frame2d balok miring metode kekakuan

8/18/2019 Frame2d Balok Miring Metode Kekakuan

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MEKANIKA REKAYASA V

Data beban

P = 100 kN

q1 = 24 kN/m

q2 = 48 kN/m

versi lengka


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STEP 1 : Discretize and Global Degrees o !reedo" #D$!%


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PENYE&ESAIAN :

Pro'erties 'ena"'ang

Bahan / material :

E = 2.35E+07 kN/m2

Batang 1 :

b = 0.30 m

h = 0.50 m

0.15 m2

E = 2.35E+07 kN/m2

3.13E03m4

2.5 m

Batang 3 :b = 0.30 m

h = 0.50 m

0.15 m2

E = 2.35E+07 kN/m2

3.13E03m4

2.5 m

Re(a' Ele"en dala" Matri(s Ke(a()an *atang

Batang EA / L 4.EI / L 2.EI / L 6.EI / L^2 12.EI / L^3 Sudut (deg) !"

1 1.41E+0# 1.18E+05 5.88E+04 7.05E+04 5.#4E+04 0 1

2 7.05E+05 5.88E+04 2.$4E+04 1.7#E+04 7.05E+03 3#.8#$8$7#4# 0.8

3 1.41E+0# 1.18E+05 5.88E+04 7.05E+04 5.#4E+04 0 1

4 %&'(/0) %&'(/0) %&'(/0) %&'(/0) %&'(/0) 0 1

5 %*E) %*E) %*E) %*E) %*E) %*E)

D$! ses)ai s)"b) global str)(t)r dan tent)(an *eban ata) Mo"en 'ada Titi( +oint Str)(t)r dala" Ara, S)"b) Global-S)"b) Str)(t

,1 =

'1 =

-1 =

A3 =

I3 =

L3 =


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DOF

1

1 1 0

2 2 0

3 3 0

2

4 d1 0

5 5 0

# d2 0

3

7 d3 0

8 8 0

$ d4 0

4

10 10 0

11 11 0

12 12 0

No"or .oint )nt)( setia' ele"ent

Ele"ent #i%+oint

. (

1 1 2

2 2 3

3 3 4

Dis'lace"ent titi( s)"b) global str)(t)r 'ada tia' ele"ent

Ele"ent . (

1 1 2 3 4 5 # ==> Global axis

2 4 5 # 7 8 $ ==> Global axis

3 7 8 $ 10 11 12 ==> Global axis

No.titik(oint!

Dis.GlobalAxis

B"ban #$o%"n


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==> Global axis

==> Global axis

Meng,it)ng Ga/a dan Mo"en 0.)ng #A(ibat beban l)ar di se'an.ang bentang dengan ).)ng di(e(ang-di.e'it% #DA&AM ARA S0M*0 &

Ga/a dan Mo"en 0.)ng 'ada Ele"ent 21:

&a = 0 kN &b = 0 kN'a = 30 kN 'b = 30 kN

$a = 12.5 kN.% $b = 12.5 kN.%


&a = 22.5 kN &b = 37.5 kN

'a = 25.3125 kN 'b = 54.#875 kN

$a = 35.15#25 kN.% $b = 58.5$375kN.%


&a = 0 kN &b = 0 kN

'a = #0 kN 'b = #0 kN

$a = 25 kN.% $b = 25 kN.%

Re(a' Ga/a 0.)ng *atang #S)"b) &o(al%

No. Btg)*ng ki+i ()! )*ng kanan (k!

Beban FX(j) Beban FY(j) Beban MZ(j) Beban FX() Beban FY() Beban MZ()

1 0 30 12.5 0 30 12.5

2 22.5 25.3125 35.15#25 37.5 54.#875 58.5$375

3 0 #0 25 0 #0 25

4 %*E) %*E) %*E) %*E) %*E) %*E)

5

Tent)(an 'ara"eter /ang dib)t),(an :

a. mb glbal trktr aa tia element

b. & eai mb glbal trktr


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. ,"s"s*aian sb lokal "l"%"nt d"ngan DOF a+a- global

d.

.

Loal Axis 1 2 3 4 5

/l"%"nt k" 1 1 2 3 d1 d2

/l"%"nt k" 2 d1.!"!#$d2!"!# d1.!"!#$d2!"!# d3 4 5

/l"%"nt k" 3 d1 d2 d3 7 8

/l"%"nt 01

Loal axis 1 2 3 4 5 #

Global axis 1 1 2 3 4 5

DOF 0 0 0 d1 0 d2

/l"%"nt 02

Loal axis 1 2 3 4 5 #Global axis 4 5 # 7 8 $

DOF d1 0 d2 0

d.

