (4) 0 0 0 1.00 0.00 0.00
teta (4) 0 0 0 0.00 1.00 0.00
4 0 0 0 0.00 0.00 1.00
teta (6) teta (6) 6 teta (,) teta (,) ,
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11
teta (6) 0.,1 0.,1 0.00 0 0 0
teta (6) ;0.,1 0.,1 0 0 0 0
6 0 0 1 0 0 0
teta (,) 0 0 0 0.,1 0.,1 0.00
teta (,) 0 0 0 ;0.,1 0.,1 0.00
, 0 0 0 0.00 0.00 1.00
12
teta (8) teta (8) 8 teta (,) teta (,) ,
teta (8) 0.,1 ;0.,1 0.00 0 0 0
teta (8) 0.,1 0.,1 0 0 0 0
8 0 0 1 0 0 0teta (,) 0 0 0 0.,1 ;0.,1 0.00
teta (,) 0 0 0 0.,1 0.,1 0.00
, 0 0 0 0.00 0.00 1.00
1"
teta (8) teta (8) 8 teta (5) teta (5) 5
teta (8) 1.00 0.00 0.00 0 0 0
teta (8) 0.00 1.00 0 0 0 0
8 0 0 1 0 0 0
teta (5) 0 0 0 1.00 0.00 0.00
teta (5) 0 0 0 0.00 1.00 0.00
5 0 0 0 0.00 0.00 1.00
MATRIK7 K+KAK
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2
teta (2) teta (2) 2 teta (1) teta (1) 1
teta (2) 88861.5" ,0661.,6 ;"*880.82 "0,80.*4 48*80.,0 "*880.82
teta (2) ,0661.,6 88861.5" ;"*880.82 48*80.,0 "0,80.*4 "*880.82
2 ;"*880.82 ;"*880.82 2658,.21 ;"*880.82 ;"*880.82 ;2658,.21
teta (1) "0,80.*4 48*80.,0 ;"*880.82 88861.5" ,0661.,6 "*880.82
teta (1) 48*80.,0 "0,80.*4 ;"*880.82 ,0661.,6 88861.5" "*880.82
1 "*880.82 "*880.82 ;2658,.21 "*880.82 "*880.82 2658,.21
"
teta (2) teta (2) 2 teta (") teta (") "
teta (2) 88861.5" ;,0661.,6 "*880.82 "0,80.*4 ;48*80.,0 ;"*880.82
teta (2) ;,0661.,6 88861.5" ;"*880.82 ;48*80.,0 "0,80.*4 "*880.82
2 "*880.82 ;"*880.82 2658,.21 "*880.82 ;"*880.82 ;2658,.21
teta (") "0,80.*4 ;48*80.,0 "*880.82 88861.5" ;,0661.,6 ;"*880.82
teta (") ;48*80.,0 "0,80.*4 ;"*880.82 ;,0661.,6 88861.5" "*880.82
" ;"*880.82 "*880.82 ;2658,.21 ;"*880.82 "*880.82 2658,.21
4
teta (5) teta (5) 5 teta (") teta (") "
teta (5) 4,*,4.42 0.00 0.00 ;4,*,4.42 0.00 0.00
teta (5) 0.00 401066.6, ;100266.6, 0.00 2005""."" 100266.6,
5 0.00 ;100266.6, ""422.22 0.00 ;100266.6, ;""422.22
teta (") ;4,*,4.42 0.00 0.00 4,*,4.42 0.00 0.00
teta (") 0.00 2005""."" ;100266.6, 0.00 401066.6, 100266.6," 0.00 100266.6, ;""422.22 0.00 100266.6, ""422.22
5
teta (4) teta (4) 4 teta (2) teta (2) 2
teta (4) 88861.5" ;,0661.,6 "*880.82 "0,80.*4 ;48*80.,0 ;"*880.82
teta (4) ;,0661.,6 88861.5" ;"*880.82 ;48*80.,0 "0,80.*4 "*880.82
4 "*880.82 ;"*880.82 2658,.21 "*880.82 ;"*880.82 ;2658,.21
teta (2) "0,80.*4 ;48*80.,0 "*880.82 88861.5" ;,0661.,6 ;"*880.82
teta (2) ;48*80.,0 "0,80.*4 ;"*880.82 ;,0661.,6 88861.5" "*880.82
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2 ;"*880.82 "*880.82 ;2658,.21 ;"*880.82 "*880.82 2658,.21
6
teta (5) teta (5) 5 teta (2) teta (2) 2
teta (5) 88861.5" ,0661.,6 ;"*880.82 "0,80.*4 48*80.,0 "*880.82
teta (5) ,0661.,6 88861.5" ;"*880.82 48*80.,0 "0,80.*4 "*880.82
5 ;"*880.82 ;"*880.82 2658,.21 ;"*880.82 ;"*880.82 ;2658,.21
teta (2) "0,80.*4 48*80.,0 ;"*880.82 88861.5" ,0661.,6 "*880.82
teta (2) 48*80.,0 "0,80.*4 ;"*880.82 ,0661.,6 88861.5" "*880.82
2 "*880.82 "*880.82 ;2658,.21 "*880.82 "*880.82 2658,.21
,
teta (4) teta (4) 4 teta (5) teta (5) 5
teta (4) 401066.6, 0.00 100266.6, 2005""."" 0.00 ;100266.6,
teta (4) 0.00 4,*,4.42 0.00 0.00 ;4,*,4.42 0.00
4 100266.6, 0.00 ""422.22 100266.6, 0.00 ;""422.22
teta (5) 2005""."" 0.00 100266.6, 401066.6, 0.00 ;100266.6,
teta (5) 0.00 ;4,*,4.42 0.00 0.00 4,*,4.42 0.00
5 ;100266.6, 0.00 ;""422.22 ;100266.6, 0.00 ""422.22
8
teta (,) teta (,) , teta (4) teta (4) 4
teta (,) 88861.5" ,0661.,6 ;"*880.82 "0,80.*4 48*80.,0 "*880.82
teta (,) ,0661.,6 88861.5" ;"*880.82 48*80.,0 "0,80.*4 "*880.82
, ;"*880.82 ;"*880.82 2658,.21 ;"*880.82 ;"*880.82 ;2658,.21
teta (4) "0,80.*4 48*80.,0 ;"*880.82 88861.5" ,0661.,6 "*880.82
teta (4) 48*80.,0 "0,80.*4 ;"*880.82 ,0661.,6 88861.5" "*880.82
4 "*880.82 "*880.82 ;2658,.21 "*880.82 "*880.82 2658,.21
*
teta (,) teta (,) , teta (5) teta (5) 5
teta (,) 88861.5" ;,0661.,6 "*880.82 "0,80.*4 ;48*80.,0 ;"*880.82
teta (,) ;,0661.,6 88861.5" ;"*880.82 ;48*80.,0 "0,80.*4 "*880.82
, "*880.82 ;"*880.82 2658,.21 "*880.82 ;"*880.82 ;2658,.21
teta (5) "0,80.*4 ;48*80.,0 "*880.82 88861.5" ;,0661.,6 ;"*880.82
teta (5) ;48*80.,0 "0,80.*4 ;"*880.82 ;,0661.,6 88861.5" "*880.82
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5 ;"*880.82 "*880.82 ;2658,.21 ;"*880.82 "*880.82 2658,.21
10
teta (6) teta (6) 6 teta (4) teta (4) 4
teta (6) 4,*,4.42 0.00 0.00 ;4,*,4.42 0.00 0.00
teta (6) 0.00 401066.6, ;100266.6, 0.00 2005""."" 100266.6,
6 0.00 ;100266.6, ""422.22 0.00 ;100266.6, ;""422.22
teta (4) ;4,*,4.42 0.00 0.00 4,*,4.42 0.00 0.00
teta (4) 0.00 2005""."" ;100266.6, 0.00 401066.6, 100266.6,
4 0.00 100266.6, ;""422.22 0.00 100266.6, ""422.22
11
teta (6) teta (6) 6 teta (,) teta (,) ,
teta (6) 88861.5" ;,0661.,6 "*880.82 "0,80.*4 ;48*80.,0 ;"*880.82
teta (6) ;,0661.,6 88861.5" ;"*880.82 ;48*80.,0 "0,80.*4 "*880.82
6 "*880.82 ;"*880.82 2658,.21 "*880.82 ;"*880.82 ;2658,.21
teta (,) "0,80.*4 ;48*80.,0 "*880.82 88861.5" ;,0661.,6 ;"*880.82
teta (,) ;48*80.,0 "0,80.*4 ;"*880.82 ;,0661.,6 88861.5" "*880.82
, ;"*880.82 "*880.82 ;2658,.21 ;"*880.82 "*880.82 2658,.21
12
