Rothoblaas - Vijci i spojnice za drvo Page 44
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PRIMJERI PRORAČUNA: SPOJ KROVNA GREDA - UVALA SPAJANJE DRVO – DRVO/JEDAN SMIK 1 ELEMENT 1 ELEMENT 2 B1 = 120 mm 2 B2 = 160 mm H1 = 160 mm 1 H2 = 240 mm 2 Nagib 30% (16,7°) Nagib 21% (12,0°) Drvo GL24h Drvo GL24h PODACI PROJEKTA ODABIR VIJKA GEOMETRIJA SPOJA Fv,Rd = 7,17 kN HBS = 10x180 mm t 1 = 60 mm Uporabna klasa = 1 Predbušenje = ne α 1 = 73,3° (90° - 16,7°) Trajanje opterećenja = kratko Podložak = ne t2 = 120 mm (duljina utiskivanja u element 2) α 2 = 78,0° (90° - 12,0°) PRORAČUN OTPORNOSTI NA SMIK (EN 1995:2014 e ETA-11/0030) d1 fh,1,k fh,2,k β My,k Rax,Rk = 10,0 mm = 15,82 N/mm2 = 15,82 N/mm2 = 1,00 = 35,8 Nm = min {otpornost na izvlačenje navoja; otpornost na penetraciju glave} = min {Rax,Rk ; Rhead,Rk} = 3,77 kN = 0,94 kN (učinak užeta) Rax,Rk/4 fh,1,k t1 d (a) = 9,49 kN fh,2,k t2 d fh,1,k t1 d 1+β Rv,Rk = min 1,05 β + 2β2 1 + fh,1,k t1 d 2+β f t d 1,05 h,1,k 2 1 + 2β 1,15 2β (1 + β) t2 t1 + 2β (1 + β) + 2β2 (1 + β) + t2 2 + β3 t1 t2 ta 2 4β (2 + β) My,RK fh,1,k d t12 4β (1 + 2β ) My,RK 2My,RK fh,1,k d + fh,1,k d t22 t -β 1+ 2 t1 -β + + Rax,Rk 4 Rax,Rk -β + (b) = 18,99 kN (c) = 7,39 kN 4 Rax,Rk 4 Rax,Rk (d) = 4,87 kN (e) = 7,90 kN (f) = 4,81 kN 4 Rv,Rk = 4,81 kN Rd = Rk kmod γM EN 1995:2014 kmod = 0,9 γM = 1,3 Rv,Rd = 3,33 kN Italia - NTC 2018 kmod = 0,9 γM = 1,5 Rv,Rd = 2,89 kN Minimalni broj vijaka Fv,Rd/Rv,Rd = 2,15 Minimalni broj vijaka Fv,Rd/Rv,Rd = 2,48 Pretpostavlja se uporaba 3 vijka nef,SMIK nef,VLAK 3 (vijci postavljeni okomito na vlakna) max ( 30,9;0,9∙3)=2,70 Ponovnim proračunom otpornosti na smicanje, pod učinkom užeta smatra se otpornost na vlak pojedinog vijka u iznosu od: Rax,Rk = 3,77 ∙ 2,70/3 = 3,39 kN (penetracija glave) Rax,Rk /4 = 0,85 kN (učinak užeta) Otpornost pojedinačnog vijka na smicanje: Rv,Rk = 4,72 kN Rv,Rd ≥ Fv,Rd EN 1995:2014 Rv,Rd = 3,27 kN Italia - NTC 2018 Rv,Rd = 2,83 kN Otpornost spoja na smicanje: Rv,Rd = 3,27 x 3 = 9,80 kN > 7,17 kN OK Otpornost spoja na smicanje: Rv,Rd = 2,83 x 3 = 8,49 kN > 7,17 kN OK 44 | HBS | DRVODJELSTVO
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