handout george christian (1).pdf
TRANSCRIPT
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Bridge Failures - Lessons learned
George A. Christian, P.E.Director, Office of Structures
New York State Dept. of Transportation
Bridge Engineering Course
University at Buffalo
March 29, 2010
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Bridge Failures – Lessons Learned
Outline
– Overview of Bridge Failures
• Historic Failures in North America
• Recent U.S. failures that impacted bridge engineering
practice
• Lessons and Response
o
Recent NYSDOT BridgeFailure Investigations
oDealing with a failure
Part 1:
Part 2:
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My general lessons from bridge failures
• Bridges can, and will fail, if not properly designed,
constructed and maintained
• We may think we know everything to prevent
failures, but we do not.• In hindsight, most failures could have been
prevented (but not all).
• Failures generally result from a confluence ofcontributing events and/or underlying causes.
• When it comes to underlying causes, history can
repeat itself.
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―Honest human error in the face of the
unforeseen—or the unforeseeable—isultimately what brings bridges down.‖
J.Tarkov, “Human Failure In, Bridge Failure Out ”,
Engineering Case Library report “ECL 270”, Carleton
University, CA
Two “Historic” Bridge Failures
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Quebec Bridge1800 ft. main span, collapsed Aug 29, 1907
Buckling Failure of compression
chord (A9L) –inadequate latticing
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Quebec Bridge Collapse -Findings
• Higher allowable stresses specified
• Underestimated dead load ( 18% +/-)
– Decision to lengthen span by 200 ft.
– Error discovered but accepted
• Financial pressures
• Project Management issues
– Ceding to Consulting Engineer reputation
– Lack of experience on site
– Communication failures
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Second Quebec Bridge - 1917
construction collapse Sept 1914
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Tacoma Narrows Bridge collapse- 1940
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Advancements in suspension bridge analysis (deflection theory)
Williamsburg Bridge
-1903
1600 ft. span, 40 ft.
deep stiffening truss
(Depth: span = 1:40)
Manhattan Bridge -1909
1470 ft. span, 27 ft. deep
stiffening truss (1: 54)
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1920’s -- Highway suspension bridges become practical
Bear Mountain Bridge -1924
1632 ft. spanWurts Street Bridge,
Kingston, NY -1921
705 ft. span
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1930’s--“Landmark” Bridges
Golden Gate Bridge - 19374200 ft. span, d:s = 1: 168
George Washington Bridge -1931
3500 ft. span, d:s = 1: 120
Originally opened with upper level
roadway only, no stiffening truss
d:s = 1: 350
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1930’s: maximize structural efficiency, economy, aesthetics
Plate girder in place of truss for deck stiffening
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Bronx Whitestone
Bridge -1939
-- 2300 ft. span
-- 11 ft. girder
-- d:s = 1: 209
--77 ft. wide, w:s = 1:31
--BWB and other new
suspension bridges withshallow stiffening girders
exhibit wind-induced
Vertical oscillations
--Early retrofits
implemented
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Tacoma-Narrows Bridge--1940
--2800 ft. span--8 ft. girder
--d:s = 1: 350
--39 ft. width, w:s = 1:72
Problem with vertical
oscillations-
Retrofits:
Clamp cable to girder @midspan
Side span tiedowns
Wind tunnel studies initiated
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Lessons Learned
• Lack of understanding of aerodynamics effects
• Extrapolated past design successes
• Economic pressures affecting design
• Emphasis on structural efficiency
• Lack of emphasis on designing to avoid failure
• Inadequate regard to failures of 19th century flexible
suspension bridges
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Impacts of TNB failure
• Intensive research on aerodynamic behavior – Still no unanimous consensus on actual cause
• Buffeting, Vortex shedding, Torsional flutter…
• Wind tunnel tests during design for all cablesupported structures (suspension and cable stayed)
• Ended use of stiffening plate girders
• Stiffening trusses continued to be used until 1970’s
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“Post-Tacoma” new bridges
Tacoma-Narrows Bridge
Replacement - 1950 Mackinac Straits Bridge -1954
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Thousand Islands Bridge -Retrofits
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Deer Isle Bridge retrofits
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Bronx-Whitestone Bridge
retrofits•Tower stays
•Stiffening truss retrofit
•Tuned mass Damper
at midspan
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Bronx-Whitestone Bridge --second retrofit 2007
•Replaced Concrete
deck with Orthotropic
steel deck
•Removed Stiffening
Trusses
• Added lateral bracingto lower flanges
• Added wind fairings
on stiffening girders
•Diagonal stays and
tuned mass damper
remain
Reduce Dead load,
improve torsional stiffness,
improve aerodynamic behavior
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“Recent” U.S. bridge Failures of significance(and one less significant failure)
• Last 30 years
• Had Significant impact on Federal and State agencybridge management and safety practices
• NTSB findings and recommendations
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Silver Bridge collapse
• Collapse initiated by eyebar fracture
– Initiated at a crack• Stress corrosion cracking
– High residual stress
– corrosion fatigue
At time of design these phenomena werenot known to occur with materials and
conditions present.