teta (8) teta (8) 8 teta (,) teta (,) ,
teta (8) 88861.5" ,0661.,6 ;"*880.82 "0,80.*4 48*80.,0 "*880.82
teta (8) ,0661.,6 88861.5" ;"*880.82 48*80.,0 "0,80.*4 "*880.82
8 ;"*880.82 ;"*880.82 2658,.21 ;"*880.82 ;"*880.82 ;2658,.21
teta (,) "0,80.*4 48*80.,0 ;"*880.82 88861.5" ,0661.,6 "*880.82
teta (,) 48*80.,0 "0,80.*4 ;"*880.82 ,0661.,6 88861.5" "*880.82
, "*880.82 "*880.82 ;2658,.21 "*880.82 "*880.82 2658,.21
1"
teta (8) teta (8) 8 teta (5) teta (5) 5
teta (8) 4,*,4.42 0.00 0.00 ;4,*,4.42 0.00 0.00
teta (8) 0.00 401066.6, ;100266.6, 0.00 2005""."" 100266.6,
8 0.00 ;100266.6, ""422.22 0.00 ;100266.6, ;""422.22
teta (5) ;4,*,4.42 0.00 0.00 4,*,4.42 0.00 0.00
teta (5) 0.00 2005""."" ;100266.6, 0.00 401066.6, 100266.6,
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4
a 2.4 m(5)> 0 M?(5)> 0.00
b ".60 m(5)> 8.64 M@(5)> 8.64
L 6.00 5> ;5.28 5> ;5.28
m(")> 0 M?(")> 0.00
m(")> ;12.*6 M@(")> ;12.*6
"> ;*.,2 "> ;*.,2
5
a 0.00 m(4)> 0 M?(4)> 0.00
b 0 m(4)> 0.00 M@(4)> 0.00L 4.24 4> 0.00 4> 0.00
m(2)> 0 M?(2)> 0.00
m(2)> 0.00 M@(2)> 0.00
2> 0.00 2> 0.00
6
a 0 m(5)> 0 M?(5)> 12.,"
b 0 m(5)> 18 M@(5)> 12.,"
L 4.24 5> ;25.46 5> ;25.46
m(2)> 0 M?(2)> ;12.,"
m(2)> ;18 M@(2)> ;12.,"
2> ;25.46 2> ;25.46
,a 0 m(4)> 0 M?(4)> ;"6.00
b 0 m(4)> "6.00 M@(4)> 0.00
L 6.00 4> ;"6.00 4> ;"6.00
m(5)> 0 M?(5)> "6.00
m(5)> ;"6.00 M@(5)> 0.00
5> ;"6.00 5> ;"6.00
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8
a m(,)> 0 M?(,)> 0.00
b m(,)> 0.00 M@(,)> 0.00
L 4.24 ,> 0.00 ,> 0.00
m(4)> 0 M?(4)> 0.00
m(4)> 0.00 M@(4)> 0.00
4> 0.00 4> 0.00
*
a m(,)> 0 M?(,)> ;12.,"
b m(,)> 18.00 M@(,)> 12.,"L 4.24 ,> ;25.46 ,> ;25.46
m(5)> 0 M?(5)> 12.,"
m(5)> ;18.00 M@(5)> ;12.,"
5> ;25.46 5> ;25.46
10
a ".60 m(6)> 0 M?(6)> 0.00
b 2.4 m(6)> 12.*6 M@(6)> 12.*6
L 6.00 6> ;*.,2 6> ;*.,2
m(4)> 0 M?(4)> 0.00
m(4)> ;8.64 M@(4)> ;8.64
4> ;5.28 4> ;5.28
11
a m(6)> 0 M?(6)> ;12.,"
b m(6)> 18.00 M@(6)> 12.,"
L 4.24 6> ;25.46 6> ;25.46
m(,)> 0.00 M?(,)> 12.,"
m(,)> ;18.00 M@(,)> ;12.,"
,> ;25.46 ,> ;25.46
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12
a m(8)> 0 M?(8)> 0.00
b m(8)> 0.00 M@(8)> 0.00
L 4.24 8> 0.00 8> 0.00
m(,)> 0 M?(,)> 0.00
m(,)> 0.00 M@(,)> 0.00
,> 0.00 ,> 0.00
1"
a ".60 m(8)> 0 M?(8)> 0.00
b 2.4 m(8)> 12.*6 M@(8)> 12.*6L 6.00 8> ;*.,2 8> ;*.,2
m(5)> 0 M?(5)> 0.00
m(5)> ;8.64 M@(5)> ;8.64
5> ;5.28 5> ;5.28
D+L+K7I
> = K <
M?1 0 M?1> ;12.," teta 1
M@1 0 M@1> ;25.68,*2206 teta 1
1 0 1> ;"5.1,584412 1
M?2 0 M?2> 0 teta 2
M@2 0 M@2> 0 teta 22 0 2> ;50.*1168825 2
M?" 0 M?"> 0 teta "
M@" 0 M@"> ;12.*6 teta "
" 0 "> ;*.,2 "
M?4 0 M?4> ;"6.00 teta 4
M@4 0 M@4> 0 teta 4
4 0 4> ;46.56 4
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M?5 0 M?5> 61.45584412" teta 5
M@5 0 M@5> 0 teta 5
5 0 5> ;*,.4,168825 5
M?6 0 M?6> ;12.,2,*2206 teta 6
M@6 0 M@6> 25.68,*22061 teta 6
6 0 6> ;"5.1,584412 6
M?, 0 M?,> 0 teta ,
M@, 0 M@,> 0 teta ,
, 0 ,> ;50.*1168825 ,
M?8 0 M?8> 0 teta 8
M@8 0 M@8> 12.*6 teta 88 0 8> ;*.,2 8
teta 2
= ?
M?2 0
M?2> 0.00
teta 2 M@2 0 M@2> 0
2 2 0 2> ;50.*1168825
teta 4 M?4 0 M?4> ;"6.00
teta 4 M@4 0 M@4> 0
4 4 0 4> ;46.56
teta 5 M?5 0 M?5> 61.46
teta 5 M@5 0 M@5> 0
5 5 0 5> ;*,.4,168825
teta , M?, 0 M?,> 0.00
teta , M@, 0 M@,> 0
, , 0 ,> ;50.*1168825
R+AK7I
M?1 M?1> ;12.," M?1 0
M@1 M@1> ;25.68,*22061 M@1 0
1 1> ;"5.1,584412" 1 0
M?" M?"> 0.00 M?" 0
M@" M@"> ;12.*6 M@" 0
9K:;1
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"= 9K: 9 ;12.," M?6 0
M@6 M@6> 25.68,*22061 M@6 0
6 6> ;"5.1,584412" 6 0
M?8 M?8> 0.00 M?8 0
M@8 M@8> 12.*6 M@8 0
8 8> ;*.,2 8 0
M+MB+R ORC+7
1
teta (4) teta (4) 4 teta (1) teta (1) 1
teta (4) 1.00 0.00 0.00 0 0 0
teta (4) 0.00 1.00 0 0 0 0
4 0 0 1 0 0 0
teta (1) 0 0 0 1.00 0.00 0.00
teta (1) 0 0 0 0.00 1.00 0.00
1 0 0 0 0.00 0.00 1.00
2
teta (2) teta (2) 2 teta (1) teta (1) 1
teta (2) 0.,1 ;0.,1 0.00 0 0 0
teta (2) 0.,1 0.,1 0 0 0 0
2 0 0 1 0 0 0
teta (1) 0 0 0 0.,1 ;0.,1 0.00
teta (1) 0 0 0 0.,1 0.,1 0.00
1 0 0 0 0.00 0.00 1.00
"
teta (2) teta (2) 2 teta (") teta (") "
teta (2) 0.,1 0.,1 0.00 0 0 0
teta (2) ;0.,1 0.,1 0 0 0 0
2 0 0 1 0 0 0
teta (") 0 0 0 0.,1 0.,1 0.00
teta (") 0 0 0 ;0.,1 0.,1 0.00
" 0 0 0 0.00 0.00 1.00
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4
teta (5) teta (5) 5 teta (") teta (") "
teta (5) 1.00 0.00 0.00 0 0 0
teta (5) 0.00 1.00 0 0 0 0
5 0 0 1 0 0 0
teta (") 0 0 0 1.00 0.00 0.00
teta (") 0 0 0 0.00 1.00 0.00
" 0 0 0 0.00 0.00 1.00
5
teta (4) teta (4) 4 teta (2) teta (2) 2
teta (4) 0.,1 0.,1 0.00 0 0 0
teta (4) ;0.,1 0.,1 0 0 0 0
4 0 0 1 0 0 0
teta (2) 0 0 0 0.,1 0.,1 0.00
teta (2) 0 0 0 ;0.,1 0.,1 0.00
2 0 0 0 0.00 0.00 1.00
6
teta (5) teta (5) 5 teta (2) teta (2) 2
teta (5) 0.,1 ;0.,1 0.00 0 0 0
teta (5) 0.,1 0.,1 0 0 0 0
5 0 0 1 0 0 0
teta (2) 0 0 0 0.,1 ;0.,1 0.00
teta (2) 0 0 0 0.,1 0.,1 0.00
2 0 0 0 0.00 0.00 1.00
,
teta (4) teta (4) 4 teta (5) teta (5) 5
teta (4) 0.00 1.00 0.00 0 0 0
teta (4) ;1.00 0.00 0 0 0 0
4 0 0 1 0 0 0
teta (5) 0 0 0 0.00 1.00 0.00
teta (5) 0 0 0 ;1.00 0.00 0.00
5 0 0 0 0.00 0.00 1.00
