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4. Zadatak

Za prikazanu dispoziciju krova dimenzionisati veza usvajajui da su gornji pojas, donji pojas,dijagonale i vertikale, svaka grupa tapova posebno, konstantnog preseka. Veze u voru ostvaritizavarivanjem a vor usvojiti i dokazati na najoptereenijem mestu. Poprene preseke tapova

usvojiti kako je zadato.

8xa

h

B

B

B

B

B

Veza

ronjae

ronjae

ronjae

Veza q = 2,0 kN/m2

a = 2,7 mh = 2,0 mB= 9,0 m

pojasevi: []

ispuna: []

Osnovni materijal: S235

Sluaj optereenja: I

Radioniki crte prva dva polja dati u razmeri: 1:10

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Analiza optereenja na ronjau

= 2,7m q = 2,0kN/m2x2,7m = 5,4kN/m

q

9,0m

RV RV

RV= 5,4kN/m x 9,0m/2 = 24,3kN

Odreivanje merodavnih uticaja u vezau

8x2, 7 = 21, 6 m

2,0 m

min

UmaxDmax Dmin

Vmin

2xRR2xRR/22xRR/2

RvRv

RUmax

ROmin

D

a

a

b

b

Reakcije vezaa:

RV= 2x24,3x(7+2*1/2)/2 = 194,4kN

Moment oko Rihter-ovog vora za merodavni tap donjeg pojasa (polje do sredine raspona)

MR,Umax= (194,4-24,3)x4x2,7-48,6x(2,7+5,4+8,1)=1049,8kN

Moment oko Rihter-ovog vora za merodavni tap gornjeg pojasa (polje do sredine raspona)

MR,Omin= (194,4-24,3)x3x2,7-48,6x(2,7+5,4)=984,1kN

Transferzalna sila u prvom polju do oslonca (za merodavnu silu zatezanja u dijagonalama)

Ta-a= 194,4-24,3 = 170,1kN

Transferzalna sila u drugom polju do oslonca (za merodavnu silu pritiska u dijagonalama)

Tb-b= 194,4-24,3-48,6 = 121,5kN

Merodavna sila u donjem pojasu

Omin= -MR,Omin/h = -984,15/2,0 = 492,0kN

Merodavna sila u gornjem pojasu

Umax= MR,Umax/h = 1049,8/2,0 = 524,9kN

Merodavne sile u dijagonalama

Dmax= Ta-a/ sin= 170,1/sin36,5 = 286,0kN

Dmin = -Tb-b / sin= -524,9/sin36,5 = -204,3kN

Merodavna sila u vertikali

Vmin= -2xRR= -48,8kN

* (-) pritisnut tap

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Dimenzionisanje

Osnovni materijal: S235 dop= 16,0 kN/cm2

potrAUUmax/ dop= 524,9 / 16,0 = 32,8 cm2

potrAOOmin/ i,dop= 492,0 / 14,5 = 33,9 cm2

==

== 2

,min

2max

0,170,12/3,204/

9,170,16/0,286/

cmD

cmDA

dopi

dop

Dpotr

potrAVVmin/ i,dop= -48,6 / 8,0 = 6,1 cm2

Doputeni napon izvijanja - i,dopu prethodnim izrazima mora se pretpostaviti. Ovde, u principu,nema nekih naroitih pravila poto problem nije jednoznano odreen pa se primenjuju iskustveni

podaci (za neku prvu iteraciju moe se uzeti da je i,dop0,75dopto je u ovom primeru uraeno usluaju dijagonale, za pojas je pretpostavljeno i,dop0,90dopa za vertikalu i,dop0,50dop)

pretpostavljaju se sledei profili: gornji pojas 180x180x5 0361

donji pojas 160x160x5,6 0361

dijagonale 120x80x5 - 0361vertikale 100x40x2,5 - 0361

*-Prilikom izbora profila rukovoditi se sledeim pravilima: irina gornjeg i donjeg pojasa treba da je ista ili priblino ista Ako su kutije pravougaone onda je njihova Prirodna orijentacija horizontalna kako za

pojaseve tako i za ispunu (ovo proizilazi iz zahteva da krutost tapova u ravni reetke budeto manja kao i iz injenice da je duina izvijanja u ravni reetke ista ili manja od duineizvijanja van ravni reetke).

