SlideShare a Scribd company logo

Component Based Finite Element Method for Structural Connection Analysis

•
•
Jo Gijbels
Jo Gijbels

Op Componenten geBaseerde Eindige Elementen Model voor staalverbindingen Veertig jaar geleden werd numerieke analyse van staalverbindingen door sommige onderzoekers als een niet-wetenschappelijk geval gezien. Twintig jaar later is het reeds een breed gebruikte toevoeging en uitbreiding van het experimentele en theoretische werk. Vandaag is numerieke analyse, en met name numerieke mechanica en vloeistofdynamica, algemeen gebruikt, als een onvervangbaar ontwerphulpmiddel en katalysator voor meerdere onderzoeksgebieden. De aanbevelingen voor de berekening m.b.v. deze geavanceerde, numerieke modellering is hoewel verborgen, maar gereed om te gebruiken volgens hoofdstuk 5 en bijlage C van EN 1993-1-5:2005. Om de mogelijkheden van de praktische toepassing en de kennis van het gedrag van staalverbindingen te verenigen in de geavanceerde berekening door eindige elementen methode (EEM), is de Componenten geBaseerde Eindige Elementen Model (CBEEM) ontwikkeld. Het model gebruikt de EEM voor de totale berekening van de snedekrachten in de verbinding. Het materiaalmodel gebruikt het elasto-plastische gedrag met de grenswaarde van 5% plastificatie. Het EE-net moet automatisch gemaakt worden en worden geverifieerd, zodat een goede weergave van het gedrag volgens een plastische berekening verkregen wordt. Met name de verbindingsmiddelen, zoals lassen, bouten of gedrukte, slanke platen worden beschouwd, als een component met een stijfheid, sterkte- en vervormingweerstand. Deze procedure stelt men in staat om de ontwikkeling van de snedekrachten te beschouwen tijdens het belasten van eenvoudige of complexe verbindingen, de juiste beschouwing van de weerstand van de verbinding belast door eenvoudige of complexe belastingsituaties te doen, en de inschatting van de vervormingscapaciteit van de verbindingen en de aansluiting zelf te maken. De enige manier om de juistheid van de gesimuleerde resultaten in het geval van complexe modellen aan te tonen is via een methodische validatie- en verificatieproces. Om de juistheid van de toepassing van CBEEM voor de berekening van verbindingen te controleren is een hiërarchische verificatie voorbereid t.o.v. de componentenmethode voor verbindingen van open profielen volgens hoofdstuk 6 van EN 1993-1-8:2006 en verbindingen van kokerprofielen in ISO 14346:2014. De validatie tegen gepubliceerde en eigen experimentele resultaten is gebruikt voor complexe situaties. Deze benchmark resultaten zijn beschikbaar voor de gebruiker om het juiste gebruik van het hulpmiddel toe te staan. Het seminar zal de huidige stand van zaken m.b.t. verbindingsontwerp opsommen. Tevens zal de methode van het CBEEM-hulpmiddel worden getoond aan de hand van software.

