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PROGRESSIVE COLLAPSE SUSCEPTIBILITY OF A LONG SPAN
SUSPENSION BRIDGE
Progressive Collapse and Structural Robustness: An International Perspective
Clay J. Naito, Ph.D., P.E., Associate Professor and Associate Chair
Konstantinos Gkoumas, Ph.D., P.E., Associate Researcher
Pierluigi Olmati 1
P.E., Ph.D. Student
Email: pierluigi.olmati@uniroma1.it
Luisa Giuliani 2
Ph.D., Assistant Professor
Email: lugi@byg.dtu.dk
1 Sapienza University of Rome
2 Technical University of Denmark (DTU)
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org
2 Presentation outline
Introduction on the progressive collapse
The Messina Strait Bridge
Damage based approach and numerical simulations
1
2
3
4 Conclusions
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org
3
Progressive Collapse case history
Ronan Point – May 16, 1968
Progressive Collapse triggered by
precast concrete bearing wall failure
(gas deflagration).
Ali Khobar – June 25, 1996
Progressive Collapse was stopped
(ANFO detonation, 9 ton TNTeq).
Oklahoma City – May 19, 1995
Progressive Collapse triggered by
concrete column failure
(ANFO detonation, 1.8 ton TNTeq).
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org
1
2
3
4
Introduction
4
Progressive Collapse case history
Deutsche Bank – September 11, 2001
Progressive Collapse was stopped
(Debris impact).
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org
1
2
3
4
Introduction
5
Ronan Point – May 16, 1968
General view of Ronan Point prior to
demolition/photo 1987/photographer
M Glendinning
Features:
- apartments building;
- built between 1966 and 1968;
- 64 m tall with 22 story;
- walls, floors, and staircases were made of precast
concrete;
- each floor was supported directly by the walls in
the lower stories, (bearing walls system).
References:
NISTIR 7396: Best practices for reducing the potential for
progressive collapse in buildings. Washington DC: National
Institute of Standards and Technology (NIST), 2007.
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org
1
2
3
4
Introduction
6
Cause Damage Pr. Collapse
Features:
- apartments building, built between ‘66 and ’68;
- 64 m tall with 22 story;
- walls, floors, and staircases were made of precast
concrete;
- each floor was supported directly by the walls in
the lower stories, (bearing walls system).
The event:
- May 16, 1968 a gas explosion blew out an outer
panel of the 18th floor;
- the loss of the bearing wall causes the
progressive collapse of the upper floors;
- the impact of the upper floors’ debris caused the
progressive collapse of the lower floors.
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org
1
2
3
4
Introduction
Ronan Point – May 16, 1968
7
Ali Khobar – June 25, 1996
References:
NISTIR 7396: Best practices for reducing the potential for
progressive collapse in buildings. Washington DC: National
Institute of Standards and Technology (NIST), 2007.
Features:
- apartments building;
- precast concrete wall and floor components
were the structural bearing system;
- ductile detailing and effective ties between
the precast components.
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org
1
2
3
4
Introduction
8
Features:
- apartments building;
- precast concrete wall and floor components
were the structural bearing system;
- ductile detailing and effective ties between
the precast components.
Cause Damage Pr. Collapse
The event:
- June 25, 1996 9 ton of
TNTeq detonated in front
of the building;
- the exterior wall was
entirely destroyed;
- collapse did not progress
beyond areas of first
damage.
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org
1
2
3
4
Introduction
Ali Khobar – June 25, 1996
9
Progressive Collapse
Definitions:
1- "Progressive collapse is defined as the spread of an initial local failure
from element to element resulting, eventually, in the collapse of an entire
structure or a disproportionate large part of it." (ASCE 7-05 2005)
2- "A progressive collapse is a situation where local failure of a primary
structural component leads to the collapse of adjoining members which, in
turn, leads to additional collapse. Hence, the total collapse is
disproportionate to the original cause." (GSA 2003)
3- "Progressive collapse. A chain reaction failure of building members to an
extent disproportionate to the original localized damage." (UFC 4-010-01
2003)
References:
(ASCE 7-05 2005): "Minimum design loads for buildings and other structures." American Society of Civil
Engineers (ASCE).
(GSA 2003): "Progressive collapse analysis and design guidelines for new federal office buildings and major
modernization projects." General Services Administration (GSA).
(UFC 4-010-01 2003): "DoD minimum antiterrorism standards for buildings." Department of Defense (DoD).
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org
1
2
3
4
Introduction
10
Cause Damage Pr. Collapse
Disproportionate Collapse ???
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org
1
2
3
4
Introduction
11
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org
1
2
3
4
Introduction
13
Cause Damage Pr. Collapse
Disproportionate Collapse ???
