No 2 Sendi Sendi Jepit

104
PENOMORAN GLOBAL PENOMORAN LOKAL TABEL DATA BATANG BATANG NODE EI L i j 1.0000 1.0000 2.0000 1.0000 3.0000 2.0000 2.0000 3.0000 1.0000 2.5000 3.0000 3.0000 4.0000 1.0000 3.0000 2 . STRUKTUR GELAGAR  1 2 3 4 V1 V2 V3 1 2 3 4 1 2 3  1 2 V1 V2 1 2 1 2 3 V2 V3 2 3 2 3 4 V3 3 4 3

Transcript of No 2 Sendi Sendi Jepit

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PENOMORAN GLOBAL

PENOMORAN LOKAL

TABEL DATA BATANG

BATANGNODE

EI Li j

1.0000 1.0000 2.0000 1.0000 3.0000

2.0000 2.0000 3.0000 1.0000 2.50003.0000 3.0000 4.0000 1.0000 3.0000

2 . STRUKTUR GELAGAR

 1 2 3 4

V1 V2 V3

1 2 3 4

1 2 3

 1 2

V1 V2

1 2

1

2 3

V2 V3

2 3

2

3 4

V3

3 4

3

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MATRIKS KEKAKUAN LOKAL

Elemen 1

V1

1   = EI 0.4444

0.6667

-0.4444

0.6667

Elemen 2

V2

2   = EI 0.7680

0.9600

-0.7680

0.9600

Elemen 3

V3

3   = EI 0.4444

0.6667

-0.4444

0.6667

MATRIKS KEKAKUAN GLOBAL

V1 Ө1

0.4444 0.6667

0.6667 1.3333

-0.4444 -0.6667

EI 0.6667 0.6667

0 0

0 0

0 0

0 0

REARRANGEMENT

Ө1 Ө2

1.3333 0.6667

k l

k l

k l

k g   =

[ ]

+−++

−+−−

+−++

+−++

=

 L

 EI 

 L

 EI 

 L

 EI 

 L

 EI 

 L

 EI 

 L

 EI 

 L

 EI 

 L

 EI 

 L

 EI 

 L

 EI 

 L

 EI 

 L

 EI 

 L

 EI 

 L

 EI 

 L

 EI 

 L

 EI 

kl  i

4626

612612

2646

612612

22

2323

22

2323

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0.6667 2.9333

EI 0.0000 0.8000

0 0

0.6667 0.6667

-0.6667 0.2933

0.0000 -0.9600

0 0

Ө1 Ө2

1.3333 0.6667

0.6667 2.9333

EI 0.0000 0.8000

0.0000 0.0000

0.6667 0.6667

-0.6667 0.2933

0.0000 -0.96000.0000 0.0000

MOMEN PRIMER

Elemen 1

Elemen 2

Elemen 3

k g   =

k g   =

2000 kg/m

EI

4 m

1 2

M 12 M 21

    21

1500 kg/m

2 EI

3,5 m

2 3

M 23 M 32

    23$2"%1

2000 kg/m

2000 kg

EI

3 m 2,5 m

3 4

M 34 M 43

    342"%12

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ANALISIS BEBAN JOIN EKUIVALEN

Beban jon e!"#alen

El)*)+ 1

262.9630

1   = 177.7778

287.0370

-188.8889

262.9630   V1

177.7778   Ө1

412.0370   V2

= -136.8056   Ө2   =

167.1875   V3

-16.9271   Ө3

182.8125   V4

-77.3438   Ө4

Anal$a beban jon

A,

A,

2000 kg/m

EI

4 m

1 2

1500 kg/m

2 EI

3,5 m

2 3

2666,6667 kgm 2666,6667 kgm 1531,25 kgm 1531,25 kgm 6

4000 kg 4000 kg 2625 kg 2625 kg

666,6667 kg

4000 kg

437,5 kg

4000 kg 2625 kg 2625 kg

6625 kg 8

666,6667 kg

666,6667 kg 666,6667 kg 437,5 kg

437,5 kg

437,5 kg

2000 kg/m2000 kg/m

1500 kg/m

2000 kg

EI 2 EI EI

4 m 3,5 m 3 m 2,5 m A B C D

2666,6667 kgm 2666,6667 kgm 1531,25 kgm 1531,25 kgm6281,3361 kgm

2625 k

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-177.7778

136.8056

16.9271

= - A, = 77.3438

-262.9630

-412.0370

-167.1875

-182.8125

= '

