EFFECTS OF SELF-TAPPING SCREWS AS REINFORCEMENTS IN BEAM SUPPORTS ON THE DETERMINATION OF THE GLOBAL MODULUS OF ELASTICITY IN BENDING
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1 EFFECTS OF SELF-TAPPING SCREWS AS REINFORCEMENTS IN BEAM SUPPORTS ON THE DETERMINATION OF THE GLOBAL MODULUS OF ELASTICITY IN BENDING - Investigations on Clearwood - University of Innsbruck Faculty of Civil Engineering-Institute of Construction and Material Technology Department of Timber Engineering Roland Maderebner Thomas Hager Michael Flach
2 CONTENT Aim of the Work and State of the Art Materials Methods Results Conclusion WCTE 2014 Québec, Canada 2
3 AIM OF THE WORK WCTE 2014 Québec, Canada 3
4 AIM OF THE WORK STATE OF THE ART EUROCODE 5: DESIGN OF TIMBER STRUCTURES ULTIMATE LIMIT STATE E d F d - Design of cross-sections subjected to stress - Stability of members SERVICEABILITY LIMIT STATE - Limiting values for deflections of beams - Vibrations of residential floors E d C d WCTE 2014 Québec, Canada 4
5 SERVICEABILITY LIMIT STATE - Limiting values for deflections of beams w w w tot inst,0 creep w inst,0 4 5 qd 384 EI WCTE 2014 Québec, Canada 5
6 SERVICEABILITY LIMIT STATE Limiting values for vibrations of residential floors x t = A e δt cos (ω d t) M a 1 a 2 A e δt c c 48 EI 3 T A e δt Figure: Generalised mass Figure: Damped and undamped oscillation 4 E I 1 E I f 2 2 m b E I k k b 1 l,1 l,2 WCTE 2014 Québec, Canada 6
7 BENDING STIFFNESS EI Modulus of Elasticity in Bending, according to EN Global MOE E m,g a l 4 a 3 w w 6 a b h 2 F F 5 G b h Local MOE E m, a l (F F ) I (w w ) 2 1 WCTE 2014 Québec, Canada 7
8 COMPONENTS OF DEFORMATIONS wlocal M V w total M dx V dx A w i EI G A i i w bending w she ar w support wglo bl a WCTE 2014 Québec, Canada 8
9 MATERIAL PROPERTIES Determination of characteristic values of mechanical properties and density according to EN 384:2010 E E ( u 12%) E / n 0, mean m, g, i 1, i Determination of characteristic values of mechanical properties and density according to pren 384:2013 E E ( u 12%) 1, mg, E E 0 m, WCTE 2014 Québec, Canada 9
10 COMPONENTS OF DEFORMATIONS - RHEOLOGICAL MODEL EI steel plate E c,90 Parameter Spring-stiffness Deformation 0,40 F max E 90,mean = 370 N/mm² C support = 6220 N/mm w support = 0,13 mm F max = 8000 N C beam = 550 N/mm w beam = 5,82 mm A = 550 mm² h = 65 mm (2 %) WCTE 2014 Québec, Canada 10
11 INCREASING THE LOAD-CARRYING CAPACITY OF BEAM SUPPORTS PERPENDICULAR TO THE GRAIN WITH SELF-TAPPING SCREWS WITH CONTINUOUS THREADS R 90, d min n R k b f b f ef, 2 c, 90, d d c, 90 ef, 1 c, 90, d min ; d ax, d c, d R R R Figure: Beijtka, Blass WCTE 2014 Québec, Canada 11
12 MATERIALS SPECIMENS WCTE 2014 Québec, Canada 12
13 PODUCTION OF THE SPECIMENS - Twin-samples Reinforced support Unreinforced support tree - trunk WCTE 2014 Québec, Canada 13
14 METHODS WCTE 2014 Québec, Canada 14
15 TEST-SETUP Reinforcement with self-tapping screws - Influence on Em,g Reinforced support Unreinforced support WCTE 2014 Québec, Canada 15
16 TEST-SETUP Reinforcement with self-tapping screws - Influence on Em,g WCTE 2014 Québec, Canada 16
17 CALIBRATION C machine const. C setup const. WCTE 2014 Québec, Canada 17