Ele"ent 1:

0 0 0 0

0 0 0 0

* = 0 0 1 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0 0 1

6atrik ranrmai 9* an 9* tia element

,"s"s*aian S* &$KA& "l"%"nt d"ngan S* G&$*A& dan D$! ara, global

6atrik ranrmai 9* an 9* tia element

α1

in α1

in α1

α1

α1

in α1

in α1

α1


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Ele"ent 3:

0 0 0 00 0 0 0

* = 0 0 1 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0 0 1

Ele"ent 4:

0 0 0 0

0 0 0 0

* = 0 0 1 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0 0 1

α1

in α1

in α1

α1

α1

in α1

in α1

α1

α1

in α1

in α1

α1

α1 in α1

in α1

α1


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5556 DA&AM S0M*0 &$KA&

Batang = 1

/l"%"n dala% %at+iks k"kak*an batang :

E, / - 4.E' / - 2.E' / - #.E' / -;2 12.E' / -;31.41E+0# 1.18E+05 5.88E+04 7.05E+04 5.#4E+04

!" = theta = 1

!< = in theta = 0

-al a"i 1 2 3 4 5 #

1 1410000 0 0 1410000 0 0

2 0 5#400 70500 0 5#400 70500

3 0 70500 117500 0 70500 587504 1410000 0 0 1410000 0 0

5 0 5#400 70500 0 5#400 70500

# 0 70500 58750 0 70500 117500

5556 DA&AM S0M*0 &$KA&

Batang = 2

/l"%"n dala% %at+iks k"kak*an batang :

E, / - 4.E' / - 2.E' / - #.E' / -;2 12.E' / -;3

7.05E+05 5.88E+04 2.$4E+04 1.7#E+04 7.05E+03

!" = theta = 0.8

!< = in theta = 0.#

-al a"i 1 2 3 4 5 #

1 705000 0 0 705000 0 0

2 0 7050 17#25 0 7050 17#25

3 0 17#25 58750 0 17#25 2$375

4 705000 0 0 705000 0 0

it)ng "atri(s (e(a()an batang 1 7SM18

961 =


962 =


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5 0 7050 17#25 0 7050 17#25

# 0 17#25 2$375 0 17#25 58750

5556 DA&AM S0M*0 &$KA&

Batang = 3

/l"%"n dala% %at+iks k"kak*an batang :E, / - 4.E' / - 2.E' / - #.E' / -;2 12.E' / -;3

1.41E+0# 1.18E+05 5.88E+04 7.05E+04 5.#4E+04

!" = theta = 1

!< = in theta = 0

-al a"i 1 2 3 4 5 #

1 1410000 0 0 1410000 0 0

2 0 5#400 70500 0 5#400 705003 0 70500 117500 0 70500 58750

4 1410000 0 0 1410000 0 0

5 0 5#400 70500 0 5#400 70500

# 0 70500 58750 0 70500 117500

rtkan eai mb glbal/trktr engan & lbal a"i : 1 2 3 4 5 #

1 2 3 4 1 2

4 # 7 $ 1 2

4 18#3738 10575 453738 10575 1410000 0

# 10575 17#250 10575 2$375 0 70500


$3 =

MATRIKS KEKAK0AN STR0KT0R 7SMS8


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7 453738 10575 18#3738 10575 0 0

$ 10575 2$375 10575 17#250 0 0

1 1410000 0 0 0 1410000 0

2 0 70500 0 0 0 5#400

3 0 58750 0 0 0 70500

5 33501# 5#400 33501# 14100 0 5#400

8 33501# 14100 33501# 5#400 0 0

10 0 0 1410000 0 0 0

11 0 0 0 70500 0 0

12 0 0 0 58750 0 0

0 0 0 0 0 0

0 0 0 0 0 0

0 0 0 0 0 0

0 0 0 0 0 0

0 0 0 0 0 0

0 0 0 0 0 0

it)ng Matri(s *eban +oint- NodalNodal orces:

a9 A(ibat beban di se'an.ang bentang #(ed)a ).)ng di(e(ang%

Ele"ent: 1 ranrmai b lk

-al a"i

0 1

30 2

= 12.5 3

0 4

30 512.5 #

96 =

9,6-1

9,61

9,61


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-al a"i

22.5 1

25.3125 2

= 35.15#25 3

37.5 4

54.#875 5

58.5$375 #


-al a"i

0 1

#0 2

= 25 30 4

#0 5

25 #

9,6-2

9,62

9,62

A$-

3

A$

3

A$3


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S)s)n "atri(s beban e(i;alen