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org
1
2
3
4
Introduction
14 Presentation outline
Introduction on the progressive collapse
The Messina Strait Bridge
Damage based approach and numerical simulations
Conclusions
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org
1
2
3
4
15
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org
1
2
3
4
Messina Bridge
16
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org
1
2
3
4
Messina Bridge
17
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org
1
2
3
4
Messina Bridge
Proposed Messina Strait Bridge
Length of main span: 10827 feet
Height of tower: 1255 feet
Golden Gate Bridge
Length of main span: 4200 feet
Height of tower: 746 feet
18
DECK
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org
1
2
3
4
Messina Bridge
19 Presentation outline
Introduction on the progressive collapse
The Messina Strait Bridge
Damage based approach and numerical simulations
Conclusions
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org
1
2
3
4
20
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org
Damage based approach, numerical simulations
21
εy ε 1 ε 2 ε 3
σy
χy χ 1 χ 2 χ 3
My
(a) (b)
M1 σ1
M2 σ2
Flexural
My
[MN m]
M1
[MN m]
M2
[MN m]
χy [1/m] χ1 [1/m] χ2 [1/m] χ3 [1/m]
Railways
girders
60 63 6.3 0.0015 0.0085 0.01 0.015
Highway
girders
130 136.5 13.65 0.001 0.0045 0.005 0.01
Transverse 80 84 8.4 0.00155 0.0095 0.011 0.0155
Axial σy [MPa] σ1 [MPa] σ2 [MPa] εy [-] ε1 [-] ε2 [-] ε3 [-]
Hangers 1620 1782 162 0.0077 0.01925 0.024 0.03
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org
1
2
3
4
Damage based approach, numerical simulations
22
East side
330 m
DS1
DS2
DS3
DS4
DS5
DS6
1650 m960 m
210 m
80 m
not to scale
Airbus A380-800
West side
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org
1
2
3
4
Damage based approach, numerical simulations
23
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org
1
2
3
4
Damage based approach, numerical simulations
st side
330 m
DS1
DS2
DS3
DS4
DS5
DS6
210 m
8
Airbus
24
1650 m960 m
not to scale
East hanger West hanger
Mid-point
West extremity point
East extremity point
Damage zone
East side
West side
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org
1
2
3
4
Damage based approach, numerical simulations
25
Moments on the high way deck – DS 1
Mid-point
West extremity point
Yield moment
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org
1
2
3
4
Damage based approach, numerical simulations
26
Moments on the high way deck – DS 3
Mid-point
West extremity point
Yield moment
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org
1
2
3
4
Damage based approach, numerical simulations
27
Moments on the high way deck – DS 4
Mid-point
West extremity point
Yield moment
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org
1
2
3
4
Damage based approach, numerical simulations
28
Moments on the high way deck – DS 5
Mid-point
West extremity point
Yield moment
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org
1
2
3
4
Damage based approach, numerical simulations
29
Moments on the high way deck – DS 6
Mid-point
West extremity point
Yield moment
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org
1
2
3
4
Damage based approach, numerical simulations
30
Average axial force on the East and West hangers
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org
1
2
3
4
Damage based approach, numerical simulations
31
Relative displacement at the Mid-point
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org
1
2
3
4
Damage based approach, numerical simulations
32
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org
1
2
3
4
Damage based approach, numerical simulations
33 Presentation outline
Introduction on the progressive collapse
The Messina Strait Bridge
Damage based approach and numerical simulations
Conclusions
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org
1
2
3
4
34
On the numerical simulations:
1- The progression of the damage from the hangers to
the bridge deck occurs for at least 8 destroyed
hangers.
2 - The complete failure of the deck occurs for at least
10-12 destroyed hangers.
3 - The progression of the damage to an adjoin hanger
occurs for 12 destroyed hangers.
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org
1
2
3
4
Conclusions
35
On the performance evaluation of this long span
suspension bridge:
1- When the damage could be considered
disproportionate?
- When the deck fails?
- When the damage progresses to an adjoin
hanger?
(And when the initial damage could be considered
to be local?)
2- Research on the progressive collapse should lead on
a quantitative evaluation of the progressive collapse
susceptibility.
