ALGOR SOFTWARE HELPS CIVIL ENGINEERS MAKE HISTORIC BRIDGE
SAFER
| This Photo of the Smithfield Street Bridge was taken in
1889. It shows the unique lenticular truss structure. (Photo courtesy
of the Carnegie Library of Pittsburgh.) |
Mackin Engineering Company Re-engineers Pittsburgh's Famous
Smithfield Street Bridge with Algor Software.
The Smithfield Street Bridge links Pittsburgh's corporate "Golden
Triangle" downtown area with the city's South Side, a bustling
commercial, entertainment and residential district. The bridge,
more than 100 years old, is located a quarter mile from where
the Monongahela and Allegheny rivers meet to form the Ohio River.
A Piece of History
Owned by the Pennsylvania Department of transportation, the bridge
has a number of historic designations including National Historic
Landmark, City of Pittsburgh Historic Landmark and National Historic
Civil Engineering Landmark.
Designed by internationally-renowned civil engineer Gustav Lindenthal,
the unique "lenticular truss" structure of the bridge
causes it to vibrate, which could lead to dangerous structural
fatigue and failure. When the bridge opened in 1883, it was designed
to carry trolley and pedestrian traffic. Lane expansions and other
renovations were performed in 1891, 1911, 1933 and 1975. The most
recent renovation brought the bridge to one lane of traffic in
each direction with the original trolley tracks still in place.
First FEA Experience
The renovation undertaken by Mackin Engineering includes removing
the trolley tracks and providing for three lanes of traffic, with
the center lane changing directions depending on traffic volume.
Since the bridge experiences considerable vibration, Mackin engineers
needed to work with finite element analysis software, which they
had never done before. In addition, they needed to perform extensive
modeling along with dynamic and modal (natural frequency) analyses
to test possible replacement deck designs. Mackin selected Algor
software after an exhaustive search of engineering software products
on the market.
"A number of academic and industry sources referred us to
Algor due to the high quality of Algor products. As first-time
users of FEA software, it was of great importance to us that we
deal with an accessible supplier who was ready to work with us.
Algor provided support throughout every step of the project,"
explains Thomas Riester, chief structural engineer for Mackin.
| Many vibration analyses like the one shown here were run
by engineers from mackin Engineering to make the bridge safer.
|
A Doubting "Thomas" Convinced
"Because this was our first experience with FEA software,
we were somewhat skeptical about how it could help civil engineers,
admits Riester. "But we know that Algor software was a winner
when we performed actual load testing on the bridge for strain
measurement and then put Algor software to the same test. The
software matched and corroborated our field results.
As the Mackin engineers learned, instead of relying solely on
building or structural code, an engineering team using Algor software
can translate the uses, actions and potential vulnerabilities
of a planned structure into a set of specifications that will,
in most cases, go far beyond the code. The engineering team can
employ advanced technology to design and test every critical aspect
of the structure.
| This photo shows construction
work underway on the Smithfield Street Bridge. When completed,
the bridge will carry three lanes of traffic. |
Models with Multiple Element Types
Steve Keller, the Mackin engineer performing the design analysis,
had to examine vibration and natural frequencies. "I needed
FEA software that could perform dynamic analysis to determine
the bridge's behavior under highway loads due to live loads and
frequency of vibration. I used Algor's Beam Design Editor to model
portions of the bridge constructed with beams and trusses. The
deck was modeled using plate/shell elements. The two models were
combined using Algor's COMBSST program to create a single FEA
model," says Mr. Keller.
Two-Phase Analysis
During the first phase, design analysis to determine the bridge's
natural frequencies was performed on the structural models, including
the existing structure and three alternatives. the frequencies
for the first and second modes of vibration (in-plane) were identified
to determine the effect of the proposed heavier floor systems
on the structure frequencies.
The second phase of analysis, a direct integration analysis using
time varying loads, was performed on the structure models to determine
maximum stresses for selected truss members and maximum truss
deflection. A single time-dependent forcing function was developed
to simulate the test truck used during actual load testing. As
a result, the existing structure model member stresses could be
compared to stresses determined from strain gage measurements
to verify model accuracy.
Finding the Best Solution
By using Algor software, Mackin engineers were able to efficiently
look at the existing flooring system and possible replacement
options. In selecting a replacement for the aluminum flooring
system and aluminum orthotropic deck, dating to 1933, Mackin engineers
found that the dynamics of the bridge would be affected little
by the type of flooring system chosen. Therefore, they were able
to select the least expensive system feasible - a filled steel
grid deck - which also required the lowest future maintenance.
Mackin has offices in both Pittsburgh and Mechanicsburg, PA. Its
client base includes the Pennsylvania Department of Transportation
and the Pennsylvania Turnpike commission. With a staff of 100,
Mackin is involved in major highway and bridge products throughout
Pennsylvania.
Copyright © 1994 Algor, Inc. All rights reserved.
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