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8
teta (,) teta (,) , teta (4) teta (4) 4
teta (,) 0.,1 ;0.,1 0.00 0 0 0
teta (,) 0.,1 0.,1 0 0 0 0
, 0 0 1 0 0 0
teta (4) 0 0 0 0.,1 ;0.,1 0.00
teta (4) 0 0 0 0.,1 0.,1 0.00
4 0 0 0 0.00 0.00 1.00
*
teta (,) teta (,) , teta (5) teta (5) 5
teta (,) 0.,1 0.,1 0.00 0 0 0
teta (,) ;0.,1 0.,1 0 0 0 0
, 0 0 1 0 0 0
teta (5) 0 0 0 0.,1 0.,1 0.00
teta (5) 0 0 0 ;0.,1 0.,1 0.00
5 0 0 0 0.00 0.00 1.00
10
teta (6) teta (6) 6 teta (4) teta (4) 4
teta (6) 1.00 0.00 0.00 0 0 0
teta (6) 0.00 1.00 0 0 0 0
6 0 0 1 0 0 0
teta (4) 0 0 0 1.00 0.00 0.00
teta (4) 0 0 0 0.00 1.00 0.00
4 0 0 0 0.00 0.00 1.00
11
teta (6) teta (6) 6 teta (,) teta (,) ,
teta (6) 0.,1 0.,1 0.00 0 0 0
teta (6) ;0.,1 0.,1 0 0 0 0
6 0 0 1 0 0 0
teta (,) 0 0 0 0.,1 0.,1 0.00
teta (,) 0 0 0 ;0.,1 0.,1 0.00
, 0 0 0 0.00 0.00 1.00
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12
teta (8) teta (8) 8 teta (,) teta (,) ,
teta (8) 0.,1 ;0.,1 0.00 0 0 0
teta (8) 0.,1 0.,1 0 0 0 0
8 0 0 1 0 0 0
teta (,) 0 0 0 0.,1 ;0.,1 0.00
teta (,) 0 0 0 0.,1 0.,1 0.00
, 0 0 0 0.00 0.00 1.00
1"
teta (8) teta (8) 8 teta (5) teta (5) 5
teta (8) 1.00 0.00 0.00 0 0 0
teta (8) 0.00 1.00 0 0 0 0
8 0 0 1 0 0 0
teta (5) 0 0 0 1.00 0.00 0.00
teta (5) 0 0 0 0.00 1.00 0.00
5 0 0 0 0.00 0.00 1.00
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ATA KOORDINAT (GLOBAL)
12 0 0
* " 0
12 6 0
6 0 0
6 6 0
0 0 0
" " 0
0 6 0
0.02*",2
0.00,8,*
0.00,8,*
0.02*",2
0.00,8,*
0.00,8,*
0.02*",2
0.00,8,*
0.00,8,*
0.02*",20.00,8,*
0.00,8,*
0.02*",2
# # # 3 3 3
6 0 0 12 0 0 0 0
* " 0 12 0 0 ;1 ;45
tan α α (%)
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* " 0 12 6 0 1 45
6 6 0 12 6 0 0 0
6 0 0 * " 0 1 45
6 6 0 * " 0 ;1 ;45
6 0 0 6 6 0 EDI!0F *0
" " 0 6 0 0 ;1 ;45
" " 0 6 6 0 1 45
0 0 0 6 0 0 0 0
0 0 0 " " 0 1 45
0 6 0 " " 0 ;1 ;45
0 6 0 6 6 0 0 0
1
teta (4) teta (4) 4 teta (1) teta (1) 1
teta (4) 1.00 0.00 0.00 0 0 0
teta (4) 0.00 1.00 0 0 0 0
4 0 0 1 0 0 0
teta (1) 0 0 0 1.00 0.00 0.00
teta (1) 0 0 0 0.00 1.00 0.00
1 0 0 0 0.00 0.00 1.00
2
teta (2) teta (2) 2 teta (1) teta (1) 1
teta (2) 0.,1 0.,1 0.00 0 0 0teta (2) ;0.,1 0.,1 0 0 0 0
2 0 0 1 0 0 0
teta (1) 0 0 0 0.,1 0.,1 0.00
teta (1) 0 0 0 ;0.,1 0.,1 0.00
1 0 0 0 0.00 0.00 1.00
teta (2) teta (2) 2 teta (") teta (") "
MATRIK7 TRAN$O7+ TRAN7ORMA7I 9T: T
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"teta (2) 0.,1 ;0.,1 0.00 0 0 0
teta (2) 0.,1 0.,1 0 0 0 0
2 0 0 1 0 0 0
teta (") 0 0 0 0.,1 ;0.,1 0.00
teta (") 0 0 0 0.,1 0.,1 0.00
" 0 0 0 0.00 0.00 1.00
4
teta (5) teta (5) 5 teta (") teta (") "
teta (5) 1.00 0.00 0.00 0 0 0
teta (5) 0.00 1.00 0 0 0 0
5 0 0 1 0 0 0teta (") 0 0 0 1.00 0.00 0.00
teta (") 0 0 0 0.00 1.00 0.00
" 0 0 0 0.00 0.00 1.00
5
teta (4) teta (4) 4 teta (2) teta (2) 2
teta (4) 0.,1 ;0.,1 0.00 0 0 0
teta (4) 0.,1 0.,1 0 0 0 0
4 0 0 1 0 0 0
teta (2) 0 0 0 0.,1 ;0.,1 0.00
teta (2) 0 0 0 0.,1 0.,1 0.00
2 0 0 0 0.00 0.00 1.00
6
teta (5) teta (5) 5 teta (2) teta (2) 2
teta (5) 0.,1 0.,1 0.00 0 0 0
teta (5) ;0.,1 0.,1 0 0 0 0
5 0 0 1 0 0 0
teta (2) 0 0 0 0.,1 0.,1 0.00
teta (2) 0 0 0 ;0.,1 0.,1 0.00
2 0 0 0 0.00 0.00 1.00
teta (4) teta (4) 4 teta (5) teta (5) 5
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,
teta (4) 0.00 ;1.00 0.00 0 0 0
teta (4) 1.00 0.00 0 0 0 0
4 0 0 1 0 0 0
teta (5) 0 0 0 0.00 ;1.00 0.00
teta (5) 0 0 0 1.00 0.00 0.00
5 0 0 0 0.00 0.00 1.00
8
teta (,) teta (,) , teta (4) teta (4) 4
teta (,) 0.,1 0.,1 0.00 0 0 0
teta (,) ;0.,1 0.,1 0 0 0 0
, 0 0 1 0 0 0teta (4) 0 0 0 0.,1 0.,1 0.00
teta (4) 0 0 0 ;0.,1 0.,1 0.00
4 0 0 0 0.00 0.00 1.00
*
teta (,) teta (,) , teta (5) teta (5) 5
teta (,) 0.,1 ;0.,1 0.00 0 0 0
teta (,) 0.,1 0.,1 0 0 0 0
, 0 0 1 0 0 0
teta (5) 0 0 0 0.,1 ;0.,1 0.00
teta (5) 0 0 0 0.,1 0.,1 0.00
5 0 0 0 0.00 0.00 1.00
10
teta (6) teta (6) 6 teta (4) teta (4) 4
teta (6) 1.00 0.00 0.00 0 0 0teta (6) 0.00 1.00 0 0 0 0
6 0 0 1 0 0 0
teta (4) 0 0 0 1.00 0.00 0.00
teta (4) 0 0 0 0.00 1.00 0.00
4 0 0 0 0.00 0.00 1.00
teta (6) teta (6) 6 teta (,) teta (,) ,
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11
teta (6) 0.,1 ;0.,1 0.00 0 0 0
teta (6) 0.,1 0.,1 0 0 0 0
6 0 0 1 0 0 0
teta (,) 0 0 0 0.,1 ;0.,1 0.00
teta (,) 0 0 0 0.,1 0.,1 0.00
, 0 0 0 0.00 0.00 1.00
12
teta (8) teta (8) 8 teta (,) teta (,) ,
teta (8) 0.,1 0.,1 0.00 0 0 0
teta (8) ;0.,1 0.,1 0 0 0 0
8 0 0 1 0 0 0teta (,) 0 0 0 0.,1 0.,1 0.00
teta (,) 0 0 0 ;0.,1 0.,1 0.00
, 0 0 0 0.00 0.00 1.00
1"
teta (8) teta (8) 8 teta (5) teta (5) 5
teta (8) 1.00 0.00 0.00 0 0 0
teta (8) 0.00 1.00 0 0 0 0
8 0 0 1 0 0 0
teta (5) 0 0 0 1.00 0.00 0.00
teta (5) 0 0 0 0.00 1.00 0.00
5 0 0 0 0.00 0.00 1.00
teta (1) teta (1) 1 teta (2) teta (2) 2
teta (1) 1"68"5.*5 ,0661.,6 "*880.82 "0,80.*4 48*80.,0 ;"*880.82
teta (1) ,0661.,6 48**28.1* 14014,.4* 48*80.,0 "0,80.*4 ;"*880.82
1 "*880.82 14014,.4* 6000*.44 "*880.82 "*880.82 ;2658,.21
teta (2) "0,80.*4 48*80.,0 "*880.82 "55446.10 0.00 0.00
teta (2) 48*80.,0 "0,80.*4 "*880.82 0.00 "55446.10 0.00