Prilikom izbora profila za ispunu voditi rauna da horizontalna dimenzija profila - bi

(dimenzija upravna na ravan reetke) bude u okvirina 0,4bo,max

bi

bo,mingde je sa bo,maxodnosno bo,min oznaena minimalna odnosno maksimalna irina profila pojasnih tapova(ovo proizilazi iz zahteva da je mogue fiziko naleganje kao i iz uslova da ne doe dolokalmog deformisanja zida kutije na mestima spajanja)

1 2

b

t

N N

g

bb

h

h

t

t

0

0

1 21 2

1 2

1 2

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POS:U (donji pojas)

160x160x5,6A=34,2 cm2

ix= iy= 6,3cm

x

y

y

x

Kontrola napona: 2max kN/cm4,152,34

9,524==

/=

A

U

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POS: O (gornji pojas)

180x180x5A=34,7 cm2

ix= iy= 7,1cm

x

y

y

x

0,381,7

0,270

)(

)()( ===

yx

yx

yxi

l 409,0

9,92

9,49)()( ===

v

yx

yx

kriva izvijanja C =0,489

( )

892,0

4

2

2,01

22

2

=

+

=

++=

x

xx

Kontrola napona:

2,

2min kN/cm3,140,16892,0kN/cm2,137,34

0,492===

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POS: V ( vertikala )

100x40x2,5A=6,6 cm2

ix= 1,7 cmiy= 3,4 cm

x

y

y

x

cmllcmxll yixi 0,2000,1602008,08,0 ,, =====

===

====

8,584,3/0,200/

1,947,1/0,160/max

,

,

yyiy

xxix

il

il

kriva izvijanja C =0,489 ( )

534,04

2

2,01

010,19,92/1,94/

22

2

=

+

=

++=

===

v

Kontrola napona:

2,

2min kN/cm5,80,16534,0kN/cm4,76,6

6,48===

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HLADNOOBLIKOVANE KVADRATNE KUTIJE

