Proračun varova
Metalne konstrukcije 1
P13-1
Proračun sučeonih varova Osnovn Osn ovnee pre pretpo tpostav stavke: ke: • zanemaruju se kon koncentracij ijee napona; • zanemaruju se vlastiti (zaostali) naponi; • ut je jeca caji ji u ša šavo vovi vima ma se od odre ređuju kao u osn osno ovnom materijalu; • dimenzije sučeonih šavova su jednake dime di menz nzij ijam amaa os osno novn vnog og ma mate teri rija jala la (a = t min);
Metalne konstrukcije 1
P13-2
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Prim jena polaznih i završnih pločica
l′w =
b − 2a
efekti efe ktivna vna duž dužina ina
Metalne konstrukcije 1
P13-3
Određivanje napona u sučeonim šavovima
- normalni napon
- smičući napon
x
xz
=
=
N A
±
My Wy
V ⋅ Sy Iy ⋅ a
±
Mz Wz
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Dopušten napon za su čeone šavove ( b,w,dop) b ,w ,d o p
=
k⋅
dop
k
koefic koe ficije ijent nt kva kvalit liteta eta;;
σdop
dopu do pušt šten en na nap pon za os osno novn vnii ma mate teri rija jal; l;
Metalne konstrukcije 1
Koeficijent kvaliteta k Zavi Za visi si od od:: • kvaliteta šava; • vrste naprezanja; • vrste čelika;
P13-5
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Vrijednosti koeficijenta k Kvalitet šava
S - kvalitet
I - kvalitet
II - kvalitet
Vrsta naprezanja Zatezanje ili savijanje Pritisak Smicanje Zatezanje ili savijanje Pritisak Smicanje Zatezanje ili savijanje Pritisak Smicanje
Koeficijent k S235, S275 1,00 1,00 0,60 0,80 1,00 0,60 0,72 1,00 0,55
S355 1,00 1,00 0,60 0,80 1,00 0,60 0,65 0,80 0,50
Metalne konstrukcije 1
Dokaz nosivosti sučeonih šavova Kont Ko ntro rola la no norm rmal alni nih h na napo pona na:: x ,max
≤
b ,w, dop
Kont Ko ntro rola la sm smiičućih na napo pona na:: xz ,max
≤
b ,w, dop
Kont Ko ntro rola la up upor ored edni nih h na napo pona na::
P13-7
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Izbor položaja nastavka nosa ča M S = W y ⋅ k S ⋅ σ dop
=
= 1,0 ⋅ W y ⋅ σ dop
M I = W y ⋅ k I ⋅ σ dop
=
= 0,8 ⋅ W y ⋅ σ dop
M II = W y ⋅ k II ⋅ σ dop = 0,65 ⋅ W y ⋅ σ dop
Osno Os novn vnii ma mate teri rija jall S3 S355 55!! Metalne konstrukcije 1
Proračun kutnih šavova
P13-9
=
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Dimenzijekutnih šavova - debljina
Izb j jeg egava avati ti oš oštre tre kutove!
Metalne konstrukcije 1
Efektivna dužina ugaonih šavova U opcem slučaju:
l′w = l w − 2a
P13-11
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Minimalne dimenzije kutnih šavova
Minimalna Debljina kutnih šavova a Dužina k utnih šavova l w
3 mm 6 a ili 40 mm
Maksimalna 0,7t min mi n 100 10 0a
-po DIN_u
Metalne konstrukcije 1
P13-13
Komponente napona u kutnim šavovima Ravan spoja
Mjerodavna ravan
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Kontrola nosivosti kutnih šavova u =
σ
n
2
2 2 + V II + V ⊥ ≤ σ w, dop
• Uporedni napon u je vektorski zb zbroj roj svih komp ko mpon onen enta talni lnih h na napo pona na u ša šavu vu!! • Dopušteni naponi za kutne šavove Slu čaj opterećenja
w, dop dop
Vrsta osnovnog materijala S235 S275 S355
I
120
145
170
II
135
160
190
Metalne konstrukcije 1
Prim jena kutnih šavova Aksi Ak sija jaln lno o op opte tere rećen enii el elem emen enti ti:: • spojevi na preklop i
P13-15
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Proračun kutnih šavova kod aksijalno opterećenih spojeva na preklop Podu Po dužžni (b (bo očni ni)) ugao ugaoni ni ša šavo vovi vi
VII
u
= l′w
N ⋅2⋅a
= VII ≤
Metalne konstrukcije 1
w ,dop do p
P13-17