Engineering
1 of 150
Background of Component Based Finite Element Method František Wald, Marta Kurejková, Lukáš Gödrich, Martin Kočka Czech Technical University in Prague
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Motivation • Summarise current design of structural connections • Focus to FEM features • Explain importance of Validation & Verification 2 Research model Design model
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary List of contents • Connection design – Models – FE analyse • Validation & verification • Components modelling – Slender plates – Bolts • Connection behaviour – Open sections – Hollow sections • Summary 3
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Description of behaviour for design by moment-rotation characteristic Connection exposed to bending • Rotational stiffness • Moment resistance • Rotation capacity 4 Design curve Joint resistance M j,Rd Deformation capacity j,Cd Initial stiffness Sj,ini Elastic 2/3 M j,Rd limit  Experimental curve Rotation, , mrad M, moment, kNm
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Deformation/rotation capacity • For safety – Seismic design – Plastic global analyses • Ductile components – Plate in bending – Column web in shear • Brittle components – Bots, welds 5 0,0 M  j.Rd M  el  u Cd Cd
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Rotation capacity Upper material properties o Question of the Actual yield strength 6  F Cd,2 Cd,1  F  Cd,2  Cd,1 Brittle Ductile Brittle Ductile
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Joint design European standards • EN1993-1-8, Eurocode 3, Design of steel structures, Part 1-8, Design of joints, CEN, Brussels, 2006. • EN1994-1-1, Eurocode 4, Design of composite steel and concrete structures, Part 1-1, General rules and rules for buildings, CEN, 2010.
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Design approaches for structural joints Models • Experimental • Curve fitting • Analytical – Component Method CM • Finite element analysis – Research – Design finite element analysis • Component based finite element method CBFEM 8
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Curve fitting model • Based on – Physical experiments – Component method – databases – Surrogate models – numerical experiments – Optimization 9 M  Experiment Function h t l b a t M 5 5 3 3 1 1 )kM(C)kM(C)kM(C 
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Surrogate models (Meta models) • Numerical experiments • Standardised mathematical procedure 10SUMO Delf University
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Hollow section joints • Design by mixture of – Curve fitting – Analytical models • Failure modes – CHS, RHS – Open and hollow 11 Mode A: Plastic failure of the chord face
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Hollow section joints • Failure modes 12 Mode C: Tension failure of the web member Mode D: Local buckling of the web member Mode B: Punching shear failure of the chord face Mode E: Overall shear failure of the chord
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Hollow section joints • Failure modes 13 Mode F: Local buckling of the chord walls Mode G: Local buckling of the chord face
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary CIDECT materials • Background CIDECT materials – ISO/FDIS 14346 – EN 1993-1-8 Chapter 7 • Uni-planar and multi-planar joints – Circular, square or rectangular hollow sections + • Uni-planar joints – Combinations of hollow sections with open sections • Detailed application rules to determine the static resistances of joints in lattice structures ISO/FDIS 14346: Static Design Procedure for Welded Hollow Section Joints – Recommendations, ISO, IIW XV-1439-13, 2012. 14
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Geometrical types of basic joints 15 K joint KT joint N joint T joint X joint Y joint o Class 1 and 2 cross sections o Limits in geometry
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Geometrical types of complex joints 16 DK joint KK joint X joint TT joint DY joint XX joint
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Failure modes – chord, shear 17 Rectangular Circular Chords of I or H ------- Chordshear failure Punchingshear
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Failure modes – brace 18 Rectangular Circular Chords of I or H BracefailureLocalbuckling
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Component based aproach for holow section design • CIDEC project • 7 failure modes = 7 components • Defidend lever arm • The same equations x enginering frendly aproach • kfa factors transfered to beff effective widts 19
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Component model Procedure Web panel in shear Connection Components in tension Column web in tension Column web in compression Components in compression Joint  Decomposition of joint  Component description  Joint assembly  Classification  Representation  Modelling in analyses
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Component model Prediction accuracy • Good accuracy • M-N Interaction – Tests in Prague 21 10 20 Moment, 100 200 -200 -100 Normal force, kN SN 1500 SN 1000 0 0 Interaction Componentmethod kNm Test -10 0 5 10 15 20 25 30 0 0,01 0,02 0,03 0,04 Moment, kNm Rotation, rad TestSN 1500 Prediction by componentmethod Prediction ofresistance by interaction
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Component Model Application  Design tables  Green book  Blue book  Computer programs  Simplified hand calculation 22
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Component Model Design tools • Inputs • Outputs • Reports 23 www.fine.cz
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Component Model Design tools • For limited cases 24 www.fine.cz
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Component Model Design tools • For limited cases 25 www.fine.cz 2 000 1 500 1 000 500 0 - 500 - 1 000 50 100 150 200 Moment, kNm Normálová síla, kNNormal force, kN Bending moment, kNm
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Component model Background references • Zoetemeijer P.: Summary of the research on bolted beam-to- column connections, TU-Delft report 26-6-90-2, 1990. • Zoetemeijer P.: Summary of the Research on Bolted Beam-to- Column Connections (period 1978 - 1983), Ref. No. 6-85-M, Steven Laboratory, Delft, 1983. • Zoetemeijer P.: Proposal for Standardisation of Extended End Plate Connection based on Test results - Test and Analysis, Ref. No. 6-83-23, Steven Laboratory, Delft, 1983. • Jaspart J.P., Design of structural joints in building frames, Prog. Struct. Engng Mater., 4, 2002, 18–34. • Wald F., Sokol Z., Steenhouis M. and Jaspart, J.P., Component Method for Steel Column Bases, Heron 53, 2008, 3-20. • Da Silva Simoes L., Towards a consistent design approach for steel joints under generalized loading, JCSR, 64, 2008, 059-1075. • Beg D., Zupančič E., Vayas I., On the rotation capacity of moment connections, JCSR, 60, 3–5, 2004, 601–620.
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Finite Element models of joint • Research oriented • Design oriented 27 Research model Design model
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Bolt FEM research models • 3D • Complex • Material – Plasticity criteria – Demage model 28 Wu, Z., Zhang, S. and Jiang, S.: Simulation of tensile bolts in finite element modeling of semi-rigid beam-to-column connections, International Journal of Steel Structures, 2012,12/3, 339-350.
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Bolts FEM design models Razavia H., Abolmaalia A., Ghassemiehd M., Invisible elastic bolt model concept for finite element analysis of bolted connections, JCSR, 63, 2007, 47–657. 29 o Contact model - Matricks description
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary FEM modelling of bolts Bolts o Fan model 30
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Bearing FEM modelling • von-Mises yield criterion • Demage models 31 Može P., Beg D., A complete study of bearing stress in single bolt connections, Journal of Constructional Steel Research, 95, 2014, 126–140.
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Connections FE research models 32 • N. Krishnamurthy (1978) – 3 models – 2D model
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Connections FE research models 33 • Bahaari and Sherbourne (1996) – 6 tests, 3D finite element model using ANSYS – One of first component based finite element models
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Connections FE research models 34 • Bursi and Jaspart (1998) – T-stub and Extended end-plate moment – LAGAMINE, a finite element research software – Bursi O. S., Jaspart J. P., Benchmarks for Finite Element Modelling of Bolted Steel Connections, Journal of Constructional Steel Research, 43 (1-3), 1997, 17-42. – Used for further validation in COST C1 action • Virdi K. S. et al, Numerical Simulation of Semi Rigid Connections by the Finite Element Method, Report of Working Group 6 Numerical, Simulation COST C1, Brussels Luxembourg, 1999.
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Connections FE research models 35 • Bahaari and Sherbourne (1999) – 3D model – 4 tests
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Connections FE research models 36 • N.K. Hassan (2004) • 2D finite element modeling
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Connections FE research models 37 • Emmett A. Summer (2003) • 12 tests, cycling load • 3D finite element modelling • Models of finger shims
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Connections FE research models 38 • Maggi, Ribeiro (2004) – 12 tests four bolts extended unstiffened end-plate moment connections tests – ANSYS 3D models
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Connections FE research models 39 • Gang Shi, Yougjiu Shi, Yuanqing Wang, M.A.Bradford (2008) • 3D finite element modeling • 6 experiments
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Validation and verification procedures • Well developed in FEM theory • To check the physical accuracy • To check the proper use • To check the asked design level 40
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Definitions of Verification & Validation 41 Validation compares the numerical solution with the experimental data. Validation can be practically split into three tasks: • to detect and separate the model’s significant discrepancies, • to remove and reduce removable and unavoidable errors, • to evaluate uncertainties in the results. Verification uses comparison of computational solutions with highly accurate (analytical or numerical) Verification is supposed to deliver evidence that mathematical models are properly implemented and that the numerical solution is correct with respect to the mathematical model.
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Definitions of Verification & Validation 42 ISO/FDIS 16730 Fire safety engineering - Assessment, verification and validation of calculation methods, Geneva, 2008.
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary General Aspects of Modeling 43 Kwasniewski L. (2009) On practical problems with verification and validation of computational models, Archives of Civil Engineering, LV, 3, 323-346.
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Spectacular example of a software bug 44 $120 million F-22 Raptor F-22 Squadron Shot Down by the International Date Line (2007) Maj. Gen. Don Sheppard (ret.): ”...At the international date line, whoops, all systems dumped and when I say all systems, I mean all systems, their navigation, part of their communications, their fuel systems. …… It was a computer glitch in the millions of lines of code, somebody made an error in a couple lines of the code and everything goes.” http://www.defenseindustrydaily.com
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Famous warning Sinking offshore platform Sleipner A • Failure in a cell wall • Serious crack and leakage • Pumps were not able to cope with • Combination of a serious error in FEM • Insufficient anchorage of the reinforcement in a critical zone • Inaccurate finite element approximation • Linear elastic model of the tricell NASTRAN • Shear stresses underestimated by 47 % • Certain concrete walls not thick enough • Total economic loss of about $700 million http://www.ima.umn.edu/~arnold/disasters/sleipner.html 45
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary What are the predictive capabilities of our computer simulations? 46 Computational Science and Engineering (CS&E) Computational Engineering and Physics (CE&P) Numerical weather prediction Modeling electronic systems e.g. Verilog Numerical models in economics POOR VERY GOOD
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Computational Science and Engineering (CS&E) • Computer simulations Predictive Capabilities 47
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Hierarchy validation and verification 48 Hierarchical verification and validation Testing verification & validation Material characterization, single element tests Component tests (slab strips, joints) Subsystem tests (composite floor) Entire structure (vibration tests) Compression Tension MAT 72R3 MAT 124 EC2 MAT 124 MAT 72R3
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary System response quantity SRQ 49 • Validation is based on the comparison between computational results and experimental data • An experiment can provide much less information than the calculation • Selection of the system response quantity (SRQ) is limited by the experiment output
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Validation domains 50 Application domain defines the intended boundaries for the predictive capability of the computational model Validation domain characterizes the representation capabilities of the experiment. W.L. Oberkampf, T.G. Trucano, C. Hirsch, Verification, validation, and predictive capability in computational engineering and physics, Appl. Mech. Rev. 57 (5), 345–384, 2004
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Validation metrics 51 W.L. Oberkampf, T.G. Trucano, C. Hirsch, Verification, validation, and predictive capability in computational engineering and physics, Appl. Mech. Rev. 57 (5), 345–384, 2004.
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Evaluation of Mechanical Structural Response • Local quantities – Stresses – Internal forces – Larger uncertainties especially • Global quantities – Deflection – Whole (or a large part) of structure – Boundary condition 52
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Verification - Mesh density study 53 • Discretization error 𝐸 = 𝑓ℎ − 𝑓𝑒𝑥𝑎𝑐𝑡 = 𝐶ℎ 𝑝 + 𝐻. 𝑂. 𝑇. ....... • Order of convergence 𝑝 = 𝑙𝑛 𝑓3−𝑓2 𝑓2−𝑓1 𝑙 𝑛 𝑟 • Estimate of the asymptotic solution 𝑓ℎ = 0 ≅ 𝑓1 + 𝑓1 − 𝑓2 𝑟2 − 1 • E1 is the estimator of the relative error 𝐸1 = 𝜀 𝑟 𝑝−1 , 𝜀 = 𝑓1−𝑓2 𝑓1 • Grid Convergence Index – GCI procedure (Richardson extrapolation) 𝐺𝐶𝐼 = 𝐹𝑠 𝜀 𝑟 𝑝 − 1 100% Roache P.J., Verification and validation in computational science and engineering, Computing in Science Engineering, Hermosa pub., 1988, 8-9.
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Verification and Validation of Computer Simulations 54 FE model well replicates the experiment
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Verification and Validation of Computer Simulations 55 Effect of calibration
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Databases of benchmark problems • National Agency for Finite Element Methods and Standards (NAFEMS) www.nafems.org • ~ 280 verification benchmarks • ABAQUS Benchmarks Manual • 264 (93-NAFEMS, 15-thermal analysis) Verification Manual, Example Problems Manual • ANSYS® - around 250 problems • Fire engineering • Standardised ISO/FDIS 16730 Fire safety engineering — Assessment, verification and validation of calculation methods, Geneva, 2008. • DIN EN 1991-1-2 56
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Validation of research model of T stub o Modern history – 1997 • Bursi O. S., Jaspart J. P., Benchmarks for Finite Element Modelling of Bolted Steel Connections, Journal of Constructional Steel Research, 43 (1-3), 1997, 17-42. – 1999 • Virdi K. S. et al, Numerical Simulation of Semi Rigid Connections by the Finite Element Method, Report of Working Group 6 Numerical, Simulation COST C1, Brussels Luxembourg, 1999. 57
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Hierarchy of benchmark studies for structural steel joints • Welded joints – In shear – In bending – Long joint – Flexible plate • Bolted connections – T-stub in tension – Splices in shear – Generally loaded end plate • Slender plate in compression – Triangular haunch – Stiffener of column web – Plate in compression between bolts • Hollow section joints – CHS, RHS members – Hollow and open sections • Column bases – T stub in compression and in tension – Generally loaded base plate 58
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Verification and Benchmark cases Chapters 1. Description 2. Component method 3. CBFEM 4. Force-deformation curve 5. Global behaviour 6. Verification of resistance 7. Global verification Initial stiffness, Resistance, Deformation capacity 8. Benchmark case 59
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Component based FEM • Joint analyses by FEM – Design material model • Component behaviour – Connectors • Bolts – In tension – In shear • Welds • Anchor bolts – Slender plates – Concrete block 60
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Material for FE design model • Bilinear ideal elastic-plastic model 61Može P., Beg D., A complete study of bearing stress in single bolt connections, JCSR, 95 (2014) 126–140 True stress-strain Experimental Design 5%
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary 62 3D – bricks 2D elements - shells Plate modelling o Shells for design o 8 degree of freedom elements o 4 notes (degrades to 3) o Allowing plastification, membrane effects, bifurcation
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Design model Slender plate in compression 63 • Column web • Stiffeners
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary FE research model on T triangular stiffener • Von-Mises stress distribution for beam-to-column joint In frame at a separate element 64
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Research FEM • Shell elements, true-stress true strain material model, mesh sensitivity • Geometrical and material nonlinear model with imperfections (GMNIA) • Imperfections based on 1st buckling mode • Experiments – literature, own • Code RFEM 65
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Experimental research • Material tests • Flanges – 3x free edge, 3x partial stiffener, 3x fully stiffening • Variation of – Stiffener thickness t – Haunch geometry h and w – Flange thickness tf and width bf 66
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Supports and loading • Hinges and compression • Strain gauges LY11-6/120 a XY11-6/120 • Deflectometers • Loading by steps till collapse 67
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Stiffener with free edge h = 400 mm, w = 200 mm, t = 6 mm 68
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Stiffener with free edge h = w = 400 mm, t = 4 mm and t = 6 mm 69
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Stiffener with partial stiffened edge h = w = 400 mm, t = 6 mm, tf = 6 mm, bf = 60 mm 70
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Stiffener with partial stiffened edge h = w = 400 mm, t = 6 mm, tf = 12 mm, bf = 120 mm 71
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Stiffener with partial stiffened edge h = w = 400 mm, t = 4 mm, tf = 12 mm, bf = 120 mm 72
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Validation of research FEM • Validation on force-deformation curve F-δ for resistance • Vertical deformation at centre • Vertical deformation at max. amplitude 73
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Validation of research model Free edge 74 Deformation σ von Mises
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Validation of research model Partial stiffened edge 75 σ von Mises Deformation
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Validation of FE research model on T triangular stiffener tests • Validation of reserch FEM model for resistance 76 0 200 400 600 800 1000 1200 1400 0 200 400 600 800 1000 1200 1400 EXPERIMENT[KN] FEM [KN]
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Design model of slender plate in compression • Buckling analysis 77
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Design model Slender plate in compression To eliminate slender plates in joints Reduced stress method • According to EN 1993-1-5 Annex B • Critical buckling factor - Linear buckling analyses αcr • Load amplifier - Material nonlinear analyses αult,k • Plate slenderness • Plate buckling reduction factor ρ • Evaluation 78 λ 𝑝 = 𝛼 𝑢𝑙𝑡,𝑘 𝛼 𝑐𝑟 𝜌∙𝛼 𝑢𝑙𝑡,𝑘 𝛾 𝑀1 ≥ 1
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Design model Slender plate in compression 79 Fyield FCBFEM Fcr Fult,k 0 20 40 60 80 100 120 140 160 180 200 0 2 4 6 8 10 Load[kN] Deflection [mm] Load-deflection σMISES = fy F = 57,6 kN z = 0,7 mm ε = 0,25% σMISES
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Design model Slender plate in compression 80 Fyield FCBFEM Fcr Fult,k 0 20 40 60 80 100 120 140 160 180 200 0 2 4 6 8 10 Load[kN] Deflection [mm] Load-deflection F = 105,8 kN z = 1,6 mm ε = 0,7% αcr = 1,123 αult,k = 1,659 ρ = 0,603 1,001 > 1 OK σMISES FEXP = 109,7 kN
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Design model Slender plate in compression 81 Fyield FCBFEM Fcr Fult,k 0 20 40 60 80 100 120 140 160 180 200 0 2 4 6 8 10 Load[kN] Deflection [mm] Load-deflection F = 118,8 kN z = 2,1 mm ε = 1% αcr = 1,0 σMISES
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Design model Slender plate in compression 82 Fyield FCBFEM Fcr Fult,k 0 20 40 60 80 100 120 140 160 180 200 0 2 4 6 8 10 Load[kN] Deflection [mm] Load-deflection F = 175,6 kN z = 8,4 mm ε = 5% σMISES
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Design model of bolted connections • In shear • In tension • Nonpreloaded – Are preloaded • Preloaded bolts – Controlled slip 83
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Design model of bolt o Bars and springs o In tension – stiffness, resistence, deformation capacity o In shear – stiffness, resistence, deformation capacity 84 Fan model
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Design model of bolt in tension o Force-displacement diagram 85
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary 86 Bolted connection Deformation stiffness of bolt in tension o References from literature o Experimental research
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary 87 No. Diameter Material Bolt length ls Grip length lt Nut height ln Washer height lw Head height Lh [mm] [mm] [mm] [mm] [mm] 1 M20 8.8 81.5 42.2 15 0 12.6 2 M16 10.9 109 35.4 17 2 x4 10.1 3 M16 10.9 108.2 4 17 2x4.1 10.2 4 M16 10.9 108.2 10.5 12.7 2x4.1 10.2 5 M20 8.8 57.7 32.9 15.1 0 12.6 6 M20 8.8 0 99.3 15.6 3.1+3.2 12.6 7 M20 8.8 57.3 34.4 15.5 0 12.5 8 M20 8.8 57.7 32.1 15.2 2x3 12.5 9 M20 8.8 57.7 31.7 15.3 0 12.5 10 M20 8.8 83.4 19.4 30.4 2x2.9 12.7 11 M20 8.8 0 83.5 31 0 12.5 12 M16 10.9 107.7 18.6 17.1 0 10.2 13 M16 10.9 108.1 25.4 12.7 2x4.1 10 List of own experiments o Two failure modes o Rupture of thread o Tearing down of nut
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Behaviour based on bolt failure 88
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Validation for rupture of thread 89 Deformation, mm Force,kN Experiment Research FEM
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Validation for tearing down of nut 90 Deformation, mm Force,kN Experiment Research FEM
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Parametric study of the bolt tensile stiffness 91 200 300 400 500 600 700 800 900 1000 1100 1200 1300 1400 -5 5 15 25 35 45 55 65 75 85 95 105 115 125 StiffnessK[kN/mm] Shank length [mm] according to EC accodring to Agerskov according to VDI2230 Developed RFEM according to Barron et al.
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Verification of design model of bolt in tension Thread length 17,6 mm Thread length 28,2 mm Bolts M24 grade 8.8 92
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Modelling of T stub behaviour • Research model – Validation • Design model – Verification 93
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Bolts research model • Unequal stresses distribution in the threaded part of the bolt 94
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary T stub behaviour Research FE model • Mesh sensitivity 95
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary T stub behaviour Research FE model • Bending of bolt • MIDAS FEM 96
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Experiment with T stub 97 HEB300 HEB400
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Experiment with T stub 98 HEB300
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Validation – global deformation 99 0 50 100 150 200 250 300 350 400 0.0 2.0 4.0 6.0 8.0 10.0 Force[kN] Deformation [mm] Experiment Solid elements bolts HEB300
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary 100 0 50 100 150 200 250 300 350 0 1000 2000 3000 4000 5000 6000 7000 8000 Force[kN] Deformation [mm/m] Experiment-tenzometr11 Numerický model Plate deformation in yield line Validation – local deformation Experiment, strain gauge 11 Research FEM
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary 0 50 100 150 200 250 300 350 0 1000 2000 3000 4000 5000 6000 7000 8000 Force[kN] Deformation [mm/m] Experiment - tenzometr 9 Numerický model 101 Validation – local deformation Plate deformation in yield line Experiment, strain gauge 9 Research FEM
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Experiment with T stub 102 HEB400
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary 103 HEB 400 Validation – global deformation 0 50 100 150 200 250 300 350 400 0.0 1.0 2.0 3.0 4.0 5.0 6.0 Force[kN] Deformation [mm] Experiment-snímač 2 Numerický model Deformation, mm Force,kN Experiment, stain gauge 1 Research FEM
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary T stub design model Verification 104 )( )( ,1, nmemn Men     w Rdpl,1,w 2 28 RdtF nm 2 ,2,    Rdt,Rdpl,2,2 nF F Rdt M Rdt,FF Rdt 2,3,  CBFEM: Yielding of flange Bolt resistance
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary 105 T stub design model Verification Flange thickness tf Component method CBFEM 3D FEM Resistance Failure Resistance Failure Resistance Failure [kN] [kN] [kN] 10 44 1 75 1 115 1 12 63 1 90 1 144 1 15 98 1 115 1 199.7 1 20 174 1 175 1 268.8 2 25 279 2 249 1 310.3 2 30 305 2 288 2 328.7 2 35 335 2 320 2 347.3 2 40 371 2 358 2 370.7 2 45 407 3 385 2 400 2 50 407 3 412 3 407 3
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary 106 T stub design model Verification 0 50 100 150 200 250 300 350 400 450 tf10 tf12 tf15 tf20 tf25 tf30 tf35 tf40 tf45 tf50 Resistance[kN] Flange thickness [mm] Metoda komponent CBFEM Validovaný vědecký 3D-FEM Component method CBFEM Research FEM
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary 107 T stub design model Verification 0 50 100 150 200 250 300 350 400 450 500 0 50 100 150 200 250 300 350 400 450 500 ResistanceCBFEM[kN] Resistance - Component method [kN] Parametr-tloušťka pásnice Parametr-velikost šroubu Parametr-materiál šroubu Parametr-vzdálenost šroubů Parametr-šířka T-průřezu Variation of Plate thickness Bolt size Bolt materiál Bolt distance T stub thickness
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Connection behaviour bolted connections of open section • Generally – Shear – Tension – Compression • Research model – Validation • Design model – Verification 108
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Verification bolts in tension and in shear End plate connection Steel S355 Plate 12 mm Bolts M16 4.8 109 Beam splices joint
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Verification bolts in tension and in shear Moment - rotational diagram predicted by CBFEM and CM 110 0 10 20 30 40 50 60 0.0 1.0 2.0 3.0 4.0 5.0 Moment[kNm] Rotation [mrad] CBFEM
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Global behaviour bolts in tension and in shear 111 Elastic stresses
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Global behaviour bolts in tension and in shear 112 Plastification round the lower bolts
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Global behaviour bolts in tension and in shear 113 Plastification round the upper bolts
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Global behaviour bolts in tension and in shear 114 Plastification round the flanges
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Global behaviour bolts in tension and in shear 115 Plastification in the web of HEA
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Global behaviour bolts in tension and in shear 116 Plastification in the web of HEA
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Global behaviour bolts in tension and in shear Plastification in the web of HEA
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Global behaviour bolts in tension and in shear 118 Plastification in the web of HEA
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Global behaviour bolts in tension and in shear 119 Full plastification in the web of HEA
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Verification bolts in tension End plate thickness 120
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Verification bolts in tension Geometrical and material parameter 121
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Verification bolts in shear 122 M16 M20 M24 M27 0 50 100 150 200 250 300 350 400 450 500 DesignshearresisatnceVz[kN] Bolt size Component method CBFEM 4.8 5.8 6.8 8.8 10.9 0 50 100 150 200 250 300 350 400 DesignshearresisatnceVz[kN] Bolt material Component method CBFEM
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Verification bolts in shear 123 0 50 100 150 200 250 300 350 400 450 500 0 100 200 300 400 500 CBFEM-DesignshearresistanceVz[kN] CM - Design shear resistance Vz [kN] Parameter - End-plate thickness Parameter - Bolt size Parameter - Bolt material CBFEM=CM CBFEM=1,05 CM
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Verification deformation capacity Component method by Beg D., Zupančič E., Vayas I., On the rotation capacity of moment connections, Journal of Constructional Steel Research, 60, 3–5, 2004, 601–620. 124 0 10 20 30 40 50 60 0.0 2.0 4.0 6.0 8.0 10.0 Moment[kNm] Rotation [mrad] CBFEM Component method εCd = 10 % εCd = 5 %
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Prediction of Deformation capacity 125 o Material o For resistence εCd = 5 % o For deformation capacity εCd = 15 % o Actual yield strength EN 1998-1-8 cl. 6.2 Overstrenght factor gov = 1,25 fy,max ≤ 1,1 gov fy
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Generaly loaded connections Experiments – beam splices 126
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Verification to component model Welded portal frame eaves moment connection 127 Beam IPE330 to column HEB260 connection
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Verification to component model Welded portal frame eaves moment connection 128 Parameter Component method CBFEM-Idea RS Resistance [kN/kNm] Critical component Resistance [kN/kNm] Critical component IPE140 24 Beam flange in compression 27 Beam flange in compression IPE160 33 Beam flange in compression 34 Beam flange in compression IPE180 44 Beam flange in compression 48 Beam flange in compression IPE200 59 Beam flange in compression 67 Beam flange in compression IPE220 77 Beam flange in compression 80 Beam flange in compression IPE240 98 Beam flange in compression 103 Beam flange in compression IPE270 113 Beam flange in compression 125 Beam flange in compression IPE300 142 Web panel in shear 142 Beam flange in compression IPE330 155 Web panel in shear 154 Beam flange in compression IPE360 168 Web panel in shear 167 Web panel in shear IPE400 186 Web panel in shear 183 Web panel in shear IPE450 209 Web panel in shear 202 Web panel in shear IPE500 231 Web panel in shear 223 Web panel in shear
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Verification to component model Welded portal frame eaves moment connection 129 0 50 100 150 200 250 120 140 160 180 200 220 240 260 280 300 320 340 360 380 400 420 440 460 480 500 520 DesignresistanceMy/Vz[kNm/kN] Size of IPE profile of the beam CM-beam flange in compression CM-web panel in shear CBFEM-beam flange in compression CBFEM-web panel in shear
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Verification to component model Welded portal frame eaves moment connection 130 0 50 100 150 200 250 300 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 DesignresistanceMy/Vz[kNm/kN] Thickness of the column web CM-beam flange in compression CM-web panel in shear CBFEM-beam flange in compression CBFEM-web panel in shear o Thickness of the column web
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Verification to component model Welded portal frame eaves moment connection 131 0 50 100 150 200 250 300 0 50 100 150 200 250 300 CBFEM-Designresistance-My/Vz[kNm/kN] CM-Design resistance - My/Vz [kNm/kN] Parameter-Size of the beam Parameter-Size of the column HEA Parameter-Size of the column HEB Parameter-Thickness of the column web CBFEM=CM CBFEM=1,05 CM CBFEM=0,95 CM
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Joint between open and hollow section • Verification – Welds – FEM meshing • Benchmark case – HEA 240 and hollow section RHS 180x100x10 – Loaded by bending moment and shear force 132
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Welds for FEM design model • Model of weld – ┴ ; ║ - stiffness, resistence, deformation capacity – ┴ - stiffness, resistence, deformation capacity – ║ - neglected 133
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Joint between open and hollow section Elastic stage 134
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Joint between open and hollow section Plastification of the hollow section RHS upper flange 135
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Joint between open and hollow section Initial plastification in the open section web 136
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Joint between open and hollow section Initial plastification in the open section flange 137
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Joint between open and hollow section Full plastification through the open section web 138
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Joint between open and hollow section Initial plastification in the hollow section RHS web 139
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Joint between open and hollow section Plastification of second flange of open section HEA 140
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Joint between open and hollow section The open section web reaches design strain 5% 141
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Joint between open and hollow section Verification of resistence CBFEM to CIDEC model 142 Variation of IPE chord HEB chord HEA chord CBFEM / CIDEC 0,95 CBFEM / CIDEC 1,05 CBFEM / CIDEC Resistance, CBFEM , kN Resistance,CIDECanalyticalmodel,kN
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Summary • Results shows the good accuracy of CBFEM verified to CM • For higher stiffness / resistance / deformation capacity CBFEM compare to CM verification by research FEM validated to experiments 143
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Summary 144 „Verification deals with mathematics; validation deals with physics’’ Roache P.J. (1998) Verification and validation in computational science and engineering, Hermosa Publishers Albuquerque, NM.
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Summary o CM in tables and tools limits poor design by incompetent amateurs o CBFEM allows properly analysed/checked − Complex design solutions − Complicatedly loaded joints − By well-trained experts 145
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Summary o Benchmark cases and correct use of V&V limits the improper use of model o The high-quality education the background of design of pretty structural connections 146
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Hierarchy of benchmark studies for structural steel joints • Welded joints – In shear – In bending – Long joint – Flexible plate • Bolted connections – T-stub in tension – Splices in shear – Generally loaded end plate • Slender plate in compression – Triangular haunch – Stiffener of column web – Plate in compression between bolts • Hollow section joints – CHS, RHS members – Hollow and open sections • Column bases – T stub in compression and in tension – Generally loaded base plate 147
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary What are the predictive capabilities of our computer simulations? „Essentially, all models are wrong, but some are useful’’ Box G.E.P., Draper N.R. (1987) Empirical model-building and response surfaces, John Wiley & Sons., pp. 669. 148
Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Background references Component based FEM • Wald, F., Gödrich, L., Šabatka L., Kabeláč, J., Navrátil, J., Component Based Finite Element Model of Structural Connections. In Steel, Space and Composite Structures. Singapore, 2014, 337-344, ISBN 978-981-09-0077-9. • Gödrich L., Wald F., Sokol Z., Advanced Modelling of End Plate. In Eurosteel 2014. Brussels, ECCS, 2014, 287-288, ISBN 978-92-9147-121-8. • Gödrich L., Kurejková M., Wald F., Sokol, Z., The Bolts and Compressed Plates Modelling. In Steel, Space and Composite Structures, Singapore, 2014, 215-224, ISBN 978- 981-09-0077-9. • Wald F., Šabatka L., Kabeláč J., Kolaja D., Pospíšil M., Structural Analysis and Design of Steel Connections using Component Based Finite Element Model (CBFEM), Journal of Civil Engineering and Architecture, 10/2015.
Thank you for your attention František Wald Czech Technical University in Prague URL: www.ocel-drevo.fsv.cvut.cz