2 ;"*880.82 ;"*880.82 ;2658,.21 0.00 0.00 106"48.86
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teta (") 0.00 0.00 0.00 "0,80.*4 ;48*80.,0 "*880.82
teta (") 0.00 0.00 0.00 ;48*80.,0 "0,80.*4 ;"*880.82
" 0.00 0.00 0.00 ;"*880.82 "*880.82 ;2658,.21
teta (4) ;4,*,4.42 0.00 0.00 "0,80.*4 ;48*80.,0 ;"*880.82
teta (4) 0.00 2005""."" 100266.6, ;48*80.,0 "0,80.*4 "*880.82
4 0.00 ;100266.6, ;""422.22 "*880.82 ;"*880.82 ;2658,.21
teta (5) 0.00 0.00 0.00 "0,80.*4 48*80.,0 "*880.82
teta (5) 0.00 0.00 0.00 48*80.,0 "0,80.*4 "*880.82
5 0.00 0.00 0.00 ;"*880.82 ;"*880.82 ;2658,.21
teta (6) 0.00 0.00 0.00 0.00 0.00 0.00
teta (6) 0.00 0.00 0.00 0.00 0.00 0.006 0.00 0.00 0.00 0.00 0.00 0.00
teta (,) 0.00 0.00 0.00 0.00 0.00 0.00
teta (,) 0.00 0.00 0.00 0.00 0.00 0.00
, 0.00 0.00 0.00 0.00 0.00 0.00
teta (8) 0.00 0.00 0.00 0.00 0.00 0.00
teta (8) 0.00 0.00 0.00 0.00 0.00 0.00
8 0.00 0.00 0.00 0.00 0.00 0.00
teta (2) teta (2) 2 teta (4) teta (4) 4
teta (2) "55446.10 0.00 0.00 "0,80.*4 ;48*80.,0 "*880.82
teta (2) 0.00 "55446.10 0.00 ;48*80.,0 "0,80.*4 ;"*880.82
2 0.00 0.00 106"48.86 ;"*880.82 "*880.82 ;2658,.21
teta (4) "0,80.*4 ;48*80.,0 ;"*880.82 6,4,"8.56 0.00 180028."1
teta (4) ;48*80.,0 "0,80.*4 "*880.82 0.00 102,8"0.81 0.00
4 "*880.82 ;"*880.82 ;2658,.21 180028."1 0.00 15"441.10
teta (5) "0,80.*4 48*80.,0 "*880.82 2005""."" 0.00 100266.6,
teta (5) 48*80.,0 "0,80.*4 "*880.82 0.00 ;4,*,4.42 0.00
5 ;"*880.82 ;"*880.82 ;2658,.21 ;100266.6, 0.00 ;""422.22
teta (,) 0.00 0.00 0.00 "0,80.*4 48*80.,0 "*880.82
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teta (,) 0.00 0.00 0.00 48*80.,0 "0,80.*4 "*880.82
, 0.00 0.00 0.00 ;"*880.82 ;"*880.82 ;2658,.21
teta (1) "0,80.*4 48*80.,0 ;"*880.82 ;4,*,4.42 0.00 0.00
teta (1) 48*80.,0 "0,80.*4 ;"*880.82 0.00 2005""."" ;100266.6,
1 "*880.82 "*880.82 ;2658,.21 0.00 100266.6, ;""422.22
teta (") "0,80.*4 ;48*80.,0 "*880.82 0.00 0.00 0.00
teta (") ;48*80.,0 "0,80.*4 ;"*880.82 0.00 0.00 0.00
" ;"*880.82 "*880.82 ;2658,.21 0.00 0.00 0.00
teta (6) 0.00 0.00 0.00 ;4,*,4.42 0.00 0.00
teta (6) 0.00 0.00 0.00 0.00 2005""."" 100266.6,
6 0.00 0.00 0.00 0.00 ;100266.6, ;""422.22
teta (8) 0.00 0.00 0.00 0.00 0.00 0.00
teta (8) 0.00 0.00 0.00 0.00 0.00 0.00
8 0.00 0.00 0.00 0.00 0.00 0.00
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Beban
Beban Merata q = 0 N!m
Beban T#t# $ = 15 N
ara Beban T#t# 20.4m
2.4m
BATANG 2 DAN 6 12
BATANG , 12
BATANG * DAN 11 12
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7A$
=
;4.50+;05 ra& ;2.50+;05
;".2,+;04 ra& ;1.68+;04
;1.2"+;0" m ;*.54+;04
;2.28+;04 ra& ;1."0+;04
6.,8+;21 ra& 0.00+00
;1.00+;0" m ;6.8"+;04
1.05+;04 ra& 6."0+;05
;6.,8+;21 ra& ;1.60+;20 2."0*4010,68
;1.50+;0" m ;1.05+;0"
;4.50+;05 ra& ;2.50+;05
".2,+;04 ra& 1.68+;04
;1.2"+;0" m ;*.54+;04
7A$ err%r (H)
55."2 Nm *4.8868 41.,04 Rea# ert#a
16".02 Nm 2,2.**"" 40.285 Rea# M
86.56 N 110.546 21.6** Rea# M
;"*.4" Nm ;65.5,68 "*.865
204.42 Nm "4,.6*52 41.206 Beban
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= 81.26 N 10".218 21.26* ert#a
55."2 Nm *4.8868 41.,04
;16".02 Nm ;2,2.**"" 40.285
86.56 N 110.546 21.6**
;"*.4" Nm ;65.5,68 "*.865
;204.42 Nm ;"4,.6*52 41.206
81.26 N 10".218 21.26*
teta (4) teta (4) 4 teta (1) teta (1) 1
teta (4) 4,*,4.42 0.00 0.00 ;4,*,4.42 0.00 0.00
teta (4) 0.00 401066.6, ;100266.6, 0.00 2005""."" 100266.6,
4 0.00 ;100266.6, ""422.22 0.00 ;100266.6, ;""422.22
teta (1) ;4,*,4.42 0.00 0.00 4,*,4.42 0.00 0.00
teta (1) 0.00 2005""."" ;100266.6, 0.00 401066.6, 100266.6,
1 0.00 100266.6, ;""422.22 0.00 100266.6, ""422.22
teta (2) teta (2) 2 teta (1) teta (1) 1
teta (2) 88861.5" ,0661.,6 ;"*880.82 "0,80.*4 48*80.,0 "*880.82
teta (2) ,0661.,6 88861.5" ;"*880.82 48*80.,0 "0,80.*4 "*880.82
2 ;"*880.82 ;"*880.82 2658,.21 ;"*880.82 ;"*880.82 ;2658,.21
teta (1) "0,80.*4 48*80.,0 ;"*880.82 88861.5" ,0661.,6 "*880.82
teta (1) 48*80.,0 "0,80.*4 ;"*880.82 ,0661.,6 88861.5" "*880.82
1 "*880.82 "*880.82 ;2658,.21 "*880.82 "*880.82 2658,.21
teta (2) teta (2) 2 teta (") teta (") "
teta (2) 88861.5" ;,0661.,6 "*880.82 "0,80.*4 ;48*80.,0 ;"*880.82
teta (2) ;,0661.,6 88861.5" ;"*880.82 ;48*80.,0 "0,80.*4 "*880.82
2 "*880.82 ;"*880.82 2658,.21 "*880.82 ;"*880.82 ;2658,.21
teta (") "0,80.*4 ;48*80.,0 "*880.82 88861.5" ;,0661.,6 ;"*880.82
teta (") ;48*80.,0 "0,80.*4 ;"*880.82 ;,0661.,6 88861.5" "*880.82
" ;"*880.82 "*880.82 ;2658,.21 ;"*880.82 "*880.82 2658,.21
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teta (5) teta (5) 5 teta (") teta (") "
teta (5) 4,*,4.42 0.00 0.00 ;4,*,4.42 0.00 0.00
teta (5) 0.00 401066.6, ;100266.6, 0.00 2005""."" 100266.6,
5 0.00 ;100266.6, ""422.22 0.00 ;100266.6, ;""422.22
teta (") ;4,*,4.42 0.00 0.00 4,*,4.42 0.00 0.00
teta (") 0.00 2005""."" ;100266.6, 0.00 401066.6, 100266.6,
" 0.00 100266.6, ;""422.22 0.00 100266.6, ""422.22
teta (4) teta (4) 4 teta (2) teta (2) 2
teta (4) 88861.5" ;,0661.,6 "*880.82 "0,80.*4 ;48*80.,0 ;"*880.82
teta (4) ;,0661.,6 88861.5" ;"*880.82 ;48*80.,0 "0,80.*4 "*880.82