@int b >lbal Element 1 Element 2

1 1 0 0

1 2 30 0

1 3 12.5 0

2 4 0 2.8125

,e = 2 5 30 + 33.75 +

2 # 12.5 35.15#25

3 7 0 2.8125

3 8 0 ##.253 $ 0 58.5$375

4 10 0 0

4 11 0 0

4 12 0 0

5 13 0 0

5 14 0 0

5 15 0 0

# 1# 0 0

# 17 0 0

# 18 0 0

b9 A(ibat *eban di .oint #(ed)a ).)ng di(e(ang%

@int b >lbal &

1 1 0 1

1 2 0 2

1 3 0 3

2 4 0 1

,A = 2 5 0 5


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2 # 0 2

3 7 0 3

3 8 0 8

3 $ 0 4

4 10 0 10

4 11 0 11

4 12 0 12

5 13 %N/, %N/,5 14 %N/, %N/,

5 15 %N/, %N/,

# 1# %N/, %N/,

# 17 %N/, %N/,

# 18 %N/, %N/,

c9 *eban (o"binasi ata) gab)ngan #Ae < A.%

@int b >lbal &

1 1 1 0 0

1 2 2 30 0

1 3 3 12.5 0

2 4 1 2.8125 0

, = 2 5 5 #3.75 + 0

2 # 2 22.#5#25 0

3 7 3 2.8125 0

3 8 8 12#.25 0

3 $ 4 33.5$375 0

4 10 10 0 0

4 11 11 #0 0

4 12 12 25 0

5 13 %N/, 0 %N/,

5 14 %N/, 0 %N/,

5 15 %N/, 0 %N/,

# 1# %N/, 0 %N/,

# 17 %N/, 0 %N/,

# 18 %N/, 0 %N/,

&ilaement / &ermai trktr


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TA*&E: +oint Dis'

+oint

1 = =9======>?1@ "xt

2 = =9===1B 1

3 = =9======>?1@ 2

4 = =9===31@ 3= 4

=

=

=

=

=

=

=

=

*eatin:

>,,>,, &,-,6 @N> E-E6EN

*atang: 1

&ermai trktr alam arah 6B >-B,- i batang 1C bb :

entkan n. b glbal ahl

1 1 0

2 2 0

3 3 0

4 1 $.717$#072E007

5 5 0

# 2 0.0001#4$$3#

>a


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0 1410000 0 0 1410000

30 0 5#400 70500 0

12.5 + 0 70500 117500 0

0 1410000 0 0 1410000

30 0 5#400 70500 0

12.5 0 70500 58750 0

*atang: 3

&ermai trktr alam arah 6B >-B,- i batang 2C bb :

entkan n. b glbal ahl

4 1 $.717$#072E007

5 5 0

# 2 0.0001#4$$3#

7 3 $.717$#071#E007

8 8 0

$ 4 0.000217$852

>a


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$ 4 0.000217$852

10 10 0

11 11 0

12 12 0

>a


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2 ; &E,& -intati 39.;


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p


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Defined DOF

after boundary conditions


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Batang 2 :

b = 0.30 m

h = 0.50 m

0.15 m2

E = 2.35E+07 kN/m2

3.13E03m4

5 m

!<

0

0.#

0

0

r

,2 =

'2 =

-2 =


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$KA&% :


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#

d3 === DOF s"s*ai sb global

# === DOF s"s*ai sb global$ === DOF s"s*ai sb global

+aian sb global :

