Title: MULTIPLE HEAT STRAIGHTENING REPAIRS OF STEEL BEAM BRIDGES
1MULTIPLE HEAT STRAIGHTENING REPAIRS OF STEEL BEAM
BRIDGES
PHD Thesis - Preliminary Examination Keith J.
Kowalkowski School of Civil Engineering Purdue
University
COMMITTEE Amit H. Varma (Chair)-Civil Engineering
(Structures) Mark D. Bowman-Civil Engineering
(Structures) W. Jason Weiss-Civil Engineering
(Materials) Eric P. Kvam-Materials Engineering
2PRESENTATION OUTLINE
- RESEACH PROBLEM STATEMENT
- BACKGROUND
- GOAL, OBJECTIVES, AND SIGNIFICANCE
- RESEARCH PLAN
- Task 1 - State of Knowledge and Practice
- Task 2 - Experimental Investigations of the
Effects of Multiple Damage-Repair Cycles
- Task 3 - Analytical Investigations of the Damaged
and Repaired Beams - Task 4 - Develop Guidelines and Recommendations
- RESEARCH SCHEDULE
- CURRENT PROGRESS AND STATUS OF EACH TASK GROUP
(ORGANIZED AS ABOVE) - WORK REMAINING, TIME TO COMPLETION
- ACKNOWLEDGEMENTS
3RESEARCH PROBLEM STATEMENT
- Heat straightening - cost-effective and efficient
technique for repairing steel members subjected
to damage (plastic deformations) - Most frequently used to repair the steel fascia
beams of bridge girders damaged by overheight
trucks - Heat is applied with an oxygen-fuel torch. Steel
yields at elevated temperatures due to material
expansion and external restraining forces - Significant research has been conducted on the
heat straightening repairs of steel bridges. - Most prior research has focused on development of
empirical equations and guidelines for conducting
effective heat straightening repairs in the field
4RESEARCH PROBLEM STATEMENT
- Heat straightening can be very cost effective as
compared to replacing portions of the steel
bridge - Occasionally, the same fascia beams of steel
bridges are damaged and repaired multiple times
in their service lives - Limited research has been conducted on the
effects single or multiple damage-heat
straightening repairs on the structural
properties, fracture toughness, and
microstructure of typical bridge steels. - Guidelines for evaluating and replacing (if
necessary) steel beams subjected to multiple
damage-repairs are lacking. - Guidelines for evaluating the serviceability and
load capacities of damaged and repaired steel
beams are also lacking
5BACKGROUND
- Prior research on heat straightening has included
the following topics - Developing efficient heat straightening repair
techniques - Experimental studies measuring the plastic
rotations and residual stresses due to heat
straightening - Effects of heat-straightening on the structural
properties of undamaged steel plates
6BACKGROUND
- Limited research has been conducted on the
effects of heat straightening on the structural
properties of damage-repaired steel - Avent et al. (2000a) experimentally determined
the effects of a single damage-heat straightening
repair cycle on the structural properties of A36
steel plates - Plates damaged by bending about the major axis
and repaired using Vee heating patterns - Results indicate that (a) the elastic modulus
decreases by up to 30, (b) the yield stress
increases by up to 20, (c) the ultimate stress
increases by up to 10, and (d) the ductility (
elongation) decreases by up to 30
7BACKGROUND
- Avent et al. (2000a) experimentally determined
the effects on four A36 steel W6x9 beams
subjected to 1, 2, 4, or 8 multiple
damage-repairs - Results indicated that damage-repair cycles
progressively (a) increase sy and su, (b)
increase the ratio of sy to su, (c) decrease E,
and (d) reduce the ductility ( elongation) of
the damaged-repaired steel - The resulting fracture toughness, surface
hardness, and the microstructure of
damage-repaired steel were not investigated - Avent and Fadous (1989) subjected a composite
steel beam to multiple damage-heat straightening
repair cycles - Crack initiated during the fourth damage-repair
cycle leading to a recommended limit of two
damage-repair cycles for the same location in a
steel beam
8BACKGROUND
- Till (1996) determined the influence of elevated
temperatures on fracture critical steel members - A36 steel specimens were heated to specific
elevated temperatures, held for one minute, and
then cooled - Parameters included in the study were the heating
temperature and the cooling method - Results indicated that
- Chemical composition does not change
- Grain size decreases with an increase in the
heating temperature up to 1400?F and then begins
to increase - Fracture toughness increases with an increase in
temperature up to 1400?F and then begins to