masa povrina paramear moment poluprenik elastini otporni plastini otporni

preseka lokalne vitkosti inercije inercije moment moment

axb t A a/t I i Wel Wpl Jt Ct Ao,m Ao,g

mm mm kg/m cm2 - cm4 cm cm3 cm3 cm4 cm3 m2/m m2/t

25x25 2.0 1.36 1.7 7.5 1.5 0.9 1.2 1.5 2.5 1.8 0.1 68.5

25x25 2.5 1.64 2.1 5.0 1.7 0.9 1.4 1.7 3.0 2.1 0.1 55.7

25x25 3.0 1.89 2.4 3.3 1.8 0.9 1.5 1.9 3.3 2.3 0.1 47.5

30x30 2.0 1.68 2.1 10.0 2.7 1.1 1.8 2.2 4.5 2.8 0.1 67.3

30x30 2.5 2.03 2.6 7.0 3.2 1.1 2.1 2.6 5.4 3.2 0.1 54.7

30x30 3.0 2.36 3.0 5.0 3.5 1.1 2.3 3.0 6.2 3.6 0.1 46.6

40x40 2.0 2.31 2.9 15.0 6.9 1.5 3.5 4.1 11.3 5.2 0.2 66.2

40x40 2.5 2.82 3.6 11.0 8.2 1.5 4.1 5.0 13.6 6.2 0.2 53.5

40x40 3.0 3.30 4.2 8.3 9.3 1.5 4.7 5.7 15.8 7.1 0.2 45.5

40x40 4.0 4.20 5.4 5.0 11.1 1.4 5.5 7.0 19.4 8.5 0.1 34.8

50x50 2.0 2.93 3.7 20.0 14.1 2.0 5.7 6.7 22.6 8.5 0.2 65.9

50x50 2.5 3.60 4.6 15.0 16.9 1.9 6.8 8.1 27.5 10.2 0.2 53.1

50x50 3.0 4.25 5.4 11.7 19.5 1.9 7.8 9.4 32.1 11.8 0.2 44.7

50x50 4.0 5.45 7.0 7.5 23.7 1.9 9.5 11.7 40.4 14.4 0.2 34.1

50x50 5.0 6.56 8.4 5.0 27.0 1.8 10.8 13.7 47.5 16.6 0.2 27.9

60x60 3.0 5.19 6.6 15.0 35.1 2.3 11.7 14.0 57.1 17.7 0.2 44.3

60x60 4.0 6.71 8.6 10.0 43.6 2.3 14.5 17.6 72.6 22.0 0.2 33.7

60x60 5.0 8.13 10.4 7.0 50.5 2.2 16.8 20.9 86.4 25.6 0.2 27.4

70x70 2.5 5.17 6.6 23.0 49.4 2.7 14.1 16.5 78.5 21.2 0.3 52.4

70x70 3.0 6.13 7.8 18.3 57.5 2.7 16.4 19.4 92.4 24.7 0.3 44.0

70x70 3.5 7.06 9.0 15.0 65.1 2.7 18.6 22.2 106.0 28.0 0.3 38.0

70x70 4.0 7.97 10.1 12.5 72.1 2.7 20.6 24.8 119.0 31.1 0.3 33.4

70x70 5.0 9.70 12.4 9.0 84.6 2.6 24.2 29.6 142.0 36.7 0.3 27.1

80x80 3.0 7.07 9.0 21.7 87.8 3.1 22.0 25.8 140.0 33.0 0.3 43.8

80x80 3.5 8.16 10.4 17.9 99.8 3.1 25.0 29.5 161.0 37.6 0.3 37.7

80x80 4.0 9.22 11.7 15.0 111.0 3.1 27.8 33.1 180.0 41.8 0.3 33.2

80x80 5.0 11.30 14.4 11.0 131.0 3.0 32.9 39.7 218.0 49.7 0.3 26.8

80x80 6.0 13.20 16.8 8.3 149.0 3.0 37.3 45.8 252.0 56.6 0.3 22.7

90x90 3.0 8.01 10.2 25.0 127.0 3.5 28.3 33.0 201.0 42.5 0.4 43.7

90x90 3.5 9.26 11.8 20.7 145.0 3.5 32.2 37.9 232.0 48.5 0.3 37.6

90x90 4.0 10.50 13.3 17.5 162.0 3.5 36.0 42.6 261.0 54.2 0.3 33.0

90x90 5.0 12.80 16.4 13.0 193.0 3.4 42.9 51.4 316.0 64.7 0.3 26.8

90x90 6.0 15.10 19.2 10.0 220.0 3.4 49.0 59.5 368.0 74.2 0.3 22.5

100x100 3.0 8.96 11.4 28.3 177.0 3.9 35.4 41.2 279.0 53.2 0.4 43.5

100x100 4.0 11.70 14.9 20.0 226.0 3.9 45.3 53.3 362.0 68.1 0.4 33.0

100x100 5.0 14.40 18.4 15.0 271.0 3.8 54.2 64.6 441.0 81.7 0.4 26.6

100x100 6.0 17.00 21.6 11.7 311.0 3.8 62.3 75.1 514.0 94.1 0.4 22.3

100x100 8.0 21.40 27.2 7.5 366.0 3.7 73.2 91.1 645.0 114.0 0.4 17.1

torzione povrinadimenzije

konstante za farbanje

y

zz

y

rmax=

3t

ta

a

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masa povrina paramear moment poluprenik elastini otporni plastini otporni

