Tesi angela saviotti

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Tesi angela saviotti

  1. 1. a. a. 2011-2012 Faculty of Civil and Industrial Engineering Department of Structural and Geotechnical Engineering “FINITE ELEMENT ANALYSIS OF INNOVATIVE SOLUTIONS OF PRECAST CONCRETE BEAM-COLUMN DUCTILE CONNECTIONS”Advisor: Candidate:Prof. Ing. Franco Bontempi Angela SaviottiCo-advisor:Ing. Pierluigi Olmati
  2. 2. “Finite element analysis of innovative solutions of precast concrete beam-columnductile connections”Treated models2D MODEL:-Model “A” with mortar stratum for beam-column connection;-Model “B” without mortar stratum for beam-column connection. 2D “A” 2D “B”•3D MODEL:-Model “A” with mortar stratum for beam-column connection;-Model “B” without mortar stratum for beam-column connection. 3D “A” 3D “B” Faculty of Civil and Industrial Engineering Department of Structural and Geotechnical Engineering 2/25
  3. 3. “Finite element analysis of innovative solutions of precast concrete beam-columnductile connections”•FEM analytical program: DIANA V. 9.3•Geometry and Mesh of the structure, to assign boundaryconditions and loads: Midas FX+ for DIANA•Non-linear mechanisms :-Cracking of the concrete-Yielding of the steel. CONCRETE – Total Strain Crack Model STEEL – Von Mises Tensile Behavior Compressive Behavior Faculty of Civil and Industrial Engineering Department of Structural and Geotechnical Engineering 3/25
  4. 4. Angela Saviotti - Finite element analysis of innovative solutions of precast concrete beam-column ductile connectionsSTRUCTURE Column H=4700 mm Beam L=3770 mm Faculty of Civil and Industrial Engineering Department of Structural and Geotechnical Engineering 4/25
  5. 5. Angela Saviotti - Finite element analysis of innovative solutions of precast concrete beam-column ductile connectionsBOUNDARY CONDITIONS AND LOADS 2D Beam-Column FIRST LOAD CONDITION joint failure after SEISMIC SITUATION earthquake - http://strutturisti. wordpress.com/ SECOND LOAD CONDITION ACCIDENTAL SITUATION The Bombing of the Federal Building in Oklahoma City - http://911research.wtc7.net/ind ex.html Faculty of Civil and Industrial Engineering Department of Structural and Geotechnical Engineering 5/25
  6. 6. Angela Saviotti - Finite element analysis of innovative solutions of precast concrete beam-column ductile connectionsMODEL “A” MODEL “B” Faculty of Civil and Industrial Engineering Department of Structural and Geotechnical Engineering 6/25
  7. 7. Angela Saviotti - Finite element analysis of innovative solutions of precast concrete beam-column ductile connections MODEL 2D MESH Steel Plates Beam and Column:Concrete, Mortar, Rubber and Steel Plates Concrete C40/50 MODEL “A” Rubber pad Connection Stratum: Mortar MODEL “B” Four-node quadrilateral plane stress elements (Q8MEM)Reinforcing Steel Zoom of Beam-Column joint Two-node straight truss elements (L2 TRU) Three-node triangle plane stress elements (T6MEM) Faculty of Civil and Industrial Engineering Department of Structural and Geotechnical Engineering 7/25
  8. 8. Angela Saviotti - Finite element analysis of innovative solutions of precast concrete beam-column ductile connections FIRST LOAD CONDITION : Applied Horizontal Force at the top of the column 2D NON LINEAR ANALYSIS STEEL CONCRETE Compressive Behavior Tensile Behavior Tension Softening Linear Elasticity Ideal Plasticity Linear Elasticity Ideal Linear Elasticity curve based on fracture energyA1 X X XB1 X X XA2.1 X X XB2.1 X X XA3.1 X X XB3.1 X X XA4.4 X X XB4.4 X X X Faculty of Civil and Industrial Engineering Department of Structural and Geotechnical Engineering 8/25
  9. 9. Angela Saviotti - Finite element analysis of innovative solutions of precast concrete beam-column ductile connectionsFIRST LOAD CONDITION : Applied Horizontal Force at the top of the column 2DNON LINEAR ANALYSIS STEEL CONCRETE Compressive Behavior Tensile Behavior Tension Softening Linear Elasticity Ideal Plasticity Linear Elasticity Ideal Linear Elasticity curve based on fracture energy A1 X X X B1 X X X A2.1 X X X B2.1 X X X A3.1 X X X B3.1 X X X A4.4 X X X B4.4 X X X Faculty of Civil and Industrial Engineering Department of Structural and Geotechnical Engineering 9/25