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org
1
2
3
4
Conclusions
Progressive Collapse and Structural Robustness: An International Perspective
Clay J. Naito, Ph.D., P.E., Associate Professor and Associate Chair
Konstantinos Gkoumas, Ph.D., P.E., Associate Researcher
Olmati P, Giuliani L
Sapienza University of Rome & DTU
pierluigi.olmati@uniroma1.it
www.francobontempi.org

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Olmati and Giuliani

  • 1. PROGRESSIVE COLLAPSE SUSCEPTIBILITY OF A LONG SPAN SUSPENSION BRIDGE Progressive Collapse and Structural Robustness: An International Perspective Clay J. Naito, Ph.D., P.E., Associate Professor and Associate Chair Konstantinos Gkoumas, Ph.D., P.E., Associate Researcher Pierluigi Olmati 1 P.E., Ph.D. Student Email: pierluigi.olmati@uniroma1.it Luisa Giuliani 2 Ph.D., Assistant Professor Email: lugi@byg.dtu.dk 1 Sapienza University of Rome 2 Technical University of Denmark (DTU) Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org
  • 2. 2 Presentation outline Introduction on the progressive collapse The Messina Strait Bridge Damage based approach and numerical simulations 1 2 3 4 Conclusions Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org
  • 3. 3 Progressive Collapse case history Ronan Point – May 16, 1968 Progressive Collapse triggered by precast concrete bearing wall failure (gas deflagration). Ali Khobar – June 25, 1996 Progressive Collapse was stopped (ANFO detonation, 9 ton TNTeq). Oklahoma City – May 19, 1995 Progressive Collapse triggered by concrete column failure (ANFO detonation, 1.8 ton TNTeq). Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org 1 2 3 4 Introduction
  • 4. 4 Progressive Collapse case history Deutsche Bank – September 11, 2001 Progressive Collapse was stopped (Debris impact). Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org 1 2 3 4 Introduction
  • 5. 5 Ronan Point – May 16, 1968 General view of Ronan Point prior to demolition/photo 1987/photographer M Glendinning Features: - apartments building; - built between 1966 and 1968; - 64 m tall with 22 story; - walls, floors, and staircases were made of precast concrete; - each floor was supported directly by the walls in the lower stories, (bearing walls system). References: NISTIR 7396: Best practices for reducing the potential for progressive collapse in buildings. Washington DC: National Institute of Standards and Technology (NIST), 2007. Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org 1 2 3 4 Introduction
  • 6. 6 Cause Damage Pr. Collapse Features: - apartments building, built between ‘66 and ’68; - 64 m tall with 22 story; - walls, floors, and staircases were made of precast concrete; - each floor was supported directly by the walls in the lower stories, (bearing walls system). The event: - May 16, 1968 a gas explosion blew out an outer panel of the 18th floor; - the loss of the bearing wall causes the progressive collapse of the upper floors; - the impact of the upper floors’ debris caused the progressive collapse of the lower floors. Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org 1 2 3 4 Introduction Ronan Point – May 16, 1968
  • 7. 7 Ali Khobar – June 25, 1996 References: NISTIR 7396: Best practices for reducing the potential for progressive collapse in buildings. Washington DC: National Institute of Standards and Technology (NIST), 2007. Features: - apartments building; - precast concrete wall and floor components were the structural bearing system; - ductile detailing and effective ties between the precast components. Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org 1 2 3 4 Introduction
  • 8. 8 Features: - apartments building; - precast concrete wall and floor components were the structural bearing system; - ductile detailing and effective ties between the precast components. Cause Damage Pr. Collapse The event: - June 25, 1996 9 ton of TNTeq detonated in front of the building; - the exterior wall was entirely destroyed; - collapse did not progress beyond areas of first damage. Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org 1 2 3 4 Introduction Ali Khobar – June 25, 1996
  • 9. 9 Progressive Collapse Definitions: 1- "Progressive collapse is defined as the spread of an initial local failure from element to element resulting, eventually, in the collapse of an entire structure or a disproportionate large part of it." (ASCE 7-05 2005) 2- "A progressive collapse is a situation where local failure of a primary structural component leads to the collapse of adjoining members which, in turn, leads to additional collapse. Hence, the total collapse is disproportionate to the original cause." (GSA 2003) 3- "Progressive collapse. A chain reaction failure of building members to an extent disproportionate to the original localized damage." (UFC 4-010-01 2003) References: (ASCE 7-05 2005): "Minimum design loads for buildings and other structures." American Society of Civil Engineers (ASCE). (GSA 2003): "Progressive collapse analysis and design guidelines for new federal office buildings and major modernization projects." General Services Administration (GSA). (UFC 4-010-01 2003): "DoD minimum antiterrorism standards for buildings." Department of Defense (DoD). Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org 1 2 3 4 Introduction
  • 10. 10 Cause Damage Pr. Collapse Disproportionate Collapse ??? Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org 1 2 3 4 Introduction