decrease - Surface hardness generally decreases due to
elevated temperatures
9RESEARCH GOAL
- DEVELOP RECOMMENDATIONS AND GUIDELINES FOR
EVALUATING AND REPLACING (IF NECESSARY) STEEL
BEAMS SUBJECTED TO SINGLE OR MULTIPLE CYCLES OF
DAMAGE FOLLOWED BY HEAT STRAIGHTENING REPAIRS
10RESEARCH OBJECTIVES
- Investigate the current state-of-knowledge of
heat straightening repair of damaged steel
bridges, and evaluate the heat straightening
procedures, guidelines, and specifications used
by various state DOTs in the U.S. - Experimentally investigate the effects of single
and multiple damage-heat straightening repair
cycles on the structural properties and fracture
toughness of bridge steels - Analytically investigate the effects of damage
and heat straightening repair on the
serviceability performance and load capacity of
fracture critical and non-fracture critical steel
bridges - Develop recommendations and guidelines for
evaluating (and replacing if necessary) fracture
and non-fracture critical steel bridges subjected
to single or multiple damage-repair cycles
11RESEARCH SIGNIFICANCE
- Guidelines are lacking for the maximum number of
multiple damage-heat straightening repairs a
steel member can sustain before replacement - Heat straightening is cost effective alternative
to replacing steel bridge members - Therefore, there is significant research interest
in evaluating the structural properties and
fracture toughness of steels subjected to
multiple damage-heat straightening repairs - Engineers have limited guidance for estimating
the damage strains and net restraining stresses
due to external restraining loads. - Engineers have limited guidance for evaluating
the serviceability and design capacity of
fracture and non-fracture critical members
subjected to damage and repairs
12RESEARCH PLAN
- State-of-Knowledge and Practice
- 1.1 Comprehensive Literature Review
- 1.2 Survey and review of DOT heat straightening
guidelines and specifications - 1.3 Review of heat straightening practice
- Experimental Investigations of the Effects of
Multiple Damage-Heat Straightening Repair Cycles - 2.1 Laboratory-scale experimental investigations
- 2.2 Large-scale experimental investigations
- 2.3 Effects of damage-repair cycles on steel
microstructure - Analytical Investigations of the Damaged and
Repaired Beams - 2.1 Behavior of damaged beams
- 2.2 Behavior of repaired beams
- Develop Guidelines and Recommendations
131.1 LITERATURE REVIEW
- Review of heat straightening topics included in
- U.S. and international journals
- Conference proceedings
- Research reports by DOTs, FHWA, NCHRP
- Theses and dissertations
- Review will summarize
- Current state-of-knowledge on heat straightening
repair of damaged steel members - Effects of single and multiple heat straightening
on steel material properties - Current guidelines for conducting effective heat
straightening in the field
141.2 SURVEY OF DOT GUIDELINES
- Survey form containing seven multiple choice
questions will be sent to DOTs across the U.S. - Goal is to determine the various heat
straightening guidelines and specifications - Focus on multiple heat straightening
151.3 HEAT STRAIGHTENING PRACTICE
- Three heat-straightening repair sites in Michigan
will be visited - Heating temperatures, patterns, and restraining
forces used by the MDOT Statewide Bridge Crew
will be monitored - Effects on the surface hardness and
microstructure will be evaluated - Analyses will be conducted to identify the steel
and beam types most frequently subjected to
single and multiple damage-heat straightening
repairs
162.1 LABORATORY-SCALE TESTING
- Several laboratory-scale specimens will be
fabricated from three relevant bridge steels and
subjected to multiple damage-heat straightening
repair cycles - Damage and repair parameters will be the damage
strain (ed), the restraining stress (sr), the
number of damage-repair cycles (Nr), and the
maximum heating temperature (Tmax) - Several material coupons will be fabricated from
each damaged-repaired specimen do determine the
structural properties and fracture toughness of
the damaged-repaired steels - Results will be compared and evaluated using the
undamaged steel material properties
172.2 LARGE-SCALE TESTING
- Large-scale beam specimens will be tested to
validate the conclusions and recommendations from
the laboratory-scale results (Sub-task 2.1) - Beam specimens will be made from the relevant
bridge steels and each specimen will be tested
according to the heat straightening repair