preseka lokalne vitkosti inercije inercije moment moment

axb t A a/t I i Wel Wpl Jt Ct Ao,m Ao,g

mm mm kg/m cm2 - cm4 cm cm3 cm3 cm4 cm3 m2/m m2/t

120x120 4.0 14.20 18.1 25.0 402.0 4.7 67.0 78.3 637.0 101.0 0.5 32.8

120x120 5.0 17.50 22.4 19.0 485.0 4.7 80.9 95.4 778.0 122.0 0.5 26.5

120x120 6.0 20.70 26.4 15.0 562.0 4.6 93.7 112.0 913.0 141.0 0.5 22.2

120x120 8.0 26.40 33.6 10.0 677.0 4.5 113.0 138.0 1160.0 175.0 0.4 16.9

120x120 10.0 31.80 40.6 7.0 777.0 4.4 129.0 162.0 1380.0 203.0 0.4 13.7

140x140 4.0 16.80 21.3 30.0 652.0 5.5 93.1 108.0 1020.0 140.0 0.5 32.5

140x140 5.0 20.70 26.4 23.0 791.0 5.5 113.0 132.0 1260.0 170.0 0.5 26.2

140x140 6.0 24.50 31.2 18.3 920.0 5.4 131.0 155.0 1480.0 198.0 0.5 22.0

140x140 8.0 31.40 40.0 12.5 1130.0 5.3 161.0 194.0 1900.0 248.0 0.5 16.8

140x140 10.0 38.10 48.6 9.0 1310.0 5.2 187.0 230.0 2270.0 291.0 0.5 13.6

150x150 4.0 18.00 22.9 32.5 808.0 5.9 108.0 125.0 1260.0 162.0 0.6 32.6

150x150 5.0 22.30 28.4 25.0 982.0 5.9 131.0 153.0 1550.0 197.0 0.6 26.1

150x150 6.0 26.40 33.6 20.0 1150.0 5.8 153.0 180.0 1830.0 230.0 0.6 21.9

150x150 8.0 33.90 43.2 13.8 1410.0 5.7 188.0 226.0 2360.0 289.0 0.6 16.7

150x150 10.0 41.30 52.6 10.0 1650.0 5.6 220.0 269.0 2840.0 341.0 0.6 13.5

160x160 4.0 19.30 24.5 35.0 987.0 6.3 123.0 143.0 1540.0 185.0 0.6 32.4

160x160 5.0 23.80 30.4 27.0 1200.0 6.3 150.0 175.0 1900.0 226.0 0.6 26.2

160x160 6.0 28.30 36.0 21.7 1410.0 6.3 176.0 206.0 2240.0 264.0 0.6 21.9

160x160 8.0 36.50 46.4 15.0 1740.0 6.1 218.0 260.0 2900.0 334.0 0.6 16.6

160x160 10.0 44.40 56.6 11.0 2050.0 6.0 256.0 311.0 3490.0 395.0 0.6 13.4

180x180 5.0 27.00 34.4 31.0 1740.0 7.1 193.0 224.0 2720.0 290.0 0.7 26.0

180x180 6.0 32.10 40.8 25.0 2040.0 7.1 226.0 264.0 3220.0 340.0 0.7 21.8

180x180 8.0 41.50 52.8 17.5 2550.0 6.9 283.0 336.0 4190.0 432.0 0.7 16.5

180x180 10.0 50.70 64.6 13.0 3020.0 6.8 335.0 404.0 5070.0 515.0 0.7 13.4

180x180 12.0 58.50 74.5 10.0 3320.0 6.7 369.0 454.0 5870.0 584.0 0.7 11.2

180x180 12.5 60.50 77.0 9.4 3410.0 6.7 378.0 467.0 6050.0 600.0 0.7 10.8

200x200 5.0 30.10 38.4 35.0 2410.0 7.9 241.0 279.0 3760.0 362.0 0.8 26.0

200x200 6.0 35.80 45.6 28.3 2830.0 7.9 283.0 330.0 4460.0 426.0 0.8 21.8

200x200 8.0 46.50 59.2 20.0 3570.0 7.8 357.0 421.0 5820.0 544.0 0.8 16.5

200x200 10.0 57.00 72.6 15.0 4250.0 7.7 425.0 508.0 7070.0 651.0 0.8 13.3

200x200 12.0 66.00 84.1 11.7 4730.0 7.5 473.0 576.0 8230.0 743.0 0.7 11.2

200x200 12.5 68.30 87.0 11.0 4860.0 7.5 486.0 594.0 8500.0 765.0 0.7 10.8

250x250 6.0 45.20 57.6 36.7 5670.0 9.9 454.0 524.0 8840.0 681.0 1.0 21.7

250x250 8.0 59.10 75.2 26.3 7230.0 9.8 578.0 676.0 11600.0 878.0 1.0 16.3

250x250 10.0 72.70 92.6 20.0 8710.0 9.7 697.0 822.0 14200.0 1060.0 1.0 13.2

250x250 12.0 84.80 108.0 15.8 9860.0 9.6 789.0 944.0 16700.0 1230.0 0.9 11.1

250x250 12.5 88.00 112.0 15.0 10200.0 9.5 813.0 975.0 17300.0 1270.0 0.9 10.6

300x300 8.0 71.60 91.2 32.5 12800.0 11.8 853.0 991.0 20300.0 1290.0 1.2 16.3

300x300 10.0 88.40 113.0 25.0 15500.0 11.7 1030.0 1210.0 25000.0 1570.0 1.2 13.1

300x300 12.0 104.00 132.0 20.0 17800.0 11.6 1180.0 1400.0 29500.0 1830.0 1.1 11.0

300x300 12.5 108.00 137.0 19.0 18300.0 11.6 1220.0 1450.0 30600.0 1890.0 1.1 10.6

konstante za farbanje

dimenzije torzione povrina

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HLADNOOBLIKOVANE PRAVOUGAONE KUTIJE

masa povrina

preseka

axb t A a/t b/t Ix Iy ix iy Wx.el Wy,el Wx.pl Wy,pl Jt Ct Ao,m Ao,g

mm mm kg/m cm2 - - cm4 cm4 cm cm cm3 cm3 cm3 cm3 cm4 cm3 m2/m m2/t

50x25 2.0 2.15 2.7 20.0 7.5 8.4 2.8 1.8 1.0 3.4 2.3 4.3 2.6 7.1 3.9 0.1 66.5

50x25 2.5 2.62 3.3 15.0 5.0 9.9 3.3 1.7 1.0 4.0 2.6 5.1 3.1 8.4 4.6 0.1 53.8

50x25 3.0 3.07 3.9 11.7 3.3 11.2 3.7 1.7 1.0 4.5 2.9 5.9 3.6 9.6 5.2 0.1 45.6

50x30 2.0 2.31 2.9 20.0 10.0 9.5 4.3 1.8 1.2 3.8 2.9 4.7 3.3 9.8 4.8 0.2 66.2

50x30 2.5 2.82 3.6 15.0 7.0 11.3 5.1 1.8 1.2 4.5 3.4 5.7 4.0 11.7 5.7 0.2 53.5

50x30 3.0 3.30 4.2 11.7 5.0 12.8 5.7 1.8 1.2 5.1 3.8 6.6 4.6 13.5 6.5 0.2 45.5

50x30 4.0 4.20 5.4 7.5 2.5 15.3 6.7 1.7 1.1 6.1 4.5 8.1 5.6 16.5 7.7 0.1 34.8

60x30 3.0 3.77 4.8 15.0 5.0 20.5 6.8 2.1 1.2 6.8 4.5 8.8 5.4 17.5 8.0 0.2 45.1

60x30 4.0 4.83 6.2 10.0 2.5 24.7 8.1 2.0 1.1 8.2 5.4 10.9 6.6 21.5 9.5 0.2 34.4

60x40 2.5 3.60 4.6 19.0 11.0 22.1 11.7 2.2 1.6 7.4 5.9 9.1 6.8 25.1 9.7 0.2 53.1

60x40 3.0 4.25 5.4 15.0 8.3 25.4 13.4 2.2 1.6 8.5 6.7 10.5 7.9 29.3 11.2 0.2 44.7

60x40 4.0 5.45 7.0 10.0 5.0 31.0 16.3 2.1 1.5 10.3 8.1 13.2 9.9 36.7 13.7 0.2 34.1

