Federal Highway Administration (FHWA) - Long-Term Bridge Performance (LTBP) Program
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Announcement - Selection of Bridges for Mid-Atlantic Prestressed Concrete and Steel Multi-Girder Bridge Clusters
Selection Procedure for Reference and Cluster Bridges
For questions or comments contact:
Robert Zobel (202) 493-3024 or email at
robert.zobel@dot.gov
Bridge Selection Approach - General Steps
- Filter all bridges in the selected region using high level criteria
- Obtain State prioritization for remaining population
- Sort all remaining bridges into “Design of Experiments” subpopulations based on span length, age and Average Daily truck Traffic (ADTT)
- Compute the normalized distance measure for each bridge, which defines its experimental “power”
- Rank the bridges within each subpopulation based on the distance measure
- Select bridges from each subpopulation based on the distance measure and a set of supplemental criteria
- Examine the distribution of secondary variables
- Iterate until a balance between distance measure, supplemental criteria, and subpopulation variability is achieved
Bridge Selection Process
Step 1 Apply High-Level Filters
All candidate bridges adhere to the following criteria:
- Bridge type (to be examined in the cluster being identified)
- State owned and representative of bridge population
- Service not over a railroad
- Span length between 10 and 50 meters
- Maximum number of lanes is 4
- Maximum Average Daily Traffic (ADT) is 50,000
- Bridge Age - built after 1960
These criteria were set to ensure that sampled bridges are similar to those likely to be constructed in the future, and to avoid excessive costs or access constraints.
Bridge Selection Process
Step 2 Obtain State Prioritization for Filtered Bridge Population
Bridges, which passed the high-level filtering, were submitted to the States within the region for informed prioritization according to the following categories:
Low - Data collection for this bridge is not feasible
Medium - Data collection for this bridge is feasible
High - Data collection for this bridge is a high priority*
*High priority indicates that the State expressed an interest in including the particular bridge in LTBP Cluster
Bridge Selection Process
Step 3 Sort Filtered bridges into “Design of Experiment” Subpopulations”
- Compute the median values of span length, ADTT and age for all remaining bridges
- Sort bridges into a full-factorial Design of Experiment based on whether their span length, ADTT, and age fall above (+) or below (—) the median:
Subpopulation |
Span Length |
ADTT |
Bridge Age |
A |
+ |
+ |
+ |
B |
+ |
+ |
— |
C |
+ |
— |
— |
D |
+ |
— |
+ |
E |
— |
+ |
+ |
F |
— |
+ |
— |
G |
— |
— |
+ |
H |
— |
— |
— |
Bridge Selection Process
Step 4 Compute the normalized distance measure for all remaining bridges
For each bridge, a distance measure was calculated according to the formula:

- This distance measure provides an indication of how “far” the bridge is from the median levels of span length (Mean Span Length – MSL), ADTT, and age for the bridge population
- Bridges with large distance measures to provide more information related to the influence of the primary parameters on bridge performance
Bridge Selection Process
Step 5 Rank the bridges within each subpopulation based on the distance measure
- Rank each subpopulation based on the distance measure
- Large distance measures are desirable for Cluster Bridges since they will allow the influence of primary variables on bridge performance to be uncoupled
- Small distance measures are desirable for Reference Bridges because they are representative of the most common or average bridges
Bridge Selection Process
Step 6a Select cluster bridges based on distance measure and supplemental criteria
Identification of a set of cluster bridges based on iteration of the following procedure:
- Maximize the average distance measure of the set
- Maximize the distribution of subpopulations (groups of span length, age, ADTT)
- Maximize the distribution of State participation
- Maximize the inclusion of “priority” bridges based on feedback from the States
Bridge Selection Process
Step 6b Select reference bridges based on distance measure and supplemental criteria
Identification of a pair of reference bridges based on the following procedure:
- Minimize the average distance measure of the pair
- Select candidates from different subpopulations
- Select candidates from different States
- Minimize access constraints (i.e., low ADT, sizeable shoulders, etc.)
Bridge Selection Process
Step 7 Examine the distribution of secondary variables
- Structural form (continuous versus simple span)
- Rebar coating
- Skew angle
- Deck condition rating
- Superstructure rating
- Substructure rating

Bridge Selection Process
Step 8 Iterate through process until a balanced set of bridges is achieved and independently verify the selection
All reference and cluster bridges were remotely verified for testing suitability using the LTBP Bridge Portal, including:
- Primary and secondary criteria
- Location information
- Access constraints (independently via Google Maps)j
All bridges will be verified via site visits prior to final approval
Bridge Selection Process
Resulting Mid Atlantic Steel and Prestressed Concrete Clusters – Bare Deck Subpopulation

Red Pin – Steel Reference |
Blue Pin – Prestressed Concrete Reference |
Red Marker – Steel Cluster |
Blue Marker – Prestressed Concrete Cluster |