– Higher traffic loads than when
originally designed – New high strength steel had low
toughness
• Flaw was inaccessible to inspection
• Lack of Redundancy
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Silver Bridge Collapse
consequences
• Burning Question : How many other bridges canhave a similar fate??
• Resulted in Federal National Bridge Inspection
Standards regulations – National bridge inventory
– Biennial inspections
– Inspector qualifications – Reporting requirements
• New research: fracture mechanics, materials…
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Mianus River Bridge collapse
• Failure of pin and hanger assembly supporting suspended span – Hanger displaced laterally, worked off the pin
– Transferred (eccentric)load to other hanger
– Hanger worked outward, fractured pin
• Underlying causes
– Corrosion- unmaintained
drainage system
– Lack of redundancy
– Skew
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Mianus Bridge Collapse
Consequences
• Fracture Critical Inspection requirements
– Visual “hands on” every 2 years
– NDT methods
• Pin and Hanger inspection NDT methods
improved
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Mianus Bridge Collapse Consequences
New York DOT Response
• Add redundancy to all 2 and 3girder Pin and Hanger bridges
(approx. 24 bridges)
• Over time, these bridges (or
superstructures) have beenreplaced or made redundant /
continuous
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Mianus Bridge Collapse Consequences
New York DOT Response
• Detailed Inspections of 3 and 3 welded girderbridges (hands-on and NDT)
– Found many fatigue prone details, cracks
– Removed flaws, tab plates, drilled out cracks
– Some prioritized for replacement
Lesson – in 1960’s welding
became popular and economical,
however effects of fatigue andunintended structural participation
was not fully recognized.
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A near collapse
Hoan Bridge, Milwaukee, WIBuilt 1970, Failure on Dec. 13, 2000
Brittle fractures that originated
at a lateral bracing system
connection to the girder, where a
horizontal shelf plate intersects atransverse connection plate with
intersecting and overlapping
welds.
2 of 3 girders completely
fractured full depth
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Hoan Bridge Failure
• Connection detail provided high tri-axial
constraint at the web, resulted in very highstress concentration (1.6 x Fy).
• Very small initiating crack in web,
critical crack size not detectable.
• Cold weather contributed to
brittle behavior of steel.
• Steel toughness met spec.