0 -177.7778

0 136.8056

0 16.9271

= 0 ' 77.3438

-200 -263

0 -412

0 -167.188

0 -182.813

Ө1 Ө2

-177.7778 1.3333 0.6667

136.8056 0.6667 2.9333

16.9271 = EI 0.0000 0.8000

77.3438 0.0000 0.0000-462.9630 0.6667 0.6667

-412.0370 -0.6667 0.2933

AE

A   A    AE

2000 kg/m2000 kg/m

1500 kg/m

2000 kg

EI 2 EI EI

4 m 3,5 m 3 m 2,5 m A B C D

2666,6667 kgm 2666,6667 kgm 1531,25 kgm 1531,25 kgm6281,3361 kgm

4000 kg 4000 kg 2625 kg 2625 kg 6364,012 kg 663

EI 2 EI EI

 A B C D2666,6667 kgm 2666,6667 kgm 1531,25 kgm 1531,25 kgm 6281,3361 kgm 6529,

4000 kg 4000 kg 2625 kg 2625 kg 6364,012 kg 663

EI 2 EI EI

 A B C D2666,6667 kgm 2666,6667 kgm 1531,25 kgm 1531,25 kgm 6281,3361 kgm 6529,

4000 kg 6625 kg 8989,012 kg 663

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-167.1875 0.0000 -0.9600

-182.8125 0.0000 0.0000

BESARN%A PERPINDA&AN

-177.7778 1.3333 0.6667136.8056 = EI 0.6667 2.9333

16.9271 0.0000 0.8000

Ө1 1.3333 0.6667

Ө2 = 1 0.6667 2.9333

Ө3 EI 0.0000 0.8000

Ө1 0.85496 -0.20992

Ө2 = 1 -0.20992 0.41985

Ө3 EI 0.05725 -0.11450

Ө1 -179.7428

Ө2 = 1 92.8190

Ө3 EI -19.5437

De'o(ma$ S)("!)"( Global

0   V1

-179.7428   Ө1

0   V2

Ө   = 1 92.8190   Ө2

EI 0   V3

-19.5437   Ө3

0   V4

0.0000   Ө4

REAKSI TUMPUAN

,4 -77

G1 = 463 ' EI

G2 412

G3 167

G4 183

,4 -77 -13.029116306

/= /Ө/{ {

/= /Ө/{+ {   /= /' /Ө/{ { {

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G1 = 463 ' -57.949224272

G2 412 128.29353089

G3 167 -83.373422922

G4 183 13.029116306

,4 -90.3729 g*

G1 = 405.0137 g

G2 540.3306 gG3 83.8141 g

G4 195.8416 g

Kon)(ol

=   0

G1'G2'G3'G4-10025-15015-250-300-200

0.0000

, =   0

.-G10-G24-G375-G413'200042'30004'150035(4'3505"'300

PER&ITUNGAN GA%A UJUNG BATANG LOKAL

Elemen 1

G1 263

,1 = 177.7778 ' EIG2 287

,2 -188.8889

263 -57.9492

= 178 ' -177.7778

287 57.9492

-189 3.9301

205.0137

= 0344.9863

-184.9588

/=8({ 

@@

"/   /= ' { [ _ [ _

Ө_

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Elemen 2

G2 125

,2 = 52.08 ' EI

G3 125

,3 -52.08

125.0000 70.344306616

= 52.0833 ' 132.87545059

125.0000 -70.344306616

-52.0833 42.985315946

195.3443

= 184.9588

54.6557

-9.0980

Elemen 3

G3 42.1875

,3 = 35.1563 ' EI

G4 182.8125

,4 -77.3438

42.1875 -13.029116306

35.1563 ' -26.058232612

182.8125 13.029116306

-77.3438 -13.029116306

29.1584

9.0980

195.8416

-90

Kon)(ol *(eebo+,

2000 kg/m

EI

4 m

1 2

1500 kg/m

2 EI

3,5 m

2 3

2000 kg

EI

3 m 2,

3

2338,2244 kgm 2338,2244 kgm 7513,9898 kgm 7513,9898 kgm

4000 kg 4000 kg 2625 kg 2625 kg 5500 kg

3415,4439 kg

668,0641 kg 909,0909 kg

1366,18 kg

4584,5561 kg 1146,2099 kg 4103,7901 kg 7775,2709 kg

584,5561 kg

2146,8542 kg