procedures identified from Sub-task 1.3 - Several material specimens will be fabricated
from the damage-repaired area and tested to
determine the structural properties and fracture
toughness of damaged-repaired steel beams
182.3 MICROSTUCTURE EVALUATION
- Focuses on evaluating the effects of damage and
heat straightening repair cycles on the
microstructures of the relevant bridge steels - Microstructures of the undamaged, damaged, and
repaired (heat straightened) steels from
Sub-tasks 2.1 and 2.2 will be examined (ASTM E3) - Grain sizes and the percentage of pearlite in the
microstructure will be computed (ASTM E112) - Metallurgical theories will be used to explain
the changes in steel microstructure, and thus the
changes in structural properties and fracture
toughness
193.1 BEHAVIOR DAMAGED BEAMS
- Focuses on simulating the damage due to impact of
overheight trucks and evaluating the
serviceability performance and load capacity of
composite steel beams using 3D finite elements - Damage will be simulated by applying
monotonically increasing lateral force to the
bottom flange of the beam - Results will include the plastic strains and the
residual stresses in the damaged beams - The model of the damaged beam will be subjected
to live load (truck) to evaluate its
serviceability performance, namely, deflections,
sway, and stress ranges at fatigue critical
connections - Load carrying capacities will be determined
203.2 BEHAVIOR REPAIRED BEAMS
- Focuses on simulating the heat-straightening
repair and evaluating the serviceability
performance and load capacity of the repaired
steel beams using 3D finite elements - Repair will be simulated by applying the
restraining force to the bottom flange of the
damaged beam, and by applying vee-heats in
specific patterns to the bottom flange of the
damaged beam - The model of the repaired beam will be subjected
to live load (truck) to evaluate its
serviceability performance - Load carrying capacities will be determined
- Effects of restraining stress, location, and
maximum heating temperature on the serviceability
performance and load capacity will be evaluated
214 RECOMMENDATIONS, GUIDELINES
- Results from the experimental investigations
(Task 2) will be used to develop recommendations
for evaluating the structural properties and
fracture toughness of steel beams subjected to
multiple damage-heat straightening repairs - Results from the analytical investigations (Task
3) will be used to develop guidelines for
evaluating the serviceability performance and
load capacity of damaged and repaired beams
22RESEARCH SCHEDULE2002 and 2003
Task Group Task Group 2002 2002 2002 2002 2002 2002 2002 2002
Description May June July Aug. Sept. Oct. Nov. Dec.
Literature Review 1.1 X X X X X X X
Survey Analysis 1.2 X X X X X
Heat Straightening Practice 1.3 X X X
Laboratory-Scale Testing 2.1 P P P P C
Task Group Task Group 2003 2003 2003 2003 2003 2003 2003 2003 2003 2003 2003 2003
Description Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
Survey Analysis 1.2
Heat Straightening Practice 1.3 X X X X
Laboratory-Scale Testing 2.1 C C C E E E E E E E E E
Large-Scale Testing 2.2 P P P
Microstructure Evaluation 2.3 X X X X X X X
X General time spent on sub-task P Planning
C Construction E Experiments
23RESEARCH SCHEDULE2004 and 2005
Task Group Task Group 2004 2004 2004 2004 2004 2004 2004 2004 2004 2004 2004 2004
Description Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
Literature Review 1.1 X X X
Laboratory-Scale Testing 2.1 E/A A A
Large-Scale Testing 2.2 C C E E E E A A
Microstructure Evaluation 2.3 X X X X X X
FEM Heat Straightening 3.2 X X
Develop Recommendations 4 X
Task Group Task Group 2005 2005 2005 2005 2005 2005 2005 2005 2005 2005 2005 2005
Description Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
Microstructure Evaluation 2.3 X X
FEM Damaged Beams 3.1 X X X X
FEM Heat Straightening 3.2 X X X X X X X
Develop Recommendations 4 X X X X
X General time spent on sub-task A Analysis
C Construction E Experiments
24CURRENT PROGRESS AND STATUS
251.1 LITERATURE REVIEW
- 100 complete
- Discussed in the BACKGROUND section of this
presentation
261.2 SURVEY OF STATE DOTs
- 100 complete
- Survey form sent 23 DOTs responded
1) Does your DOT have special provisions and guidelines for heat straightening?
___ Yes (Please provide) ___ No
2) What is the basis for these heat straightening provisions?
___ DOT Research ___ FHWA Research ___ Other (Please provide info)
3) Are these provisions available from the Internet?
