7. The fixed bearing assemblies were located at piers 1, 3, 7, 9, 12, and 13.
Expansion (sliding) bearings were used at the south and north abutments and at
piers 2, 4, 10, and 11.
Expansion roller bearings were used at piers 5, 6, and 8.
chiara.crosti@uniroma1.it
Bridge Scheme
CASE STUDY
19. chiara.crosti@uniroma1.it
After this tragedy, the Federal Highway Administration (FHWA) focused its attention on all the
465 steel deck truss bridges present in the National Bridge Inventory [NTSB, 2008].
“The term “fracture critical” indicates that if one main component of a bridge fails, the entire
structure could collapse. Therefore, a fracture critical bridge is a steel structure that is designed
with little or no load path redundancy. Load path redundancy is a characteristic of the design that
allows the bridge to redistribute load to other structural members on the bridge if any one member
loses capacity. “
CASE STUDY
22. THE MAIN CAUSE:
The primary cause was the under-sized gusset plates, at 0.5 inches (13 mm) thick;
U10-W
5/67
[*] National Transportation Safety Board, “Collapse of I-35 W Highway Bridge, Minneapolis, Minnesota, August
1, 2007” Accident Report, NTSB/HAR 08/03 PB 2008-916213, Washington D.C. 20594. 2008.
chiara.crosti@uniroma1.it
FORENSIC INVESTIGATION
23. FINITE ELEMENT MODEL FOR OUTSIDE WEST GUSSET PLATE AT U10W
1977-1998
[*] National Transportation Safety Board, “Collapse of I-35 W Highway Bridge, Minneapolis, Minnesota, August
1, 2007” Accident Report, NTSB/HAR 08/03 PB 2008-916213, Washington D.C. 20594. 2008.
chiara.crosti@uniroma1.it
Stress contours for outside (west) gusset plate at U10W at time of bridge opening in 1967
Yield stress
of 51.5 ksi
FORENSIC INVESTIGATION
South North
24. 2 inches (51 mm) of concrete were added to the road surface over the years,
increasing the dead load by 20%;
6/67
[*] National Transportation Safety Board, “Collapse of I-35 W Highway Bridge, Minneapolis, Minnesota, August
1, 2007” Accident Report, NTSB/HAR 08/03 PB 2008-916213, Washington D.C. 20594. 2008.
chiara.crosti@uniroma1.it
FORENSIC INVESTIGATION
THE ADDITIONARY CAUSE:
1977, Renovation:
Increased Deck Thickness
1998, Renovation:
Median Barrier, Traffic Railings,
and Anti-Icing System
2007, Repair and Renovation:
Repaving
25. FINITE ELEMENT MODEL FOR OUTSIDE WEST GUSSET PLATE AT U10W
[*] National Transportation Safety Board, “Collapse of I-35 W Highway Bridge, Minneapolis, Minnesota, August
1, 2007” Accident Report, NTSB/HAR 08/03 PB 2008-916213, Washington D.C. 20594. 2008.
chiara.crosti@uniroma1.it
Stress contours for outside (west) gusset plate at U10W after 1977 and 1998 renovation projects
Yield stress
of 51.5 ksi
FORENSIC INVESTIGATION
South North
26. The extraordinary weight of construction equipment and material resting on the
bridge just above its weakest point at the time of the collapse
7/67
[*] National Transportation Safety Board, “Collapse of I-35 W Highway Bridge, Minneapolis, Minnesota, August
1, 2007” Accident Report, NTSB/HAR 08/03 PB 2008-916213, Washington D.C. 20594. 2008.
[*]
U10-WNorth South
chiara.crosti@uniroma1.it
FORENSIC INVESTIGATION
184 380 lbf (820 kN) of gravel
198 820 lbf (884 kN) of sand
195 535 lbf (870 kN) of parked construction vehicles and personnel
THE ADDITIONARY CAUSE:
27. The extraordinary weight of construction equipment and material resting on the
bridge just above its weakest point at the time of the collapse
7/67
[*] National Transportation Safety Board, “Collapse of I-35 W Highway Bridge, Minneapolis, Minnesota, August
1, 2007” Accident Report, NTSB/HAR 08/03 PB 2008-916213, Washington D.C. 20594. 2008.