Proračun ugaonih šavova kod aksijalno opterećenih spojeva na preklop Poprečni (čeo eoni ni)) ugaoni ugaoni ša šavo vovi vi
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Proračun ugaonih šavova kod aksijalno opterećenih spojeva na preklop Kosi Ko si ug ugao aoni ni ša šav vov ovii VII
n
=
N ⋅ cos l′w ⋅ 2 ⋅ a
=
N ⋅ sin l′w ⋅ 2 ⋅ a
u
=
VII2 + n 2
Metalne konstrukcije 1
≤
P13-19
Proračun ugaonih šavova kod aksijalno opterećenih spojeva na preklop Poprečni i po podužni ugaoni šavovi I slučaj:
w ,dop do p
l w ,2 > 1,5l w ,1
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Proračun ugaonih šavova kod aksijalno opterećenih spojeva na preklop Poprečni i po podužni ugaoni šavovi II slučaj: 0,5l w ,1
Fw ,max
=
Fw ,2
< l w ,2 ≤ 1,5l w ,1
+ Fw ,1 / 3
Fw ,1 = a ⋅ l′w ,1 ⋅ Fw ,2
=
w ,do p
2a ⋅ l′w ,2 ⋅
w ,do p
Kontrol Kon trolaa nos nosivo ivosti sti::
N
≤
Fw ,max
Metalne konstrukcije 1
P13-21
Proračun ugaonih šavova kod aksijalno opterećenih spojeva na preklop Poprečni i po podužni ugaoni šavovi III slučaj:
l w ,2 <
0,5l w ,1
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Proračun ugaonih šavova kod aksijalno opterećenih elemenata u ugaonim spojevima
n
u
l′w
N ⋅2⋅a
n
≤
=
=
Metalne konstrukcije 1
Proračun ugaonih šavova kod veza
w ,do p
P13-23
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Proračun ugaonih šavova kod veza opterećenih na savijanje M n= Ww
V⊥
u
=
=
F ⋅l 1 ⋅ h a ⋅ l′w
F 2 ⋅ a ⋅ l′w
=
n2
2
+ V⊥ ≤
Metalne konstrukcije 1
Proračun ugaonih šavova kod veza
w ,do p
P13-25
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Geometrijske karakteristike Mome Mo ment nt in inerc ercij ijee ša šavov vovaa za y-y osu: 3 a ⋅ l I y ,w = a1 ⋅ l w ,3 ⋅ ( h − t f )2 + 2 w ,2 6 Otpo Ot porn rnii mo mome ment nt šavo šavova va za y-y osu: Wy ,w
=
I y ,w /(h / 2 + a1 )
Statički mo mome ment nt ša šavo vova va u tački 3: Sy ,w ,3
=
2a1 ⋅ l w ,1 ⋅ (h − t f ) / 2
Statički mo mome ment nt ša šavo vova va u tački 2:
Sy ,w ,2
2
= Sy ,w ,3 + a2 ⋅ l w ,2
/4
Metalne konstrukcije 1
Proračun ugaonih šavova kod veza
P13-27
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Proračun ugaonih šavova kod veza opterećenih na savijanje
VII
n
bw ,eff hp
=
=
hš
I y ⋅ 2a ⋅P
=
2a ⋅ bw ,eff
u
50 + 2h p
=
Vmax ⋅ Sy ,1
=
n2
2
+ VII ≤
w ,do p
+ t f Metalne konstrukcije 1
Konstruisanje zavarenih spojeva
P13-29
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Treba izbegavati • Debele limove i deb debele šavove; • Nagomilavanje šavova na jednom mestu; • Oštre prelaze i nagle diskontinitete kod dinami čki opterećen enih ih ko konst nstru rukc kcij ija; a; • Montažne nastavke u zav zavarenoj izradi; • Teške položaje zavarivanja; • Komplikovane detalje;
Metalne konstrukcije 1
Konstruisanje ukrućenja
P13-31
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Zasecanja rebra na mestu ukrštanja
Debljina lima t (mm)
l
i
r
<10
40
20
20
10-25 >25
50 60
25 30
20 20
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Oblikovanje dodatne veze dodatne lamele
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Konstruisanje nastavka nosača
Izbe Iz bega gava vati ti na nast stav avlj ljan anje je sv svih ih el elem emen enat ataa u ist istom om
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Konstruisanje s obzirom na lamelarno cepanje
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Dijagrami deformabilnosti (krutosti) različitih spojnih sredstava
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Primer ortotropne ploče