Recommended

Eurocode 2 design of composite concrete
Eurocode 2 design of composite concreteEurocode 2 design of composite concrete
Eurocode 2 design of composite concreteJo Gijbels
 
CE 72.52 - Lecture 7 - Strut and Tie Models
CE 72.52 - Lecture 7 - Strut and Tie ModelsCE 72.52 - Lecture 7 - Strut and Tie Models
CE 72.52 - Lecture 7 - Strut and Tie ModelsFawad Najam
 
Sap2000 basic
Sap2000 basicSap2000 basic
Sap2000 basicNoureddine Semara
 
ETABS manual - Seismic design of steel buildings according to Eurocode 3 & 8
ETABS manual - Seismic design of steel buildings according to Eurocode 3 & 8 ETABS manual - Seismic design of steel buildings according to Eurocode 3 & 8
ETABS manual - Seismic design of steel buildings according to Eurocode 3 & 8 Eur Ing Valentinos Neophytou BEng (Hons), MSc, CEng MICE
 
Etabs (atkins)
Etabs (atkins)Etabs (atkins)
Etabs (atkins)Albert deGuzman
 
How to model and analyse structures using etabs
How to model and analyse structures using etabsHow to model and analyse structures using etabs
How to model and analyse structures using etabsWilson vils
 
Earthquake analysis by Response Spectrum Method
Earthquake analysis by Response Spectrum MethodEarthquake analysis by Response Spectrum Method
Earthquake analysis by Response Spectrum MethodPralhad Kore
 
ASD vs LRFD_ForWebSite.ppt
ASD vs LRFD_ForWebSite.pptASD vs LRFD_ForWebSite.ppt
ASD vs LRFD_ForWebSite.pptssuser523d4d
 

Recommended

Eurocode 2 design of composite concrete
Eurocode 2 design of composite concreteEurocode 2 design of composite concrete
Eurocode 2 design of composite concreteJo Gijbels
 
CE 72.52 - Lecture 7 - Strut and Tie Models
CE 72.52 - Lecture 7 - Strut and Tie ModelsCE 72.52 - Lecture 7 - Strut and Tie Models
CE 72.52 - Lecture 7 - Strut and Tie ModelsFawad Najam
 
Sap2000 basic
Sap2000 basicSap2000 basic
Sap2000 basicNoureddine Semara
 
ETABS manual - Seismic design of steel buildings according to Eurocode 3 & 8
ETABS manual - Seismic design of steel buildings according to Eurocode 3 & 8 ETABS manual - Seismic design of steel buildings according to Eurocode 3 & 8
ETABS manual - Seismic design of steel buildings according to Eurocode 3 & 8 Eur Ing Valentinos Neophytou BEng (Hons), MSc, CEng MICE
 
Etabs (atkins)
Etabs (atkins)Etabs (atkins)
Etabs (atkins)Albert deGuzman
 
How to model and analyse structures using etabs
How to model and analyse structures using etabsHow to model and analyse structures using etabs
How to model and analyse structures using etabsWilson vils
 
Earthquake analysis by Response Spectrum Method
Earthquake analysis by Response Spectrum MethodEarthquake analysis by Response Spectrum Method
Earthquake analysis by Response Spectrum MethodPralhad Kore
 
ASD vs LRFD_ForWebSite.ppt
ASD vs LRFD_ForWebSite.pptASD vs LRFD_ForWebSite.ppt
ASD vs LRFD_ForWebSite.pptssuser523d4d
 
Design of Steel Structures Syllabus
Design of Steel Structures SyllabusDesign of Steel Structures Syllabus
Design of Steel Structures SyllabusMuthanna Abbu
 
Rc bldg. modeling & analysis
Rc bldg. modeling & analysisRc bldg. modeling & analysis
Rc bldg. modeling & analysisRamil Artates
 
Etabs steel-design
Etabs steel-designEtabs steel-design
Etabs steel-designMuhammad Iqbal
 
Reinforced Concrete Structure and Detailing Module
Reinforced Concrete Structure and Detailing ModuleReinforced Concrete Structure and Detailing Module
Reinforced Concrete Structure and Detailing ModuleBahzad5
 
Staad. pro tuto
Staad. pro tutoStaad. pro tuto
Staad. pro tutoRamil Artates
 
How To Design Concrete Structures Using Eurocode 2
How To Design Concrete Structures Using Eurocode 2How To Design Concrete Structures Using Eurocode 2
How To Design Concrete Structures Using Eurocode 2Cтроителен Инженер
 
Aitc step by-step procedure for pbd of 40-story rc building_overall (20141105)
Aitc step by-step procedure for pbd of 40-story rc building_overall (20141105)Aitc step by-step procedure for pbd of 40-story rc building_overall (20141105)
Aitc step by-step procedure for pbd of 40-story rc building_overall (20141105)Ramil Artates
 
ACI 318-19 Ingles.pdf
ACI 318-19 Ingles.pdfACI 318-19 Ingles.pdf
ACI 318-19 Ingles.pdffjimmy
 
CE72.52 - Lecture1 - Introduction
CE72.52 - Lecture1 - IntroductionCE72.52 - Lecture1 - Introduction
CE72.52 - Lecture1 - IntroductionFawad Najam
 
Connection design
Connection designConnection design
Connection designEduardo
 
Comparision of Design Codes ACI 318-11, IS 456 2000 and Eurocode II
Comparision of Design Codes ACI 318-11, IS 456 2000 and Eurocode IIComparision of Design Codes ACI 318-11, IS 456 2000 and Eurocode II
Comparision of Design Codes ACI 318-11, IS 456 2000 and Eurocode IIijtsrd
 
Anchorage and lap splicing Detailing of slabs, columns, beams, footings
Anchorage and lap splicing Detailing of slabs, columns, beams, footingsAnchorage and lap splicing Detailing of slabs, columns, beams, footings
Anchorage and lap splicing Detailing of slabs, columns, beams, footingskarthickcivic
 
Rcs1-Chapter2-Standards
Rcs1-Chapter2-StandardsRcs1-Chapter2-Standards
Rcs1-Chapter2-StandardsMarwan Sadek
 
Wind provisions
Wind provisionsWind provisions
Wind provisionsErick Cubillos
 
Graduation Project (DESIGN AND ANALYSIS OF MULTI-TOWER STRUCTURE USING ETABS).
Graduation Project (DESIGN AND ANALYSIS OF MULTI-TOWER STRUCTURE USING ETABS).Graduation Project (DESIGN AND ANALYSIS OF MULTI-TOWER STRUCTURE USING ETABS).
Graduation Project (DESIGN AND ANALYSIS OF MULTI-TOWER STRUCTURE USING ETABS).khaledalshami93
 
22-Design of Four Bolt Extended Endplate Connection (Steel Structural Design ...
22-Design of Four Bolt Extended Endplate Connection (Steel Structural Design ...22-Design of Four Bolt Extended Endplate Connection (Steel Structural Design ...
22-Design of Four Bolt Extended Endplate Connection (Steel Structural Design ...Hossam Shafiq II
 
ETABS Modelling
ETABS ModellingETABS Modelling
ETABS ModellingEur Ing Valentinos Neophytou BEng (Hons), MSc, CEng MICE
 