___ Yes (Please provide link__________________) ___ No
4) Does your DOT have special provisions for multiple heat straightening of the same beam?
___ Yes (Please provide) ___No
5) Which parameter governs the maximum number of multiple heat straightening repairs of the same beam?
___ No. of repairs ___ Structure type ___ Damage magnitude ___ Combination of parameters
6) How many times does your DOT allow multiple heat straightening of the same beam?
___ One ___ Two ___ Three ___ Four ___Other (Please provide number)
7) Would you be interested in the results of our research project?
___ Yes ___ No
271.2 SURVEY OF STATE DOTs
281.3 HEAT STRAIGHTENING PRACTICE
- 100 Complete.
- Three heat straightening repair sites in Michigan
were visited - In all three cases, the MDOT Statewide Bridge
Crew (SBC) repaired damage to composite beams
damaged by overheight trucks - Heating patterns, temperatures, and restraining
forces were monitored
Lake Lansing Road Bridge Elm Road
Bridge Lansing Road
291.3 HEAT STRAIGHTENING PRACTICE
a) Restraining force apparatus
b) Strip heat to the web
c) Vee heat to flange
d) Several Vee heats to flange
30DAMAGED AND REPAIRED BRIDGE (LANSING ROAD)
1.3 HEAT STRAIGHTENING PRACTICE
- Overheating in the range of 1300-1400?F was
witnessed - The MDOT codes and guidelines were not always
taken into consideration - Cold-working residual stresses were not taken
into consideration
311.3 HEAT STRAIGHTENING PRACTICE
From 1976-2001 corresponding to 183 steel bridges
and 280 repair cases
321.3 HEAT STRAIGHTENING PRACTICE
- CONCLUSIONS FROM DATABASE
- A7 and A373 are the steel types most frequently
damaged and heat straightened in Michigan - The steel types in their order of importance are
A7, A373, A588, A36, and A572 - Structure type 332 (simply supported composite
wide-flange steel beam) is most frequently
damaged and heat straightened in Michigan - Structure types 332, 382, and 432 represent 82
of all repair cases. All three correspond to
composite steel girders
332.1 LABORATORY-SCALE TESTS
- LONG TASK 100 COMPLETE
- Ninety one laboratory-scale specimens were
subjected to multiple damage-heat straightening
repair cycles - Focused on A36 and A588 steels due to the
availability of material as apposed to older A7
and A373 - A36 - closest in chemical compositions as A7 and
A373 - A588 - third most relevant steel type from
database - Some A7 steel specimens were acquired from the
web of a W24x76 steel beam - Test specimen-test areas were damaged by uniaxial
tensile forces and repaired with uniaxial
compressive forces and by applying strip heats - Material samples taken from the test areas to
obtain statistically significant structural
properties and fracture toughness
342.1 LABORATORY SCALE TESTS
- A36 28 Specimens
- Three damage strains (?d) 30?y, 60?y , or 90?y
- Two restraining stresses (?y) 0.25 ?y or 0.50?y
(0.40 ?y or 0.70 ?y for ?d 30?y) - Number of damage-repair cycles (Nr) 1, 2, 3, 4,
or 5 - A588 30 Specimens
- Three damage strains (?d) 20?y, 40?y , or 60?y
- Two restraining stresses (?y) 0.25?y or 0.50?y
- Number of damage-repair cycles (Nr) 1, 2, 3, 4,
or 5 - A7 17 Specimens
- Three damage strains (?d) 30?y, 60?y , or 90?y
- Two restraining stresses (?y) 0.25?y or 0.50?y
- Number of damage-repair cycles (Nr) 1, 3, or 5
- Three maximum heating temperatures
- Overheated A36 16 Specimens
- Two damage strains (?d) 60?y or 90?y
- Two restraining stresses (?y) 0.25?y or 0.50?y
- Number of damage-repair cycles (Nr) 1 or 3
- Two maximum heating temperatures - 1400?F or
1600?F
35TEST SETUP
Concrete Blocks
Top Beam
Test Specimen
Hydraulic Actuator
Split-flow valve
Bottom Beam
Electric Pump
Pressure Gage
Needle Valve
36TEST SPECIMEN DETAILS
A36 and A588 steel
8.00
2.13
3.75
2.13
1.63
3.38
f 1.1875
3.38
16.88
3.75
3.25
46.25
3.75
16.88
3.38
f 1.1875
3.38
1.63
Test specimen thickness 1.00 in.
