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Increasing Panel Ductility to Improve Blast Response
BLAST RESISTANT CONCRETE WALL PANELS
Patrick Trasborg, Ph.D. Student – Lehigh University Pierluigi Olmati, Ph.D. Student – Sapienza Università di Roma Clay Naito, Ph.D., P.E. – Lehigh University
NSF PD 08-1637
2012 Critical Infrastructure Symposium
Overview
What is precast concrete and a sandwich panel?
How do we design blast resistant reinforced concrete components?
Can we design wall panels the same way?
How can we improve a wall panel’s blast performance?
2
Precast Concrete
Parking Structures / Office Buildings / Residential / Manufacturing
Precast Concrete Construction • Cost Effective • Energy Efficient • High Quality • Rapid Construction
3
Sandwich Panel
Exterior Wythe with Architectural Features
Insulation Foam – XPS, EPS, PIMA
Interior Wythe with Wall-to-Structure Connections
Shear Ties to Connect Interior and Exterior Wythes 4
Overview
How do we design blast resistant reinforced concrete components?
5
Blast Design of Concrete Components
6
Far-field Detonation
Known Threat
Blast Design of Concrete Components
7
Differential Equation of Motion
Approximated as a single degree of freedom (SDOF)
Solve an “equivalent” SDOF system
Development of Resistance Function
8
Idealized RC Resistance Function
Plastic Hinge Formation
Correlating Panel Response to Damage
9
Defined in terms of:
Support rotation,
Displacement Ductility,
Dyield
Dultimate q
D
yield
ultimate
D
D
D
fCSpan
1tanqCurrent Response
Limits for Structural Members
Correlating Panel Response to Damage
10
Defined in terms of:
• Support Rotation, θ
• Displacement Ductility, μ
Overview
Can we design wall panels the same way?
11
Sandwich Wall Resistance Function
12
Uniform Static Load Tests
Resistance Function
Sandwich Wall Resistance Function
13
Resistance Function
Superficial Moderate Heavy Hazardous Blowout
Current RC Limits μ ≤ 1.0 θ ≤ 2.0º 2.0º < θ ≤ 5.0º 5.0º < θ ≤ 10.0º θ > 10.0º
Observed RC Limits μ ≤ 1.0 θ ≤ 3.1º 3.1º < θ ≤ 5.7º 5.7º < θ ≤ 7.6 θ > 7.6
0
1
2
3
4
5
6
7
0 2 4 6 8
Resi
stan
ce [
psi
]
Support Rotation [deg.]
UFC Estimate (M1)
Measured (M1/PSC2)
Measured (M3/TS2)
UFC Estimate (M3)
Unconservative Estimate of Performance
Overview
How can we improve a wall panel’s blast performance?
14
Locally Unbonding Reinforcement
15
Teflon Tubing
Locally Unbonding Reinforcement
16
0
2
4
6
8
10
12
14
16
0 5 10 15 20
Res
ista
nce
[psi
]
Support Rotation [deg]
UFCUnbond Average
Bar Fracture
Near Elastic-Perfectly Plastic Behavior
Locally Unbonding Reinforcement
17
0
2
4
6
8
10
12
14
0 5 10 15 20 25
Res
ista
nce
[psi
]
Support Rotation [deg]
Control7.5" Unbond15" Unbond22.5" Unbond
Heavy Damage Threshold
Hazardous Damage Threshold
Blowout Threshold
Average Values
Numerical Modeling
18
Discrete Crack Model
Beam Element Model
Numerical Modeling
19
Resistance Function
Rebar Stress Distribution
Conclusion
20
Standard Approach Leads to Unconservative Design
0
1
2
3
4
5
6
7
0 2 4 6 8
Res
ista
nce
[p
si]
Support Rotation [deg.]
UFC Estimate (M1)
Measured (M1/PSC2)
Measured (M3/TS2)
UFC Estimate (M3)
Elastic-Hardening-Softening
Elastic-Perfectly Plastic
Superficial Moderate Heavy Hazardous Blowout
q q q q q
Current Limits 1.0 - - 2º - 5º - 10º - >10º
Observed Limits 1.0 - - 3.1º - 5.7º - 7.6º - >7.6º
Conclusion
21
0
2
4
6
8
10
12
14
0 5 10 15 20 25
Res
ista
nce
[psi
]
Support Rotation [deg]
Control7.5" Unbond15" Unbond22.5" Unbond
Locally unbonding longitudinal reinforcement may:
»Increase panel ductility
»More closely match elastic-plastic behavior
0
2
4
6
8
10
12
14
16
0 5 10 15 20
Res
ista
nce
[psi
]
Support Rotation [deg]
UFCUnbond Average
Conclusions
22
Analytical Model
Resistance Function
Clarification Questions?
23
Patrick Trasborg, EIT
Clay Naito, Ph.D., P.E.
2012 Critical Infrastructure Symposium
This material is based upon work supported by the National Science Foundation under Grant No. CMMI-1030812. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.
References
(1) PCI Committee on Precast Sandwich Wall Panels, “State-of-the-Art of Precast/Prestressed Sandwich Wall Panels”, PCI Journal: Vol 2, No 2, March 1997
(2) PCI Blast Resistance and Structural Integrity Committee, “Blast-Resistant Design of Precast/Prestressed Concrete Components”, PCI Report, July 2010
(3) Department of Defense, “Structures to Resist the Effects of Accidental Explosions”, UFC 3-340-02, 2008, p. 1106
(4) U.S. Army Corps of Engineers, “Single Degree of Freedom Structural Response Limits for Antiterrorism Design”, Protective Design Center Technical Report PDC-TR 06-08 – Rev 1, 2008
(5) Air Force Research Laboratory, “Analytical Assessment of the Blast Resistance of Precast, Prestressed Concrete Components”, AFRL-ML-TY-TP-2007-4529 Interim Report, April 2007
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