  10. 10. Angela Saviotti - Finite element analysis of innovative solutions of precast concrete beam-column ductile connections SECOND LOAD CONDITION : Imposed vertical displacement at the top of the column 2D NON LINEAR ANALYSIS – CYCLIC ANALYSIS MODEL “A”Deformedconfiguration developedby the structure at STEPn. 25 imposed maximumdisplacement δ=80 mm. Faculty of Civil and Industrial Engineering Department of Structural and Geotechnical Engineering 10/25
  11. 11. Angela Saviotti - Finite element analysis of innovative solutions of precast concrete beam-column ductile connectionsSECOND LOAD CONDITION : Imposed vertical displacement at the top of the column 2D NON LINEAR ANALYSIS – CYCLIC ANALYSIS MODEL “A” Step 25 Step 50, imposed Step 110 Step 25, imposed displacement δ=80 displacement δ=0 mm mm Step 80 Step 50 Step 80, imposed Step 110, imposed displacement δ= - 80 mm displacement δ=0 mmSTRESS on reinforcing steel CRACKING STATUS Step 25 Step 1 Step 25 σmax=450 .0 N/mmq Step 50 σmin = - 450 .0 N/mmq Step 50 Step 80 Step 80 σmin= - 450 .0 N/mmq Step 110 σmin= - 203.25 N/mmq Faculty of Civil and Industrial Engineering Department of Structural and Geotechnical Engineering 11/25
  12. 12. Angela Saviotti - Finite element analysis of innovative solutions of precast concrete beam-column ductile connections Faculty of Civil and Industrial Engineering Department of Structural and Geotechnical Engineering 12/25
  13. 13. Angela Saviotti - Finite element analysis of innovative solutions of precast concrete beam-column ductile connections MODEL 3D MESH Concrete, Mortar, Rubber and Steel Plates Four-node, three-side iso- parametric solid pyramid elements (TE12L)158634 solid elements9106 bar elements31639 nodesTotal of around 142941 degree of Two-node straight trussfreedom elements (L2 TRU) Two-node, two- dimensional class-II beam element (L7BEN) Faculty of Civil and Industrial Engineering Department of Structural and Geotechnical Engineering 13/25
  14. 14. Angela Saviotti - Finite element analysis of innovative solutions of precast concrete beam-column ductile connectionsFIRST LOAD CONDITION: Applied Horizontal Force of 600 kN at the top of the column 3D LINEAR ANALYSIS Displacements MODEL “A” MODEL “B” mm mm Faculty of Civil and Industrial Engineering Department of Structural and Geotechnical Engineering 14/25
  15. 15. Angela Saviotti - Finite element analysis of innovative solutions of precast concrete beam-column ductile connectionsFIRST LOAD c CONDITION: Applied Horizontal Force at the top of the column LINEAR ANALYSIS Stress on reinforcing steel MODEL “A” MODEL “B” Faculty of Civil and Industrial Engineering Department of Structural and Geotechnical Engineering 15/25
  16. 16. Angela Saviotti - Finite element analysis of innovative solutions of precast concrete beam-column ductile connections 3DFIRST LOAD CONDITION : Applied Horizontal Force at the top of the columnNON LINEAR ANALYSIS Faculty of Civil and Industrial Engineering Department of Structural and Geotechnical Engineering 16/25
  17. 17. Angela Saviotti - Finite element analysis of innovative solutions of precast concrete beam-column ductile connections 3D FIRST LOAD CONDITION : Applied Horizontal Force at the top of the column NON LINEAR ANALYSIS MODEL “A” MODEL “B” mm mmDeformed configuration developed by the structure at Deformed configuration developed by the structure atSTEP 20 – Fmax= 390.2 kN, δmax=88.6 mm. STEP 15 - Fmax= 269.83 kN, δmax=87.27 mm Faculty of Civil and Industrial Engineering Department of Structural and Geotechnical Engineering 17/25
  18. 18. Angela Saviotti - Finite element analysis of innovative solutions of precast concrete beam-column ductile connectionsFIRST LOAD CONDITION : Applied Horizontal Force at the top of the column 3D NON LINEAR ANALYSIS: Stress on Reinforcing Steel MODEL “A” MODEL “B” STEP 5 Fmax= 128 kN, STEP 5 Fmax= 128.7 kN, δmax=5.17 mm δmax=6.97 mm σmax=108.21 N/mmq σmax=233.0 N/mmq STEP 10 Fmax= 205 kN, STEP 10 Fmax= 207 kN, δmax=16.9 mm δmax=12.75 mm – σmax=365.0 N/mmq σmax= 206.66 N/mmq STEP 15 Fmax=270 kN, STEP 20 Fmax= 390 kN, δmax=87.27 mm δmax=88.56 mm σmax=450.0 N/mmq σmax=450.0 N/mmq Faculty of Civil and Industrial Engineering Department of Structural and Geotechnical Engineering 18/25
