PinchingLimitStateMaterial Example

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The following are sample scripts for using the Pinching Limit State Material and associated limit surface (RotationShearCurve) to simulate the behavior of a shear-critical reinforced concrete column tested by Sezen and Moehle (2006) (Specimen 1).

The scripts below are for a material model and limit surface that are applied to zero-length shear springs in series with fiber-section column elements (see references below for more detail).

Mode 1: Direct Parameter Input

limitCurve RotationShearCurve 1 3 1 3 3 -1 -1 -10.0 0.0175

uniaxialMaterial PinchingLimitStateMaterial 9 6 2 1 3057.9 2 1 0.3 0.2 0.0 0.3 0.2 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.3

Mode 2: Calibrated Model Input

limitCurve RotationShearCurve 1 3 1 3 3 -1 -1 0 1 16.0 13.625 16.0 115.75 6.0 6.28 169.0 43.0 1.0 0.00393 -3.177 65.5 66.6 0.0

uniaxialMaterial PinchingLimitStateMaterial 9 6 2 1 -3 2 2 1 16.0 13.625 16.0 57.88 6.0 6.28 169.0 43.0 1.0 0.00393 -3.177 65.5 66.6

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REFERENCES:

1. LeBorgne M. R., 2012, "Modeling the Post Shear Failure Behavior of Reinforced Concrete Columns." Austin, Texas: University of Texas at Austin, PhD, 301.

2. LeBorgne M. R. , Ghannoum W. M., 2013, "Analytical Element for Simulating Lateral-Strength Degradation in Reinforced Concrete Columns and Other Frame Members," Journal of Structural Engineering, doi: 10.1061/(ASCE)ST.1943-541X.0000925

3. Ghannoum W. M., Moehle J. P., 2012, "Rotation-Based Shear Failure Model for Lightly Confined Reinforced Concrete Columns," Journal of Structural Engineering, V. 138, No. 10, 1267-78

4. Sezen Halil, Moehle Jack P., 2006, "Seismic Tests of Concrete Columns with Light Transverse Reinforcement," ACI Structural Journal, V. 103, No. 6, 842-9.

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Code Developed by: Matthew Leborgne and Wassim M. Ghannoum, University of Texas at Austin