60x40 5.0 6.56 8.4 7.0 3.0 35.3 18.4 2.1 1.5 11.8 9.2 15.4 11.5 42.8 15.6 0.2 27.9

70x40 3.0 4.72 6.0 18.3 8.3 37.3 15.5 2.5 1.6 10.7 7.8 13.4 9.1 36.5 13.2 0.2 44.5

70x40 4.0 6.08 7.8 12.5 5.0 46.0 18.9 2.4 1.6 13.1 9.4 16.8 11.3 45.8 16.2 0.2 33.9

70x50 3.0 5.19 6.6 18.3 11.7 44.1 26.1 2.6 2.0 12.6 10.4 15.4 12.2 53.6 17.1 0.2 44.3

70x50 4.0 6.71 8.6 12.5 7.5 54.7 32.2 2.5 1.9 15.6 12.9 19.5 15.4 68.1 21.2 0.2 33.7

80x40 3.0 5.19 6.6 21.7 8.3 52.3 17.6 2.8 1.6 13.1 8.8 16.5 10.2 43.9 15.3 0.2 44.3

80x40 4.0 6.71 8.6 15.0 5.0 64.8 21.5 2.8 1.6 16.2 10.7 20.9 12.8 55.2 18.8 0.2 33.7

80x40 5.0 8.13 10.4 11.0 3.0 75.1 24.6 2.7 1.5 18.8 12.3 24.7 15.0 65.0 21.7 0.2 27.4

80x50 3.0 5.66 7.2 21.7 11.7 61.1 29.4 2.9 2.0 15.3 11.8 18.8 13.6 65.0 19.7 0.3 44.2

80x50 4.0 7.34 9.4 15.0 7.5 76.4 36.5 2.9 2.0 19.1 14.6 24.0 17.2 82.7 24.6 0.2 33.5

80x50 5.0 8.91 11.4 11.0 5.0 89.2 42.3 2.8 1.9 22.3 16.9 28.5 20.5 98.4 28.7 0.2 27.3

80x60 3.0 6.13 7.8 21.7 15.0 70.0 44.9 3.0 2.4 17.5 15.0 21.2 17.4 88.3 24.1 0.3 44.0

80x60 4.0 7.97 10.1 15.0 10.0 87.9 56.1 2.9 2.4 22.0 18.7 27.0 22.1 113.0 30.3 0.3 33.4

80x60 5.0 9.70 12.4 11.0 7.0 103.0 65.7 2.9 2.3 25.8 21.9 32.2 26.4 136.0 35.7 0.3 27.1

90x503.0 6.13 7.8 25.0 11.7 81.9 32.7 3.2 2.1 18.2 13.1 22.6 15.0 76.7 22.4 0.3 44.0

90x50 3.5 7.06 9.0 20.7 9.3 92.7 36.9 3.2 2.0 20.6 14.8 25.8 17.1 87.5 25.3 0.3 38.0

90x50 4.0 7.97 10.1 17.5 7.5 103.0 40.7 3.2 2.0 22.8 16.3 28.8 19.1 97.7 28.0 0.3 33.4

90x50 5.0 9.70 12.4 13.0 5.0 121.0 47.4 3.1 2.0 26.8 18.9 34.4 22.7 116.0 32.7 0.3 27.1

100x40 3.0 6.13 7.8 28.3 8.3 92.3 21.7 3.4 1.7 18.5 10.8 23.7 12.4 59.0 19.4 0.3 44.0

100x40 4.0 7.97 10.1 20.0 5.0 116.0 26.7 3.4 1.6 23.1 13.3 30.3 15.7 74.5 24.0 0.3 33.4

100x40 5.0 9.70 12.4 15.0 3.0 136.0 30.8 3.3 1.6 27.1 15.4 36.1 18.5 87.9 27.9 0.3 27.1

100x50 3.0 6.60 8.4 28.3 11.7 106.0 36.1 3.6 2.1 21.3 14.4 26.7 16.4 88.6 25.0 0.3 43.9

100x50 4.0 8.59 10.9 20.0 7.5 134.0 44.9 3.5 2.0 26.8 18.0 34.1 20.9 113.0 31.3 0.3 33.3

100x50 5.0 10.50 13.4 15.0 5.0 158.0 52.5 3.4 2.0 31.6 21.0 40.8 25.0 135.0 36.8 0.3 27.0

100x50 6.0 12.30 15.6 11.7 3.3 179.0 58.7 3.4 1.9 35.8 23.5 46.9 28.5 154.0 41.4 0.3 22.7

100x60 3.0 7.07 9.0 28.3 15.0 121.0 54.6 3.7 2.5 24.1 18.2 29.6 20.8 122.0 30.6 0.3 43.8

100x60 3.5 8.16 10.4 23.6 12.1 137.0 61.9 3.6 2.4 27.4 20.6 33.8 23.8 139.0 34.8 0.3 37.7

100x60 4.0 9.22 11.7 20.0 10.0 153.0 68.7 3.6 2.4 30.5 22.9 37.9 26.6 156.0 38.7 0.3 33.2