584,5561 kg 668,0641 kg

2146,8542 kg

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Kon)(ol

=   0

34154439'5730766'11879061'52247291 =

1025.0000 =

PER&ITUNGAN MOMEN DAN LINTANG   (,)+gg:++

I

, =

, =

, =

I

, =

,*C

I

3415,4439 kg

668,0641 kg 909,0909 kg

1366,18 kg

4584,5561 kg 1146,2099 kg 4103,7901 kg 7775,2709 kg

5730,766 kg 11879,061 kg

584,5561 kg

2146,8542 kg

584,5561 kg 668,0641 kg

2146,8542 kg

2000 kg/m

EI

4 m

1 2

 2338,2244 kgm

3415,4439 kg 4584,5561 kg  

1500 kg/m

2 EI

3,5 m

2 3

 

2338,2244 kgm 7513,9898 kgm  

1146,2099 kg 4103,7901 kg  

2000 kg/m

3 4

  7513,9898 kgm

2000 kg

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, =

I

, =

PER&ITUNGAN MOMEN DAN LINTANG   (,)+g

0-4

,= -90.3729 - 2000.0000

0.0000 = 0.00000.5000 = -295.1864

1.0000 = -1090.3729

1.5000 = -2385.5593

2.0000 = -4180.7457

2.5000 = -6475.9322

3.0000 = -9271.1186

3.5000 = -12566.3050

4.0000 = -16361.4915

4-75

,= -90.3729 - 8000.00004.0000 = -16361.4915

4.5000 = -21891.6710

 2000 kg/m

EI

3 m 2,5 m

3 4

  7513,9898 kgm

  7775,2709 kg 5224,7291 kg

2000 kg

2000 kg/m 20001500 kg/m

3000 kg 3000 kg 2000 kg

EI 2 EI EI

4 m 3,5 m 3 m 2,5 m A B C D

3415,4439 kg 8730,766 kg 14879,061 kg 52

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5.0000 = -27796.8506

5.5000 = -34077.0302

6.0000 = -40732.2097

6.5000 = -47762.3893

7.0000 = -55167.5688

7.5000 = -62947.7484

75-105,= -90.3729 - 8000.0000

7.5000 = -62947.7484

8.0000 = -72395.2627

8.5000 = -82342.7770

9.0000 = -92790.2913

9.5000 = -103737.8055

10.0000 = -115185.3198

10.5000 = -127132.8341

105-13

,= -90.3729 - 8000.0000

10.5000 = -127132.8341

11.0000 = -140580.3484

11.5000 = -154527.8627

12.0000 = -168975.3769

12.5000 = -183922.8912

13.0000 = -199370.4055

GAMBAR DIAGRAM GA%A MOMEN DAN LINTANG

2000 kg/m 1500 kg/m

3000 kg 3000 kg 2000 kg

EI 2 EI EI

4 m 3,5 m 3 m 2,5 m A B C

7513,9898 kgm

2338,2244 kgm

7513,9898 kgm

4000 kgm

2296,875 kgm

10227,2727 kgm

+

+

Bi!a"g M%me"

&'(e)(%sisi

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2916,3143 kgm

2338,2244 kgm

1900,2920 kgm

7513,9898 kgm

6811,8228 kgm

6811,8228 kgm6811,8228 kgm

3415,4439 kg

4584,5561 kg

1146,2099 kg

4103,7901 kg

1.7077

4.7641

7775,2709 kg

1775,2709 kg

7513,9898 kgm

224,7291 kg

10227,2727 kgm

+

+

+

+ +

+

Bi!a"g #i"$a"g

Bi!a"g M%me"

0 2 4

1 3 5m

0 2000 4000

1000 3000 5000 kgm

0 2000 4000

1000 3000 5000 kg

&ka*a a)ak

&ka*a a-a M%me"

&ka*a a-a #i"$a"g

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1.7077

4.7641

0 2 4

1 3 5m

0 2000 4000

1000 3000 5000 kgm

0 2000 4000

1000 3000 5000 kg

&ka*a a-a M%me"