requirements
Hoan Br idge Forensic I nvestigation,
Failur e Analysis F inal Report;
Federal Hwy. Admin. and Wisconson DOT,
2001
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(The one less significant failure)
New York County Road Bridge Failure -1986
• Significant section losson trusses ( up to 50%)
• Lack of redundancy
• Excessive dead load:
– Timber deck replaced bya steel pan deck with
asphalt
– 50 psf from 20 psf
• Shows importance
of load ratings
• Bridge should have
been closed
200 ft. deck truss span – one lane bridge
Load posted for 8 tons
Failure initiated by 16 ton truck crossing
the bridge
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Schoharie Creek BridgeNYS Thruway over Schoharie Creek
Built 1954, Collapsed April, 1987
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Schoharie Creek Bridge failure(NTSB Findings)
• Caused by scour undermining pier foundation
– 50 year flood event
– Spread foundations on dense glacial till
– Inadequate rip rap protection
• Inadequate rip rap size
• Damage from prior flood events
• Rip rap not maintained
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Schoharie Creek Bridge failure
• Contributing
causes- Lack of:
– Redundancy
– ductility in piers
– resiliency
f
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Schoharie Creek Bridge failure
Follow Up Actions in NY
– Improved hydraulic and scour evaluations
• Post flood inspections
• Flood warning action plan
– Bridge Safety Legislation• Uniform Code of bridge inspection
– Codified inspection requirements
– Structural integrity evaluations
• NYSDOT oversight of Authorities, local owners• NYSDOT authority to close unsafe bridges
– Priority given to bridge inspection program
S h h i C k B id f il
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Schoharie Creek Bridge failure
Follow Up Actions in NY
Bridge Safety Assurance (BSA) Initiative
– Program of assessment of bridges’ vulnerability
to structural failure due to their inherent
characteristics or due to extreme events – Assessments are made for individual failure
modes
“Identify causes of failure beyond condition”
(Why do Bridges Fail?)
Bridge Failures in the US: 1966 2005
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Bridge Failures in the US: 1966-2005
“Cause of Bridge Failures from 1966 to 2005”
Figure courtesy of J-L Briaud, Texas A&M University
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NYSDOT Bridge Failure Database
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• Sytematic evaluations of bridges based on individual
failure modes.
Hydraulics Steel Details
Overload Concrete Details
Collision Earthquake
• Evaluate statewide bridge population:
Screen Assess Classify
• Vuln. Classifications consider failure likelihood andconsequence.
• Evaluation data needs collected during bridge
inspections
NYSDOT Bridge Safety Assurance Initiative
Vulnerability Assessments
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• Scour repairs
• Steel Detail Retrofits
• Add Redundancy
BSA Retrofits
Vulnerability score may
influence rehab / replace
decision
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I-35W over Mississippi RiverBuilt 1967 , collapsed Aug 1, 2007
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• Inadequate load capacity of gusset plates at U10 joints,
attributed to design error• Substantial increases in weight of the bridge from prior
modifications
• Concentrated construction loads combined with traffic
I-35W over Mississippi River
NTSB Findings
I-35W over Mississippi River
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I-35W over Mississippi River
Inadequate Gusset plate thicknesses at U10 and L11
(NTSB) Contributing Cause: Failure of designer Quality
Control Procedures
Deficiency seems “evident” in hindsight.
Lesson: Design errors can slip through.
NTSB
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I-35W over Mississippi River
Bowed gusset plates suggested problem for further investigation.
NTSB
(NTSB) Contributing cause: Inadequate attention to gusset plates by
transportation agencies during inspections.
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I-35W over Mississippi River
Response by DOT’s and FHWA
• Inspections of all non-redundant deck truss bridges
(How many other bridges can have a similar fate?)
• Guidance on construction loads and stockpiling on bridges
• Gusset plate analysis
– Include gusset plate analysis in load capacity evaluations
– Evaluate gusset plates on all bridges that have undergone a substantial
change in load.
• Gusset Plate Analysis Research – NCHRP 12-84
• FHWA Advisory on non-destructive testing of gusset plates
I-35W over Mississippi River
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I 35W over Mississippi River
NYSDOT actions
• Inspected 50 deck truss bridges in NYS
• Analyzed Gusset Plates on 133 Trusses that had undergone asubstantial change in load.
