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NEES - Jan 23, 2008. UH-Contribution Ravi Mullapudi Parnak Charkhchi Ashraf Ayoub. OUTLINE. Combined Bending/Shear Modified Compression Field Theory (MCFT) Rotating Angle Softened Truss Model (RA-STM) Fixed Angle Softened Truss Model (FA-STM) Soften Membrane Model (SMM)
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NEES - Jan 23, 2008 UH-Contribution Ravi Mullapudi Parnak Charkhchi Ashraf Ayoub
OUTLINE • Combined Bending/Shear • Modified Compression Field Theory (MCFT) • Rotating Angle Softened Truss Model (RA-STM) • Fixed Angle Softened Truss Model (FA-STM) • Soften Membrane Model (SMM) • Comparison between Models • Seismic Analysis – Numerical Results • Combined Torsion/Bending/Shear • Discretization of Section in 2D/3D Regions • 3D Constitutive Models • Section Analysis • Numerical Results • On-Going Work • Beam Element under Combined Torsion/Bending/Shear • Seismic Analysis • OpenSees
Modified Compression Field Model Rotating Angle- Softened Truss Model
SOFTEN TRUSS MODEL -Principle Concrete Element • Shear stress along crack ≠ 0 Vc • Biaxial Stress & Strain • Smeared Approach SOFTEN Membrane MODEL • Hsu/Zhu Poisson Ratio
NUMERICAL RESULTS – USC Shear-Critical Column = 86 MPa Xiao and Martirossyan Longitudinal yield stress = 510 MPa Transverse yield stress = 449 MPa
NUMERICAL RESULTS Effect of Different Models Monotonic Analysis with different Elements HC4-8L16-T6-0.1P Column
NUMERICAL RESULTS Hoop Strain Distributions HC4-8L16-T6-0.1P Column
NUMERICAL RESULTS – Cyclic Load Displacement Axial Load = 1068 kN USC Column Flexure Element • Flexure element is unable to predict the correct behavior
NUMERICAL RESULTS – Cyclic Load Displacement Axial Load = 1068 kN USC Column Shear Element HC4-8L16-T6-0.2P Column • Shear element is able to predict the correct behavior
NUMERICAL RESULTS Shear Element Load Displacement Dynamic Shear Analysis HC4-8L16-T6-0.1P Column
– Earthquake Analysis – Load vs. Deformation NUMERICAL RESULTS HC4-8L16-T6-0.1P Column El Centro Record
= 22 MPa NUMERICAL RESULTS – Shear-Critical Column Aboutaha et al. Longitudinal yield stress = 434 MPa Transverse yield stress = 400 MPa
NUMERICAL RESULTS – Shear Element Load Displacement 48” Column Syracuse Column Axial Load = 0 kN • Due to weak axis loading, Pinching is high
NUMERICAL RESULTS – Shear and Flexure Element 48” Column Syracuse Column Axial Load = 0 kN • Flexure element is unable to predict the correct behavior
NUMERICAL RESULTS – Earthquake Analysis – Time History 48” Column Syracuse Column Shear Analysis Assumed Axial Load = 0.1 fc Ag = 205.5 kN 2 * EL Centro (1940) record
– Earthquake Analysis – Load vs. Deformation NUMERICAL RESULTS SC3 Column Shear Dynamic 2*El-Centro
NUMERICAL RESULTS – Earthquake Analysis – Time History Syracuse Column Flexure and Shear Analysis Assumed Axial Load = 0.1 fc Ag = 205.5 kN 2 * EL Centro (1940) record
Shell Region Core Region Transverse Reinforcement 1% Longitudinal Reinforcement 2% 406.4 mm Dia. NUMERICAL RESULTS – UNR Column Axial Load = 355 kN Vu Phan et al. 36.3 N – S2/mm 1829 mm EL Centro NS
NUMERICAL RESULTS – Earthquake Analysis EL Centro (1940) record UNR Column- 9F1 Experiment
NUMERICAL RESULTS – Earthquake Analysis EL Centro (1940) record UNR Column
Shear Element Load Displacement NUMERICAL RESULTS UNR Column 9S1 Deflection for 2.0*El Centro
Torsion Basic Equations Equilibrium Compatibility
Torsional Section Discretization 2D/3D Regions
3D Constitutive Model – Vecchio and Selby Approach (1991) • No Complete 3D- Model available • Assuming the same relation ship for intermediate stress calculation • Implemented the 3D procedure to SMM
Torsional Section Fiber Section Analysis
Numerical Results Pure Torsion Box Section
Numerical Results - Combined Torsion/Bending 5, #9 bars #4 hoops @ 5” 24” 12”