Calulation of deflection and crack width according to is 456 2000
Calulation of deflection and crack width according to is 456 2000Calulation of deflection and crack width according to is 456 2000
Calulation of deflection and crack width according to is 456 2000Vikas Mehta
 
Etabs example-rc building seismic load response-
Etabs example-rc building seismic load response-Etabs example-rc building seismic load response-
Etabs example-rc building seismic load response-Bhaskar Alapati
 
Ssb04 detailed design of portal frames
Ssb04 detailed design of portal framesSsb04 detailed design of portal frames
Ssb04 detailed design of portal framesMd. Shahadat Hossain
 
CBFEM_MC_L1_Open.pptx
CBFEM_MC_L1_Open.pptxCBFEM_MC_L1_Open.pptx
CBFEM_MC_L1_Open.pptxMohamedOmerHassan
 
kanvinde_pam2020.pdf
kanvinde_pam2020.pdfkanvinde_pam2020.pdf
kanvinde_pam2020.pdfEduardoNuezCastellan
 

More Related Content

What's hot

Design of Steel Structures Syllabus
Design of Steel Structures SyllabusDesign of Steel Structures Syllabus
Design of Steel Structures SyllabusMuthanna Abbu
 
Rc bldg. modeling & analysis
Rc bldg. modeling & analysisRc bldg. modeling & analysis
Rc bldg. modeling & analysisRamil Artates
 
Reinforced Concrete Structure and Detailing Module
Reinforced Concrete Structure and Detailing ModuleReinforced Concrete Structure and Detailing Module
Reinforced Concrete Structure and Detailing ModuleBahzad5
 
Aitc step by-step procedure for pbd of 40-story rc building_overall (20141105)
Aitc step by-step procedure for pbd of 40-story rc building_overall (20141105)Aitc step by-step procedure for pbd of 40-story rc building_overall (20141105)
Aitc step by-step procedure for pbd of 40-story rc building_overall (20141105)Ramil Artates
 
ACI 318-19 Ingles.pdf
ACI 318-19 Ingles.pdfACI 318-19 Ingles.pdf
ACI 318-19 Ingles.pdffjimmy
 
CE72.52 - Lecture1 - Introduction
CE72.52 - Lecture1 - IntroductionCE72.52 - Lecture1 - Introduction
CE72.52 - Lecture1 - IntroductionFawad Najam
 
Connection design
Connection designConnection design
Connection designEduardo
 
Comparision of Design Codes ACI 318-11, IS 456 2000 and Eurocode II
Comparision of Design Codes ACI 318-11, IS 456 2000 and Eurocode IIComparision of Design Codes ACI 318-11, IS 456 2000 and Eurocode II
Comparision of Design Codes ACI 318-11, IS 456 2000 and Eurocode IIijtsrd
 
Anchorage and lap splicing Detailing of slabs, columns, beams, footings
Anchorage and lap splicing Detailing of slabs, columns, beams, footingsAnchorage and lap splicing Detailing of slabs, columns, beams, footings
Anchorage and lap splicing Detailing of slabs, columns, beams, footingskarthickcivic
 
Rcs1-Chapter2-Standards
Rcs1-Chapter2-StandardsRcs1-Chapter2-Standards
Rcs1-Chapter2-StandardsMarwan Sadek
 
Graduation Project (DESIGN AND ANALYSIS OF MULTI-TOWER STRUCTURE USING ETABS).
Graduation Project (DESIGN AND ANALYSIS OF MULTI-TOWER STRUCTURE USING ETABS).Graduation Project (DESIGN AND ANALYSIS OF MULTI-TOWER STRUCTURE USING ETABS).
Graduation Project (DESIGN AND ANALYSIS OF MULTI-TOWER STRUCTURE USING ETABS).khaledalshami93
 
22-Design of Four Bolt Extended Endplate Connection (Steel Structural Design ...
22-Design of Four Bolt Extended Endplate Connection (Steel Structural Design ...22-Design of Four Bolt Extended Endplate Connection (Steel Structural Design ...
22-Design of Four Bolt Extended Endplate Connection (Steel Structural Design ...Hossam Shafiq II
 
Calulation of deflection and crack width according to is 456 2000
Calulation of deflection and crack width according to is 456 2000Calulation of deflection and crack width according to is 456 2000
Calulation of deflection and crack width according to is 456 2000Vikas Mehta
 
Etabs example-rc building seismic load response-
Etabs example-rc building seismic load response-Etabs example-rc building seismic load response-
Etabs example-rc building seismic load response-Bhaskar Alapati
 
Ssb04 detailed design of portal frames
Ssb04 detailed design of portal framesSsb04 detailed design of portal frames
Ssb04 detailed design of portal framesMd. Shahadat Hossain
 

What's hot (20)

Design of Steel Structures Syllabus
Design of Steel Structures SyllabusDesign of Steel Structures Syllabus
Design of Steel Structures Syllabus
 
Rc bldg. modeling & analysis
Rc bldg. modeling & analysisRc bldg. modeling & analysis
Rc bldg. modeling & analysis
 
Etabs steel-design
Etabs steel-designEtabs steel-design
Etabs steel-design
 
Reinforced Concrete Structure and Detailing Module
Reinforced Concrete Structure and Detailing ModuleReinforced Concrete Structure and Detailing Module
Reinforced Concrete Structure and Detailing Module
 
Staad. pro tuto
Staad. pro tutoStaad. pro tuto
Staad. pro tuto
 
How To Design Concrete Structures Using Eurocode 2
How To Design Concrete Structures Using Eurocode 2How To Design Concrete Structures Using Eurocode 2
How To Design Concrete Structures Using Eurocode 2
 
Aitc step by-step procedure for pbd of 40-story rc building_overall (20141105)
Aitc step by-step procedure for pbd of 40-story rc building_overall (20141105)Aitc step by-step procedure for pbd of 40-story rc building_overall (20141105)
Aitc step by-step procedure for pbd of 40-story rc building_overall (20141105)
 
ACI 318-19 Ingles.pdf
ACI 318-19 Ingles.pdfACI 318-19 Ingles.pdf
ACI 318-19 Ingles.pdf
 
CE72.52 - Lecture1 - Introduction
CE72.52 - Lecture1 - IntroductionCE72.52 - Lecture1 - Introduction
CE72.52 - Lecture1 - Introduction
 
Connection design
Connection designConnection design
Connection design
 
Comparision of Design Codes ACI 318-11, IS 456 2000 and Eurocode II
Comparision of Design Codes ACI 318-11, IS 456 2000 and Eurocode IIComparision of Design Codes ACI 318-11, IS 456 2000 and Eurocode II
Comparision of Design Codes ACI 318-11, IS 456 2000 and Eurocode II
 
Anchorage and lap splicing Detailing of slabs, columns, beams, footings
Anchorage and lap splicing Detailing of slabs, columns, beams, footingsAnchorage and lap splicing Detailing of slabs, columns, beams, footings
Anchorage and lap splicing Detailing of slabs, columns, beams, footings
 
Rcs1-Chapter2-Standards
Rcs1-Chapter2-StandardsRcs1-Chapter2-Standards
Rcs1-Chapter2-Standards
 
Wind provisions
Wind provisionsWind provisions
Wind provisions
 
Graduation Project (DESIGN AND ANALYSIS OF MULTI-TOWER STRUCTURE USING ETABS).
Graduation Project (DESIGN AND ANALYSIS OF MULTI-TOWER STRUCTURE USING ETABS).Graduation Project (DESIGN AND ANALYSIS OF MULTI-TOWER STRUCTURE USING ETABS).
Graduation Project (DESIGN AND ANALYSIS OF MULTI-TOWER STRUCTURE USING ETABS).
 
22-Design of Four Bolt Extended Endplate Connection (Steel Structural Design ...
22-Design of Four Bolt Extended Endplate Connection (Steel Structural Design ...22-Design of Four Bolt Extended Endplate Connection (Steel Structural Design ...
22-Design of Four Bolt Extended Endplate Connection (Steel Structural Design ...
 
ETABS Modelling
ETABS ModellingETABS Modelling
ETABS Modelling
 
Calulation of deflection and crack width according to is 456 2000
Calulation of deflection and crack width according to is 456 2000Calulation of deflection and crack width according to is 456 2000
Calulation of deflection and crack width according to is 456 2000
 
Etabs example-rc building seismic load response-
Etabs example-rc building seismic load response-Etabs example-rc building seismic load response-
Etabs example-rc building seismic load response-
 
Ssb04 detailed design of portal frames
Ssb04 detailed design of portal framesSsb04 detailed design of portal frames
Ssb04 detailed design of portal frames
 

Similar to Component Based Finite Element Method for Structural Connection Analysis

EXPO Poster Eamonn Brennan
EXPO Poster Eamonn BrennanEXPO Poster Eamonn Brennan
EXPO Poster Eamonn BrennanEamonn Brennan
 
Finite Element analysis of a hybrid RCS beam-column connection
Finite Element analysis of a hybrid RCS beam-column connectionFinite Element analysis of a hybrid RCS beam-column connection
Finite Element analysis of a hybrid RCS beam-column connectionQuang Huy Nguyen
 
Charge Weld Prediction and Minimization in Extrusion - Choose ahead, choose A...
Charge Weld Prediction and Minimization in Extrusion - Choose ahead, choose A...Charge Weld Prediction and Minimization in Extrusion - Choose ahead, choose A...
Charge Weld Prediction and Minimization in Extrusion - Choose ahead, choose A...Tommaso Pinter
 
The effect of the holes on the buckling behavior of thin-walled members
The effect of the holes on the buckling behavior of thin-walled members The effect of the holes on the buckling behavior of thin-walled members
The effect of the holes on the buckling behavior of thin-walled members Mohanad Habh
 
Defense_Thesis_Ramy_Gabr_06-22-2014_Final-with notes - Copy
Defense_Thesis_Ramy_Gabr_06-22-2014_Final-with notes - CopyDefense_Thesis_Ramy_Gabr_06-22-2014_Final-with notes - Copy
Defense_Thesis_Ramy_Gabr_06-22-2014_Final-with notes - CopyRamy Gabr, M.Sc, P.E.
 
Shear testing of prestressed concrete girders
Shear testing of prestressed concrete girdersShear testing of prestressed concrete girders
Shear testing of prestressed concrete girdersEva Lantsoght
 
LIVE LOAD DISTRIBUTION FACTORS FOR CONCRETE BRIDGES SUITABLE FOR ECP 201 AND...
LIVE LOAD DISTRIBUTION FACTORS FOR CONCRETE BRIDGES SUITABLE FOR ECP 201 AND... LIVE LOAD DISTRIBUTION FACTORS FOR CONCRETE BRIDGES SUITABLE FOR ECP 201 AND...
LIVE LOAD DISTRIBUTION FACTORS FOR CONCRETE BRIDGES SUITABLE FOR ECP 201 AND...Ezzeldin Mohamed
 
Experience of participation in EU Funded R&D projects - ALJOIN Case Study - G...
Experience of participation in EU Funded R&D projects - ALJOIN Case Study - G...Experience of participation in EU Funded R&D projects - ALJOIN Case Study - G...
Experience of participation in EU Funded R&D projects - ALJOIN Case Study - G...KTN
 
Real World Nonlinear Mechanical Applications
Real World Nonlinear Mechanical ApplicationsReal World Nonlinear Mechanical Applications
Real World Nonlinear Mechanical ApplicationsDesign World
 
IDEA connection 2015 Seminar Genk
IDEA connection 2015 Seminar GenkIDEA connection 2015 Seminar Genk
IDEA connection 2015 Seminar GenkJo Gijbels
 
Episode 32 : Project Execution Part (3)
Episode 32 : Project Execution Part (3)Episode 32 : Project Execution Part (3)
Episode 32 : Project Execution Part (3)SAJJAD KHUDHUR ABBAS
 
Applied Fluid Mechanics - Course Overview (AFD0)
Applied Fluid Mechanics - Course Overview (AFD0)Applied Fluid Mechanics - Course Overview (AFD0)
Applied Fluid Mechanics - Course Overview (AFD0)Chemical Engineering Guy
 

Similar to Component Based Finite Element Method for Structural Connection Analysis (20)

CBFEM_MC_L1_Open.pptx
CBFEM_MC_L1_Open.pptxCBFEM_MC_L1_Open.pptx
CBFEM_MC_L1_Open.pptx
 
kanvinde_pam2020.pdf
kanvinde_pam2020.pdfkanvinde_pam2020.pdf
kanvinde_pam2020.pdf
 
AFD2 Piping, Fittings and Valves
AFD2 Piping, Fittings and ValvesAFD2 Piping, Fittings and Valves
AFD2 Piping, Fittings and Valves
 
EXPO Poster Eamonn Brennan
EXPO Poster Eamonn BrennanEXPO Poster Eamonn Brennan
EXPO Poster Eamonn Brennan
 
Finite Element analysis of a hybrid RCS beam-column connection
Finite Element analysis of a hybrid RCS beam-column connectionFinite Element analysis of a hybrid RCS beam-column connection
Finite Element analysis of a hybrid RCS beam-column connection
 
Charge Weld Prediction and Minimization in Extrusion - Choose ahead, choose A...
Charge Weld Prediction and Minimization in Extrusion - Choose ahead, choose A...Charge Weld Prediction and Minimization in Extrusion - Choose ahead, choose A...
Charge Weld Prediction and Minimization in Extrusion - Choose ahead, choose A...
 
The effect of the holes on the buckling behavior of thin-walled members
The effect of the holes on the buckling behavior of thin-walled members The effect of the holes on the buckling behavior of thin-walled members
The effect of the holes on the buckling behavior of thin-walled members
 
Defense_Thesis_Ramy_Gabr_06-22-2014_Final-with notes - Copy
Defense_Thesis_Ramy_Gabr_06-22-2014_Final-with notes - CopyDefense_Thesis_Ramy_Gabr_06-22-2014_Final-with notes - Copy
Defense_Thesis_Ramy_Gabr_06-22-2014_Final-with notes - Copy
 
Conference ppt
Conference pptConference ppt
Conference ppt
 
Shear testing of prestressed concrete girders
Shear testing of prestressed concrete girdersShear testing of prestressed concrete girders
Shear testing of prestressed concrete girders
 
LIVE LOAD DISTRIBUTION FACTORS FOR CONCRETE BRIDGES SUITABLE FOR ECP 201 AND...
LIVE LOAD DISTRIBUTION FACTORS FOR CONCRETE BRIDGES SUITABLE FOR ECP 201 AND... LIVE LOAD DISTRIBUTION FACTORS FOR CONCRETE BRIDGES SUITABLE FOR ECP 201 AND...
LIVE LOAD DISTRIBUTION FACTORS FOR CONCRETE BRIDGES SUITABLE FOR ECP 201 AND...
 