4 "*880.82 ;"*880.82 2658,.21 "*880.82 ;"*880.82 ;2658,.21
teta (2) "0,80.*4 ;48*80.,0 "*880.82 88861.5" ;,0661.,6 ;"*880.82
teta (2) ;48*80.,0 "0,80.*4 ;"*880.82 ;,0661.,6 88861.5" "*880.82
2 ;"*880.82 "*880.82 ;2658,.21 ;"*880.82 "*880.82 2658,.21
teta (5) teta (5) 5 teta (2) teta (2) 2
teta (5) 88861.5" ,0661.,6 ;"*880.82 "0,80.*4 48*80.,0 "*880.82
teta (5) ,0661.,6 88861.5" ;"*880.82 48*80.,0 "0,80.*4 "*880.82
5 ;"*880.82 ;"*880.82 2658,.21 ;"*880.82 ;"*880.82 ;2658,.21
teta (2) "0,80.*4 48*80.,0 ;"*880.82 88861.5" ,0661.,6 "*880.82
teta (2) 48*80.,0 "0,80.*4 ;"*880.82 ,0661.,6 88861.5" "*880.82
2 "*880.82 "*880.82 ;2658,.21 "*880.82 "*880.82 2658,.21
teta (4) teta (4) 4 teta (5) teta (5) 5
teta (4) 401066.6, 0.00 100266.6, 2005""."" 0.00 ;100266.6,
teta (4) 0.00 4,*,4.42 0.00 0.00 ;4,*,4.42 0.00
4 100266.6, 0.00 ""422.22 100266.6, 0.00 ;""422.22
teta (5) 2005""."" 0.00 100266.6, 401066.6, 0.00 ;100266.6,
teta (5) 0.00 ;4,*,4.42 0.00 0.00 4,*,4.42 0.00
5 ;100266.6, 0.00 ;""422.22 ;100266.6, 0.00 ""422.22
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teta (,) teta (,) , teta (4) teta (4) 4
teta (,) 88861.5" ,0661.,6 ;"*880.82 "0,80.*4 48*80.,0 "*880.82
teta (,) ,0661.,6 88861.5" ;"*880.82 48*80.,0 "0,80.*4 "*880.82
, ;"*880.82 ;"*880.82 2658,.21 ;"*880.82 ;"*880.82 ;2658,.21
teta (4) "0,80.*4 48*80.,0 ;"*880.82 88861.5" ,0661.,6 "*880.82
teta (4) 48*80.,0 "0,80.*4 ;"*880.82 ,0661.,6 88861.5" "*880.82
4 "*880.82 "*880.82 ;2658,.21 "*880.82 "*880.82 2658,.21
teta (,) teta (,) , teta (5) teta (5) 5
teta (,) 88861.5" ;,0661.,6 "*880.82 "0,80.*4 ;48*80.,0 ;"*880.82
teta (,) ;,0661.,6 88861.5" ;"*880.82 ;48*80.,0 "0,80.*4 "*880.82
, "*880.82 ;"*880.82 2658,.21 "*880.82 ;"*880.82 ;2658,.21
teta (5) "0,80.*4 ;48*80.,0 "*880.82 88861.5" ;,0661.,6 ;"*880.82
teta (5) ;48*80.,0 "0,80.*4 ;"*880.82 ;,0661.,6 88861.5" "*880.82
5 ;"*880.82 "*880.82 ;2658,.21 ;"*880.82 "*880.82 2658,.21
teta (6) teta (6) 6 teta (4) teta (4) 4
teta (6) 4,*,4.42 0.00 0.00 ;4,*,4.42 0.00 0.00
teta (6) 0.00 401066.6, ;100266.6, 0.00 2005""."" 100266.6,
6 0.00 ;100266.6, ""422.22 0.00 ;100266.6, ;""422.22
teta (4) ;4,*,4.42 0.00 0.00 4,*,4.42 0.00 0.00
teta (4) 0.00 2005""."" ;100266.6, 0.00 401066.6, 100266.6,
4 0.00 100266.6, ;""422.22 0.00 100266.6, ""422.22
teta (6) teta (6) 6 teta (,) teta (,) ,
teta (6) 88861.5" ;,0661.,6 "*880.82 "0,80.*4 ;48*80.,0 ;"*880.82
teta (6) ;,0661.,6 88861.5" ;"*880.82 ;48*80.,0 "0,80.*4 "*880.82
6 "*880.82 ;"*880.82 2658,.21 "*880.82 ;"*880.82 ;2658,.21
teta (,) "0,80.*4 ;48*80.,0 "*880.82 88861.5" ;,0661.,6 ;"*880.82
teta (,) ;48*80.,0 "0,80.*4 ;"*880.82 ;,0661.,6 88861.5" "*880.82
, ;"*880.82 "*880.82 ;2658,.21 ;"*880.82 "*880.82 2658,.21
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teta (8) teta (8) 8 teta (,) teta (,) ,
teta (8) 88861.5" ,0661.,6 ;"*880.82 "0,80.*4 48*80.,0 "*880.82
teta (8) ,0661.,6 88861.5" ;"*880.82 48*80.,0 "0,80.*4 "*880.82
8 ;"*880.82 ;"*880.82 2658,.21 ;"*880.82 ;"*880.82 ;2658,.21
teta (,) "0,80.*4 48*80.,0 ;"*880.82 88861.5" ,0661.,6 "*880.82
teta (,) 48*80.,0 "0,80.*4 ;"*880.82 ,0661.,6 88861.5" "*880.82
, "*880.82 "*880.82 ;2658,.21 "*880.82 "*880.82 2658,.21
teta (8) teta (8) 8 teta (5) teta (5) 5
teta (8) 4,*,4.42 0.00 0.00 ;4,*,4.42 0.00 0.00
teta (8) 0.00 401066.6, ;100266.6, 0.00 2005""."" 100266.6,
8 0.00 ;100266.6, ""422.22 0.00 ;100266.6, ;""422.22
teta (5) ;4,*,4.42 0.00 0.00 4,*,4.42 0.00 0.00
teta (5) 0.00 2005""."" ;100266.6, 0.00 401066.6, 100266.6,
5 0.00 100266.6, ;""422.22 0.00 100266.6, ""422.22
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L(m) GI!L 4+I!L 2+I!L 12+I!L"
0.00 6.00 4,*,4.42 401066.6, 100266.6, 2005""."" ""422.22
;0.,* 4.24 181**.,6 15*52".2* 56400.00 ,*,61.64 2658,.21
α (ra&) 6+I!L2
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0.,* 4.24 181**.,6 15*52".2* 56400.00 ,*,61.64 2658,.21
0.00 6.00 4,*,4.42 401066.6, 100266.6, 2005""."" ""422.22
0.,* 4.24 181**.,6 15*52".2* 56400.00 ,*,61.64 2658,.21
;0.,* 4.24 181**.,6 15*52".2* 56400.00 ,*,61.64 2658,.21
1.5, 6.00 4,*,4.42 401066.6, 100266.6, 2005""."" ""422.22
;0.,* 4.24 181**.,6 15*52".2* 56400.00 ,*,61.64 2658,.21
0.,* 4.24 181**.,6 15*52".2* 56400.00 ,*,61.64 2658,.21
0.00 6.00 4,*,4.42 401066.6, 100266.6, 2005""."" ""422.22
0.,* 4.24 181**.,6 15*52".2* 56400.00 ,*,61.64 2658,.21
;0.,* 4.24 181**.,6 15*52".2* 56400.00 ,*,61.64 2658,.21
0.00 6.00 4,*,4.42 401066.6, 100266.6, 2005""."" ""422.22
1
teta (4) teta (4) 4 teta (1)
teta (4) 4,*,4.42 0 0 ;4,*,4.42
teta (4) 0 401066.6, ;100266.6, 0
4 0 ;100266.6, ""422.22 0
teta (1) ;4,*,4.422815 0 0 4,*,4.42
teta (1) 0 2005"".""""" ;100266.666, 0.00
1 0 100266.6666, ;""422.22222 0.00
2
teta (2) teta (2) 2 teta (1)
teta (2) 181**.,6 0 0 ;181**.,6teta (2) 0 15*52".2* ;56400.00 0
2 0 ;56400.00 2658,.21 0
teta (1) ;181**.,60682 0 0 181**.,6
teta (1) 0 ,*,61.644*18 ;56400 0.00
1 0 56400 ;2658,.214*, 0.00
teta (2) teta (2) 2 teta (")
MATRIK7 K+KAK
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"