• Developed analytical tools for gusset plate design and load
capacity checks (LFD and LRFD)
•Did not find design errors
similar to I-35W
•Found problems due to
deterioration
•Developed gusset repair and
replacement procedures
•Closed / replaced 1 bridge
due to gusset evaluations
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Failures Caused by Extreme Events
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Failures Caused by Extreme Events• Earthquakes
• Collisions
– Vessel – Vehicle
• Storm surge
• Fire
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Failures Caused by Extreme Events
Lessons learned result in improved design
specifications, detailing practices
– Seismic research,
– AASHTO seismic specifications
– AASHTO Guide specs. for Vessel Collision
– AAHSTO Guide specs. For Bridges Vulnerable to Coastal Storms
--NCHRP 12-85:Highway Bridge Fire
Hazard Assessment
--NCHRP 12-72:
Blast Resistant Highway
Bridges- Design and
Detailing Guidelines
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Failures during Construction
When a bridge may be
most at risk to a
structural collapse.
Failures during Construction
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Failures during Construction
Rt 470 / I-70 overpass, Golden CO; May 15, 2004
Probable Cause of Failure (NTSB Report):
―Failure of temporary bracing system due toinsufficient planning….‖
Contributing causes:
--girder installed out of plumb.
--inadequate standards for temporary bracing
--inadequate oversight
“Only ifs “ ---Problem reported by passerby, but miscommunication occurred.
---Subsequent girder erection was delayed
(NTSB) Recommendations / Lessons:
Improve standards for temporary works and erection procedures (FHWA, State
DOT, AASHTO, OSHA)
-Prequalification
-Submit written plan, dwgs.
-Certified by a P.E
Failures during construction
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Failures during construction
Potential Issues
• Bridges are often in their most failure vulnerable
state during construction
• Considering construction states during design
– Design focuses on completed structure in service
– Specs may be vague in addressing construction states• Division of responsibility between designer and
contractor/erector.
– Designer responsibility for a constructible bridge
– Contractor responsible for means and methods for
construction.
l d
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Failures during construction
Lessons
• Must provide a constructible design – Contract documents show one feasible method of
construction (plans or notes)
• Design specs shall address constructability
– Design loads, limit states during construction
• Structural construction operations shall be designed,
certified by a P.E., submitted for approval
– Temporary structures, temporary works – Erection Drawings
– Structural lifting
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Questions?
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Bridge Failures - Lessons learned
Recent NYSDOT Bridge Failure Investigations
George A. Christian, P.E.
Director, Office of StructuresNew York State Dept. of Transportation
Bridge Engineering Course
University at Buffalo
March 29, 2010
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4
Structure Layout (looking east)
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5
Overview of Failure
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6
High Rocker Bearings
History of Misalignment of High
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7
History of Misalignment of High
Rocker Bearings at Pier 11
1987Inspection
Temp. @ 45 °
1999Inspection
Temp. @ 70 °
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8
2003 Inspection – Span 12 East Bearing
Temp @ 45 F
Lifted 0.25 ft.(3 in.) - Eccentricity = 3.4 in.
How did the bearings get misaligned?
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9
How did the bearings get misaligned?
Superstructure Displacements:
• Survey of adjacent piers (w/ fixed bearings) – Pier 10 displaced north 1.6 inches.
– Pier 12 displaced north 1.0 in (avg.) 1.7 inches oneast side.
• History of Pier 13 joint
– Joints ‘reset’ (vertical) in 1990
– Joint was closed in 1990
– Closed in 1995 thru present
• Longitudinal forces due to braking, centrifugal force
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Condition of Rocker Bearings• Susceptible to corrosion, debris when continually
tilted
• Corrosion, debris prevents rocking back towardvertical
– Under rocker – Pin corrosion
• Contact surfaces flatten or “dish”
• Result: Bearings become resistant to horizontal
movement, especially back toward being plumb .Transfers longitudinal forces to substructure
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11
Corrosion &
Flattening
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13
Rocker and Pintle Corrosion – Span 11
Bearing
Pier 11
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Pier 11
• Height: 82.3 feet
• 13.9’ x 6.44’ at
base
• 9’ x 4’ at top of
stem
• Stem rebar: 46 -
# 8 bars
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Pier 11: Lack of Elastic Range
• Cracks 40 ft. upnorth face
• Rebounded51/2 in. when‘released’
• The pier failed
in flexure
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Comparison of Adjacent Piers
PIER
NO.