Experience of participation in EU Funded R&D projects - ALJOIN Case Study - G...
Experience of participation in EU Funded R&D projects - ALJOIN Case Study - G...Experience of participation in EU Funded R&D projects - ALJOIN Case Study - G...
Experience of participation in EU Funded R&D projects - ALJOIN Case Study - G...
 
G012465564
G012465564G012465564
G012465564
 
Real World Nonlinear Mechanical Applications
Real World Nonlinear Mechanical ApplicationsReal World Nonlinear Mechanical Applications
Real World Nonlinear Mechanical Applications
 
Retrofitting Reinforced Concrete
Retrofitting Reinforced Concrete Retrofitting Reinforced Concrete
Retrofitting Reinforced Concrete
 
GATE
GATEGATE
GATE
 
IDEA connection 2015 Seminar Genk
IDEA connection 2015 Seminar GenkIDEA connection 2015 Seminar Genk
IDEA connection 2015 Seminar Genk
 
Episode 32 : Project Execution Part (3)
Episode 32 : Project Execution Part (3)Episode 32 : Project Execution Part (3)
Episode 32 : Project Execution Part (3)
 
AFD - Incompressible Flow - Introduction
AFD - Incompressible Flow - IntroductionAFD - Incompressible Flow - Introduction
AFD - Incompressible Flow - Introduction
 
Applied Fluid Mechanics - Course Overview (AFD0)
Applied Fluid Mechanics - Course Overview (AFD0)Applied Fluid Mechanics - Course Overview (AFD0)
Applied Fluid Mechanics - Course Overview (AFD0)
 

More from Jo Gijbels

What is new in IDEA StatiCa Concrete 21,21.1 and 22
What is new in IDEA StatiCa Concrete 21,21.1 and 22What is new in IDEA StatiCa Concrete 21,21.1 and 22
What is new in IDEA StatiCa Concrete 21,21.1 and 22Jo Gijbels
 
1st block_BIM+NEWS in IDEA StatiCa Steel v22.0
1st block_BIM+NEWS in IDEA StatiCa Steel v22.01st block_BIM+NEWS in IDEA StatiCa Steel v22.0
1st block_BIM+NEWS in IDEA StatiCa Steel v22.0Jo Gijbels
 
General introduction of IDEA StatiCa Concrete 2022
General introduction of IDEA StatiCa Concrete 2022General introduction of IDEA StatiCa Concrete 2022
General introduction of IDEA StatiCa Concrete 2022Jo Gijbels
 
IDEA StatiCa Assemblages Acier
IDEA StatiCa Assemblages AcierIDEA StatiCa Assemblages Acier
IDEA StatiCa Assemblages AcierJo Gijbels
 
Checks for walls and details of concrete structures
Checks for walls and details of concrete structuresChecks for walls and details of concrete structures
Checks for walls and details of concrete structuresJo Gijbels
 
IDEA StatiCa Steel Connections v. 8.2 November 2017
IDEA StatiCa Steel Connections v. 8.2 November 2017IDEA StatiCa Steel Connections v. 8.2 November 2017
IDEA StatiCa Steel Connections v. 8.2 November 2017Jo Gijbels
 
Release notes IDEA StatiCa steel v8 2
Release notes IDEA StatiCa steel v8 2Release notes IDEA StatiCa steel v8 2
Release notes IDEA StatiCa steel v8 2Jo Gijbels
 
IDEA StatiCa steel version 8.2
IDEA StatiCa steel version 8.2IDEA StatiCa steel version 8.2
IDEA StatiCa steel version 8.2Jo Gijbels
 
IDEA StatiCa steel connections
IDEA StatiCa steel connectionsIDEA StatiCa steel connections
IDEA StatiCa steel connectionsJo Gijbels
 
IDEA StatiCa steel connections
IDEA StatiCa steel connectionsIDEA StatiCa steel connections
IDEA StatiCa steel connectionsJo Gijbels
 
IDEA StatiCa Concrete details
IDEA StatiCa Concrete detailsIDEA StatiCa Concrete details
IDEA StatiCa Concrete detailsJo Gijbels
 
IDEA StatiCa Concrete detail
IDEA StatiCa Concrete detail IDEA StatiCa Concrete detail
IDEA StatiCa Concrete detail Jo Gijbels
 
Dlubal RFEM BNL klanten
Dlubal RFEM BNL klantenDlubal RFEM BNL klanten
Dlubal RFEM BNL klantenJo Gijbels
 
Thesis Dlubal RFEM EC3 Fire UHasselt 2017
Thesis Dlubal RFEM EC3 Fire UHasselt 2017Thesis Dlubal RFEM EC3 Fire UHasselt 2017
Thesis Dlubal RFEM EC3 Fire UHasselt 2017Jo Gijbels
 
Eindwerk IDEA Steel Connection KU Leuven 2017
Eindwerk IDEA Steel Connection KU Leuven 2017Eindwerk IDEA Steel Connection KU Leuven 2017
Eindwerk IDEA Steel Connection KU Leuven 2017Jo Gijbels
 
Concrete and prestressing made simple - IDEA StatiCa version 8
Concrete and prestressing made simple - IDEA StatiCa version 8Concrete and prestressing made simple - IDEA StatiCa version 8
Concrete and prestressing made simple - IDEA StatiCa version 8Jo Gijbels
 
Ifc certificate 2x3 Dlubal RSTAB & RFEM
Ifc certificate 2x3 Dlubal RSTAB & RFEMIfc certificate 2x3 Dlubal RSTAB & RFEM
Ifc certificate 2x3 Dlubal RSTAB & RFEMJo Gijbels
 
Bim integration in Dlubal RFEM and RSTAB
Bim integration in Dlubal RFEM and RSTABBim integration in Dlubal RFEM and RSTAB
Bim integration in Dlubal RFEM and RSTABJo Gijbels
 
Customer projects Dlubal RFEM RSTAB
Customer projects Dlubal RFEM RSTAB Customer projects Dlubal RFEM RSTAB
Customer projects Dlubal RFEM RSTAB Jo Gijbels
 
IDEA Steel connection referenties België
IDEA Steel connection referenties BelgiëIDEA Steel connection referenties België
IDEA Steel connection referenties BelgiëJo Gijbels
 

More from Jo Gijbels (20)

What is new in IDEA StatiCa Concrete 21,21.1 and 22
What is new in IDEA StatiCa Concrete 21,21.1 and 22What is new in IDEA StatiCa Concrete 21,21.1 and 22
What is new in IDEA StatiCa Concrete 21,21.1 and 22
 
1st block_BIM+NEWS in IDEA StatiCa Steel v22.0
1st block_BIM+NEWS in IDEA StatiCa Steel v22.01st block_BIM+NEWS in IDEA StatiCa Steel v22.0
1st block_BIM+NEWS in IDEA StatiCa Steel v22.0
 
General introduction of IDEA StatiCa Concrete 2022
General introduction of IDEA StatiCa Concrete 2022General introduction of IDEA StatiCa Concrete 2022
General introduction of IDEA StatiCa Concrete 2022
 
IDEA StatiCa Assemblages Acier
IDEA StatiCa Assemblages AcierIDEA StatiCa Assemblages Acier
IDEA StatiCa Assemblages Acier
 
Checks for walls and details of concrete structures
Checks for walls and details of concrete structuresChecks for walls and details of concrete structures
Checks for walls and details of concrete structures
 
IDEA StatiCa Steel Connections v. 8.2 November 2017
IDEA StatiCa Steel Connections v. 8.2 November 2017IDEA StatiCa Steel Connections v. 8.2 November 2017
IDEA StatiCa Steel Connections v. 8.2 November 2017
 
Release notes IDEA StatiCa steel v8 2
Release notes IDEA StatiCa steel v8 2Release notes IDEA StatiCa steel v8 2
Release notes IDEA StatiCa steel v8 2
 
IDEA StatiCa steel version 8.2
IDEA StatiCa steel version 8.2IDEA StatiCa steel version 8.2
IDEA StatiCa steel version 8.2
 
IDEA StatiCa steel connections
IDEA StatiCa steel connectionsIDEA StatiCa steel connections
IDEA StatiCa steel connections
 
IDEA StatiCa steel connections
IDEA StatiCa steel connectionsIDEA StatiCa steel connections
IDEA StatiCa steel connections
 
IDEA StatiCa Concrete details
IDEA StatiCa Concrete detailsIDEA StatiCa Concrete details
IDEA StatiCa Concrete details
 
IDEA StatiCa Concrete detail
IDEA StatiCa Concrete detail IDEA StatiCa Concrete detail
IDEA StatiCa Concrete detail
 
Dlubal RFEM BNL klanten
Dlubal RFEM BNL klantenDlubal RFEM BNL klanten
Dlubal RFEM BNL klanten
 
Thesis Dlubal RFEM EC3 Fire UHasselt 2017
Thesis Dlubal RFEM EC3 Fire UHasselt 2017Thesis Dlubal RFEM EC3 Fire UHasselt 2017
Thesis Dlubal RFEM EC3 Fire UHasselt 2017
 
Eindwerk IDEA Steel Connection KU Leuven 2017
Eindwerk IDEA Steel Connection KU Leuven 2017Eindwerk IDEA Steel Connection KU Leuven 2017
Eindwerk IDEA Steel Connection KU Leuven 2017
 
Concrete and prestressing made simple - IDEA StatiCa version 8
Concrete and prestressing made simple - IDEA StatiCa version 8Concrete and prestressing made simple - IDEA StatiCa version 8
Concrete and prestressing made simple - IDEA StatiCa version 8
 
Ifc certificate 2x3 Dlubal RSTAB & RFEM
Ifc certificate 2x3 Dlubal RSTAB & RFEMIfc certificate 2x3 Dlubal RSTAB & RFEM
Ifc certificate 2x3 Dlubal RSTAB & RFEM
 
Bim integration in Dlubal RFEM and RSTAB
Bim integration in Dlubal RFEM and RSTABBim integration in Dlubal RFEM and RSTAB
Bim integration in Dlubal RFEM and RSTAB
 
Customer projects Dlubal RFEM RSTAB
Customer projects Dlubal RFEM RSTAB Customer projects Dlubal RFEM RSTAB
Customer projects Dlubal RFEM RSTAB
 
IDEA Steel connection referenties België
IDEA Steel connection referenties BelgiëIDEA Steel connection referenties België
IDEA Steel connection referenties België
 

Recently uploaded

(ANVI) Koregaon Park Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...
(ANVI) Koregaon Park Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...(ANVI) Koregaon Park Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...
(ANVI) Koregaon Park Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...ranjana rawat
 
Call Girls Delhi {Jodhpur} 9711199012 high profile service
Call Girls Delhi {Jodhpur} 9711199012 high profile serviceCall Girls Delhi {Jodhpur} 9711199012 high profile service
Call Girls Delhi {Jodhpur} 9711199012 high profile servicerehmti665
 
Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...
Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...
Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...Dr.Costas Sachpazis
 
Current Transformer Drawing and GTP for MSETCL
Current Transformer Drawing and GTP for MSETCLCurrent Transformer Drawing and GTP for MSETCL
Current Transformer Drawing and GTP for MSETCLDeelipZope
 
Coefficient of Thermal Expansion and their Importance.pptx
Coefficient of Thermal Expansion and their Importance.pptxCoefficient of Thermal Expansion and their Importance.pptx
Coefficient of Thermal Expansion and their Importance.pptxAsutosh Ranjan
 
MANUFACTURING PROCESS-II UNIT-2 LATHE MACHINE
MANUFACTURING PROCESS-II UNIT-2 LATHE MACHINEMANUFACTURING PROCESS-II UNIT-2 LATHE MACHINE
MANUFACTURING PROCESS-II UNIT-2 LATHE MACHINESIVASHANKAR N
 
HARMONY IN THE NATURE AND EXISTENCE - Unit-IV
HARMONY IN THE NATURE AND EXISTENCE - Unit-IVHARMONY IN THE NATURE AND EXISTENCE - Unit-IV
HARMONY IN THE NATURE AND EXISTENCE - Unit-IVRajaP95
 
Microscopic Analysis of Ceramic Materials.pptx
Microscopic Analysis of Ceramic Materials.pptxMicroscopic Analysis of Ceramic Materials.pptx
Microscopic Analysis of Ceramic Materials.pptxpurnimasatapathy1234
 
ZXCTN 5804 / ZTE PTN / ZTE POTN / ZTE 5804 PTN / ZTE POTN 5804 ( 100/200 GE Z...
ZXCTN 5804 / ZTE PTN / ZTE POTN / ZTE 5804 PTN / ZTE POTN 5804 ( 100/200 GE Z...ZXCTN 5804 / ZTE PTN / ZTE POTN / ZTE 5804 PTN / ZTE POTN 5804 ( 100/200 GE Z...
ZXCTN 5804 / ZTE PTN / ZTE POTN / ZTE 5804 PTN / ZTE POTN 5804 ( 100/200 GE Z...ZTE
 
High Profile Call Girls Nagpur Isha Call 7001035870 Meet With Nagpur Escorts
High Profile Call Girls Nagpur Isha Call 7001035870 Meet With Nagpur EscortsHigh Profile Call Girls Nagpur Isha Call 7001035870 Meet With Nagpur Escorts
High Profile Call Girls Nagpur Isha Call 7001035870 Meet With Nagpur Escortsranjana rawat
 
Introduction to Multiple Access Protocol.pptx
Introduction to Multiple Access Protocol.pptxIntroduction to Multiple Access Protocol.pptx
Introduction to Multiple Access Protocol.pptxupamatechverse
 
VIP Call Girls Service Hitech City Hyderabad Call +91-8250192130
VIP Call Girls Service Hitech City Hyderabad Call +91-8250192130VIP Call Girls Service Hitech City Hyderabad Call +91-8250192130
VIP Call Girls Service Hitech City Hyderabad Call +91-8250192130Suhani Kapoor
 