  • 11. 11 Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org 1 2 3 4 Introduction
  • 12. 13 Cause Damage Pr. Collapse Disproportionate Collapse ??? Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org 1 2 3 4 Introduction
  • 13. 14 Presentation outline Introduction on the progressive collapse The Messina Strait Bridge Damage based approach and numerical simulations Conclusions Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org 1 2 3 4
  • 14. 15 Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org 1 2 3 4 Messina Bridge
  • 15. 16 Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org 1 2 3 4 Messina Bridge
  • 16. 17 Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org 1 2 3 4 Messina Bridge Proposed Messina Strait Bridge Length of main span: 10827 feet Height of tower: 1255 feet Golden Gate Bridge Length of main span: 4200 feet Height of tower: 746 feet
  • 17. 18 DECK Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org 1 2 3 4 Messina Bridge
  • 18. 19 Presentation outline Introduction on the progressive collapse The Messina Strait Bridge Damage based approach and numerical simulations Conclusions Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org 1 2 3 4
  • 19. 20 Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org Damage based approach, numerical simulations
  • 20. 21 εy ε 1 ε 2 ε 3 σy χy χ 1 χ 2 χ 3 My (a) (b) M1 σ1 M2 σ2 Flexural My [MN m] M1 [MN m] M2 [MN m] χy [1/m] χ1 [1/m] χ2 [1/m] χ3 [1/m] Railways girders 60 63 6.3 0.0015 0.0085 0.01 0.015 Highway girders 130 136.5 13.65 0.001 0.0045 0.005 0.01 Transverse 80 84 8.4 0.00155 0.0095 0.011 0.0155 Axial σy [MPa] σ1 [MPa] σ2 [MPa] εy [-] ε1 [-] ε2 [-] ε3 [-] Hangers 1620 1782 162 0.0077 0.01925 0.024 0.03 Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org 1 2 3 4 Damage based approach, numerical simulations
  • 21. 22 East side 330 m DS1 DS2 DS3 DS4 DS5 DS6 1650 m960 m 210 m 80 m not to scale Airbus A380-800 West side Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org 1 2 3 4 Damage based approach, numerical simulations
  • 22. 23 Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org 1 2 3 4 Damage based approach, numerical simulations st side 330 m DS1 DS2 DS3 DS4 DS5 DS6 210 m 8 Airbus
  • 23. 24 1650 m960 m not to scale East hanger West hanger Mid-point West extremity point East extremity point Damage zone East side West side Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org 1 2 3 4 Damage based approach, numerical simulations
  • 24. 25 Moments on the high way deck – DS 1 Mid-point West extremity point Yield moment Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org 1 2 3 4 Damage based approach, numerical simulations
  • 25. 26 Moments on the high way deck – DS 3 Mid-point West extremity point Yield moment Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org 1 2 3 4 Damage based approach, numerical simulations
  • 26. 27 Moments on the high way deck – DS 4 Mid-point West extremity point Yield moment Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org 1 2 3 4 Damage based approach, numerical simulations
  • 27. 28 Moments on the high way deck – DS 5 Mid-point West extremity point Yield moment Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org 1 2 3 4 Damage based approach, numerical simulations
  • 28. 29 Moments on the high way deck – DS 6 Mid-point West extremity point Yield moment Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org 1 2 3 4 Damage based approach, numerical simulations
  • 29. 30 Average axial force on the East and West hangers Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org 1 2 3 4 Damage based approach, numerical simulations
  • 30. 31 Relative displacement at the Mid-point Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org 1 2 3 4 Damage based approach, numerical simulations
  • 31. 32 Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org 1 2 3 4 Damage based approach, numerical simulations
  • 32. 33 Presentation outline Introduction on the progressive collapse The Messina Strait Bridge Damage based approach and numerical simulations Conclusions Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org 1 2 3 4
  • 33. 34 On the numerical simulations: 1- The progression of the damage from the hangers to the bridge deck occurs for at least 8 destroyed hangers. 2 - The complete failure of the deck occurs for at least 10-12 destroyed hangers. 3 - The progression of the damage to an adjoin hanger occurs for 12 destroyed hangers. Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org 1 2 3 4 Conclusions
  • 34. 35 On the performance evaluation of this long span suspension bridge: 1- When the damage could be considered disproportionate? - When the deck fails? - When the damage progresses to an adjoin hanger? (And when the initial damage could be considered to be local?) 2- Research on the progressive collapse should lead on a quantitative evaluation of the progressive collapse susceptibility. Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org 1 2 3 4 Conclusions
  • 35. Progressive Collapse and Structural Robustness: An International Perspective Clay J. Naito, Ph.D., P.E., Associate Professor and Associate Chair Konstantinos Gkoumas, Ph.D., P.E., Associate Researcher Olmati P, Giuliani L Sapienza University of Rome & DTU pierluigi.olmati@uniroma1.it www.francobontempi.org