+aian sb 4 = 1.x ? 2.@

+aian sb ; = 1.@ ? 2.x

+aian sb 8 = 4.x ? ;.@

+aian sb 9 = 4.@ ? ;.x

1 0 0 0 0 0

0 1 0 0 0 0

9* = 0 0 1 0 0 0

0 0 0 1 0 0

0 0 0 0 1 0

0 0 0 0 0 1

1 0 0 0 0 0

0 1 0 0 0 0


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0 0 1 0 0 0

0 0 0 1 0 0

0 0 0 0 1 0

0 0 0 0 0 1

0.8 0.# 0 0 0 0

0.# 0.8 0 0 0 0

9* = 0 0 1 0 0 0

0 0 0 0.8 0.# 0

0 0 0 0.# 0.8 0

0 0 0 0 0 1

0.8 0.# 0 0 0 0

0.# 0.8 0 0 0 0

0 0 1 0 0 0

0 0 0 0.8 0.# 00 0 0 0.# 0.8 0

0 0 0 0 0 1

1 0 0 0 0 0

0 1 0 0 0 0

9* = 0 0 1 0 0 0

0 0 0 1 0 0

0 0 0 0 1 0

0 0 0 0 0 1

1 0 0 0 0 0

0 1 0 0 0 0

0 0 1 0 0 0

0 0 0 1 0 0

0 0 0 0 1 0

0 0 0 0 0 1

9* =

9* =

9* =


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1 2 3 1 5

>lbal a"i 1 2 3 4 5

1 1410000 0 0 1410000 0

2 0 5#400 70500 0 5#400

3 0 70500 117500 0 705004 1410000 0 0 1410000 0

5 0 5#400 70500 0 5#400

# 0 70500 58750 0 70500

1 5 2 3 8

>lbal a"i 4 5 # 7 8

4 453738 33501# 10575 453738 33501#

5 33501# 258312 14100 33501# 258312

# 10575 14100 58750 10575 14100

7 453738 33501# 10575 453738 33501#

961 =

962

=


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8 33501# 258312 14100 33501# 258312

$ 10575 14100 2$375 10575 14100

3 8 4 10 11

>lbal a"i 7 8 $ 10 11

7 1410000 0 0 1410000 0

8 0 5#400 70500 0 5#400

$ 0 70500 117500 0 70500

10 1410000 0 0 1410000 0

11 0 5#400 70500 0 5#400

12 0 70500 58750 0 70500

3 8 4 10 11 12

7 8 $ 10 11 12

3 5 8 10 11 12 0 0

3 5 8 10 11 12

0 33501# 33501# 0 0 0 0 0

58750 5#400 14100 0 0 0 0 0

$3

=


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0 33501# 33501# 1410000 0 0 0 0

0 14100 5#400 0 70500 58750 0 0

0 0 0 0 0 0 0 0

70500 5#400 0 0 0 0 0 0

117500 70500 0 0 0 0 0 0

70500 314712 258312 0 0 0 0 0

0 258312 314712 0 5#400 70500 0 0

0 0 0 1410000 0 0 0 00 0 5#400 0 5#400 70500 0 0

0 0 70500 0 70500 117500 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

l ke glbal ==?

1 0 0 0 0 0

0 1 0 0 0 0

= 0 0 1 0 0 0 "

0 0 0 1 0 0

0 0 0 0 1 0

0 0 0 0 0 1

>lbal a"i

1 0

2 30

= 3 12.5

4 0

5 30

# 12.5

AMS 1 & . AM

L 1


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l ke glbal ==?

0.8 0.# 0 0 0 0

0.# 0.8 0 0 0 0

= 0 0 1 0 0 0 "

0 0 0 0.8 0.# 0

0 0 0 0.# 0.8 0

0 0 0 0 0 1

>lbal a"i

4 2.8125

5 33.75

= # 35.15#25

7 2.8125

8 ##.25

$ 58.5$375

l ke glbal ==?

1 0 0 0 0 0

0 1 0 0 0 0

= 0 0 1 0 0 0 "

0 0 0 1 0 00 0 0 0 1 0

0 0 0 0 0 1

>lbal a"i

7 0

8 #0

= $ 25

10 0

11 #0

AMS 2 & . AM

L 2

AMS 3 & . AM

L 3


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12 25

/l"%"nt 3 /l"%"nt 4 /l"%"nt ;

0 0 0 0

0 0 0 30

0 0 0 12.5

0 0 0 2.8125

0 + 0 + 0 = #3.75

0 0 0 22.#5#25

0 0 0 2.8125

#0 0 0 12#.25

25 0 0 33.5$375

0 0 0 0

#0 0 0 #0

25 0 0 25

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0


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ata lang , :

0 1 2.8125

30 2 22.#5#25

12.5 3 2.8125

2.8125 4 33.5$375

= #3.75 , = 1 0

22.#5#25 2 30

2.8125 3 12.5

12#.25 5 #3.75

33.5$375 8 12#.25

0 10 0

#0 11 #0

25 12 25%N/, 0 %N/,

%N/, 0 %N/,

%N/, 0 %N/,

%N/, 0 %N/,

%N/, 0 %N/,

%N/, 0 %N/,


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lace"ents

$)t')tCase CaseT/'e 01 03 04 R1 R3 R4

"xt "xt % % % adians adians adians

D/AD Lintati

D/AD Lintati =9======>?1@ =9===1B

D/AD Lintati =9======>?1@ =9===31@

D/AD Lintati

&ermai trktr alam arah 6B -D,- i batang 1C bb :