100x60 5.0 11.30 14.4 15.0 7.0 181.0 80.8 3.6 2.4 36.2 26.9 45.6 31.9 188.0 45.8 0.3 26.8

100x60 6.0 13.20 16.8 11.7 5.0 205.0 91.2 3.5 2.3 41.1 30.4 52.5 36.6 216.0 51.9 0.3 22.7

100x80 3.0 8.01 10.2 28.3 21.7 149.0 106.0 3.8 3.2 29.8 26.4 35.4 30.4 196.0 41.9 0.4 43.7

100x80 4.0 10.50 13.3 20.0 15.0 189.0 134.0 3.8 3.2 37.9 33.5 45.6 39.2 254.0 53.4 0.3 33.0

100x80 5.0 12.80 16.4 15.0 11.0 226.0 160.0 3.7 3.1 45.2 39.9 55.1 47.2 308.0 63.7 0.3 26.8

120x40 3.0 7.07 9.0 35.0 8.3 148.0 25.8 4.1 1.7 24.7 12.9 32.2 14.6 74.6 23.5 0.3 43.8

120x40 4.0 9.22 11.7 25.0 5.0 187.0 31.9 4.0 1.7 31.1 15.9 41.2 18.5 94.2 29.2 0.3 33.2

120x40 5.0 11.30 14.4 19.0 3.0 221.0 36.9 3.9 1.6 36.8 18.5 49.4 22.0 111.0 34.1 0.3 26.8

120x60 3.0 8.01 10.2 35.0 15.0 189.0 64.4 4.3 2.5 31.5 21.5 39.2 24.2 156.0 37.1 0.4 43.7

120x60 3.5 9.26 11.8 29.3 12.1 216.0 73.1 4.3 2.5 35.9 24.4 44.9 27.7 179.0 42.2 0.3 37.6

120x60 4.0 10.50 13.3 25.0 10.0 241.0 81.2 4.3 2.5 40.1 27.1 50.5 31.1 201.0 47.0 0.3 33.0

120x60 5.0 12.80 16.4 19.0 7.0 287.0 96.0 4.2 2.4 47.8 32.0 60.9 37.4 242.0 55.8 0.3 26.8

120x60 6.0 15.10 19.2 15.0 5.0 328.0 109.0 4.1 2.4 54.7 36.3 70.6 43.1 280.0 63.6 0.3 22.5

120x80 3.0 8.96 11.4 35.0 21.7 230.0 123.0 4.5 3.3 38.4 30.9 46.2 35.0 255.0 50.8 0.4 43.5

120x80 4.0 11.70 14.9 25.0 15.0 295.0 157.0 4.4 3.2 49.1 39.3 59.8 45.2 331.0 64.9 0.4 33.0

120x80 5.0 14.40 18.4 19.0 11.0 353.0 188.0 4.4 3.2 58.9 46.9 72.4 54.7 402.0 77.8 0.4 26.6

120x80 6.0 17.00 21.6 15.0 8.3 406.0 215.0 4.3 3.2 67.7 53.8 84.3 63.5 469.0 89.4 0.4 22.3

120x80 8.0 21.40 27.2 10.0 5.0 476.0 252.0 4.2 3.0 79.3 62.9 102.0 76.9 584.0 108.0 0.4 17.1

140x80 3.0 9.90 12.6 41.7 21.7 334.0 141.0 5.2 3.4 47.8 35.3 58.2 39.6 317.0 59.7 0.4 43.4

140x80 4.0 13.00 16.5 30.0 15.0 430.0 180.0 5.1 3.3 61.4 45.1 75.5 51.3 412.0 76.5 0.4 32.8

140x80 5.0 16.00 20.4 23.0 11.0 517.0 216.0 5.0 3.3 73.9 54.0 91.8 62.2 501.0 91.8 0.4 26.4

140x80 6.0 18.90 24.0 18.3 8.3 597.0 248.0 5.0 3.2 85.3 62.0 107.0 72.4 584.0 106.0 0.4 22.2

140x80 8.0 23.90 30.4 12.5 5.0 708.0 293.0 4.8 3.1 101.0 73.3 131.0 88.4 731.0 129.0 0.4 17.0

140x80 10.0 28.70 36.6 9.0 3.0 804.0 330.0 4.7 3.0 115.0 82.6 152.0 103.0 851.0 147.0 0.4 13.8

dimenzije poluprenik

inercijeinercije

momentparametri

lokalne vitkosti

povrinatorzione

konstante za farbanje

plastini otporni

moment

elastini otporni

moment

b

a

t

rmax=

3t

y

z z

y

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masa povrina

preseka

axb t A a/t b/t Ix Iy ix iy Wx.el Wy,el Wx.pl Wy,pl Jt Ct Ao,m Ao,g

mm mm kg/m cm2 - - cm4 cm4 cm cm cm3 cm3 cm3 cm3 cm4 cm3 m2/m m2/t

150x100 4.0 14.90 18.9 32.5 20.0 595.0 319.0 5.6 4.1 79.3 63.7 95.7 72.5 662.0 105.0 0.5 32.6