teta (2) 181**.,6 0 0 ;181**.,6
teta (2) 0 15*52".2* ;56400.00 0
2 0 ;56400.00 2658,.21 0
teta (") ;181**.,60682 0 0 181**.,6
teta (") 0 ,*,61.644*18 ;56400 0.00
" 0 56400 ;2658,.214*, 0.00
4
teta (5) teta (5) 5 teta (")
teta (5) 4,*,4.42 0 0 ;4,*,4.42
teta (5) 0 401066.6, ;100266.6, 0
5 0 ;100266.6, ""422.22 0
teta (") ;4,*,4.422815 0 0 4,*,4.42
teta (") 0 2005"".""""" ;100266.666, 0.00
" 0 100266.6666, ;""422.22222 0.00
5
teta (4) teta (4) 4 teta (2)
teta (4) 181**.,6 0 0 ;181**.,6
teta (4) 0 15*52".2* ;56400.00 0
4 0 ;56400.00 2658,.21 0
teta (2) ;181**.,60682 0 0 181**.,6
teta (2) 0 ,*,61.644*18 ;56400 0.00
2 0 56400 ;2658,.214*, 0.00
6
teta (5) teta (5) 5 teta (2)
teta (5) 181**.,6 0 0 ;181**.,6
teta (5) 0 15*52".2* ;56400.00 0
5 0 ;56400.00 2658,.21 0
teta (2) ;181**.,60682 0 0 181**.,6
teta (2) 0 ,*,61.644*18 ;56400 0.00
2 0 56400 ;2658,.214*, 0.00
teta (4) teta (4) 4 teta (5)
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,
teta (4) 4,*,4.42 0 0 ;4,*,4.42
teta (4) 0 401066.6, ;100266.6, 0
4 0 ;100266.6, ""422.22 0
teta (5) ;4,*,4.422815 0 0 4,*,4.42
teta (5) 0 2005"".""""" ;100266.666, 0.00
5 0 100266.6666, ;""422.22222 0.00
8
teta (,) teta (,) , teta (4)
teta (,) 181**.,6 0 0 ;181**.,6
teta (,) 0 15*52".2* ;56400.00 0
, 0 ;56400.00 2658,.21 0teta (4) ;181**.,60682 0 0 181**.,6
teta (4) 0 ,*,61.644*18 ;56400 0.00
4 0 56400 ;2658,.214*, 0.00
*
teta (,) teta (,) , teta (5)
teta (,) 181**.,6 0 0 ;181**.,6
teta (,) 0 15*52".2* ;56400.00 0
, 0 ;56400.00 2658,.21 0
teta (5) ;181**.,60682 0 0 181**.,6
teta (5) 0 ,*,61.644*18 ;56400 0.00
5 0 56400 ;2658,.214*, 0.00
10
teta (6) teta (6) 6 teta (4)
teta (6) 4,*,4.42 0 0 ;4,*,4.42
teta (6) 0 401066.6, ;100266.6, 0
6 0 ;100266.6, ""422.22 0
teta (4) ;4,*,4.422815 0 0 4,*,4.42
teta (4) 0 2005"".""""" ;100266.666, 0.00
4 0 100266.6666, ;""422.22222 0.00
teta (6) teta (6) 6 teta (,)
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11
teta (6) 181**.,6 0 0 ;181**.,6
teta (6) 0 15*52".2* ;56400.00 0
6 0 ;56400.00 2658,.21 0
teta (,) ;181**.,60682 0 0 181**.,6
teta (,) 0 ,*,61.644*18 ;56400 0.00
, 0 56400 ;2658,.214*, 0.00
12
teta (8) teta (8) 8 teta (,)
teta (8) 181**.,6 0 0 ;181**.,6
teta (8) 0 15*52".2* ;56400.00 0
8 0 ;56400.00 2658,.21 0teta (,) ;181**.,60682 0 0 181**.,6
teta (,) 0 ,*,61.644*18 ;56400 0.00
, 0 56400 ;2658,.214*, 0.00
1"
teta (8) teta (8) 8 teta (5)
teta (8) 4,*,4.42 0 0 ;4,*,4.42
teta (8) 0 401066.6, ;100266.6, 0
8 0 ;100266.6, ""422.22 0
teta (5) ;4,*,4.422815 0 0 4,*,4.42
teta (5) 0 2005"".""""" ;100266.666, 0.00
5 0 100266.6666, ;""422.22222 0.00
MATRIK7 K+KAK
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1"68"5.*5 ;,0661.,6 ;"*880.82 0.00 0.00 0.00 ;4,*,4.42
;,0661.,6 48**28.1* 14014,.4* 0.00 0.00 0.00 0.00
;"*880.82 14014,.4* 6000*.44 0.00 0.00 0.00 0.00
0.00 0.00 0.00 6,4,"8.56 0.00 180028."1 2005"".""
0.00 0.00 0.00 0.00 102,8"0.81 0.00 0.00
0.00 0.00 0.00 180028."1 0.00 15"441.10 100266.6,
;4,*,4.42 0.00 0.00 2005""."" 0.00 100266.6, 6,4,"8.56
0.00 2005""."" 100266.6, 0.00 ;4,*,4.42 0.00 0.00
0.00 ;100266.6, ;""422.22 ;100266.6, 0.00 ;""422.22 ;180028."1
0.00 0.00 0.00 ;4,*,4.42 0.00 0.00 0.00
0.00 0.00 0.00 0.00 2005""."" 100266.6, 0.00
0.00 0.00 0.00 0.00 ;100266.6, ;""422.22 0.00
0.00 0.00 0.00 "0,80.*4 48*80.,0 "*880.82 "0,80.*4
0.00 0.00 0.00 48*80.,0 "0,80.*4 "*880.82 ;48*80.,0
0.00 0.00 0.00 ;"*880.82 ;"*880.82 ;2658,.21 "*880.82
0.00 0.00 0.00 0.00 0.00 0.00 ;4,*,4.42
0.00 0.00 0.00 0.00 0.00 0.00 0.00
0.00 0.00 0.00 0.00 0.00 0.00 0.00
R+ARRANG+M+NTteta (5) teta (5) 5 teta (,) teta (,) , teta (1)
"0,80.*4 48*80.,0 ;"*880.82 0.00 0.00 0.00 "0,80.*4212
48*80.,0 "0,80.*4 ;"*880.82 0.00 0.00 0.00 48*80.,028
"*880.82 "*880.82 ;2658,.21 0.00 0.00 0.00 ;"*880.82246
2005""."" 0.00 ;100266.6, "0,80.*4 48*80.,0 ;"*880.82 ;4,*,4.42
0.00 ;4,*,4.42 0.00 48*80.,0 "0,80.*4 ;"*880.82 0.00
100266.6, 0.00 ;""422.22 "*880.82 "*880.82 ;2658,.21 0.00
6,4,"8.56 0.00 ;180028."1 "0,80.*4 ;48*80.,0 "*880.82 0.00
0.00 102,8"0.81 0.00 ;48*80.,0 "0,80.*4 ;"*880.82 0.00
;180028."1 0.00 15"441.10 ;"*880.82 "*880.82 ;2658,.21 0.00
"0,80.*4 ;48*80.,0 ;"*880.82 "55446.10 0.00 0.00 0.00
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;48*80.,0 "0,80.*4 "*880.82 0.00 "55446.10 0.00 0.00
"*880.82 ;"*880.82 ;2658,.21 0.00 0.00 106"48.86 0.00
0 0 0 0.00 0.00 0.00 1"68"5.*5
0 0 0 0.00 0.00 0.00 ,0661.,6
0 0 0 0.00 0.00 0.00 "*880.82
;4,*,4.42 0.00 0.00 0.00 0.00 0.00 0.00
0.00 2005""."" ;100266.6, 0.00 0.00 0.00 0.00
0.00 100266.6, ;""422.22 0.00 0.00 0.00 0.00
0.00 0.00 0.00 "0,80.*4 ;48*80.,0 ;"*880.82 0.00
0.00 0.00 0.00 ;48*80.,0 "0,80.*4 "*880.82 0.00
0.00 0.00 0.00 "*880.82 ;"*880.82 ;2658,.21 0.00
;4,*,4.42 0.00 0.00 "0,80.*4 48*80.,0 "*880.82 0.00
0.00 2005""."" 100266.6, 48*80.,0 "0,80.*4 "*880.82 0.00
0.00 ;100266.6, ;""422.22 ;"*880.82 ;"*880.82 ;2658,.21 0.00
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TAB+L D+L+K7I
teta 1 0
teta 1 0
1 0
teta 2 ;4.4*58*+;005