HGT. BASE REINFORCING STEEL
No.-Size Bars Area
BEARINGS
FIX OR EXP
9 67.47’ 131.4” x 71.2” 42 - # 8 33.18 Fix - Exp
10 72.79’ 132.6” x 72.6” 36 - #11 56.16 Fix
11 82.31’ 166.6” x 77.3” 46 - # 8 36.34 Exp - Exp
12 83.38’ 155.3” x 77.6” 42 – #11 65.52 Fix
13 84.75’ 156.4” x 84.2” 42 - #11 65.52 Exp - Exp
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Pier 11 Design Check
• Designed per 1965 AASHO code
• Meets strength req. for code assumptions
– Allowable / Actual ratio = 0.98 =1.0 (OK)
• No provision for large flexural displacements
• Equivalent Column with 1% reinforcing.
R lt f Pi A l i
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Results of Pier Analysis
• Limited elastic range - yields at 5.5” deflection
• Cracking at 2.5” deflection
• No capacity increase beyond cracking
Old Pier 11 (AC-12)
0
20
40
60
80
100
120
140
160
0 5 10 15 20
Longitudinal Pier Cap Displacement [in.]
L o n g i t u d i n a
l P i e r C a p
F o r c e [ k i p s ]
f’c=9
210psi
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Forces Needed for Failure
• Thermal: limited by resistance of bearing
– Up to 0.58 x Dead Load if sliding assumed: approx.
200 kip from Span 12 only
– Limited range of movement• Corrosion Build-up:
– Develops horizontal component of vertical dead, live
load reactions
– Larger range of movement
Probable Failure Sequence
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Probable Failure Sequence
• Bearings tilted to north > 20 years ago
• Bearings begin to resist horizontal mov’t.
• Superstructure longitudinal displacements began tomove pier instead of Span 12 bearings
• Bearings resist movement moving back toward vertical – Increased southward tipping of Span 12 and 11 bearings
• Instability point reached – bearings tipped
• Forces (displacements) sustained to deflect pier 16 +
in. (bearings tipping and spans falling on tippedbearings)
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U d l i C f F il
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Underlying Cause of Failure
1. Rocker bearings becoming misaligned
2. Rocker bearing not functioning properly
3. Pier 11 was flexible in direction longitudinal
to the bridge
4. Pier 11 stem was “lightly” reinforced, and
not elastically ductile
• 1, 2 and 3 were required for failure to occur.
4 may have been required, but contributed
to extent of failure
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Follow up actions
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Follow up actions
• Reviewed all high rocker bearings with lowinspection ratings (CR 3 or less)
• Inspected those overextended
• Preventive interim retrofits – bolsters
• Technical Advisory: INSP 05-001
Follow up actions
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Follow up actions
• Bolsters installed as an extraordinaryprecautionary measures on 10 bridges
• Alerted other owners of bridges not underDOT’s inspection jurisdiction
• Corrective action: – Dunn Complex, bearing replacements
Marcy Pedestrian Bridge Collapse
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y g pOctober 2002
South Abutment
North Abutment
Bracket
Field Splice
Span = 171 ft.
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Acknowledgements
• Sponsored by New York State DOT
• P.I.—Weidlinger Associates, Inc.
• Material testing and weld inspections byATLSS Research Engineering Center, Lehigh
University
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Tub Girder Cross Section
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Tub Girder Cross Section
Intermediate
Diaphragm
14.0 ft (4.27 m)
6 . 3
f t ( 1 . 9
3 m )
4.3 ft (1.3 m)
Collapsed Bridge
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Collapsed Bridge
North Abutment
South Abutment
Screed
Collapsed Bridge
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Collapsed Bridge
South Abutment
Exp. Bearing
Collapsed Bridge
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Collapsed Bridge
North AbutmentFixed Bearing
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2. Review of Bridge Design
Objective: Evaluate the adequacy of the
bridge design
2 1 D i C d
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2.1 Design Codes
• NYS Standard Specifications for Highway Bridges withprovisions in effect as of April 2000.
