CURTAIN WALLS AND SEISMIC TREMORS: PERUVIAN ENGINEERS AND
ALGOR MAKE SURE SKYSCRAPERS GLASS FACADE WONT CRUMBLE IN AN
EARTHQUAKE |
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Looking like a gleaming ice sculpture of shiny and
reflective windows on the business inside, curtain walls often give a
building a majestic air. Many times built of aluminum, silicone and glass,
curtain walls look like a fragile first line of defense between the
building and the outside world.
While not particularly delicate structures, curtain
walls are potentially susceptible to building movement from such things as
seismic activity. Architects and designers must be sure that the materials
that make up the fantastic facades will hold up in the event of an
earthquake.
Two men who have some experience with structural
examination of curtain walls are Peruvians Adolfo Galvez and Walter Sheen.
As AGV & Asociados, Galvez and Sheen make their living building
apartment buildings. As a side business, they do structural consulting for
developers and businesses such as the Wiese family in Lima.
Galvez and Sheen chose Algors Accupak/VE to perform Mechanical Event
Simulation and linear static stress software to analyze whether placing a
U.S.-made curtain wall on a Peru-built skyscraper would have fatal
consequences in the event of a significant tremor something in the
range of magnitude 7.
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Curtain walls, like the exteriors on both visible
sides and the curved portion of the Banco Wiese building in Lima, are made
of aluminum/silicone/glass. |
Peruvian Standards Differ from U.S.
The Wiese Group, owners of Banco Wiese, created the largest
financial institution in Peru upon its 1998 merger with an Italian financial
group. Before the merger, however, the Wiese family built a national
headquarters in Lima and enlisted the help of Galvez and Sheen to verify the
durability of the buildings decorative glass and aluminum curtain wall.
The Vistawall Group of Terrell, Texas, prefabricated the wall in the United
States and FAM Peru was the Peruvian contractor. But building codes are
different between the U.S. and Peru, where standards allow greater building
movement under seismic events.
Such movement is called story drift, and is defined as the
relative displacement of a building slab over the floor height beneath it. In
American code, allowable story drift for a building with the specifications of
Banco Wiese is 0.005. In Peru, allowable drift for the same building is 0.007.
Story drift would cause the curtain wall to move at points
where it was attached to the building with an aluminum frame. Between the frame
and the outer glass is a layer of silicone, which deforms with the frame and
keeps the glass from shattering or disconnecting from the frame and falling.
In the end, Sheen and Galvez used Algor software to prove
that the wall would withstand seismic activity as great as 7 on the Richter
scale.
Determining a Safe Shift
Because the curtain wall chosen for the Banco Wiese building
was designed in America to withstand story drift of 0.005, Galvez and Sheen
wanted to see if the extra 0.002 of potential story drift allowed by Peruvian
standards would cause the wall to fail.
Galvez and Sheen figured the distance between slabs at the
floor separation levels (360 cm) and multiplied that by the allowable story
drift (0.007) to determine a prescribed displacement for their analysis.
"For the Wiese Building, the distance between slabs is
360 cm," Sheen said. "The story drift limitation for that kind of
building is 0.007, so we expected a 0.007x360=2.52 cm displacement around an
inch." They used prescribed displacement to account for that motion in
their analysis.
Using Superdraw III, Algors precision finite element model-building tool,
Sheen used thousands of brick elements to create more than 10 models of
different parts of the wall. The models represented the buildings three
distinct sides a vertical wall, a sloped wall and a circular wall. Each
model was tested for in-plane and out-of-plane movement.
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This illustration shows Sheens Algor model of the
curtain wall in Algors postprocessing tool, Superview. The green
section is the wall of the building. The red section is the aluminum frame
of the curtain wall that connects the curtain wall to the building. The
yellow layer is the silicone attaching the aluminum to the glass, which is
modeled in blue. |
Sheen selected three material models from Algors material
model library to build his models. He chose a linear model to represent the
aluminum frame of the wall. To model the silicone that connected the aluminum to
the glass, Sheen picked a Mooney-Rivlin material model. For the glass outer
surface, he used a Von Mises model.
When defining the material properties of his Mooney-Rivlin
material, Sheen remembered training he got at Algor headquarters in Pittsburgh.
It was there that he learned he could determine certain constants for Mooney-Rivlin
behavior from stress/strain curves. He contacted the silicones American
manufacturer. Based on the manufacturers stress/strain information and the
way that data matched up with Algors available material models, Mooney-Rivlin
proved to be the best material model for Sheens analysis.
Sheen found material properties for the glass model at the
Glass Association of North America and used common engineering resources to
define aluminums linear material properties.
Sheen chose Algors Mechanical Event Simulation technology- invented by
Algor to provide a virtual laboratory and eliminate the need to input dynamic
loads by determining the motion, flexing and resulting stresses of a part or
assembly at each instant of an event - because he wanted to simulate on his
nonlinear models the dynamic loads the building would be subjected to in the
event of an earthquake. He wanted to take advantage of Algors contact
elements to check the behavior of the walls support system, namely the bolts
that anchor the wall to the building.
Simulating Seismic Influences
The model built, Sheen performed a linear static stress
analysis to verify the models geometry. Sheen and Galvez agreed that it was
important to make sure their model had no errors in it before running the
Mechanical Event Simulation.
For the linear static stress analysis, Sheen applied wind
loads to the model because comprehensive studies of wind loads meant there was
data against which he could check his results. For boundary conditions, Sheen
fixed the lower points of the model in the spots where the curtain wall would be
attached to the building. The analysis showed Sheen that his model was
geometrically sound.
He then applied a prescribed displacement to the model of
2.52 cm (about 1 inch) for his MES. Galvez and Sheen found some points of stress
concentration in the corners of their model. The findings were consistent with
other studies of curtain walls, Sheen said. The stress was acceptable, mainly
because the load condition, a 7-magnitude earthquake, was a once-in-a-lifetime
event.
When the analysis was complete, Galvez and Sheen used Algors
postprocessing tools to make animated reproductions of their findings. Galvez
and Sheen presented their work with Algor to peers around their country,
including last years National Civil Engineering Congress.
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