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Explore the transition from analytical code-based formulas to digital methods for steel structural joints, examining the concept of limit analysis and the use of interior point algorithms and cloud computing. Discover preliminary examples and consider the future of structural analysis methods.
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Software craftsmanship in the built environnement Towards a fully digital modelling of steel structural joints at ULS Luciano TosiniSTRAINS, Paris, France
Structural joints design at ULS • Analytical code based formula when possible • Loss of the “physical” sense • Loss of the digital workflow • Finite element model, with non linear behaviour • Time consuming • Computation problems
Something old: limit analysis Hypotheses: • All materials have reached their limit (cf. criterion) • All materials allow ductility Codes use the concepts of limit analysis: • Definition of yield lines • Failure mechanisms
Something new: digital methods • Interior point algorithms to solve optimisation problems • Cloud Computing • 3D Modelling in a web browser
Preliminary examples fixed M Plates S235 IPE200, S275 IPE200, S275 tp=8mm tp=15mm
Preliminary examples (tp=15mm) fy Staticapproach fy ULS Plastic resisting moment: Lowerbound : Mpl = 64,40 kN.m Upperbound : Mpl = 64,62 kN.m Kinematicapproach: ruinmechanism and plastic zones
Preliminary examples (tp=8mm) Staticapproach ULS Plastic resisting moment: Lowerbound : Mpl = 40,64 kN.m Upperbound : Mpl = 48,84 kN.m Kinematicapproach: ruinmechanism and plastic zones Plastic « hinges »
Footbridges examples: an arch base ELU 3D Load ULS Capacity ULS Load Final mesh (2) Init mesh (0)
Footbridges examples: an arch base Staticapproach Kinematicapproach 3D stress state Yield lines
Footbridges examples: welded I on CHS ULS Capacity ULS Load Final mesh (2) Init mesh (0)
Footbridges examples: welded I on CHS Staticapproach (VM in Mpa) Kinematicapproach
Footbridges examples: support of a box girder ULS Capacity ULS Load Final mesh (1) Init mesh (0)
Footbridges examples: support of a box girder Staticapproach (VM in Mpa) Kinematicapproach
Conclusion/Cultivate debate… • Next brick? • Reinforced concrete… • How this method compatible with codes? • Why do we need new methods for structural analysis?