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Tubo rettangolare Materiale

a b t L A Jmin E

[mm] [mm] [mm] [mm] [Mpa]

120 150 2.0 6136.44 944.00 260909.6! 210000

"n#tabilit$ globale %olonna &%r ' 143.61 ()

(

&annello a*L 210.9 M&a 4.000

&annello b*L 134.9! M&a 4.000

&%r' 12!.41 ()

+ ,16.20

[mm2] [mm4]

-%r'

-%r'

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e/ione a

a b t L A

[aim] [mm] [mm] [mm] [mm]

0.30 0 150 2.0 5224.3!9 612.00 13092.00

"n#tabilit$ globale %olonna &%r ' 30.5 ()

&annello a*L 50.42 M&a

&annello b*L 134.9! M&a

&%r' 30.5 ()

+ 0.00

[mm2] [mm3]

-%r'

-%r'

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Materiale Tubo uaro, Momen

g Jmin E a b

[mm] [Mpa] [aim] [mm] [mm]

21.39 406319.2! 210000 0.30 150 150.00

( &annello 2,4

0.425 &annello 3,4

4.000

M %riti%o i bu%(lin e

[mm4]

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o Materiale

t L A J el E

[mm] [mm] [Mpa] [aim]

1.5 4000 91.00 32!5093.25 4366!.91 210000 0.3

(

4!2.33 M&a 23.9

!9.05 M&a 4.0

!9.05

a#ti%o M%r ' 3.45 ()7m

[mm2] [mm4] [mm3]

-%r'

-%r'

-%r.min

'

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Tubo quadro- Formula di Von Karman Materiale

a b t L A E

[mm] [mm] [mm] [mm] [Mpa]

150 150.00 1.5 4000 91.00 210000

( 8

[Mpa] [aim] [aim] [mm]

&annello !9.05 4.0 0.50 14!.0

pigolo

e#i#ten/a in a##en/a i bu%(ling

e#i#ten/a in pre#en/a i bu%(ling

iu/ione re#i#ten/a a %au#a el bu%(ling

[mm2]

-%r

ap

)'

)b.

'

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Tubo quadro- Formula di Winter

a b t

[aim] [Mpa] [aim] [mm] [mm] [mm]

0.3 235 9.00 150 150.00 1.5

Ae Atot e:

[mm] [mm;] [mm;] [Mpa]

5.26 12!.9 &annello !9.05

2.25 520.55 pigolo

209.39 () e#i#ten/a in a##en/a i bu%(ling

122.33 () e#i#ten/a in pre#en/a i bu%(ling

-41.58% iu/ione re#i#ten/a a %au#a el bu

ap

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Materiale Tubo qua

L A E a

[mm] [Mpa] [aim] [Mpa] [aim] [mm]

4000 91.00 210000 0.3 235 9.00 150

( 8 Ae Atot e:

[aim] [aim] [mm] [mm] [mm;] [mm;]

4.0 0.496 14!.0 !2.90 109.34 &annello

2.25 446.3 pigolo

209.39 () e#i#ten/a

104.90 () e#i#ten/a

(ling -49.90% iu/ione

ap

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ro- Formula di Winter Modi!ata Materiale

b t L A E

[mm] [mm] [mm] [Mpa] [aim] [Mpa]

150.00 1.5 4000 91.00 210000 0.3 235

( 8 Ae

[Mpa] [aim] [aim] [mm] [mm] [mm;]

!9.05 4.0 0.506 14!.0 !4.3 111.5!

2.25

in a##en/a i bu%(ling 209.39 ()

in pre#en/a i bu%(ling 10".99 ()

re#i#ten/a a %au#a el bu%(ling -48.90%

[mm2]

-%r

ap

ae

)'

)b.

'

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0.22

0.055

+

0.!4165!39

41!.!!! 0.!506991 0.!3991

1.0001!04 ,0.0001!04

115.

!335.2

63.3262=

36.6!13 2666666.!

136.6!14 53!916.1!

