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| In order to make a platform with two front-corner
wings appear as if it was floating, Yale School of Drama
graduate student Andrew Plumer created this 3-D beam
design (upper left) with ALGOR抯 Superdraw III finite
element modeling tool and then performed linear static
stress analysis on it (lower right) to verify its sturdiness.
(Model courtesy of Andrew Plumer, Yale University School
of Drama.) |
YALE UNIVERSITY SELECTED ALGOR FOR STUDENTS TO DESIGN AND
ANALYZE THEATRICAL SETS
In the theater, realistic scenery helps actors bring an
author抯 work to life by placing them in the world of the
story. What would A Midsummer Night抯 Dream be without
a forest, or Romeo and Juliet without a balcony?
Students in the Yale University School of Drama抯 Master
of Fine Arts (MFA) program for Technical Design and Production
learn how to apply technology to the art of simulating dramatic
settings. With only eight weeks to work on each production,
students must budget for, draft and build designs that unite
technical and aesthetic concerns to best represent surroundings
for the players. In order to streamline the design workflow,
Yale students use ALGOR software to model and analyze their
designs.
For a production of The People vs. The God of Vengeance
staged in the Yale Repertory Theatre in Spring 2000, MFA
student Andrew Plumer faced the challenge of creating a
platform that appeared to be floating, with a wide center
section and a wing in each of the front corners of the stage.
"The scenic designer [Tobin Ost] didn抰 really want to see
any support structure," Plumer said. "And the tricky part
is that the only way in and out of the Repertory Theatre
is through a door that抯 4 feet by 9 feet, 6 inches ?every
piece of the set has to fit through that door, so it抯 not
all one, solid piece."
Plumer learned to use the ALGOR software for Windows NT workstations,
as well as AutoCAD modeling software, in his program抯 biannual
Finite Element Analysis (FEA) class. For this project, he
created an FEA model consisting solely of 3-D beam elements
with ALGOR抯 Superdraw III finite element model-building tool.
Plumer then performed linear static stress analysis on several
design iterations.
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| The platform for The People vs. The God of
Vengeance spanned the stage and included a wing in
each front corner, and it was constructed and lit to
appear as if the entire structure were floating. "It
was largely successful once it was lit for the performance.
You couldn抰 really see the legs from the audience,"
according to platform designer Andrew Plumer. (Photo
courtesy of Eugene Yang.) |
The main design consideration was for the weight of the
structure. The platform and substructure had to be lightweight
for construction manageability and because most of the material
would be suspended to simulate floating, but they still
needed to be sturdy so actors would feel safe and the structure
would not collapse.
Plumer explained that, "Optimization is a new science to
theater engineering," when describing the loading applied
to this design. On this platform there would be at most
four performers, two in the center and two on either of
the wings for a fairly even weight distribution. The design
criterion used was L-over-360 for deflection in the center
of the span, and Plumer anticipated 300 pounds on the wings
and 300 pounds per person at various locations in the center,
using distributed loads to mimic the pounds-per-square-foot
loading he needed to exert on the structure.
Plumer considered the worst stresses and the deflection in
evaluating analysis results for the worst scenario. His final
model predominantly used 1?quot; by 1?quot; by 16-gauge steel
box tube for the upper platform, 2" or 3" by 1/8" long structural steel box tube
for anything vertical and smaller trussing members of 1" or
1?quot; steel box tube to fit between the structure抯 legs.
"There was a center span with four independent trusses bolted
together with cross trusses; two side 憌ings? which were separate
pieces about a foot thick each; and the superstructure, legs
and such, with four or five pieces for each side of the stage,
all bolted and welded together on site. The structure抯 total
weight was about 2000 pounds."
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| This black and white composite shows scenes from
The People vs. The God of Vengeance arranged
to illustrate how Plumer抯 platform seemed to be floating
over the stage for the performance. (Background photo
courtesy of Eugene Yang; superimposed performance photos,
stage and platform levels, courtesy of T. Charles Erickson.)
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In regard to how ALGOR helped him design the "floating"
platform for The People vs. The God of Vengeance,
Plumer said, "It was largely successful once it was lit
for the performance. You couldn抰 really see the legs from
the audience." He also said that ALGOR aided him in designing
theatrical sets able to be loaded through the narrow doorways
so often found in theaters. "ALGOR helps you break set designs
down into manageable pieces ?I think no one piece weighed
more than a couple hundred pounds."
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