[*]
U10-WNorth South
chiara.crosti@uniroma1.it
FORENSIC INVESTIGATION
Pier 6
184 380 lbf (820 kN) of gravel
198 820 lbf (884 kN) of sand
195 535 lbf (870 kN) of parked construction vehicles and personnel
THE ADDITIONARY CAUSE:
28. FINITE ELEMENT MODEL FOR OUTSIDE WEST GUSSET PLATE AT U10W
[*] National Transportation Safety Board, “Collapse of I-35 W Highway Bridge, Minneapolis, Minnesota, August
1, 2007” Accident Report, NTSB/HAR 08/03 PB 2008-916213, Washington D.C. 20594. 2008.
chiara.crosti@uniroma1.it
Stress contours for outside (west) gusset plate at U10W on August 1, 2007
Yield stress
of 51.5 ksi
FORENSIC INVESTIGATION
South North
29. chiara.crosti@uniroma1.it
FINITE ELEMENT MODEL FOR OUTSIDE WEST GUSSET PLATE AT U10W
Stress contours for outside (west) gusset plate at U10W on August 1, 2007
Yield stress
of 51.5 ksi
FORENSIC INVESTIGATION
49. Temperature Effects
The deck truss portion of the bridge was designed and constructed with a fixed bearing at pier 7 (on
the north side of the river) and roller bearings at the remaining three piers (5, 6, and 8).
Postcollapse examination of the roller bearing components showed the presence of roller wear
marks, indicating that the deck truss was moving relative to piers 5, 6, and 8 in response to thermal
contraction and expansion. This movement limited the amount of longitudinal force applied to the
top of any pier
On the day of the bridge collapse, the temperature had increased approximately 20º F from
morning to early evening, the time of the accident. The finite element analysis incorporated this
temperature increase with fixed bearings (but allowing for pier flexibility) to evaluate worst
case temperature effects. The effects of a difference in temperature on the east and west trusses
arising from the position of the sun were also evaluated. This analysis showed that the loads
necessary to initiate the lateral shifting instability of diagonal L9/U10W increased with increasing
temperature, and this result did not change when differential temperature was included, indicating
that the change in temperature on the day of the accident did not play a role in initiation of the
collapse.
chiara.crosti@uniroma1.it
OTHER POSSIBLE COLLAPSE SCENARIOS CONSIDERED FROM NTSB *
[*] National Transportation Safety Board, “Collapse of I-35 W Highway Bridge, Minneapolis, Minnesota, August
1, 2007” Accident Report, NTSB/HAR 08/03 PB 2008-916213, Washington D.C. 20594. 2008.
FORENSIC INVESTIGATION
50. Corrosion Damage in Gusset Plates at L11 Nodes
None of the available evidence (video recording, evaluation of the fracture and deformation
patterns, and finite element analysis) indicated a possible initial failure associated with the L11
nodes
Fracture of Floor Truss
Safety Board investigators considered the possibility that the collapse of the deck truss could have
resulted from an initial pure tension or pure compression failure of a member within a floor truss.
However, examination of the floor trusses reconstructed at Bohemian Flats revealed none of these
types of fractures. Although a portion of a fracture in the upper chord of floor truss 10 contained
brittle fracture characteristics, this fracture was consistent with bending loads applied when
diagonal L9/U10E struck the lower surface of the upper chord of the floor truss, clearly a secondary
event.
Preexisting Cracking
Neither of these cracks, however, was in an area associated with the identified area of the collapse
initiation, and no evidence was found that preexisting cracking contributed to the collapse or
significantly affected the collapse sequence
chiara.crosti@uniroma1.it
Pier Movement
Postcollapse survey measurements indicated that piers 5 and 6 exhibited no settlement or
displacement, but that piers 7 and 8 were tilting about 9º southward toward the river. The Safety
Board evaluated the possibility that movement of one or both of these tilted piers initiated or
affected the collapse.