• AASHTO Standard Specifications for Highway Bridges, 16th
Ed. LFD (1996) with 1997, 1998 & 1999 interim
• · AASHTO Subsection 10.51 Composite Box Girders (LFD) ….
“This section pertains to the design of … bridges of
moderate length supported by two or more single cell
composite box girders…..”
2 3 Finished Bridge
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2.3 Finished Bridge
• Design assumption: Two I-girders
• Conclusions: The bridge, as designed, would have been
sufficient to resist its design loads if it had survived itsconstruction.
2 4 During Construction
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2.4 During Construction
Failure Modes:
• b/t of top flange;
•
Top flange buckling(between
intermediate diaphragms)
• Global Torsional buckling
Intermediate
DiaphragmTop
Flange
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3. Analysis of Bridge Failure
Objective: To find and prove the cause offailure
3.1 Deck Construction Facilities:
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Metal Form
Angle
Bottom Flange
Bracket
(3' apart)
Form/Catwalk
Tie-rod
(4' apart)
Web Concrete
Top Flange
Web
Hanger West
Operator
Drum
C.L. Bridge
Engine
Screed
East
3.3 Elastomeric Bearings
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Top
Top Steel Plate
Bottom Steel Plate
Elastomer Steel
Plates
a). Expansion Bearing
Top Steel Plate
Bottom Steel Plate
b). Fixed Bearing
Steel Pin
k ESk ES
k EC
X
Y
Z k BRG=k ES+k PIN
k FS
k EC
X
Y
Z
FD
Nonlinear Spring
k PIN
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3.5 Global Model
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End
Diaphragm
Top Flange
Top Flange
Web
Diaphragm
Strut
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SW+DL (rebar, form, etc.)Concrete Screed
Steel girder
North
Abutment
-10.0
-9.0
-8.0
-7.0
-6.0
-5.0
-4.0
-3.0
-2.0
-1.0
0.0
0.0 10.0 20.0 30.0 40.0 50.0
Concrete Pour Length, m
G i r d e r R o
t a t i o n ,
D e g r e e
As-built
As-designed (ideal)
Y
Rotation
42'
105'
3.6 Analysis Results
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3 9 Form Connection Model
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F
Fixed Boundarya
Weak Form: a=1/2" (12 mm)Fy = 40 ksi (275 MPa)
Strong Form: a=3/4" (20 mm)Fy = 45 ksi (310 MPa)
3.9 Form Connection Model
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Y
3 11 F R t ti C
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-10.0
-9.0
-8.0
-7.0
-6.0
-5.0
-4.0
-3.0
-2.0
-1.0
0.0
0.0 5.0 10.0 15.0 20.0 25.0 30.0 35.0 40.0 45.0 50.0
Concrete Pour Length, m
G i r d e
r R o t a t i o n ,
D e g
r e e
As-designed (ideal),
No form
As-built
No form
Strong form,
as-built
Weak
form,
as-built
42' 82'95' 105'
Rotation
3.11 Force-Rotation Curve
4. Demolition
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4. Demolition
• Remove debris safely;
• Sample materials;
• Preserve evidence
Temp. Support
Cut Location
Objectives
5. Laboratory Testing
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5. Laboratory Testing
• Verify Analysis Assumptions
• Check whether materials conform to contract specifications
Objectives:
5 1 Form Connection Tests
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0
2000
4000
6000
8000
10000
12000
0 2.5 5 7.5 10 12.5 15 17.5 20 22.5 25
Lateral Deformation, mm
F o r c
e ,
N
Force-Deformation Curve
of Form Connections
Strong Form Model
Weak Form Model
Lab Results
5.1 Form Connection Tests
Form connection test
Gage 12
Steel PL
Form
Screw
5 1 Form Connection Tests
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0
2000
4000
6000
8000
10000
12000
0 2.5 5 7.5 10 12.5 15 17.5 20 22.5 25
Lateral Deformation, mm
F o r c
e ,
N
Force-Deformation Curve
of Form Connections
Strong Form Model
Weak Form Model
Lab Results
5.1 Form Connection Tests
Form connection test
Gage 12
Steel PL
Form
Screw
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b. Bearing Model
Fixed Boundary
a. Damaged Fixed Bearing
5.2 Bearing Inspection
6. Conclusions
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• The bridge failed in a global torsional mode;
• Stay-in-place forms greatly delayed thecollapse, but were not strong enough to
prevent it;
• Progressive failure of form connections thatinitiated the failure sequence
• The bridge would have buckled even if thetwo deck haunches were identical
7. Recommendations
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• Clarify applicable codes;• Add a new code provision that requires full
length lateral bracing to be installed between
top flanges unless proven unnecessary byanalysis
8. NYSDOT Actions
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• Reviewed similar ongoing projects in NYS.