High Profile Call Girls Nashik Megha 7001305949 Independent Escort Service Na...
High Profile Call Girls Nashik Megha 7001305949 Independent Escort Service Na...High Profile Call Girls Nashik Megha 7001305949 Independent Escort Service Na...
High Profile Call Girls Nashik Megha 7001305949 Independent Escort Service Na...Call Girls in Nagpur High Profile
 
IVE Industry Focused Event - Defence Sector 2024
IVE Industry Focused Event - Defence Sector 2024IVE Industry Focused Event - Defence Sector 2024
IVE Industry Focused Event - Defence Sector 2024Mark Billinghurst
 
Study on Air-Water & Water-Water Heat Exchange in a Finned Tube Exchanger
Study on Air-Water & Water-Water Heat Exchange in a Finned Tube ExchangerStudy on Air-Water & Water-Water Heat Exchange in a Finned Tube Exchanger
Study on Air-Water & Water-Water Heat Exchange in a Finned Tube ExchangerAnamika Sarkar
 
High Profile Call Girls Nagpur Meera Call 7001035870 Meet With Nagpur Escorts
High Profile Call Girls Nagpur Meera Call 7001035870 Meet With Nagpur EscortsHigh Profile Call Girls Nagpur Meera Call 7001035870 Meet With Nagpur Escorts
High Profile Call Girls Nagpur Meera Call 7001035870 Meet With Nagpur EscortsCall Girls in Nagpur High Profile
 
College Call Girls Nashik Nehal 7001305949 Independent Escort Service Nashik
College Call Girls Nashik Nehal 7001305949 Independent Escort Service NashikCollege Call Girls Nashik Nehal 7001305949 Independent Escort Service Nashik
College Call Girls Nashik Nehal 7001305949 Independent Escort Service NashikCall Girls in Nagpur High Profile
 
SPICE PARK APR2024 ( 6,793 SPICE Models )
SPICE PARK APR2024 ( 6,793 SPICE Models )SPICE PARK APR2024 ( 6,793 SPICE Models )
SPICE PARK APR2024 ( 6,793 SPICE Models )Tsuyoshi Horigome
 

Recently uploaded (20)

(ANVI) Koregaon Park Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...
(ANVI) Koregaon Park Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...(ANVI) Koregaon Park Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...
(ANVI) Koregaon Park Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...
 
Call Us -/9953056974- Call Girls In Vikaspuri-/- Delhi NCR
Call Us -/9953056974- Call Girls In Vikaspuri-/- Delhi NCRCall Us -/9953056974- Call Girls In Vikaspuri-/- Delhi NCR
Call Us -/9953056974- Call Girls In Vikaspuri-/- Delhi NCR
 
Call Girls Delhi {Jodhpur} 9711199012 high profile service
Call Girls Delhi {Jodhpur} 9711199012 high profile serviceCall Girls Delhi {Jodhpur} 9711199012 high profile service
Call Girls Delhi {Jodhpur} 9711199012 high profile service
 
Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...
Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...
Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...
 
Current Transformer Drawing and GTP for MSETCL
Current Transformer Drawing and GTP for MSETCLCurrent Transformer Drawing and GTP for MSETCL
Current Transformer Drawing and GTP for MSETCL
 
Coefficient of Thermal Expansion and their Importance.pptx
Coefficient of Thermal Expansion and their Importance.pptxCoefficient of Thermal Expansion and their Importance.pptx
Coefficient of Thermal Expansion and their Importance.pptx
 
MANUFACTURING PROCESS-II UNIT-2 LATHE MACHINE
MANUFACTURING PROCESS-II UNIT-2 LATHE MACHINEMANUFACTURING PROCESS-II UNIT-2 LATHE MACHINE
MANUFACTURING PROCESS-II UNIT-2 LATHE MACHINE
 
HARMONY IN THE NATURE AND EXISTENCE - Unit-IV
HARMONY IN THE NATURE AND EXISTENCE - Unit-IVHARMONY IN THE NATURE AND EXISTENCE - Unit-IV
HARMONY IN THE NATURE AND EXISTENCE - Unit-IV
 
Microscopic Analysis of Ceramic Materials.pptx
Microscopic Analysis of Ceramic Materials.pptxMicroscopic Analysis of Ceramic Materials.pptx
Microscopic Analysis of Ceramic Materials.pptx
 
ZXCTN 5804 / ZTE PTN / ZTE POTN / ZTE 5804 PTN / ZTE POTN 5804 ( 100/200 GE Z...
ZXCTN 5804 / ZTE PTN / ZTE POTN / ZTE 5804 PTN / ZTE POTN 5804 ( 100/200 GE Z...ZXCTN 5804 / ZTE PTN / ZTE POTN / ZTE 5804 PTN / ZTE POTN 5804 ( 100/200 GE Z...
ZXCTN 5804 / ZTE PTN / ZTE POTN / ZTE 5804 PTN / ZTE POTN 5804 ( 100/200 GE Z...
 
High Profile Call Girls Nagpur Isha Call 7001035870 Meet With Nagpur Escorts
High Profile Call Girls Nagpur Isha Call 7001035870 Meet With Nagpur EscortsHigh Profile Call Girls Nagpur Isha Call 7001035870 Meet With Nagpur Escorts
High Profile Call Girls Nagpur Isha Call 7001035870 Meet With Nagpur Escorts
 
Introduction to Multiple Access Protocol.pptx
Introduction to Multiple Access Protocol.pptxIntroduction to Multiple Access Protocol.pptx
Introduction to Multiple Access Protocol.pptx
 
VIP Call Girls Service Hitech City Hyderabad Call +91-8250192130
VIP Call Girls Service Hitech City Hyderabad Call +91-8250192130VIP Call Girls Service Hitech City Hyderabad Call +91-8250192130
VIP Call Girls Service Hitech City Hyderabad Call +91-8250192130
 
High Profile Call Girls Nashik Megha 7001305949 Independent Escort Service Na...
High Profile Call Girls Nashik Megha 7001305949 Independent Escort Service Na...High Profile Call Girls Nashik Megha 7001305949 Independent Escort Service Na...
High Profile Call Girls Nashik Megha 7001305949 Independent Escort Service Na...
 
IVE Industry Focused Event - Defence Sector 2024
IVE Industry Focused Event - Defence Sector 2024IVE Industry Focused Event - Defence Sector 2024
IVE Industry Focused Event - Defence Sector 2024
 
Study on Air-Water & Water-Water Heat Exchange in a Finned Tube Exchanger
Study on Air-Water & Water-Water Heat Exchange in a Finned Tube ExchangerStudy on Air-Water & Water-Water Heat Exchange in a Finned Tube Exchanger
Study on Air-Water & Water-Water Heat Exchange in a Finned Tube Exchanger
 
High Profile Call Girls Nagpur Meera Call 7001035870 Meet With Nagpur Escorts
High Profile Call Girls Nagpur Meera Call 7001035870 Meet With Nagpur EscortsHigh Profile Call Girls Nagpur Meera Call 7001035870 Meet With Nagpur Escorts
High Profile Call Girls Nagpur Meera Call 7001035870 Meet With Nagpur Escorts
 
College Call Girls Nashik Nehal 7001305949 Independent Escort Service Nashik
College Call Girls Nashik Nehal 7001305949 Independent Escort Service NashikCollege Call Girls Nashik Nehal 7001305949 Independent Escort Service Nashik
College Call Girls Nashik Nehal 7001305949 Independent Escort Service Nashik
 
SPICE PARK APR2024 ( 6,793 SPICE Models )
SPICE PARK APR2024 ( 6,793 SPICE Models )SPICE PARK APR2024 ( 6,793 SPICE Models )
SPICE PARK APR2024 ( 6,793 SPICE Models )
 
DJARUM4D - SLOT GACOR ONLINE | SLOT DEMO ONLINE
DJARUM4D - SLOT GACOR ONLINE | SLOT DEMO ONLINEDJARUM4D - SLOT GACOR ONLINE | SLOT DEMO ONLINE
DJARUM4D - SLOT GACOR ONLINE | SLOT DEMO ONLINE
 