320452. !45956.419

3.4

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Tubo quadro- Formula #$3-1-5

a b t L A

[aim] [mm] [mm] [mm] [mm]

9.00 150.00 150.00 1.5 4000 91.00

Atot e: (

[mm;] [Mpa] [aim] [aim]

&annello !9.05 4.0 1.!24

455.2 pigolo

e#i#ten/a in a##en/a i bu%(ling

e#i#ten/a in pre#en/a i bu%(ling

iu/ione re#i#ten/a a %au#a el bu%(ling

app

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Tubo rettanolare &ura 'e((ione- Formula #$3-1-5

a b t L A

[mm] [mm] [mm] [mm]

100.00 200.00 2.0 4000 114.00

? (

[Mpa] [aim] [aim]

&annello #up 329.51 1.0 4.0

&annelle @ert ,1.0

pigolo

e#i#ten/a in a##en/a i bu%(ling

e#i#ten/a in pre#en/a i bu%(lingiu/ione re#i#ten/a a %au#a el bu%(ling

30!029! !02036

513!0.2 11063.6

12.0!2

[mm3]

-%r

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Materiale Tubo )tta

E r

[Mpa] [aim] [Mpa] [aim] [aim] [mm]

210000 0.3 235 1.00 9.00 150

? 8 Ae Atot.e:

[aim] [aim] [mm;] [mm;] [mm;]

1.0 0.506 220.5 111.5! &annello

2.25 455.2!634 pigolo

Bon C. inter inter Mo E3,1,5

209.39 209.39 209.39 209.39 e#i#ten/a

122.33 104.90 106.99 10".99 e#i#ten/a

,41.5D ,49.90D ,4.90D -48.90% iu/ione

b

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Materiale

e E

[Mpa] [aim] [Mpa] [aim] [aim] [aim]

64303.!9 210000 0.3 235 1.00 4.00 9.00

8

[aim] [aim] [mm]

0.44 0.!6 .063

Bon C. inter inter Mo E3,1,5

0.00 0.00 0.00 2*8.24

0.00 0.00 0.00 0.000.00D 0.00D 0.00D -100.00%

a

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onale- Materiali

n lati t b A E

[] [mm] [mm] [mm] [aim] [Mpa]

1.5 114.1 113.56 !5.!1 13!0.20 210000

( ? 8

[Mpa] [aim] [aim] [aim] [aim]

132.46 4.0 1.332 1.0 0.62!

E3,1,5

in a##en/a i bu%(ling 322.00 ()

in pre#en/a i bu%(ling 202.4* ()

re#i#ten/a a %au#a el bu%(ling -3*.12%

b1

b1p

)'

)b.

'

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[aim] [Mpa] [aim]

0.3 235 1.00

Ae Atot.e:

[mm;] [mm;] [mm;]

1!0.34 106.!6

0.932 61.5!0!

b17t

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p#i (

1.0 4.000

0.9 4.202

0. 4.4160.! 4.654

0.6 4.92

0.5 5.250

0.4 5.632

0.3 6.06

0.2 6.624

0.1 !.25

0.0 .000

,0.1 .62

,0.2 9.56

,0.3 10.994

,0.4 12.2

,0.5 13.!50

,0.6 15.392

,0.! 1!.226

,0. 19.264

,0.9 21.51

,1.0 24.000

p#i (

1.0 4.000 4.00 4.000 11.300 0

0.9 4.205 4.00 4.205 10.0!1 0.0059

0. 4.432 4.00 4.432 9.03! 0.04!4

0.! 4.66 4.00 4.66 .199 0.16146

0.6 4.9!0 4.00 4.9!0 !.55! 0.32!2

0.5 5.290 4.00 5.290 !.110 0.!4!5

0.4 5.655 4.00 5.655 6.59 1.2916

0.3 6.0!4 4.00 6.0!4 6.03 2.05114

0.2 6.560 4.00 6.560 6.943 3.061!6

0.1 !.130 4.00 !.130 !.2!9 4.35942

0.0 !.10 4.00 !.10 !.10 5.9

,0.1 .53! 4.00 .632 .53! !.9593

0.0.51.01.5

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,0.2 9.459 4.00 9.64! 9.459 10.33344