18 CALIBRATION C machine const. C setup const. WCTE 2014 Québec, Canada 18
19 RESULTS WCTE 2014 Québec, Canada 19
20 RESULTS - Gross Density - Bending Strength Material parameters support Max Min Mean Median Sd Gross Density mc = 12 % [kg/m³] Bending strength [N/mm²] unreinforced (ur) reinforced (r) Total unreinforced 91,28 53,74 71,10 69,20 9,96 reinforced 88,74 49,03 72,55 73,74 9,77 Total 91,28 49,03 71,82 72,31 9,83 WCTE 2014 Québec, Canada 20 f(ur) - f(r) f(ur) 0,01-0,02
21 RESULTS Reinforcement with self-tapping screws - Influence on Em,g - Global MOE - Local MOE - MOE acc. to EN 384 Material parameters support Max Min Mean Median Sd Global MOE without shear modulus mc= 12 % [N/mm²] Global MOE with shear modulus mc = 12 % [N/mm²] MOE according to EN 384 [N/mm²] Local MOE, w = 12 % [N/mm²] unreinforced reinforced Total unreinforced reinforced Total unreinforced reinforced Total unreinforced reinforced Total WCTE 2014 Québec, Canada 21 f(ur) - f(r) f(ur) 0,02 0,02 0,02 0,02
22 RESULTS Reinforcement with self-tapping screws - Influence on Em,g - Global MOE - Local MOE - MOE acc. to EN 384 Material parameters support Max Min Mean Median Sd Global MOE without shear modulus mc= 12 % [N/mm²] Global MOE with shear modulus mc = 12 % [N/mm²] MOE according to EN 384 [N/mm²] Local MOE, w = 12 % [N/mm²] unreinforced reinforced Total unreinforced reinforced Total unreinforced reinforced Total unreinforced reinforced Total WCTE 2014 Québec, Canada 22 f(ur) - f(r) f(ur) 0,02 0,02 0,02 0,02
23 RESULTS Reinforcement with self-tapping screws - Influence on Em,g WCTE 2014 Québec, Canada 23
24 RESULTS Reinforcement with self-tapping screws - Influence on Em,g - Global MOE - Local MOE - MOE acc. to EN 384 EI ur > EI wlocal ri M V w total M dx V dx A w i EI G A i w bending E w she ar wglo bl a?? w support E,,,,,,,, 1 m l r Em l ur m g r Em g r E m,, l r i WCTE 2014 Québec, Canada 24
25 Modulus of Elasticity in Bending [N/mm²] Reinforcement with self-tapping screws - Influence on Em,g RESULTS CALIBRATION 4,4% WCTE 2014 Québec, Canada 25
26 Modulus of Elasticity in Bending [N/mm²] Reinforcement with self-tapping screws - Influence on Em,g RESULTS CALIBRATION 21,7% 4,4% WCTE 2014 Québec, Canada 26
27 Modulus of Elasticity in Bending [N/mm²] Reinforcement with self-tapping screws - Influence on Em,g RESULTS CALIBRATION 21,7% 4,4% 12,2% E E,,,,,,,, 1 m l r Em l ur m g r Em g r E m,, l r WCTE 2014 Québec, Canada 27
28 Modulus of Elasticity in Bending [N/mm²] Reinforcement with self-tapping screws - Influence on Em,g RESULTS CALIBRATION 7,5% WCTE 2014 Québec, Canada 28
29 CONCLUSION WCTE 2014 Québec, Canada 29
30 CONCLUSION - Influence of reinforcement perpendicular to the grain on the results of E m,g - Components of deformations w total - Size effects? M M V i EI dx V G A dx A w i wbending wshear w support wglobal i WCTE 2014 Québec, Canada 30
31 OUTLOOK - Measuring the shear deformations according to EN Measuring the local support deformations - Principle of virtual displacements for a 2D beam w total M M V i EI dx V G A dx A w i w w wshear support bending wglobal V V dx 1 G A M W M A w global dx i i E I m,l i WCTE 2014 Québec, Canada 31 i
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