&ka*a a-a #i"$a"g

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12EI 6EI 4EI 2EI

L L

0.4444 0.6667 1.3333 0.6667

0.7680 0.9600 1.6000 0.80000.4444 0.6667 1.3333 0.6667

L3 L2

4

V4

4

4

V4

4

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Ө1 V2 Ө2

0.6667 -0.4444 0.6667   V1

1.3333 -0.6667 0.6667

-0.6667 0.4444 -0.6667   V2

0.6667 -0.6667 1.3333

Ө2 V3 Ө3

0.9600 -0.7680 0.9600   V2

1.6000 -0.9600 0.8000   Ө2

-0.9600 0.7680 -0.9600   V3

0.8000 -0.9600 1.6000   Ө3

Ө3 V4 Ө4

0.6667 -0.4444 0.6667   V3

1.3333 -0.6667 0.6667   Ө3

-0.6667 0.4444 -0.6667   V4

0.6667 -0.6667 1.3333   Ө4

V2 Ө2 V3 Ө3 V4

-0.4444 0.6667 0 0 0

-0.6667 0.6667 0 0 0

1.2124 0.2933 -0.7680 0.9600 0

0.2933 2.9333 -0.9600 0.8000 0

-0.7680 -0.9600 1.2124 -0.2933 -0.4444

0.9600 0.8000 -0.2933 2.9333 -0.6667

0 0 -0.4444 -0.6667 0.4444

0 0 0.6667 0.6667 -0.6667

Ө3 Ө4 V1 V2 V3

0 0 0.6667 -0.6667 0

Ө1

Ө2

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0.8000 0 0.6667 0.2933 -0.9600

2.9333 0.6666666667 0.0000 0.9600 -0.2933

0.6667 1.3333 0 0 0.6667

0 0 0.4444 -0.4444 0

0.96 0 -0.4444 1.2124 -0.768

-0.2933 0.6666666667 0.0000 -0.7680 1.2124

-0.6667 -0.6667 0 0 -0.4444

Ө3 Ө4 V1 V2 V3

0.0000 0.0000 0.6667 -0.6667 0.0000

0.8000 0.0000 0.6667 0.2933 -0.9600

2.9333   0.6667 0.0000 0.9600 -0.2933

0.6667 1.3333 0.0000 0.0000 0.6667

0.0000 0.0000 0.4444 -0.4444 0.0000

0.9600 0.0000 -0.4444 1.2124 -0.7680

-0.2933 0.6667 0.0000 -0.7680 1.2124-0.6667 -0.6667 0.0000 0.0000 -0.4444

= 177.7777778 g*

= -188.8889 g*

= 52.0833 g*

= -52.0833 g*

= 35.1563

= -77.3438

    12= (1    /"

  (1  / !"!

  #2(   〖 #2〗2

    32= #2(   〖 #2〗

$2"%12

  ( #32(6&2'4&'2 "

    43= #3( 2"%122

!

(4&'2

 "!

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El)*)+ 2 El)*)+ 3

125.0000

2   = 52.0833

125.0000

-52.0833

177.7778   Ө1

-136.8056   Ө2

-16.9271   Ө3

-77.3438   Ө4

262.9630   V1

412.0370   V2

167.1875   V3

182.8125   V4

A,   A,

kg/m

3

2000 kg/m

2000 kg

EI

3 m 2,5 m

3 4

1531,25 kgm 6281,3361 kgm 6529,27 kgm

2625 kg 5500 kg 5500 kg

909,0909 kg 1090,9091 kg

1142,0611 kg

1187,14 kg

2625 kg 6364,012 kg 6635,988 kg

8989,012

437,5 kg

437,5 kg 1142,0611 kg

1187,14 kg

2000 kg/m

00 kg

I

2,5 mD

6529,27 kgm

Reaksi

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Ө1

Ө2

Ө3

Ө4

V1

V2

V3

V4

= &)&+ ji+

= &)&+ ji

-177.7778   Ө1

136.8056   Ө2

16.9271   Ө3

= 77.3438   Ө4

-463   V1

-412   V2

-167.188   V3

-182.813   V4

Ө3 Ө4 V1 V2 V3

0.0000 0.0000 0.6667 -0.6667 0.0000

0.8000 0.0000 0.6667 0.2933 -0.9600

2.9333 0.6667 0.0000 0.9600 -0.2933

0.6667 1.3333 0.0000 0.0000 0.66670.0000 0.0000 0.4444 -0.4444 0.0000

0.9600 0.0000 -0.4444 1.2124 -0.7680

AE

2000 kg/m

00 kg

I

2,5 mD

6529,27 kgm

kg 6635,988 kg

I

D6529,27 kgm

kg 6635,988 kg

I

D6529,27 kgm

6635,988 kg

Reaksi

 Aksi

 Aksi

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-0.2933 0.6667 0.0000 -0.7680 1.2124