  19. 19. Angela Saviotti - Finite element analysis of innovative solutions of precast concrete beam-column ductile connectionsFIRST LOAD CONDITION : Applied Horizontal Force at the top of the column 3D NON LINEAR ANALYSIS: Stress on Reinforcing Steel MODEL “A” MODEL “B” STEP 5 Fmax= 128 kN, STEP 5 Fmax= 128.7 kN, δmax=5.17 mm δmax=6.97 mm σmax=108.21 N/mmq σmax=233.0 N/mmq STEP 10 Fmax= 205 kN, STEP 10 Fmax= 207 kN, δmax=16.9 mm δmax=12.75 mm – σmax=365.0 N/mmq σmax= 206.66 N/mmq STEP 15 Fmax=270 kN, STEP 20 Fmax= 390 kN, δmax=87.27 mm δmax=88.56 mm σmax=450.0 N/mmq σmax=450.0 N/mmq Faculty of Civil and Industrial Engineering Department of Structural and Geotechnical Engineering 19/25
  20. 20. Angela Saviotti - Finite element analysis of innovative solutions of precast concrete beam-column ductile connectionsFIRST LOAD CONDITION: Applied Horizontal Force at the top of the column 3D NON LINEAR ANALYSIS: Cracking Status MODEL “A” MODEL “B” STEP 5 Fmax= 128 kN, STEP 5 Fmax= 128.7 kN, δmax=5.17 mm δmax=6.97 mm STEP 10 Fmax= 205 kN, STEP 10 Fmax= 207 kN, δmax=16.9 mm δmax=12.75 mm STEP 15 Fmax=270 kN, STEP 20 Fmax= 390 kN, δmax=87.27 mm δmax=88.56 mm Faculty of Civil and Industrial Engineering Department of Structural and Geotechnical Engineering 20/25
  21. 21. Angela Saviotti - Finite element analysis of innovative solutions of precast concrete beam-column ductile connections SECOND LOAD CONDITION : Imposed vertical displacement at the top of the column NON LINEAR ANALYSIS 3D MODEL “A” MODEL “B”Deformed Deformedconfiguration developed configuration developed byby the structure at LAST the structure at LAST STEPSTEP imposed imposed displacementdisplacement δ=120 mm. δmax=150 mm Stress–Strain graph of beam-column ductile connection Model “A” VsForce-Displacement graph: Model “A” Vs. Model “B” Model “B” Faculty of Civil and Industrial Engineering Department of Structural and Geotechnical Engineering 21/25
  22. 22. Angela Saviotti - Finite element analysis of innovative solutions of precast concrete beam-column ductile connectionsSECOND LOAD CONDITION : Imposed vertical displacement at the top of the column NON LINEAR ANALYSIS: Stress on Reinforcing Steel 3D MODEL “A” MODEL “B” STEP 1 Fmax= 143.9 kN, δmax=10 mm σmax=196.41 N/mmq STEP 1 Fmax= 123.6 kN, δmax=10 mm σmax=268.1 N/mmq STEP 5 Fmax= 232.5kN, δmax=50 mm STEP 5 Fmax= 139.4 kN, σmax=450.0 N/mmq δmax=50 mm σmax=348.3N/mmq STEP 12 Fmax= 223.13 STEP 12 Fmax= 139.95 kN, δmax= 120 mm kN, δmax=120 mm σmax=450.0 N/mmq σmin=-450.0 N/mmq Faculty of Civil and Industrial Engineering Department of Structural and Geotechnical Engineering 22/25
  23. 23. Angela Saviotti - Finite element analysis of innovative solutions of precast concrete beam-column ductile connectionsSECOND LOAD CONDITION : Imposed vertical displacement at the top of the column 3D NON LINEAR ANALYSIS: Crack Strain MODEL “A” MODEL “B” STEP 1 Fmax= 143.9 kN, STEP 1 Fmax= 123.6 kN, δmax=10 mm δmax=10 mm εknn=0.00242 % εknn=0.00703 % STEP 5 Fmax= 232.5kN, STEP 5 Fmax= 139.4 kN, δmax=50 mm δmax=50 mm εknn=0.0359 % εknn=0.0548 % STEP 12 Fmax= 223.13 STEP 12 Fmax= 139.95 kN, δmax= 120 mm kN, δmax=120 mm εknn=0.224% εknn=0.132 % Faculty of Civil and Industrial Engineering Department of Structural and Geotechnical Engineering 23/25
  24. 24. Angela Saviotti - Finite element analysis of innovative solutions of precast concrete beam-column ductile connections • Structural continuity is an important problem. •DIANA software, modeling the nonlinear behavior of concrete and mortar using total strain crack model. The reinforcing steel is modeled by a bilinear plasticity model • The full load capacity of the bars is developed without the failure of the concrete and the mortar • The progress of the cracking of the concrete is well reproduced. • The similarity between the results obtained with two different finite element programs, the previously mentioned DIANA and ASTER. • The role of the mortar stratum is weighted • The introduction of the connectors inside the mass of concrete. Faculty of Civil and Industrial Engineering Department of Structural and Geotechnical Engineering 24/25
  25. 25. Angela Saviotti - Finite element analysis of innovative solutions of precast concrete beam-column ductile connections 2D 3D Faculty of Civil and Industrial Engineering 25/25 Department of Structural and Geotechnical Engineering

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