Component Based Finite Element Method for Structural Connection Analysis

  • 1. Background of Component Based Finite Element Method František Wald, Marta Kurejková, Lukáš Gödrich, Martin Kočka Czech Technical University in Prague
  • 2. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Motivation • Summarise current design of structural connections • Focus to FEM features • Explain importance of Validation & Verification 2 Research model Design model
  • 3. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary List of contents • Connection design – Models – FE analyse • Validation & verification • Components modelling – Slender plates – Bolts • Connection behaviour – Open sections – Hollow sections • Summary 3
  • 4. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Description of behaviour for design by moment-rotation characteristic Connection exposed to bending • Rotational stiffness • Moment resistance • Rotation capacity 4 Design curve Joint resistance M j,Rd Deformation capacity j,Cd Initial stiffness Sj,ini Elastic 2/3 M j,Rd limit  Experimental curve Rotation, , mrad M, moment, kNm
  • 5. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Deformation/rotation capacity • For safety – Seismic design – Plastic global analyses • Ductile components – Plate in bending – Column web in shear • Brittle components – Bots, welds 5 0,0 M  j.Rd M  el  u Cd Cd
  • 6. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Rotation capacity Upper material properties o Question of the Actual yield strength 6  F Cd,2 Cd,1  F  Cd,2  Cd,1 Brittle Ductile Brittle Ductile
  • 7. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Joint design European standards • EN1993-1-8, Eurocode 3, Design of steel structures, Part 1-8, Design of joints, CEN, Brussels, 2006. • EN1994-1-1, Eurocode 4, Design of composite steel and concrete structures, Part 1-1, General rules and rules for buildings, CEN, 2010.
  • 8. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Design approaches for structural joints Models • Experimental • Curve fitting • Analytical – Component Method CM • Finite element analysis – Research – Design finite element analysis • Component based finite element method CBFEM 8
  • 9. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Curve fitting model • Based on – Physical experiments – Component method – databases – Surrogate models – numerical experiments – Optimization 9 M  Experiment Function h t l b a t M 5 5 3 3 1 1 )kM(C)kM(C)kM(C 
  • 10. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Surrogate models (Meta models) • Numerical experiments • Standardised mathematical procedure 10SUMO Delf University
  • 11. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Hollow section joints • Design by mixture of – Curve fitting – Analytical models • Failure modes – CHS, RHS – Open and hollow 11 Mode A: Plastic failure of the chord face
  • 12. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Hollow section joints • Failure modes 12 Mode C: Tension failure of the web member Mode D: Local buckling of the web member Mode B: Punching shear failure of the chord face Mode E: Overall shear failure of the chord
  • 13. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Hollow section joints • Failure modes 13 Mode F: Local buckling of the chord walls Mode G: Local buckling of the chord face
  • 14. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary CIDECT materials • Background CIDECT materials – ISO/FDIS 14346 – EN 1993-1-8 Chapter 7 • Uni-planar and multi-planar joints – Circular, square or rectangular hollow sections + • Uni-planar joints – Combinations of hollow sections with open sections • Detailed application rules to determine the static resistances of joints in lattice structures ISO/FDIS 14346: Static Design Procedure for Welded Hollow Section Joints – Recommendations, ISO, IIW XV-1439-13, 2012. 14
  • 15. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Geometrical types of basic joints 15 K joint KT joint N joint T joint X joint Y joint o Class 1 and 2 cross sections o Limits in geometry
  • 16. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Geometrical types of complex joints 16 DK joint KK joint X joint TT joint DY joint XX joint
  • 17. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Failure modes – chord, shear 17 Rectangular Circular Chords of I or H ------- Chordshear failure Punchingshear
  • 18. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Failure modes – brace 18 Rectangular Circular Chords of I or H BracefailureLocalbuckling
  • 19. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Component based aproach for holow section design • CIDEC project • 7 failure modes = 7 components • Defidend lever arm • The same equations x enginering frendly aproach • kfa factors transfered to beff effective widts 19
  • 20. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Component model Procedure Web panel in shear Connection Components in tension Column web in tension Column web in compression Components in compression Joint  Decomposition of joint  Component description  Joint assembly  Classification  Representation  Modelling in analyses
  • 21. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Component model Prediction accuracy • Good accuracy • M-N Interaction – Tests in Prague 21 10 20 Moment, 100 200 -200 -100 Normal force, kN SN 1500 SN 1000 0 0 Interaction Componentmethod kNm Test -10 0 5 10 15 20 25 30 0 0,01 0,02 0,03 0,04 Moment, kNm Rotation, rad TestSN 1500 Prediction by componentmethod Prediction ofresistance by interaction
  • 22. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Component Model Application  Design tables  Green book  Blue book  Computer programs  Simplified hand calculation 22
  • 23. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Component Model Design tools • Inputs • Outputs • Reports 23 www.fine.cz
  • 24. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Component Model Design tools • For limited cases 24 www.fine.cz
  • 25. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Component Model Design tools • For limited cases 25 www.fine.cz 2 000 1 500 1 000 500 0 - 500 - 1 000 50 100 150 200 Moment, kNm Normálová síla, kNNormal force, kN Bending moment, kNm
  • 26. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Component model Background references • Zoetemeijer P.: Summary of the research on bolted beam-to- column connections, TU-Delft report 26-6-90-2, 1990. • Zoetemeijer P.: Summary of the Research on Bolted Beam-to- Column Connections (period 1978 - 1983), Ref. No. 6-85-M, Steven Laboratory, Delft, 1983. • Zoetemeijer P.: Proposal for Standardisation of Extended End Plate Connection based on Test results - Test and Analysis, Ref. No. 6-83-23, Steven Laboratory, Delft, 1983. • Jaspart J.P., Design of structural joints in building frames, Prog. Struct. Engng Mater., 4, 2002, 18–34. • Wald F., Sokol Z., Steenhouis M. and Jaspart, J.P., Component Method for Steel Column Bases, Heron 53, 2008, 3-20. • Da Silva Simoes L., Towards a consistent design approach for steel joints under generalized loading, JCSR, 64, 2008, 059-1075. • Beg D., Zupančič E., Vayas I., On the rotation capacity of moment connections, JCSR, 60, 3–5, 2004, 601–620.
  • 27. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Finite Element models of joint • Research oriented • Design oriented 27 Research model Design model
  • 28. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Bolt FEM research models • 3D • Complex • Material – Plasticity criteria – Demage model 28 Wu, Z., Zhang, S. and Jiang, S.: Simulation of tensile bolts in finite element modeling of semi-rigid beam-to-column connections, International Journal of Steel Structures, 2012,12/3, 339-350.
  • 29. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Bolts FEM design models Razavia H., Abolmaalia A., Ghassemiehd M., Invisible elastic bolt model concept for finite element analysis of bolted connections, JCSR, 63, 2007, 47–657. 29 o Contact model - Matricks description
  • 30. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary FEM modelling of bolts Bolts o Fan model 30
  • 31. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Bearing FEM modelling • von-Mises yield criterion • Demage models 31 Može P., Beg D., A complete study of bearing stress in single bolt connections, Journal of Constructional Steel Research, 95, 2014, 126–140.
  • 32. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Connections FE research models 32 • N. Krishnamurthy (1978) – 3 models – 2D model
  • 33. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Connections FE research models 33 • Bahaari and Sherbourne (1996) – 6 tests, 3D finite element model using ANSYS – One of first component based finite element models
  • 34. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Connections FE research models 34 • Bursi and Jaspart (1998) – T-stub and Extended end-plate moment – LAGAMINE, a finite element research software – Bursi O. S., Jaspart J. P., Benchmarks for Finite Element Modelling of Bolted Steel Connections, Journal of Constructional Steel Research, 43 (1-3), 1997, 17-42. – Used for further validation in COST C1 action • Virdi K. S. et al, Numerical Simulation of Semi Rigid Connections by the Finite Element Method, Report of Working Group 6 Numerical, Simulation COST C1, Brussels Luxembourg, 1999.
  • 35. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Connections FE research models 35 • Bahaari and Sherbourne (1999) – 3D model – 4 tests
  • 36. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Connections FE research models 36 • N.K. Hassan (2004) • 2D finite element modeling
  • 37. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Connections FE research models 37 • Emmett A. Summer (2003) • 12 tests, cycling load • 3D finite element modelling • Models of finger shims
  • 38. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Connections FE research models 38 • Maggi, Ribeiro (2004) – 12 tests four bolts extended unstiffened end-plate moment connections tests – ANSYS 3D models
  • 39. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Connections FE research models 39 • Gang Shi, Yougjiu Shi, Yuanqing Wang, M.A.Bradford (2008) • 3D finite element modeling • 6 experiments
  • 40. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Validation and verification procedures • Well developed in FEM theory • To check the physical accuracy • To check the proper use • To check the asked design level 40
  • 41. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Definitions of Verification & Validation 41 Validation compares the numerical solution with the experimental data. Validation can be practically split into three tasks: • to detect and separate the model’s significant discrepancies, • to remove and reduce removable and unavoidable errors, • to evaluate uncertainties in the results. Verification uses comparison of computational solutions with highly accurate (analytical or numerical) Verification is supposed to deliver evidence that mathematical models are properly implemented and that the numerical solution is correct with respect to the mathematical model.
  • 42. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Definitions of Verification & Validation 42 ISO/FDIS 16730 Fire safety engineering - Assessment, verification and validation of calculation methods, Geneva, 2008.
  • 43. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary General Aspects of Modeling 43 Kwasniewski L. (2009) On practical problems with verification and validation of computational models, Archives of Civil Engineering, LV, 3, 323-346.
  • 44. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Spectacular example of a software bug 44 $120 million F-22 Raptor F-22 Squadron Shot Down by the International Date Line (2007) Maj. Gen. Don Sheppard (ret.): ”...At the international date line, whoops, all systems dumped and when I say all systems, I mean all systems, their navigation, part of their communications, their fuel systems. …… It was a computer glitch in the millions of lines of code, somebody made an error in a couple lines of the code and everything goes.” http://www.defenseindustrydaily.com
  • 45. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Famous warning Sinking offshore platform Sleipner A • Failure in a cell wall • Serious crack and leakage • Pumps were not able to cope with • Combination of a serious error in FEM • Insufficient anchorage of the reinforcement in a critical zone • Inaccurate finite element approximation • Linear elastic model of the tricell NASTRAN • Shear stresses underestimated by 47 % • Certain concrete walls not thick enough • Total economic loss of about $700 million http://www.ima.umn.edu/~arnold/disasters/sleipner.html 45
  • 46. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary What are the predictive capabilities of our computer simulations? 46 Computational Science and Engineering (CS&E) Computational Engineering and Physics (CE&P) Numerical weather prediction Modeling electronic systems e.g. Verilog Numerical models in economics POOR VERY GOOD
  • 47. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Computational Science and Engineering (CS&E) • Computer simulations Predictive Capabilities 47
  • 48. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Hierarchy validation and verification 48 Hierarchical verification and validation Testing verification & validation Material characterization, single element tests Component tests (slab strips, joints) Subsystem tests (composite floor) Entire structure (vibration tests) Compression Tension MAT 72R3 MAT 124 EC2 MAT 124 MAT 72R3
  • 49. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary System response quantity SRQ 49 • Validation is based on the comparison between computational results and experimental data • An experiment can provide much less information than the calculation • Selection of the system response quantity (SRQ) is limited by the experiment output
  • 50. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Validation domains 50 Application domain defines the intended boundaries for the predictive capability of the computational model Validation domain characterizes the representation capabilities of the experiment. W.L. Oberkampf, T.G. Trucano, C. Hirsch, Verification, validation, and predictive capability in computational engineering and physics, Appl. Mech. Rev. 57 (5), 345–384, 2004
  • 51. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Validation metrics 51 W.L. Oberkampf, T.G. Trucano, C. Hirsch, Verification, validation, and predictive capability in computational engineering and physics, Appl. Mech. Rev. 57 (5), 345–384, 2004.
  • 52. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Evaluation of Mechanical Structural Response • Local quantities – Stresses – Internal forces – Larger uncertainties especially • Global quantities – Deflection – Whole (or a large part) of structure – Boundary condition 52
  • 53. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Verification - Mesh density study 53 • Discretization error 𝐸 = 𝑓ℎ − 𝑓𝑒𝑥𝑎𝑐𝑡 = 𝐶ℎ 𝑝 + 𝐻. 𝑂. 𝑇. ....... • Order of convergence 𝑝 = 𝑙𝑛 𝑓3−𝑓2 𝑓2−𝑓1 𝑙 𝑛 𝑟 • Estimate of the asymptotic solution 𝑓ℎ = 0 ≅ 𝑓1 + 𝑓1 − 𝑓2 𝑟2 − 1 • E1 is the estimator of the relative error 𝐸1 = 𝜀 𝑟 𝑝−1 , 𝜀 = 𝑓1−𝑓2 𝑓1 • Grid Convergence Index – GCI procedure (Richardson extrapolation) 𝐺𝐶𝐼 = 𝐹𝑠 𝜀 𝑟 𝑝 − 1 100% Roache P.J., Verification and validation in computational science and engineering, Computing in Science Engineering, Hermosa pub., 1988, 8-9.
  • 54. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Verification and Validation of Computer Simulations 54 FE model well replicates the experiment
  • 55. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Verification and Validation of Computer Simulations 55 Effect of calibration
  • 56. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Databases of benchmark problems • National Agency for Finite Element Methods and Standards (NAFEMS) www.nafems.org • ~ 280 verification benchmarks • ABAQUS Benchmarks Manual • 264 (93-NAFEMS, 15-thermal analysis) Verification Manual, Example Problems Manual • ANSYS® - around 250 problems • Fire engineering • Standardised ISO/FDIS 16730 Fire safety engineering — Assessment, verification and validation of calculation methods, Geneva, 2008. • DIN EN 1991-1-2 56
  • 57. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Validation of research model of T stub o Modern history – 1997 • Bursi O. S., Jaspart J. P., Benchmarks for Finite Element Modelling of Bolted Steel Connections, Journal of Constructional Steel Research, 43 (1-3), 1997, 17-42. – 1999 • Virdi K. S. et al, Numerical Simulation of Semi Rigid Connections by the Finite Element Method, Report of Working Group 6 Numerical, Simulation COST C1, Brussels Luxembourg, 1999. 57
  • 58. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Hierarchy of benchmark studies for structural steel joints • Welded joints – In shear – In bending – Long joint – Flexible plate • Bolted connections – T-stub in tension – Splices in shear – Generally loaded end plate • Slender plate in compression – Triangular haunch – Stiffener of column web – Plate in compression between bolts • Hollow section joints – CHS, RHS members – Hollow and open sections • Column bases – T stub in compression and in tension – Generally loaded base plate 58
  • 59. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Verification and Benchmark cases Chapters 1. Description 2. Component method 3. CBFEM 4. Force-deformation curve 5. Global behaviour 6. Verification of resistance 7. Global verification Initial stiffness, Resistance, Deformation capacity 8. Benchmark case 59
  • 60. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Component based FEM • Joint analyses by FEM – Design material model • Component behaviour – Connectors • Bolts – In tension – In shear • Welds • Anchor bolts – Slender plates – Concrete block 60
  • 61. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Material for FE design model • Bilinear ideal elastic-plastic model 61Može P., Beg D., A complete study of bearing stress in single bolt connections, JCSR, 95 (2014) 126–140 True stress-strain Experimental Design 5%
  • 62. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary 62 3D – bricks 2D elements - shells Plate modelling o Shells for design o 8 degree of freedom elements o 4 notes (degrades to 3) o Allowing plastification, membrane effects, bifurcation
  • 63. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Design model Slender plate in compression 63 • Column web • Stiffeners
  • 64. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary FE research model on T triangular stiffener • Von-Mises stress distribution for beam-to-column joint In frame at a separate element 64
  • 65. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Research FEM • Shell elements, true-stress true strain material model, mesh sensitivity • Geometrical and material nonlinear model with imperfections (GMNIA) • Imperfections based on 1st buckling mode • Experiments – literature, own • Code RFEM 65
  • 66. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Experimental research • Material tests • Flanges – 3x free edge, 3x partial stiffener, 3x fully stiffening • Variation of – Stiffener thickness t – Haunch geometry h and w – Flange thickness tf and width bf 66
  • 67. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Supports and loading • Hinges and compression • Strain gauges LY11-6/120 a XY11-6/120 • Deflectometers • Loading by steps till collapse 67
  • 68. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Stiffener with free edge h = 400 mm, w = 200 mm, t = 6 mm 68
  • 69. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Stiffener with free edge h = w = 400 mm, t = 4 mm and t = 6 mm 69