,0.3 10.5!! 4.00 10.933 10.5!! 13.1306

,0.4 11.91 4.00 12.615 11.91 16.40912

,0.5 13.400 4.00 14.909 13.400 20.125

,0.6 15.105 4.00 1.222 15.105 24.4940

,0.! 1!.005 4.00 23.429 1!.005 29.3!9!4

,0. 19.101 4.00 32.00 19.101 34.!536,0.9 21.393 4.00 54.66! 21.393 41.0162

,1.0 23.0 4.00 164.000 23.0 4!.40.00.51.01.5

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,1.5,1.0,0.5

0.0

5.0

10.0

15.0

20.0

25.0

30.0

15.0

20.0

25.0

30.0

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,1.5,1.0,0.5

0.0

5.0

10.0

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a b

1 2 3 4

a

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4.5 !.2600 4.6944 4.055!

4.6 !.4!90 4.!!64 4.0!6

4.! !.!036 4.619 4.1049

4. !.9336 4.9506 4.1344

4.9 .1691 5.0426 4.16!0

5 .4100 5.13! 4.2025

5.1 .6563 5.2360 4.2405.2 .90!9 5.33!3 4.21!

5.3 9.1649 5.4415 4.3252

5.4 9.42!2 5.546 4.3!12

5.5 9.694! 5.656 4.4196

5.6 9.96!6 5.!!14 4.4!02

5.! 10.2456 5.!0 4.5231

5. 10.529 6.0053 4.5!1

5.9 10.1!4 6.1263 4.6353

6 11.1111 6.2500 4.6944

6.1 11.4100 6.3!63 4.!556

6.2 11.!141 6.5052 4.1!

6.3 12.0233 6.636 4.3!

6.4 12.33!! 6.!!0 4.9506

6.5 12.65!2 6.90!5 5.0193

6.6 12.91 !.0466 5.09

6.! 13.3116 !.13 5.1621

6. 13.6465 !.3324 5.2360

6.9 13.965 !.4!90 5.311!

! !.621 5.390

!.1 !.!!96 5.460

!.2 !.9336 5.546

!.3 .0900 5.6309

!.4 .24 5.!14!

!.5 .4100 5.001

!.6 .5!36 5.!0

!.! .!396 5.9!55

!. .90!9 6.0655

!.9 9.0!! 6.15!0

9.251! 6.2500

.1 9.42!2 6.3445

.2 9.6050 6.4405

.3 9.!51 6.53!9

.4 9.96!6 6.636

.5 10.1523 6.!3!1

.6 10.3395 6.3

.! 10.529 6.9420

. 10.!20! !.0466

.9 10.914! !.1526

9 11.1111 !.2600

9.1 11.309 !.36

9.2 11.510 !.4!90

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9.3 11.!141 !.5906

9.4 11.9196 !.!036

9.5 12.12!5 !.1!9

9.6 12.33!! !.9336

9.! 12.5501 .050!

9. 12.!64 .1691

9.9 12.91 .2910 13.2011 .4100

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1

1.4142 0

1.4142 4.5000

0 1 2 3 4 5 6 ! 9 10 11

0

1

2

3

4

5

6

!

9

0

1

23

4

5

6

!

9

0

1

2

3

4

56

!

9

m'1

m'2

m'3

m'4

a+b

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a b

1 2 3 4

a

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4.5

4.6

4.!

4.

4.9

5

5.15.2

5.3

5.4

5.5

5.6

5.!

5.

5.9

6

6.1

6.2

6.3

6.4

6.5

6.6

6.!

6.

6.9

!

!.1

!.2

!.3

!.4

!.5

!.6

!.!

!.

!.9

.1

.2

.3

.4

.5

.6

.!

.

.9

9

9.1

9.2

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9.3

9.4

9.5

9.6

9.!

9.

9.910

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1

1.4142 0

1.4142 EFG

0 1 2 3 40

2

4

6

10

12

14

16

1

20

22

24

26

2

30

32

34

36

m'1

m'2

m'3

m'4

a+b

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