-0.6667 -0.6667 0.0000 0.0000 -0.4444

0.0000 Ө10.8000 Ө2

2.9333 Ө3

0.0000   -1 -177.7778

0.8000 136.8056

2.9333 16.9271

0.05725 -177.7778

-0.11450 136.8056

0.37214 16.9271

*

0.0000 0.0000 0.6667

0.6667 0.6667 0.0000 1

-0.6667 0.2933 0.9600 EI

0.0000 -0.9600 -0.2933

0.0000 0.0000 -0.6667

Ө/= /{  $(1" /{

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1225.0000

1225

 

= 0

= 0   O 

75'2000105'200055(75'5505"

3.268E-013

0.4444 0.6667 -0.4444 0.6667

0.6667 1.3333 -0.6667 0.6667 1-0.4444 -0.6667 0.4444 -0.6667 EI

0.6667 0.6667 -0.6667 1.3333

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0.7680 0.9600 -0.7680 0.9600

0.9600 1.6000 -0.9600 0.8000 1

-0.7680 -0.9600 0.7680 -0.9600 EI

0.9600 0.8000 -0.9600 1.6000

0.4444 0.6667 -0.4444 0.6667

0.6667 1.3333 -0.6667 0.6667 1

-0.4444 -0.6667 0.4444 -0.6667 EI

0.6667 0.6667 -0.6667 1.3333

2000 kg/m

2000 kg

EI

3 m 2,5 m

4

gm

500 kg 5500 kg

909,0909 kg 1090,9091 kg

366,18 kg

775,2709 kg 5224,7291 kg

1366,18 kg

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20004'150035'20004'2000

1025  

  ;-g; < :j:+g &>+g"

NTE?VAL 0@@3

205.0137

= 0.0000 = 0 g*

= 1.0000 = 205.0137 g*

205.0137 - 250 ( - 1"

= 1.0000 = 205.0137 g*

= 2.0000 = 410.0275 g*

205.0137 - 250 ( - 1" -

= 2.0000 = 410.0275 g*

= 3.0000 = 615.0412 g*

 TE?VAL 0@@25

195.3443 - 100

= 0.0000 = -184.9588 g*

= 0.5000 = -99.7866 g* = 1.0000 = -39.6145 g*

= 1.5000 = -4.4423

= 2.0000 = 5.7298

= 2.5000 = -9.0980

= D = 0 F

= 0.1302   , =   -160.3672   g*

 TE?VAL 0@@15

.2 /2

909,0909 kg 1090,9091 kg

366,18 kg

775,2709 kg 5224,7291 kg

kg

1366,18 kg

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29.1584

= 0.0000 = 0.0000 g*

= 0.5000 = 14.5792 g*

= 1.0000 = 29.1584 g*

= 1.5000 = 43.7376 g*

 TE?VAL 15@@3

29.1584 - 150.0000 .

= 1.5000 = -125.0124 g*

= 2.0000 = -241.6832 g*

= 2.5000 = -395.8540 g*

= 3.0000 = -587.5248 g*

:++ ?)Ci T>l"

(-2" ' 405.0137 (-4" -

.2 /2

2000 kg/m

kg

2,5 mD

5224,7291 kg

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(-2" ' 405.0137 (-4" -

(-2" ' 405.0137 (-4" -

2000 kg/m

2000 kg

EI

m 2,5 mD

10227,2727 kgm

+

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6811,8228 kgm

1775,2709 kg

24,7291 kg

5224,7291 kg

10227,2727 kgm

+

+

+

4

3 5m

4000

000 5000 kgm

4000

000 5000 kg

me"

$a"g

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4

3 5m

4000

000 5000 kgm

4000

000 5000 kg

me"

