Rothoblaas - Wood screws and connectors Page 160
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CALCULATION EXAMPLES: REINFORCEMENT OF NOTCHED BEAM WITH TRACTION PERPENDICULAR B-B PROJECT DATA B = 200 mm GL24h Glulam (ρk = 385 kg/m3) H = 400 mm Fv,Rd = 29,5 kN Hef = 200 mm Service class = 1 Hi = H - Hef = 200 Load duration = medium ia = 0 (notch slope) L a = 150 mm A-A a2,c a2 B a2,c B-B Hef A-A X Sg sup H Sg inf H-Hef Fv,Rd La a1,c SHEAR STRESS VERIFICATION - BEAM WITHOUT REINFORCEMENT - Section A-A (EN 1995:2014) : d ≤ kv ∙ fv,d τd = 1,5 Fv,Rd B Hef x= La 2 α= Hef H 1 kV = min kn h 1,1 iα1,5 1+ H α (1-α) + 0,8 x H τd = 1,65 N/mm2 x = 75 mm α = 0,5 kn = 6,50 (GL24h) kv = 0,47 fv,k = 3,50 N/mm2 1 -α2 α EN 1995:2014 Italy - NTC 2018 kmod = 0,9 kmod = 0,9 γM = 1,25 γM = 1,45 fv,d = 2,52 N/mm2 kv ∙ fv,d = 1,18 N/mm2 fv,d = 2,17 N/mm2 kv ∙ fv,d = 1,02 N/mm2 1,65 > 1,18 N/mm2 τd ≤ kv ∙ fv,d τd ≤ kv ∙ fv,d 1,65 > 1,02 N/mm2 verification not passed verification not passed REQUIRES REINFORCEMENT REQUIRES REINFORCEMENT SHEAR STRESS VERIFICATION - Section B-B (EN 1995:2014) : τd ≤ fv,d τd = 1,5 Fv,Rd B Hef τd EN 1995:2014 τd ≤ fv,d = 1,65 N/mm2 Italy - NTC 2018 1,65 < 2,52 N/mm2 τd ≤ fv,d verification passed 1,65 < 2,17 N/mm2 verification passed REINFORCEMENT Section A-A - CALCULATION OF TRACTION STRESS PERPENDICULAR TO THE FIBRES (DIN 1052:2008) Ft,90,d = 1,3 Fv,Rd [ 3 (1-α)2 - 2 (1-α)3] Ft,90,d = 19,18 kN REINFORCEMENT CONNECTOR SELECTION VGZ 9 x 360 mm To optimise the resistance, the connector is placed with the centre of gravity in correspondence S g sup = 165 mm with the possible crack line. S g inf = 165 mm 160 | VGZ | STRUCTURES
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