  • 70. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Stiffener with partial stiffened edge h = w = 400 mm, t = 6 mm, tf = 6 mm, bf = 60 mm 70
  • 71. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Stiffener with partial stiffened edge h = w = 400 mm, t = 6 mm, tf = 12 mm, bf = 120 mm 71
  • 72. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Stiffener with partial stiffened edge h = w = 400 mm, t = 4 mm, tf = 12 mm, bf = 120 mm 72
  • 73. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Validation of research FEM • Validation on force-deformation curve F-δ for resistance • Vertical deformation at centre • Vertical deformation at max. amplitude 73
  • 74. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Validation of research model Free edge 74 Deformation σ von Mises
  • 75. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Validation of research model Partial stiffened edge 75 σ von Mises Deformation
  • 76. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Validation of FE research model on T triangular stiffener tests • Validation of reserch FEM model for resistance 76 0 200 400 600 800 1000 1200 1400 0 200 400 600 800 1000 1200 1400 EXPERIMENT[KN] FEM [KN]
  • 77. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Design model of slender plate in compression • Buckling analysis 77
  • 78. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Design model Slender plate in compression To eliminate slender plates in joints Reduced stress method • According to EN 1993-1-5 Annex B • Critical buckling factor - Linear buckling analyses αcr • Load amplifier - Material nonlinear analyses αult,k • Plate slenderness • Plate buckling reduction factor ρ • Evaluation 78 λ 𝑝 = 𝛼 𝑢𝑙𝑡,𝑘 𝛼 𝑐𝑟 𝜌∙𝛼 𝑢𝑙𝑡,𝑘 𝛾 𝑀1 ≥ 1
  • 79. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Design model Slender plate in compression 79 Fyield FCBFEM Fcr Fult,k 0 20 40 60 80 100 120 140 160 180 200 0 2 4 6 8 10 Load[kN] Deflection [mm] Load-deflection σMISES = fy F = 57,6 kN z = 0,7 mm ε = 0,25% σMISES
  • 80. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Design model Slender plate in compression 80 Fyield FCBFEM Fcr Fult,k 0 20 40 60 80 100 120 140 160 180 200 0 2 4 6 8 10 Load[kN] Deflection [mm] Load-deflection F = 105,8 kN z = 1,6 mm ε = 0,7% αcr = 1,123 αult,k = 1,659 ρ = 0,603 1,001 > 1 OK σMISES FEXP = 109,7 kN
  • 81. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Design model Slender plate in compression 81 Fyield FCBFEM Fcr Fult,k 0 20 40 60 80 100 120 140 160 180 200 0 2 4 6 8 10 Load[kN] Deflection [mm] Load-deflection F = 118,8 kN z = 2,1 mm ε = 1% αcr = 1,0 σMISES
  • 82. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Design model Slender plate in compression 82 Fyield FCBFEM Fcr Fult,k 0 20 40 60 80 100 120 140 160 180 200 0 2 4 6 8 10 Load[kN] Deflection [mm] Load-deflection F = 175,6 kN z = 8,4 mm ε = 5% σMISES
  • 83. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Design model of bolted connections • In shear • In tension • Nonpreloaded – Are preloaded • Preloaded bolts – Controlled slip 83
  • 84. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Design model of bolt o Bars and springs o In tension – stiffness, resistence, deformation capacity o In shear – stiffness, resistence, deformation capacity 84 Fan model
  • 85. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Design model of bolt in tension o Force-displacement diagram 85
  • 86. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary 86 Bolted connection Deformation stiffness of bolt in tension o References from literature o Experimental research
  • 87. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary 87 No. Diameter Material Bolt length ls Grip length lt Nut height ln Washer height lw Head height Lh [mm] [mm] [mm] [mm] [mm] 1 M20 8.8 81.5 42.2 15 0 12.6 2 M16 10.9 109 35.4 17 2 x4 10.1 3 M16 10.9 108.2 4 17 2x4.1 10.2 4 M16 10.9 108.2 10.5 12.7 2x4.1 10.2 5 M20 8.8 57.7 32.9 15.1 0 12.6 6 M20 8.8 0 99.3 15.6 3.1+3.2 12.6 7 M20 8.8 57.3 34.4 15.5 0 12.5 8 M20 8.8 57.7 32.1 15.2 2x3 12.5 9 M20 8.8 57.7 31.7 15.3 0 12.5 10 M20 8.8 83.4 19.4 30.4 2x2.9 12.7 11 M20 8.8 0 83.5 31 0 12.5 12 M16 10.9 107.7 18.6 17.1 0 10.2 13 M16 10.9 108.1 25.4 12.7 2x4.1 10 List of own experiments o Two failure modes o Rupture of thread o Tearing down of nut
  • 88. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Behaviour based on bolt failure 88
  • 89. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Validation for rupture of thread 89 Deformation, mm Force,kN Experiment Research FEM
  • 90. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Validation for tearing down of nut 90 Deformation, mm Force,kN Experiment Research FEM
  • 91. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Parametric study of the bolt tensile stiffness 91 200 300 400 500 600 700 800 900 1000 1100 1200 1300 1400 -5 5 15 25 35 45 55 65 75 85 95 105 115 125 StiffnessK[kN/mm] Shank length [mm] according to EC accodring to Agerskov according to VDI2230 Developed RFEM according to Barron et al.
  • 92. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Verification of design model of bolt in tension Thread length 17,6 mm Thread length 28,2 mm Bolts M24 grade 8.8 92
  • 93. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Modelling of T stub behaviour • Research model – Validation • Design model – Verification 93
  • 94. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Bolts research model • Unequal stresses distribution in the threaded part of the bolt 94
  • 95. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary T stub behaviour Research FE model • Mesh sensitivity 95
  • 96. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary T stub behaviour Research FE model • Bending of bolt • MIDAS FEM 96
  • 97. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Experiment with T stub 97 HEB300 HEB400
  • 98. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Experiment with T stub 98 HEB300
  • 99. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Validation – global deformation 99 0 50 100 150 200 250 300 350 400 0.0 2.0 4.0 6.0 8.0 10.0 Force[kN] Deformation [mm] Experiment Solid elements bolts HEB300
  • 100. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary 100 0 50 100 150 200 250 300 350 0 1000 2000 3000 4000 5000 6000 7000 8000 Force[kN] Deformation [mm/m] Experiment-tenzometr11 Numerický model Plate deformation in yield line Validation – local deformation Experiment, strain gauge 11 Research FEM
  • 101. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary 0 50 100 150 200 250 300 350 0 1000 2000 3000 4000 5000 6000 7000 8000 Force[kN] Deformation [mm/m] Experiment - tenzometr 9 Numerický model 101 Validation – local deformation Plate deformation in yield line Experiment, strain gauge 9 Research FEM
  • 102. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Experiment with T stub 102 HEB400
  • 103. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary 103 HEB 400 Validation – global deformation 0 50 100 150 200 250 300 350 400 0.0 1.0 2.0 3.0 4.0 5.0 6.0 Force[kN] Deformation [mm] Experiment-snímač 2 Numerický model Deformation, mm Force,kN Experiment, stain gauge 1 Research FEM
  • 104. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary T stub design model Verification 104 )( )( ,1, nmemn Men     w Rdpl,1,w 2 28 RdtF nm 2 ,2,    Rdt,Rdpl,2,2 nF F Rdt M Rdt,FF Rdt 2,3,  CBFEM: Yielding of flange Bolt resistance
  • 105. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary 105 T stub design model Verification Flange thickness tf Component method CBFEM 3D FEM Resistance Failure Resistance Failure Resistance Failure [kN] [kN] [kN] 10 44 1 75 1 115 1 12 63 1 90 1 144 1 15 98 1 115 1 199.7 1 20 174 1 175 1 268.8 2 25 279 2 249 1 310.3 2 30 305 2 288 2 328.7 2 35 335 2 320 2 347.3 2 40 371 2 358 2 370.7 2 45 407 3 385 2 400 2 50 407 3 412 3 407 3
  • 106. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary 106 T stub design model Verification 0 50 100 150 200 250 300 350 400 450 tf10 tf12 tf15 tf20 tf25 tf30 tf35 tf40 tf45 tf50 Resistance[kN] Flange thickness [mm] Metoda komponent CBFEM Validovaný vědecký 3D-FEM Component method CBFEM Research FEM
  • 107. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary 107 T stub design model Verification 0 50 100 150 200 250 300 350 400 450 500 0 50 100 150 200 250 300 350 400 450 500 ResistanceCBFEM[kN] Resistance - Component method [kN] Parametr-tloušťka pásnice Parametr-velikost šroubu Parametr-materiál šroubu Parametr-vzdálenost šroubů Parametr-šířka T-průřezu Variation of Plate thickness Bolt size Bolt materiál Bolt distance T stub thickness
  • 108. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Connection behaviour bolted connections of open section • Generally – Shear – Tension – Compression • Research model – Validation • Design model – Verification 108
  • 109. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Verification bolts in tension and in shear End plate connection Steel S355 Plate 12 mm Bolts M16 4.8 109 Beam splices joint
  • 110. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Verification bolts in tension and in shear Moment - rotational diagram predicted by CBFEM and CM 110 0 10 20 30 40 50 60 0.0 1.0 2.0 3.0 4.0 5.0 Moment[kNm] Rotation [mrad] CBFEM
  • 111. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Global behaviour bolts in tension and in shear 111 Elastic stresses
  • 112. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Global behaviour bolts in tension and in shear 112 Plastification round the lower bolts
  • 113. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Global behaviour bolts in tension and in shear 113 Plastification round the upper bolts
  • 114. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Global behaviour bolts in tension and in shear 114 Plastification round the flanges
  • 115. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Global behaviour bolts in tension and in shear 115 Plastification in the web of HEA
  • 116. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Global behaviour bolts in tension and in shear 116 Plastification in the web of HEA
  • 117. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Global behaviour bolts in tension and in shear Plastification in the web of HEA
  • 118. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Global behaviour bolts in tension and in shear 118 Plastification in the web of HEA
  • 119. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Global behaviour bolts in tension and in shear 119 Full plastification in the web of HEA
  • 120. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Verification bolts in tension End plate thickness 120
  • 121. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Verification bolts in tension Geometrical and material parameter 121
  • 122. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Verification bolts in shear 122 M16 M20 M24 M27 0 50 100 150 200 250 300 350 400 450 500 DesignshearresisatnceVz[kN] Bolt size Component method CBFEM 4.8 5.8 6.8 8.8 10.9 0 50 100 150 200 250 300 350 400 DesignshearresisatnceVz[kN] Bolt material Component method CBFEM
  • 123. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Verification bolts in shear 123 0 50 100 150 200 250 300 350 400 450 500 0 100 200 300 400 500 CBFEM-DesignshearresistanceVz[kN] CM - Design shear resistance Vz [kN] Parameter - End-plate thickness Parameter - Bolt size Parameter - Bolt material CBFEM=CM CBFEM=1,05 CM
  • 124. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Verification deformation capacity Component method by Beg D., Zupančič E., Vayas I., On the rotation capacity of moment connections, Journal of Constructional Steel Research, 60, 3–5, 2004, 601–620. 124 0 10 20 30 40 50 60 0.0 2.0 4.0 6.0 8.0 10.0 Moment[kNm] Rotation [mrad] CBFEM Component method εCd = 10 % εCd = 5 %
  • 125. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Prediction of Deformation capacity 125 o Material o For resistence εCd = 5 % o For deformation capacity εCd = 15 % o Actual yield strength EN 1998-1-8 cl. 6.2 Overstrenght factor gov = 1,25 fy,max ≤ 1,1 gov fy
  • 126. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Generaly loaded connections Experiments – beam splices 126
  • 127. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Verification to component model Welded portal frame eaves moment connection 127 Beam IPE330 to column HEB260 connection
  • 128. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Verification to component model Welded portal frame eaves moment connection 128 Parameter Component method CBFEM-Idea RS Resistance [kN/kNm] Critical component Resistance [kN/kNm] Critical component IPE140 24 Beam flange in compression 27 Beam flange in compression IPE160 33 Beam flange in compression 34 Beam flange in compression IPE180 44 Beam flange in compression 48 Beam flange in compression IPE200 59 Beam flange in compression 67 Beam flange in compression IPE220 77 Beam flange in compression 80 Beam flange in compression IPE240 98 Beam flange in compression 103 Beam flange in compression IPE270 113 Beam flange in compression 125 Beam flange in compression IPE300 142 Web panel in shear 142 Beam flange in compression IPE330 155 Web panel in shear 154 Beam flange in compression IPE360 168 Web panel in shear 167 Web panel in shear IPE400 186 Web panel in shear 183 Web panel in shear IPE450 209 Web panel in shear 202 Web panel in shear IPE500 231 Web panel in shear 223 Web panel in shear
  • 129. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Verification to component model Welded portal frame eaves moment connection 129 0 50 100 150 200 250 120 140 160 180 200 220 240 260 280 300 320 340 360 380 400 420 440 460 480 500 520 DesignresistanceMy/Vz[kNm/kN] Size of IPE profile of the beam CM-beam flange in compression CM-web panel in shear CBFEM-beam flange in compression CBFEM-web panel in shear
  • 130. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Verification to component model Welded portal frame eaves moment connection 130 0 50 100 150 200 250 300 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 DesignresistanceMy/Vz[kNm/kN] Thickness of the column web CM-beam flange in compression CM-web panel in shear CBFEM-beam flange in compression CBFEM-web panel in shear o Thickness of the column web
  • 131. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Verification to component model Welded portal frame eaves moment connection 131 0 50 100 150 200 250 300 0 50 100 150 200 250 300 CBFEM-Designresistance-My/Vz[kNm/kN] CM-Design resistance - My/Vz [kNm/kN] Parameter-Size of the beam Parameter-Size of the column HEA Parameter-Size of the column HEB Parameter-Thickness of the column web CBFEM=CM CBFEM=1,05 CM CBFEM=0,95 CM
  • 132. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Joint between open and hollow section • Verification – Welds – FEM meshing • Benchmark case – HEA 240 and hollow section RHS 180x100x10 – Loaded by bending moment and shear force 132
  • 133. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Welds for FEM design model • Model of weld – ┴ ; ║ - stiffness, resistence, deformation capacity – ┴ - stiffness, resistence, deformation capacity – ║ - neglected 133
  • 134. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Joint between open and hollow section Elastic stage 134
  • 135. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Joint between open and hollow section Plastification of the hollow section RHS upper flange 135
  • 136. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Joint between open and hollow section Initial plastification in the open section web 136
  • 137. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Joint between open and hollow section Initial plastification in the open section flange 137
  • 138. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Joint between open and hollow section Full plastification through the open section web 138
  • 139. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Joint between open and hollow section Initial plastification in the hollow section RHS web 139
  • 140. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Joint between open and hollow section Plastification of second flange of open section HEA 140
  • 141. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Joint between open and hollow section The open section web reaches design strain 5% 141
  • 142. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Joint between open and hollow section Verification of resistence CBFEM to CIDEC model 142 Variation of IPE chord HEB chord HEA chord CBFEM / CIDEC 0,95 CBFEM / CIDEC 1,05 CBFEM / CIDEC Resistance, CBFEM , kN Resistance,CIDECanalyticalmodel,kN
  • 143. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Summary • Results shows the good accuracy of CBFEM verified to CM • For higher stiffness / resistance / deformation capacity CBFEM compare to CM verification by research FEM validated to experiments 143
  • 144. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Summary 144 „Verification deals with mathematics; validation deals with physics’’ Roache P.J. (1998) Verification and validation in computational science and engineering, Hermosa Publishers Albuquerque, NM.
  • 145. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Summary o CM in tables and tools limits poor design by incompetent amateurs o CBFEM allows properly analysed/checked − Complex design solutions − Complicatedly loaded joints − By well-trained experts 145
  • 146. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Summary o Benchmark cases and correct use of V&V limits the improper use of model o The high-quality education the background of design of pretty structural connections 146
  • 147. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Hierarchy of benchmark studies for structural steel joints • Welded joints – In shear – In bending – Long joint – Flexible plate • Bolted connections – T-stub in tension – Splices in shear – Generally loaded end plate • Slender plate in compression – Triangular haunch – Stiffener of column web – Plate in compression between bolts • Hollow section joints – CHS, RHS members – Hollow and open sections • Column bases – T stub in compression and in tension – Generally loaded base plate 147
  • 148. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary What are the predictive capabilities of our computer simulations? „Essentially, all models are wrong, but some are useful’’ Box G.E.P., Draper N.R. (1987) Empirical model-building and response surfaces, John Wiley & Sons., pp. 669. 148
  • 149. Introduction Connection design Models Hollow sections Component method FE analyse Validation and verification Component based FEM Slender plates Bolted joints Connection behaviour Open sections Hollow sections Summary Background references Component based FEM • Wald, F., Gödrich, L., Šabatka L., Kabeláč, J., Navrátil, J., Component Based Finite Element Model of Structural Connections. In Steel, Space and Composite Structures. Singapore, 2014, 337-344, ISBN 978-981-09-0077-9. • Gödrich L., Wald F., Sokol Z., Advanced Modelling of End Plate. In Eurosteel 2014. Brussels, ECCS, 2014, 287-288, ISBN 978-92-9147-121-8. • Gödrich L., Kurejková M., Wald F., Sokol, Z., The Bolts and Compressed Plates Modelling. In Steel, Space and Composite Structures, Singapore, 2014, 215-224, ISBN 978- 981-09-0077-9. • Wald F., Šabatka L., Kabeláč J., Kolaja D., Pospíšil M., Structural Analysis and Design of Steel Connections using Component Based Finite Element Model (CBFEM), Journal of Civil Engineering and Architecture, 10/2015.
  • 150. Thank you for your attention František Wald Czech Technical University in Prague URL: www.ocel-drevo.fsv.cvut.cz