1 0 0 0 0 0

0 1 0 0 0 0

0 0 1 0 0 0 "

0 0 0 1 0 0

0 0 0 0 1 0

0 0 0 0 0 1

M 1 = R . DMS 1

∆M 1 &


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0 0 0 0 1.3702324#1

5#400 70500 0 30 11.#3204#$1

70500 58750 " 0 = 12.5 + $.#$3372425

0 0 $.717$#072E007 0 1.3702324#1

5#400 70500 0 30 11.#3204#$1

70500 117500 0.0001#4$$3# 12.5 1$.38#74485

&ermai trktr alam arah 6B -D,- i batang 2C bb :

0.8 0.# 0 0 0 0

0.# 0.8 0 0 0 0

0 0 1 0 0 0 "

0 0 0 0.8 0.# 0

0 0 0 0.# 0.8 0

0 0 0 0 0 1

0 0 7.7743#857E007 22.5 1.0$#185$#$

7050 17#25 5.83077#430E007 25.3125 0.$421$7$3$$

17#25 2$375 " 0.0001#4$$3# = 35.15#25 + 3.2#$50515

0 0 7.7743#8573E007 37.5 1.0$#185$#88

7050 17#25 5.83077#43E007 54.#875 0.$421$7$4

17#25 58750 0.000217$852 58.5$375 7.$804$484$7

D"5o+%asi st+*kt*+ dala% a+a- $B LO,AL di batang 36 sbb :

1 0 0 0 0 0

0 1 0 0 0 0

M 2 = R . DMS 2

∆M 2 &

M 3 = R . DMS 3


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0 0 1 0 0 0 "

0 0 0 1 0 0

0 0 0 0 1 0

0 0 0 0 0 1

0 0 $.717$#071#E007 0 1.3702324#1

5#400 70500 0 #0 15.3#7$530$

70500 58750 " 0.000217$852 = 25 + 25.#1325515

0 0 0 0 1.3702324#1

5#400 70500 0 #0 15.3#7$530$

70500 117500 0 25 12.80##27575

Aint *,6E %3 lal a"i Aint

2 1.370 1 3

2 75.3#8 2 3

2 50.#133 3 3

3 1.370 4 4

3 44.#32 5 4

3 12.1$34 # 4

T M3 M4 !ra"eEle" Ele"Station

,N7% ,N7% ,N7% "xt %

0 0 72.9 11 0

0 0 731.998 11 2.5

0 0 731.998 21 0

∆M 3 &


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0 0 7;.133 21 5

0 0 7;.133 31 0

0 0 712.1


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2

#

0

70500

58750

0

70500

117500

4

$

10575

14100

2$375

10575


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14100

58750

12

12

0

70500

58750

0

70500

117500

0 0 0 0 === &itata

0 0 0 0 4 1

0 0 0 0 # 2


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0 0 0 0 7 3

0 0 0 0 $ 4

0 0 0 0 1 1

0 0 0 0 2 2

0 0 0 0 3 3

0 0 0 0 5 5

0 0 0 0 8 8

0 0 0 0 10 100 0 0 0 11 11

0 0 0 0 12 12

0 0 0 0 0 0

0 0 0 0 0 0

0 0 0 0 0 0

0 0 0 0 0 0

0 0 0 0 0 0

0 0 0 0 0 0

0

30

12.5

0

30

12.5

ek


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22.5

25.312535.15#25

37.5

54.#875

58.5$375

ek

0

#0

25

0

#0

25

ek


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0 1 1

30 2 2

12.5 3 3

2.8125 4 1

,e = #3.75 5 5

22.#5#25 # 2

2.8125 7 3

12#.25 8 8

33.5$375 $ 40 10 10

#0 11 11

25 12 12

0 13 %N/,

0 14 %N/,

0 15 %N/,

0 1# %N/,

0 17 %N/,

0 18 %N/,


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b lkal DOF

0 0 1 1

0 0 2 2

0 = 0 3 3

$.717$#072E007 $.718E007 4 1

0 0 5 2

0.0001#4$$3# 0.0001#4$$ # 3


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b lkal & / b glbal

1.3702324#1 1 1

18.3#7$530$ 2 2

= 2.80##275752 3 3

1.3702324#1 4 1

41.#3204#$1 5 2

31.88#74485 # 3

b lkal DOF

$.717$#072E007 7.774E007 1 .!"!