teta 2 ;0.000"266212
2 ;0.00122*1"
teta " 0
teta " 0
" 0
teta 4 ;0.000228264"
teta 4 6.,,6264+;021
4 ;0.001002***"
teta 5 0.0001048462
teta 5 ;6.,,626+;021
5 ;0.0014*8*615
teta 6 0
teta 6 06 0
teta , ;4.4*58*+;005
+e 7A$ teta , 0.000"266212
""5.65 42,.528 , ;0.00122*1"
"1.,6 58.62 teta 8 0
0.00 0 teta 8 0
8 0
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60.000
teta 4 0.00
;
m(4)> 0
=
;10.*5teta 4 6.,,626"5,8+;021 m(4)> 8.64 *1.*"
4 ;0.001002***" 4> ;5.28 ;28.24
teta 1 0 m(1)> 0 10.*5
teta 1 0 m(1)> ;12.*6 11".5"
1 0 1> ;*.,2 4".24
teta 2 ;4.4*5886**+;005
;
m(2)> 0
=
".62
teta 2 ;0.000"266212 m(2)> 18 *.41
2 ;0.00122*1" 2> ;25.45584412" ,.60
teta 1 0 m(1)> 0 ;".62
teta 1 0 m(1)> ;18 66.",
1 0 1> ;25.45584412" 4"."2
teta 2 ;4.4*5886**+;005
;
m(2)> 0
=
;4.,8
teta 2 ;0.000"266212 m(2)> 0 ",.55
2 ;0.00122*1" 2> 0 ;21.45
teta " 0 m(")> 0 4.,8
teta " 0 m(")> 0 5".44
" 0 "> 0 21.45
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teta 5 0.0001048462
;
m(5)> 0
=
5.0"
teta 5 ;6.,,626"58+;021 m(5)> 8.64 141.66
5 ;0.0014*8*615 5> ;5.28 ;44.82
teta " 0 m(")> 0 ;5.0"
teta " 0 m(")> ;12.*6 16".26
" 0 "> ;*.,2 5*.82
teta 4 ;0.000228264"
;
m(4)> 0
=
1.84teta 4 6.,,626"5,8+;021 m(4)> 0 ;2.8*
4 ;0.001002***" 4> 0 8.14
teta 2 ;4.4*5886**+;005 m(2)> 0 ;1.84
teta 2 ;0.000"266212 m(2)> 0 ;"1.65
2 ;0.00122*1" 2> 0 ;8.14
teta 5 0.0001048462
;
m(5)> 0
=
;2.28
teta 5 ;6.,,626"58+;021 m(5)> 18 ;11.*1
5 ;0.0014*8*615 5> ;25.45584412" 28.*2
teta 2 ;4.4*5886**+;005 m(2)> 0 2.28
teta 2 ;0.000"266212 m(2)> ;18 ;2.,8
2 ;0.00122*1" 2> ;25.45584412" 21.**
teta 4 ;0.000228264"
;
m(4)> 0
=
0.00
teta 4 6.,,626"5,8+;021 m(4)> "6 ;15.20
4 ;0.001002***" 4> ;"6 40.20
teta 5 0.0001048462 m(5)> 0 0.00
teta 5 ;6.,,626"58+;021 m(5)> ;"6 ;10.00
5 ;0.0014*8*615 5> ;"6 "1.80
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teta , ;4.4*5886**+;005
;
m(,)> 0
=
;1.84
teta , 0.000"266212 m(,)> 0 "1.65
, ;0.00122*1" ,> 0 ;8.14
teta 4 ;0.000228264" m(4)> 0 1.84
teta 4 6.,,626"5,8+;021 m(4)> 0 2.8*
4 ;0.001002***" 4> 0 8.14
teta , ;4.4*5886**+;005
;
m(,)> 0
=
2.28teta , 0.000"266212 m(,)> 18 2.,8
, ;0.00122*1" ,> ;25.45584412" 21.**
teta 5 0.0001048462 m(5)> 0 ;2.28
teta 5 ;6.,,626"58+;021 m(5)> ;18 11.*1
5 ;0.0014*8*615 5> ;25.45584412" 28.*2
teta 6 0
;
m(6)> 0
=
10.*5
teta 6 0 m(6)> 12.*6 ;11".5"
6 0 6> ;*.,2 4".24
teta 4 ;0.000228264" m(4)> 0 ;10.*5
teta 4 6.,,626"5,8+;021 m(4)> ;8.64 ;*1.*"
4 ;0.001002***" 4> ;5.28 ;28.24
teta 6 0
;
m(6)> 0
=
;".62
teta 6 0 m(6)> 18 ;66.",
6 0 6> ;25.45584412" 4"."2
teta , ;4.4*5886**+;005 m(,)> 0 ".62
teta , 0.000"266212 m(,)> ;18 ;*.41
, ;0.00122*1" ,> ;25.45584412" ,.60
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teta 8 0
;
m(8)> 0
=
4.,8
teta 8 0 m(8)> 0 ;5".44
8 0 8> 0 21.45
teta , ;4.4*5886**+;005 m(,)> 0 ;4.,8
teta , 0.000"266212 m(,)> 0 ;",.55
, ;0.00122*1" ,> 0 ;21.45
teta 8 0
;
m(8)> 0
=
;5.0"teta 8 0 m(8)> 12.*6 ;16".26
8 0 8> ;*.,2 5*.82
teta 5 0.0001048462 m(5)> 0 5.0"
teta 5 ;6.,,626"58+;021 m(5)> ;8.64 ;141.66
5 ;0.0014*8*615 5> ;5.28 ;44.82
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teta (1) 1
0 0
2005""."" 100266.6,
;100266.6, ;""422.22
0.00 0.00
401066.6, 100266.6,
100266.6, ""422.22
teta (1) 1
0 0
,*,61.64 56400.00
;56400.00 ;2658,.21
0.00 0.00
15*52".2* 56400.00
56400.00 2658,.21
teta (") "
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0 0
,*,61.64 56400.00
;56400.00 ;2658,.21
0.00 0.00
15*52".2* 56400.00
56400.00 2658,.21
teta (") "
0 0
2005""."" 100266.6,
;100266.6, ;""422.22
0.00 0.00
401066.6, 100266.6,
100266.6, ""422.22
teta (2) 2
0 0
,*,61.64 56400.00
;56400.00 ;2658,.21
0.00 0.00
15*52".2* 56400.00
56400.00 2658,.21
teta (2) 20 0
,*,61.64 56400.00
;56400.00 ;2658,.21
0.00 0.00
15*52".2* 56400.00
56400.00 2658,.21
teta (5) 5
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0 0
2005""."" 100266.6,
;100266.6, ;""422.22
0.00 0.00
401066.6, 100266.6,
100266.6, ""422.22
teta (4) 4
0 0
,*,61.64 56400.00
;56400.00 ;2658,.21
0.00 0.00
15*52".2* 56400.00
56400.00 2658,.21
teta (5) 5
0 0
,*,61.64 56400.00
;56400.00 ;2658,.21
0.00 0.00
15*52".2* 56400.00
56400.00 2658,.21
teta (4) 40 0
2005""."" 100266.6,
;100266.6, ;""422.22
0.00 0.00
401066.6, 100266.6,
100266.6, ""422.22
teta (,) ,
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0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
2005""."" ;100266.6, 0.00 0.00 0.00 0.00 0.00 0.00 0.00
100266.6, ;""422.22 0.00 0.00 0.00 0.00 0.00 0.00 0.00
0.00 ;100266.6, ;4,*,4.42 0.00 0.00 "0,80.*4 48*80.,0 ;"*880.82 0.00
;4,*,4.42 0.00 0.00 2005""."" ;100266.6, 48*80.,0 "0,80.*4 ;"*880.82 0.00
0.00 ;""422.22 0.00 100266.6, ;""422.22 "*880.82 "*880.82 ;2658,.21 0.00
0.00 ;180028."1 0.00 0.00 0.00 "0,80.*4 ;48*80.,0 "*880.82 ;4,*,4.42
102,8"0.81 0.00 0.00 0.00 0.00 ;48*80.,0 "0,80.*4 ;"*880.82 0.00
0.00 15"441.10 0.00 0.00 0.00 ;"*880.82 "*880.82 ;2658,.21 0.00
0.00 0.00 1"68"5.*5 ;,0661.,6 "*880.82 "0,80.*4 ;48*80.,0 ;"*880.82 0.00
0.00 0.00 ;,0661.,6 48**28.1* ;14014,.4* ;48*80.,0 "0,80.*4 "*880.82 0.00