OTHER POSSIBLE COLLAPSE SCENARIOS CONSIDERED FROM NTSB *
FORENSIC INVESTIGATION
56. Continued gusset plate load ratings on 25 Trunk Hwy specified bridges that began back
in October 2007
February 2, 2008: FHWA Issued 1st gusset plate analysis method draft
March 2008: Gusset inspections began on the 25 specified bridges
March – August 2008: Gusset plate load rating analyses refined based on inspection
findings
February 2009: FHWA published final draft of gusset plate analysis method titled -
"Load Rating Guidance and Examples For Bolted and Riveted Gusset Plates in Truss
Bridges"
chiara.crosti@uniroma1.it
FORENSIC INVESTIGATION
57. St. Cloud Bridge
closed and replacement accelerated
Blatnik Bridge in Duluth
gusset stiffened to restore full safety factor
Winona Bridge
reinforced gusset due to corrosion
Hastings Bridge
unsupported edge stiffened to meet code requirements
chiara.crosti@uniroma1.it
FORENSIC INVESTIGATION
61. RESISTANCE OF GUSSET PLATES:
GUSSET PLATES IN TENSION
GUSSET PLATES SUBJECT TO SHEAR
GUSSET PLATES IN COMPRESSION
FHWA GUIDELINES, (February, 2009)
26/67
chiara.crosti@uniroma1.it
FORENSIC INVESTIGATION
RESISTANCE OF FASTENERS
SHEAR RESISTANCE OF FASTENERS
PLATE BEARING RESISTANCE AT FASTENERS
http://bridges.transportation.org/Documents/FHWA-IF-09
014LoadRatingGuidanceandExamplesforGussetsFebruary2009rev3.pdf
62. CRITICAL REVIEW OF THE FHWA GUIDELINES:
• Stiffness of framing members, that increase the ultimate compression capacity of the gusset
plate;
• Influence of the initial imperfections, that decrease the ultimate compression capacity of the
gusset plate;
• Edge buckling vs. Gusset plates buckling, from that the importance of making consideration
not only on the length of the free edge, but also length of equivalent column is important for
buckling
40/67
chiara.crosti@uniroma1.it
Framing member stiffness
Gusset Plates
For LRFR and λ ≤ 2.25
(assumes δ ≤ L /1500)
What if δ > L /1500) ?
FORENSIC INVESTIGATION
64. FHWA SETUP**
chiara.crosti@uniroma1.it
[**] Iadicola M., Ocel J., Zobel R., “Quantitative Evaluation of Digital Image Correlation for Large-Scale Gusset
Plate Experiments”, IABMAS2012, Stresa, Lake Maggiore, Italy, July 8-12.
NIST PHYSICAL INFRASTRUCTURE PROGRAM
66. Advanced computing modeling
Hand calculation
chiara.crosti@uniroma1.it
7/28
FHWA, 2009
chiara.crosti@uniroma1.it
SIMPLIFIED CONNECTION MODEL
67. Connection element 1 Connection element 3
Connection element 4
n. connection elements: 5
Each connection element has a
6x6 stiffness matrix
N. Nodes: 28330
n. Dof : 169980
n. Elements S4R and S3R: 27670
45/6
7
chiara.crosti@uniroma1.it
MODELING OF GUSSET PLATE CONNECTIONS
SUB-STRUCTURING ANALYSIS – SIMPLIFIED LINEAR CONNECTION MODEL
69. ALL RIGID JOINT
U10 W
ALL RIGID JOINT + 1 SEMI-RIGID JOINT
NorthSouth
chiara.crosti@uniroma1.it
3D MODEL OF THE I35-W BRIDGE
3D FINITE ELEMENT MODEL
Nodes: 1172
Beam elements: 1849
71. 0,0
0,2
0,4
0,6
0,8
1,0
1,2
1,4
1,6
1,8
-2,0E+07 -1,0E+07 0,0E+00 1,0E+07 2,0E+07 3,0E+07
LoadFactor
Axial Forces (N)
CONNECTION 1 CONNECTION 2 CONNECTION 3
CONNECTION 4 CONNECTION 5 AXIAL CAPACITY CONNECTION 1
AXIAL CAPACITY CONNECTION 2 AXIAL CAPACITY CONNECTION 3 AXIAL CAPACITY CONNECTION 4
AXIAL CAPACITY CONNECTION 5
57/6319/28
Compression Tension
What is important to underline is not only the possibility to catch the collapse due to the failure of
the connection, but moreover to classify the cause of the collapse which, in this case, happened
because of the achievement for one of the connection elements of the maximum capacity in
compression.