150x100 5.0 18.30 23.4 25.0 15.0 719.0 384.0 5.6 4.1 95.9 76.8 117.0 88.3 809.0 127.0 0.5 26.4

150x100 6.0 21.70 27.6 20.0 11.7 835.0 444.0 5.5 4.0 111.0 88.8 137.0 103.0 948.0 147.0 0.5 22.1

150x100 8.0 27.70 35.2 13.8 7.5 1010.0 536.0 5.4 3.9 134.0 107.0 169.0 128.0 1210.0 182.0 0.5 16.8

150x100 10.0 33.40 42.6 10.0 5.0 1160.0 614.0 5.2 3.8 155.0 123.0 199.0 150.0 1430.0 211.0 0.5 13.7

160x80 5.0 17.50 22.4 27.0 11.0 722.0 244.0 5.7 3.3 90.2 61.0 113.0 69.7 601.0 106.0 0.5 26.5

160x80 6.0 20.70 26.4 21.7 8.3 836.0 281.0 5.6 3.3 105.0 70.2 132.0 81.3 702.0 122.0 0.5 22.2

160x80 8.0 26.40 33.6 15.0 5.0 1000.0 335.0 5.5 3.2 125.0 83.7 163.0 100.0 882.0 150.0 0.4 16.9

180x80 4.0 15.50 19.7 40.0 15.0 802.0 227.0 6.4 3.4 89.1 56.7 112.0 63.5 578.0 99.6 0.5 32.6

180x80 5.0 19.10 24.4 31.0 11.0 971.0 272.0 6.3 3.3 108.0 68.1 137.0 77.2 704.0 120.0 0.5 26.3

180x80 6.0 22.60 28.8 25.0 8.3 1130.0 314.0 6.3 3.3 125.0 78.5 160.0 90.2 823.0 139.0 0.5 22.1

180x80 8.0 28.90 36.8 17.5 5.0 1360.0 377.0 6.1 3.2 151.0 94.1 198.0 111.0 1040.0 170.0 0.5 16.8

180x80 10.0 35.00 44.6 13.0 3.0 1570.0 429.0 5.9 3.1 174.0 107.0 234.0 131.0 1210.0 196.0 0.5 13.6

180x100 4.0 16.80 21.3 40.0 20.0 926.0 374.0 6.6 4.2 103.0 74.8 126.0 84.0 854.0 127.0 0.5 32.5

180x100 5.0 20.70 26.4 31.0 15.0 1120.0 452.0 6.5 4.1 125.0 90.4 154.0 103.0 1040.0 154.0 0.5 26.2

180x100 6.0 24.50 31.2 25.0 11.7 1310.0 524.0 6.5 4.1 146.0 105.0 181.0 120.0 1230.0 179.0 0.5 22.0

180x100 8.0 31.40 40.0 17.5 7.5 1600.0 637.0 6.3 4.0 178.0 127.0 226.0 150.0 1570.0 222.0 0.5 16.8

180x100 10.0 38.10 48.6 13.0 5.0 1860.0 736.0 6.2 3.9 207.0 147.0 268.0 177.0 1860.0 260.0 0.5 13.6

200x100 4.0 18.00 22.9 45.0 20.0 1200.0 411.0 7.2 4.2 120.0 82.2 148.0 91.7 985.0 142.0 0.6 32.6

200x100 5.0 22.30 28.4 35.0 15.0 1460.0 497.0 7.2 4.2 146.0 99.4 181.0 112.0 1210.0 172.0 0.6 26.1

200x100 6.0 26.40 33.6 28.3 11.7 1700.0 577.0 7.1 4.1 170.0 115.0 213.0 132.0 1420.0 200.0 0.6 21.9

200x100 8.0 33.90 43.2 20.0 7.5 2090.0 705.0 7.0 4.0 209.0 141.0 267.0 165.0 1810.0 250.0 0.6 16.7

200x100 10.0 41.30 52.6 15.0 5.0 2440.0 818.0 6.8 3.9 244.0 164.0 318.0 195.0 2150.0 292.0 0.6 13.5

200x120 4.0 19.30 24.5 45.0 25.0 1350.0 618.0 7.4 5.0 135.0 103.0 164.0 115.0 1350.0 172.0 0.6 32.4

200x120 5.0 23.80 30.4 35.0 19.0 1650.0 750.0 7.4 5.0 165.0 125.0 201.0 141.0 1650.0 210.0 0.6 26.2

200x120 6.0 28.30 36.0 28.3 15.0 1930.0 874.0 7.3 4.9 193.0 146.0 237.0 166.0 1950.0 245.0 0.6 21.9

200x120 8.0 36.50 46.4 20.0 10.0 2390.0 1080.0 7.2 4.8 239.0 180.0 298.0 209.0 2510.0 308.0 0.6 16.6