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0.000217$852 = 0.000217$$ 3 3

0 0 4 7

0 0 5 8

0 0 # $

b lkal & / b glbal

1.3702324#1 1 1

75.3#7$530$ 2 2

= 50.#1325515 3 3

1.3702324#1 4 7

44.#3204#$1 5 8

12.1$3372425 # $


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$

1 0 0 0 0 0 1410000 0

0 1 0 0 0 0 0 5#400

0 0 1 0 0 0 C 0 70500

0 0 0 1 0 0 1410000 0 0 0 0 0 1 0 0 5#400

0 0 0 0 0 1 0 70500

$

0.8 0.# 0 0 0 0 705000 0

0.# 0.8 0 0 0 0 0 7050

0 0 1 0 0 0 C 0 17#25

7R8T 7SM8 7R8

7R8T 7SM8 7R8

0 0 0 0 8 0 # 0 705000 0


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0 0 0 0.8 0.# 0 705000 0

0 0 0 0.# 0.8 0 0 7050

0 0 0 0 0 1 0 17#25

$

1 0 0 0 0 0 1410000 0

0 1 0 0 0 0 0 5#400 0 0 1 0 0 0 C 0 70500

0 0 0 1 0 0 1410000 0

0 0 0 0 1 0 0 5#400

0 0 0 0 0 1 0 70500

"k:

lang manal

7 7 7 7

7 7 7 7

7R8T 7SM8 7R8


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7 7 7 7

7 7 7 7


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!ek


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!ek

!ek


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!ek


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0 1410000 0 0 1 0 0 0 0 0

70500 0 5#400 70500 0 1 0 0 0 0

117500 0 70500 58750 C 0 0 1 0 0 0 =

0 1410000 0 0 0 0 0 1 0 070500 0 5#400 70500 0 0 0 0 1 0

58750 0 70500 117500 0 0 0 0 0 1

0 705000 0 0 1 1 0 0 0 0

17#25 0 7050 17#25 1 1 0 0 0 0

58750 0 17#25 2$375 C 0 0 1 0 0 0 =

0 705000 0 0 0 0 0 1 1 0

17#25 0 7050 17#25 0 0 0 1 1 0


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17#25 0 7050 17#25 0 0 0 1 1 0

2$375 0 17#25 58750 0 0 0 0 0 1

0 1410000 0 0 1 0 0 0 0 0

70500 0 5#400 70500 0 1 0 0 0 0117500 0 70500 58750 C 0 0 1 0 0 0 =

0 1410000 0 0 0 0 0 1 0 0

70500 0 5#400 70500 0 0 0 0 1 0

58750 0 70500 117500 0 0 0 0 0 1


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1410000 0 0 1410000 0 0 1 0 0 0 0

0 5#400 70500 0 5#400 70500 0 1 0 0 0

0 70500 117500 0 70500 58750 C 0 0 1 0 0

1410000 0 0 1410000 0 0 0 0 0 1 00 5#400 70500 0 5#400 70500 0 0 0 0 1

0 70500 58750 0 70500 117500 0 0 0 0 0

5#4000 4230 10575 5#4000 4230 10575 0.8 0.# 0 0 0

423000 5#40 14100 423000 5#40 14100 0.# 0.8 0 0 0

0 17#25 58750 0 17#25 2$375 C 0 0 1 0 0

5#4000 4230 10575 5#4000 4230 10575 0 0 0 0.8 0.#

423000 5#40 14100 423000 5#40 14100 0 0 0 0.# 0.8


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0 17#25 2$375 0 17#25 58750 0 0 0 0 0

1410000 0 0 1410000 0 0 1 0 0 0 0

0 5#400 70500 0 5#400 70500 0 1 0 0 00 70500 117500 0 70500 58750 C 0 0 1 0 0

1410000 0 0 1410000 0 0 0 0 0 1 0

0 5#400 70500 0 5#400 70500 0 0 0 0 1

0 70500 58750 0 70500 117500 0 0 0 0 0


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!ED

0 1410000 0 0 1410000 0 0

0 0 5#400 70500 0 5#400 70500

0 = 0 70500 117500 0 70500 58750

0 1410000 0 0 1410000 0 0

0 0 5#400 70500 0 5#400 70500

1 0 70500 58750 0 70500 117500

!ED

0 453738 33501# 10575 453738 33501# 10575

0 33501# 258312 14100 33501# 258312 14100

0 = 10575 14100 58750 10575 14100 2$375


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