• Required bracing systems for similar bridges in
NYS—(NYSDOT “Blue Page”)
• Sought recommendations from AASHTO
regarding code revisions.
AASHTO LRFD Specs. – 3rd Edition (2004)
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• Art. 6.11: Provisions for single or multipleclosed-box or tub girders
• Art. 6.7.5: Lateral Bracing
– 6.7.5.3: Top lateral bracing shall be providedbetween flanges of individual tub sections. Theneed for a full-length system shall be
investigated…
– If a full length lateral bracing system is not provided, the local stability of the top flanges andglobal stability of the individual tub sections shall
be investigated for the assumed construction
sequence
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Application to I-Girder Bridges
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Application to I Girder Bridges
Application to I-Girder Bridges
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Twin I-Girders: No bottom lateral bracing
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Twin I-Girders: No bottom lateral bracing
Iyy = 15,470 in^4 Izz = 472 in^4
Twin I-Girders: With bottom lateral bracing
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Centroid @ +19.96”
Shear Ctr. @ -19.06” Izz = 472 in^4Iyy = 296,426 in^4
Twin I-Girders: With bottom lateral bracing
Twin I-Girders: With bottom lateral bracing
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LTB with Non-linear Plate Model
0.0
0.5
1.0
1.5
2.0
2.5
0.0 20.0 40.0 60.0 80.0
Transverse Displacement at Midspan [in.]
D
e a d
L o a d
F a c t o r
Twin I Girders: With bottom lateral bracing
6
Twin I-Girders: No bottom lateral bracing
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LTB with Non-linear Plate ModelNo Lateral Bracing
0.0
0.5
1.0
1.5
2.0
0.0 20.0 40.0 60.0 80.0 100.0
Transverse Displacement at Midspan [in.]
D e a d
L o a d
F a
c t o r
11
Twin I Girders: No bottom lateral bracing
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Twin I-Girder Behavior--summary
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• More stable than open tub girder.• Lateral or lateral-torsional behavior (vs. global torsional)
• Bottom lateral system effective for lateral resistance
• Consider top and bottom laterals for long, narrow spans
• No “spec-ready” equations for checking global behavior(Single Tubs or Twin-I systems)
Dealing with a bridge failure
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• Expect your inspection program to come underscrutiny
• Expect safety of other bridges to be questioned
• Expect requests for data on failed bridge and otherbridges
• Establish point of contact for all media questions.
• Make “public” info. Easily available –
Dealing with a bridge failure
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• Work with your lawyers, (but do not expect them toalways have the same priorities).
• Establish protections for privileged material, e.g.
ongoing investigations.
One Final Lesson
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The Paradox of Failure
“When it comes to bridge
design, collapse is a most
reliable teacher.”
Henry Petroski
“Success Through Failure; The
Paradox of Design”
Questions?
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