200x120 10.0 44.40 56.6 15.0 7.0 2810.0 1260.0 7.0 4.7 281.0 210.0 356.0 250.0 3010.0 364.0 0.6 13.4

200x150 4.0 21.20 26.9 45.0 32.5 1580.0 1020.0 7.7 6.2 158.0 136.0 187.0 154.0 1940.0 219.0 0.7 32.4

200x150 5.0 26.20 33.4 35.0 25.0 1930.0 1250.0 7.6 6.1 193.0 166.0 230.0 189.0 2390.0 267.0 0.7 26.1

200x150 6.0 31.10 39.6 28.3 20.0 2270.0 1460.0 7.6 6.1 227.0 194.0 271.0 223.0 2830.0 313.0 0.7 21.8

200x150 8.0 40.20 51.2 20.0 13.8 2830.0 1820.0 7.4 6.0 283.0 242.0 344.0 283.0 3660.0 396.0 0.7 16.6

200x150 10.0 49.10 62.6 15.0 10.0 3350.0 2140.0 7.3 5.9 335.0 286.0 413.0 339.0 4430.0 471.0 0.7 13.4

250x150 5.0 30.10 38.4 45.0 25.0 3300.0 1510.0 9.3 6.3 264.0 201.0 320.0 225.0 3280.0 337.0 0.8 26.0

250x150 6.0 35.80 45.6 36.7 20.0 3890.0 1770.0 9.2 6.2 311.0 236.0 378.0 266.0 3890.0 396.0 0.8 21.8

250x150 8.0 46.50 59.2 26.3 13.8 4890.0 2220.0 9.1 6.1 391.0 296.0 482.0 340.0 5050.0 504.0 0.8 16.5

250x150 10.0 57.00 72.6 20.0 10.0 5830.0 2630.0 9.0 6.0 466.0 351.0 582.0 409.0 6120.0 602.0 0.8 13.3

250x150 12.0 66.00 84.1 15.8 7.5 6460.0 2930.0 8.8 5.9 517.0 390.0 658.0 463.0 7090.0 684.0 0.7 11.2

250x150 12.5 68.30 87.0 15.0 7.0 6630.0 3000.0 8.7 5.9 531.0 400.0 678.0 477.0 7310.0 704.0 0.7 10.8

300x100 6.0 35.80 45.6 45.0 11.7 4780.0 842.0 10.2 4.3 318.0 168.0 411.0 188.0 2400.0 306.0 0.8 21.8

300x100 8.0 46.50 59.2 32.5 7.5 5980.0 1040.0 10.0 4.2 399.0 209.0 523.0 238.0 3080.0 385.0 0.8 16.5

300x100 10.0 57.00 72.6 25.0 5.0 7110.0 1220.0 9.9 4.1 474.0 245.0 631.0 285.0 3680.0 455.0 0.8 13.3

300x100 12.0 66.00 84.1 20.0 3.3 7810.0 1340.0 9.6 4.0 521.0 269.0 710.0 321.0 4180.0 508.0 0.7 11.2

300x100 12.5 68.30 87.0 19.0 3.0 8010.0 1370.0 9.6 4.0 534.0 275.0 732.0 330.0 4290.0 521.0 0.7 10.8

300x200 6.0 45.20 57.6 45.0 28.3 7370.0 3960.0 1 1.3 8.3 491.0 396.0 588.0 446.0 8120.0 651.0 1.0 21.7

300x200 8.0 59.10 75.2 32.5 20.0 9390.0 5040.0 11.2 8.2 626.0 504.0 757.0 574.0 10600.0 838.0 1.0 16.3

300x200 10.0 72.70 92.6 25.0 15.0 11300.0 6060.0 11.1 8.1 754.0 606.0 921.0 698.0 13000.0 1010.0 1.0 13.2

300x200 12.0 84.80 108.0 20.0 11.7 12800.0 6850.0 10.9 8.0 853.0 685.0 1060.0 801.0 15200.0 1170.0 0.9 11.1

300x200 12.5 88.00 112.0 19.0 11.0 13200.0 7060.0 10.8 7.9 879.0 706.0 1090.0 828.0 15800.0 1200.0 0.9 10.6

400x200 8.0 71.60 91.2 45.0 20.0 19000.0 6520.0 14.4 8.5 949.0 652.0 1170.0 728.0 15800.0 1130.0 1.2 16.3

400x200 10.0 88.40 113.0 35.0 15.0 23000.0 7860.0 14.3 8.4 1150.0 786.0 1430.0 888.0 19400.0 1 370.0 1.2 13.1

400x200 12.0 104.00 132.0 28.3 11.7 26200.0 8980.0 14.1 8.2 1310.0 898.0 1660.0 1030.0 22800.0 1590.0 1.1 11.0

400x200 12.5 108.00 137.0 27.0 11.0 27100.0 9260.0 14.1 8.2 1360.0 926.0 1710.0 1060.0 23600.0 1640.0 1.1 10.6

dimenzije parametri moment poluprenik elastini otporni plastini otporni torzione pov rina

lokalne vitkosti inercije inercije moment moment konstante za farbanje