0.00 0.00 "*880.82 ;14014,.4* 6000*.44 "*880.82 ;"*880.82 ;2658,.21 0.00
;48*80.,0 ;"*880.82 "0,80.*4 ;48*80.,0 "*880.82 "55446.10 0.00 0.00 "0,80.*4
"0,80.*4 "*880.82 ;48*80.,0 "0,80.*4 ;"*880.82 0.00 "55446.10 0.00 48*80.,0
;"*880.82 ;2658,.21 ;"*880.82 "*880.82 ;2658,.21 0.00 0.00 106"48.86 "*880.82
0.00 0.00 0.00 0.00 0.00 "0,80.*4 48*80.,0 "*880.82 1"68"5.*5
2005""."" 100266.6, 0.00 0.00 0.00 48*80.,0 "0,80.*4 "*880.82 ,0661.,6
;100266.6, ;""422.22 0.00 0.00 0.00 ;"*880.82 ;"*880.82 ;2658,.21 ;"*880.82
teta (1) 1 teta (") teta (") " teta (6) teta (6) 6 teta (8)
48*80.,028 "*880.822458*21 "0,80.*421 ;48*80.,028 ;"*880.8225 0 0 0 0.00
"0,80.*42118 "*880.822458*21 ;48*80.,0" "0,80.*421 "*880.8225 0 0 0 0.00
;"*880.82246 ;2658,.214*,261 "*880.8225 ;"*880.8225 ;2658,.215 0 0 0 0.00
0.00 0.00 0.00 0.00 0.00 ;4,*,4.42 0.00 0.00 0
2005""."" 100266.6, 0.00 0.00 0.00 0.00 2005""."" ;100266.6, 0
;100266.6, ;""422.22 0.00 0.00 0.00 0.00 100266.6, ;""422.22 0
0.00 0.00 ;4,*,4.42 0.00 0.00 0.00 0.00 0.00 ;4,*,4.42
0.00 0.00 0.00 2005""."" 100266.6, 0.00 0.00 0.00 0.00
0.00 0.00 0.00 ;100266.6, ;""422.22 0.00 0.00 0.00 0.00
0.00 0.00 0.00 0.00 0.00 "0,80.*4 ;48*80.,0 "*880.82 "0,80.*4
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0.00 0.00 0.00 0.00 0.00 ;48*80.,0 "0,80.*4 ;"*880.82 48*80.,0
0.00 0.00 0.00 0.00 0.00 ;"*880.82 "*880.82 ;2658,.21 "*880.82
,0661.,6 "*880.82 0.00 0.00 0.00 0.00 0.00 0.00 0.00
48**28.1* 14014,.4* 0.00 0.00 0.00 0.00 0.00 0.00 0.00
14014,.4* 6000*.44 0.00 0.00 0.00 0.00 0.00 0.00 0.00
0.00 0.00 1"68"5.*5 ;,0661.,6 ;"*880.82 0.00 0.00 0.00 0.00
0.00 0.00 ;,0661.,6 48**28.1* 14014,.4* 0.00 0.00 0.00 0.00
0.00 0.00 ;"*880.82 14014,.4* 6000*.44 0.00 0.00 0.00 0.00
0.00 0.00 0.00 0.00 0.00 1"68"5.*5 ;,0661.,6 "*880.82 0.00
0.00 0.00 0.00 0.00 0.00 ;,0661.,6 48**28.1* ;14014,.4* 0.00
0.00 0.00 0.00 0.00 0.00 "*880.82 ;14014,.4* 6000*.44 0.00
0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 1"68"5.*5
0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 ,0661.,6
0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 ;"*880.82
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1
;21.60
2
;56.*6
"
;15.8*
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4
;21.60
5
28.,6
6
;*.1"
,
;5.20
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8
28.,6
*
;*.1"
10
;21.60
11
;56.*6
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12
;15.8*
1"
;21.60
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teta (8) 8
0.00 0.00 1
0.00 0.00 1
0.00 0.00 1
0.00 0.00
0.00 0.00
0.00 0.00
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0.00 0.00 1
0.00 0.00 1
0.00 0.00 1
0.00 0.00 1
0.00 0.00 1
0.00 0.00 1
0.00 0.00 1
2005""."" ;100266.6, 1
100266.6, ;""422.22 1
0.00 0.00 1
0.00 0.00 10.00 0.00 1
48*80.,0 ;"*880.82 1
"0,80.*4 ;"*880.82 1
"*880.82 ;2658,.21 1
,0661.,6 ;"*880.82
48**28.1* ;14014,.4*
;14014,.4* 6000*.44
teta (8) 8
0.00 0.00
0.00 0.00
0.00 0.00
0 0
0 0
0 0
0.00 0.00
2005""."" ;100266.6,
100266.6, ;""422.22
48*80.,0 ;"*880.82
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"0,80.*4 ;"*880.82
"*880.82 ;2658,.21
0.00 0.00
0.00 0.00
0.00 0.00
0.00 0.00
0.00 0.00
0.00 0.00
0.00 0.00
0.00 0.00
0.00 0.00
,0661.,6 ;"*880.82
48**28.1* ;14014,.4*
;14014,.4* 6000*.44
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teta (2) teta (2) 2 teta (4) teta (4) 4
teta (2) *54**0.1"4 0 0 10066".,21 ;125610.44* 84852.81",
teta (2) 0 *54**0.1"4 ;""*411.255 ;125610.44* 10066".,21 ;84852.81",
2 0 ;""*411.255 16*,05.62, ;84852.81", 84852.81", ;42426.406*
teta (4) 10066".,21 ;125610.44* ;84852.81", 2042*"5.0, ;8.,"1+;011 2,0000
teta (4) ;125610.44* 10066".,21 84852.81", ;8.,"1+;011 "420215.0, ;,0*,05.62,
4 84852.81", ;84852.81", ;42426.406* 2,0000 ;,0*,05.62, 28,"52.814teta (5) 10066".,21 125610.44* 84852.81", ,20000 ;4.,*5+;011 2,0000
teta (5) 1.26+05 1.01+05 8.4*+04 ;4.,*+;11 ;6.2,+04 ;1.65+;11
5 ;8.4*+04 ;8.4*+04 ;4.24+04 ;2.,0+05 1.65+;11 ;6.,5+04
teta (,) 0.00+00 0.00+00 0.00+00 1.01+05 1.26+05 8.4*+04
teta (,) 0.00+00 0.00+00 0.00+00 1.26+05 1.01+05 8.4*+04
, 0.00+00 0.00+00 0.00+00 ;8.4*+04 ;8.4*+04 ;4.24+04
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teta (5) teta (5) 5 teta (,) teta (,) ,
10066".,21 125610.44* ;84852.81", 0 0 0
125610.44* 10066".,21 ;84852.81", 0 0 0
84852.81", 84852.81", ;42426.406* 0 0 0
,20000 ;4.,*5+;011 ;2,0000 10066".,21 125610.44* ;84852.81",
;4.,*5+;011 ;62,20 1.6540+;011 125610.44* 10066".,21 ;84852.81",
2,0000 ;1.654+;011 ;6,500 84852.81", 84852.81", ;42426.406*2042*"5.0, ;8.,"1+;011 2,0000 10066".,21 ;125610.44* 84852.81",
;8.,"1+;011 "420215.0, ;,0*,05.62, ;125610.44* 10066".,21 ;84852.81",
2,0000 ;,0*,05.62, 28,"52.814 ;84852.81", 84852.81", ;42426.406*
10066".,21 ;125610.44* ;84852.81", *54**0.1"4 0 0
;125610.44* 10066".,21 84852.81", 0 *54**0.1"4 ;""*411.255
84852.81", ;84852.81", ;42426.406* 0 ;""*411.255 16*,05.62,
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