# Numerical modelling of shear connection between concrete slab and sheeting deck

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1 7th fib International PhD Symposium in Civil Engineering 2008 September 10-13, Universität Stuttgart, Germany Numerical modelling of shear connection between concrete slab and sheeting deck Noémi Seres Budapest University of Technology and Economics Department of Structural Engineering Budapest, Hungary

2 Structural arrangement Introduction Steel beam Profile deck Reinforced concrete slab Frictional interlock Mechanical interlock rolled embossments Failure modes (I) flexural failure (II) longitudinal shear failure (III) vertical shear failure

3 Introduction Performance tests a) b) Scopes (a) Full scale test Eurocode 4 (b) Small scale test (i) simplify the experiments (ii) develop an advanced numerical model for the simulation

4 Experimental program Short beam specimens Geometry: 150x150x700 Type: Concrete beam Reinforced concrete beam Composite beam half wave of an open through profile with and without rolled embossments ~3mm of rim

5 Experimental program Short beam specimens Loading four point bending Measured values mid-span deflection on all beams end-slip mid-span strains on composite beams Verification background for further numerical models

6 Numerical modelling Finite element model development 1 st concete material model 2 nd composite connection model ANSYS 3 rd composite beam model

7 Reinforced concrete modelling Reinforced concrete beam model test #1 Based on published experiment 150x250x2800mm Modelling parameters Concrete: Solid65 solid element 4 required input data 2 kind of failure surface Reinforcement: Link8 spar element if discrete Material property of Solid65 if smeared Quarter beam model:

8 Reinforced concrete modelling Reinforced concrete beam model test #1 Input data 1/a 1/b 1/c 1/d 1/e 1/f Concrete compressive strength Concrete tensile strength Shear transfer coefficient for open crack Shear transfer coefficient for closed crack Failure surface 2D 2D 3D 2D 2D 2D Reinforcement (d = discrete, s = smeared) d d d s d d Loading four point bending Small loadsteps velocity of crack propagation to be low numerical stability

9 Reinforced concrete modelling Reinforced concrete beam model test #1 III. stress state: Yielding of steel II. stress state: Cross section with crack Tensile cracks appear: I. stress state: Cross section without crack

10 Reinforced concrete modelling Reinforced concrete beam model test #1 The numerical model show good accordance with published research Type of failure surface No significant effect Type of reinforcement Numerical stability by small loadsteps (slow crack propagation) control step Reinforced concrete beam model test #2 New RC beam model by RC short beam experiment Progressive model calibration

11 Reinforced concrete modelling Reinforced concrete beam model test #2 1) Full reinforcement, non crushing concrete, shear transfer coefficient=1 2) Without stirrups, non crushing concrete, shear transfer coefficient = 1 3) Only tensioned reinforcement, non crushing concrete, shear transfer coefficient = 1 4) Only tensioned reinforcement, non crushing concrete, shear transfer coefficient = 0.3 5) Experimental results 6) Only tensioned reinforcement, crushing concrete, shear transfer coefficient = 0.3 Crack patterns for first crack and final state

12 Local models of rolled embossments Fictive local model Composite short beam experimental observations Major factors in failure (1) chemical bond, (2) mechanical bond - effect of rolled embossments (3) pull-out of the steel rim. General factors MODELLING Short beam s specific factors

13 Local models of rolled embossments Local model construction Rectangular dishing type: Simplified geometry Material Concrete Steel Frictional interlock FE in ANSYS Solid65 Shell181 Conta173-Targe170

14 Local models of rolled embossments Results of the local model First crack Second crack Final state: cracks and deformed sheet

15 Local models of rolled embossments Results of the local model Runtime ~5 hours Significant increase in runtime when increasing the model size Efficient composite beam model Embossments spring Spring constant local model analysis

16 Local models of rolled embossments Parametric study by local models Parameters: Embossment s depth Embossment s length Sheeting thickness depth length Expected results by experimental observations [1]: Deeper embossment higher shear stress value (most significant) Longest length higher shear resistance (limit!) Sheeting thickness significant effect on stiffness sheeting thickness [1] P. Mäkeläinen, Y. Sun: The longitudinal shear behaviour of a new steel sheeting profile for composite floor slabs, Journal of Constructional Steel Research, 49, , 1999

17 Parametric study by local models Depth analysis Curve s character remained the same Increase in the load when increasing the depth at the end of linear phase Significant difference in ultimate loads tendency not obvious depth Depth [mm] Load at the end of the linear phase [kn] Ultimate load [kn]

18 Parametric study by local models Length analysis length Increase in load when increasing the length The difference between the ultimate loads in 10% range The change of length has not significant influence Length [mm] Load at the end of the linear phase [kn] Ultimate load [kn]

19 Parametric study by local models Effect of sheeting thickness Increase in stiffness when increasing the sheeting thickness sheeting thickness

20 Concluding remarks Novel alternative of experimental analysis (short beam) for composite connection. Tendency of the failure modes became traceable numerical analysis Adequate concrete and reinforced concrete model Numerical local model for fictive rolled embossments Basic behaviour modes Parametric study published experiments Contradiction in the results of the depth and length analysis Chosen experiment traditional push-out tests Necessity of new laboratory experiments to prove the results Pilot experimental investigation for local model calibration

21 Pilot experimental program Special pull-out test 20x20x20 RC cube Embedded steel plate with one enlarged embossment

22 Thank you

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