37CONCLUSIONSSTRUCTURAL PROPERTIES
2.1 LABORATORY-SCALE TESTS
- Multiple damage-heat straightening repair cycles
have a slight influence (15) on the elastic
modulus, yield stress, ultimate stress, and
surface hardness of A36, A588, and A7 bridge
steels - For specimens heated to the recommended limit of
1200?F, the yield stress and surface harness
increase slightly and the ultimate stress and
elastic modulus are always within 10 of the
undamaged values - For specimens heated to overheated temperatures
of either 1400?F or 1600?F, the yield stress and
tensile stress increase more significantly, the
surface harness decreases slightly, and the
ultimate stress and the elastic modulus is always
within 10 of the undamaged values
38CONCLUSIONSDUCTILITY
2.1 LABORATORY-SCALE TESTS
- However, the elongation of damaged-repaired
steel is influenced significantly - The ductility ( elongation) of A36 and A588
steel decreases significantly but never lower
than minimum values according to AASHTO
requirements - The ductility of A7 steel subjected to five
damage-repair cycles is extremely low - The ductility of overheated A36 decreased as well
but to the same magnitudes as A36 steel heated to
the recommended limit of 1200?F
392.1 LABORATORY-SCALE TESTS
CONCLUSIONSFRACTURE TOUGHNESS
- The fracture toughness of A36 steel is much lower
than the undamaged fracture toughness. The
fracture toughness increases for specimens
subjected to higher ed - The fracture toughness of damaged-repaired A588
steel is greater than or close to the undamaged
fracture toughness in several cases. Increasing
the restraining stress reduces the fracture
toughness of A588 steel - The fracture toughness of A7 steel increases for
specimens subjected to higher ed - The fracture toughness of overheated A36 is much
higher than the undamaged toughness. There was
not a significant difference for Tmax1400?F and
Tmax1600?F
402.2 LARGE-SCALE TESTS
- 100 Complete
- Six beam specimens were subjected to three
damage-heat straightening repair cycles - Beams subjected to weak axis bending by applying
concentrated forces at midspan - Similar to damage induced to the bottom flange of
a composite beam impacted by an over-height truck - Two flanges could be used for the removal of
material samples as apposed to one flange - Easier to conduct, control, and repeat in a
laboratory type setting as compared to the
composite beam damage - Repair conducted by applying half-depth Vee heats
along the damaged area of the beam - Results of material testing used to validate the
conclusions and recommendations of Sub-task 2.1
412.2 LARGE-SCALE TESTS
?p 8.5 in ed 90 ey
42MATERIAL COUPSONS FROM BEAMS
- Three flat tensile coupons removed from the back
flange (Flange A) of each beam specimen - Twelve charpy specimens removed from the mid
thickness of the front flange (Flange B) along
the center of Vee heats L1, C, and R1
432.2 LARGE-SCALE TESTS
CONCLUSIONSSTRUCTURAL PROPERTIES
- Damage-heat straightening repair cycles do not
have a significant influence on the yield stress,
elastic modulus, ultimate stress, or surface
hardness of steel (??15) - Damage-repair cycles reduce the percent
elongation (ductility) of A7 and A36 steel - For A588, damage-repair cycles slightly increase
the elongation at the flange edges and decrease
the ductility of material closer to web-flange
junction
442.2 LARGE-SCALE TESTS
CONCLUSIONSFRACTURE TOUGHNESS
- The fracture toughness of an A7 beam subjected to
Nr3 and ed 30ey is much lower than the
undamaged toughness. The mean fracture toughness
of an A7 beam subjected to Nr3 and ed 90ey
compares favorably with the undamaged toughness.
However, some variability is seen in the result. - The fracture toughness of A588 steel increases
significantly. The fracture toughness values were
smaller for charpy specimens closer to the
flange-web junction - The overall fracture toughness of an A36 beam
subjected to Tmax1200?F is comparable to the
undamaged toughness. However, significant
variability exists - The fracture toughness of an A36 beam subjected
to Tmax1400?F increases significantly. The
increase ranges from 101-460 of the undamaged
toughness.