$a"g

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Ra-m A"la

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Ө4

0   V1

0   Ө1

0   V2

0   Ө2

0.6667   V3

0.6667   Ө3

-0.6667   V4

1.3333   Ө4

V4

0   Ө1

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0   Ө2

-0.666666667   Ө3

-0.6667   Ө4

0   V1

0   V2

-0.444444444   V3

0.4444   V4

V4

0.0000   Ө1

0.0000   Ө2

-0.6667   Ө3

-0.6667   Ө4

0.0000   V1

0.0000   V2

-0.4444   V30.4444   V4

-136.8056

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A B

266.6667 283.3333

59.2593 -59.2593

-62.9630 62.9630

262.9630 287.0370

412.0370

42.1875

3   = 35.1563

182.8125

-77.3438

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  ):il)+

V4

0.0000   Ө1

0.0000   Ө2

-0.6667   Ө3

-0.6667   Ө40.0000   V1

0.0000   V2

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-0.4444   V3

0.4444   V4

-179.7428

92.8190

-19.5437

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= 0

= 0   O 

0

-179.74283030

92.81899385

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0

92.8190

0

-19.5437

0

-19.54367446

0

0

A B B

266.6667 283.3333 125.0000 125.0000 56.2500

-61.6529 61.6529 73.9835 -73.9835 3.0327

-3.6392 3.6392 -30.1243

205.0137 344.9863 195.3443 54.6557 29.1584

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540.3306 83.8141

300 ( - 2"

- 184.9588

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-

3000.0000 (-4" - 1500.0000

05( - 15"2

.402 /2

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3000.0000 (-4" - 5250.0000 (-575" '

3000.0000 (-4" - 5250.0000 (-575" '

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B D

125.0000 125.0000 56.2500 168.7500

20.8333 -20.8333 11.7188 -11.7188

-20.8333 20.8333 -25.7813 25.781342.1875 182.8125

125.0000 125.0000

167.1875

0.0000

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D

168.7500

-3.0327

30.1243

195.8416

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- 1500

D = ,% = 195.3443 = 195.3443

= 0.0000 = -554.6557 g

= 0.5000 = -1304.6557 g = 1.0000 = -2054.6557 g

= 1.5000 = -2804.6557 g

= 2.0000 = -3554.6557 g

= 2.5000 = 195.3443 g

= 0.0000 = 195.3443 g

= 0.0000 g

- 2000.0000

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D = ,% = 29.1584 = 29.1584

= 0.0000 = -970.8416 g

= 0.5000 = -1970.8416 g

= 1.0000 = -2970.8416 g

= 1.5000 = 29.1584 g

= 0.0000 = 29.1584 g

= 0.0000 = 29.1584 g = 0.0000 g

- 2000.0000

D = ,% = 29.1584 = -4970.8416

= 1.5000 = -5970.8416 g

= 2.0000 = -6970.8416 g

= 2.5000 = -7970.8416 g

= 3.0000 = -1970.8416 g

= 0.0000 = -1970.8416 g

= 0.0000 g

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3000.0000 (-75"540.3306 (-75" - -

3000.0000 (-75"

540.3306 (-75" - -

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- 2000.0000

0-4

D=

4-75

D=

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75-1052000.0000 D=

105-13

2000.0000 - 2000.0000 (-105" D=

.7,502 /2

.7,502 /2

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-90.3729 - 2000.0000 ,A

0.0000 = -90.37290.5000 = -1090.3729

1.0000 = -2090.3729

1.5000 = -3090.3729

2.0000 = -4090.3729

2.5000 = -5090.3729

3.0000 = -6090.3729

3.5000 = -7090.3729

4.0000 = -8090.3729

-90.3729 - 8000.0000 ' 405.0137 - 3000.00004.0000 = HHH

4.5000 = HHH

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5.0000 = HHH

5.5000 = HHH

6.0000 = HHH

6.5000 = HHH

7.0000 = HHH

7.5000 = HHH

-90.3729 - 8000.0000 ' 405.0137 - 3000.0000

7.5000 = HHH

8.0000 = HHH

8.5000 = HHH

9.0000 = HHH

9.5000 = HHH

10.0000 = HHH

10.5000 = HHH

-90.3729 - 8000.0000 ' 405.0137 - 3000.0000

10.5000 = HHH

11.0000 = HHH

11.5000 = HHH

12.0000 = HHH

12.5000 = HHH

13.0000 = HHH

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= -0.0452 = 2.0418

- 1500.0000 (-4" ,A 140=

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- 5250.0000 ' 540.3306 - 3000.0000 -

- 5250.0000 ' 540.3306 - 3000.0000 -

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-7.1236-3.1236 ,= 21697.4751

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2000.0000 (-75"

2000.0000 (-75" - 2000.0000

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