chiara.crosti@uniroma1.it
NONLINEAR ANALYSES RESULTS
NONLINEAR ANALYSES RESULTS
72. Deformed shape (scale displacement of 10)
at the ultimate load (Pu) of 1.2+07 N
62/67
chiara.crosti@uniroma1.it
What is important to underline is not only the
possibility to catch the collapse due to the failure of
the connection, but moreover to classify the cause
of the collapse which, in this case, happened
because of the achievement for one of the
connection elements of the maximum capacity in
compression.
CONCLUSIVE CONSIDERATIONS
CONCLUSION
Connection
member
Load
ratio
Tension or
compression
1 0.28 Compression
2 0.56 Tension
3 1.00 Compression
4 0.02 Tension
5 0.41 Tension
73. I-35W Bridge was subjected constantly to inspection to assess its safety but even with that people
in charge did not notice that the bridge was about to fail. A future work could be to develop
parametric study on some particular shapes of gusset plates in order to identify some “critical”
points where the monitoring of the out-plane displacements, could give to the owners of the
bridges a warning of what it is happening in the connection. An idea of monitoring could have been
done with a technique of monitoring developed by NIST who focuses its research on two areas of
structural health monitoring:
•development of non-destructive techniques; and
•analysis for determining the degraded condition of infrastructural components and their
subcomponents.
FURTHER DEVELOPMENTS
•FEA results•Results from monitoring **
chiara.crosti@uniroma1.itchiara.crosti@uniroma1.it
CONCLUSION
[**] Iadicola M., Ocel J., Zobel R., “Quantitative Evaluation of Digital Image Correlation for Large-Scale Gusset
Plate Experiments”, IABMAS2012, Stresa, Lake Maggiore, Italy, July 8-12.
•FHWA test
74. [**] Iadicola M., Ocel J., Zobel R., “Quantitative Evaluation of Digital Image Correlation for Large-Scale Gusset
Plate Experiments”, IABMAS2012, Stresa, Lake Maggiore, Italy, July 8-12.
chiara.crosti@uniroma1.it
CONCLUSION
76. •100-year life span
•Design-build project complete in 339 days.
•Designed to be aesthetically pleasing and fit in with its environment
•The bridge was constructed with high-strength concrete
•189 feet wide—the previous bridge was 113 feet wide
•10 lanes of traffic, five in each direction—two lanes wider than the former bridge
•13 foot wide right shoulders and 14 foot wide left shoulders, the previous bridge had no
shoulders
•Light Rail Transport-ready which may help accommodate future transportation needs
•There are 323 sensors that regularly measure bridge conditions such as deck
movement, stress, and temperature
I-35W SAINT ANTHONY FALLS BRIDGE (September 2008)
chiara.crosti@uniroma1.it
CONCLUSION
78. Opening day was six years ago, and the I-35W bridge is needing repairs — some that come from
our harsh winters, but some from improper installations.
chiara.crosti@uniroma1.it
CONCLUSION
80. ACKNOWLEDGMENT
The author would like to acknowledge:
•Professor Franco Bontempi and his team, www.francobontempi.org, for the support
and the help,
•the Metallurgy division of the National Institute of Standard and Technology (NIST) in
particular Dr. Dat Duthinh for the support and the help,
•Eng. Piergiorgio Perin for providing the use of the finite element code Straus, and
•NTSB and FHWA for allowing the access to the detailed FE model used in the
investigation of the collapse of the I-35 W Bridge.
chiara.crosti@uniroma1.it
CONCLUSION