452.3 EVALUATION OF MICROSTRUCTURE
- 95 Complete
- Metallographic investigations were conducted on a
charpy specimen fabricated from each
damaged-repaired laboratory specimen - Each was polished and etched according to ASTM E3
- Grain sizes were determined using the grain line
intercept procedure outlined in ASTM E112 - Metallographic photographs were taken of
undamaged steel, the damaged steel at all three
damage strain levels, and after the
heat-straightening repair of each damage strain
level - Changes in the microstructure were related to
changes in the structural properties and fracture
toughness of steel
46 a) Undamaged b)
After Damage of 90ey c)
After Repair, Tmax1200?F
2.3 EVALUATION OF MICROSTRUCTURE
A36 Steel (240X) a) Undamaged
b) After Damage of 90ey c) After
Repair, Tmax1200?F
A588 Steel (480X) a)
Undamaged b) After Damage of 60ey
c) After Repair, Tmax1200?F
47 a) Undamaged b)
After Damage of 90ey c)
After Repair, Tmax1200?F
2.3 EVALUATION OF MICROSTRUCTURE
A7 Steel (480X) a) Undamaged
b) After Damage of 90ey c) After
Repair, Tmax1200?F
Overheated A36 Steel (480X) a)
Undamaged b) After Damage of 90ey
c) After Repair, Tmax1600?F
483.1 BEHAVIOR OF DAMAGED BEAMS
- FEM Models in development
- High load hits database of Sub-task 1.3 indicated
that 66 of all heat straightening repair cases
in the state of Michigan were on composite
wide-flange beams - Three-dimensional FEM models will simulate the
damage of composite wide-flange beams damaged by
overheight trucks - Results from the analysis will include the
plastic strains and the residual stresses in the
damaged beams - The steel beams (web and flange members) will be
modeled using 4-node S4 shell elements - The concrete deck will be modeled using 8-node
C3D8 solid elements
493.1 BEHAVIOR OF REPAIRED BEAMS
- Analysis in planning
- Models of the laboratory-scale specimens are
being analyzed first due to simplicity in
validating material properties at elevated
temperatures and the heat straightening
applications using finite elements - Limitations of these finite element models will
be noted for further FEM heat straightening
applications - 3D FEM models of the damaged composite
wide-flange beams will be the starting point for
simulating the heat-straightening repair - Repair simulated by applying the restraining
force to the bottom flange of the damaged beam,
and by applying Vee-heats to the bottom flange
50FEM ANALYSIS IN ABAQUS
(A heat flux is being applied to the nodes)
51FEM ANALYSIS IN ABAQUS
524 RECOMMENDATIONS AND GUIDELINES
- Recommendations from the results of Task 2
- Based on fracture toughness and ductility results
of Sub-tasks 2.1 and 2.2, A7 and A36 steel beams
should not be subjected to more than three
damage-repair cycles. Smaller damage strains are
more detrimental to A7 and A36 steel as compared
to larger damage strains - Overheating the A36 steel during the repair
improves its material properties and fracture
toughness significantly. Therefore, it is
recommended to use a maximum heating temperatures
of 1400?F for repairing A36 steel - A588 steel is an extremely resilient material
that can undergo several (up to five)
damage-repair cycles without significant adverse
effects on the structural properties and fracture
toughness - Lower restraining stresses should be used
preferably - Recommendations need to be made considering
fracture and non-fracture critical members
53WORK REMAINING, TIME TO COMPLETION
- Planned graduation is December 2005
- Most of the work remaining involves the
analytical finite element modeling of damaged and
repaired beams (Task 3) - Due to a busy course schedule, this work should
be completed by August, 2005 - Task 1 and Task 2 have been written but the
report still needs to be converted into the
thesis format - The fall semester will be used to make
recommendations and guidelines, finish writing
the thesis, and prepare for graduation
54ACKNOWLEDGEMENTS
- Tasks 1 and 2 conducted within the Department of
Civil and Environmental Engineering at Michigan
State University - Funded by the Michigan Department of
Transportation. The MDOT program manager (Roger
Till) and the research advisory panel are
acknowledged for their help and support
- Significant contribution was provided at MSU by
the following - Jason Shingledecker (MSU Undergraduate Student)
- Siavosh Ravanbakhsh (MSU Civil Engineering Lab
Manager) - Sig Langenberg (Langenberg Machine Products)
- Amit Varma is acknowledged for allowing me to
work on this research project, for his continuous
support in my PhD. studies, and for bringing me
to this University - Mark Bowman, Jason Weiss, and Eric Kvam are
acknowledged as members of my PhD. committee at
Purdue University. Their views and support are
greatly appreciated