Parametric Design of AT&T stadium
by Azeemuddin
About the Project
AT&T Stadium, formerly known as Cowboys Stadium, is a city-owned
85,000-seat capacity stadium with a retractable roof in Arlington,
Texas, United States. The maximum capacity of the stadium with standing
room is 105,000. It marks the largest stadium in the NFL in terms of
seating capacity. It was completed and opened to public in May 2009.
A pair of nearly 300 ft (91 m)-tall
arches spans the length of the stadium dome of 1290 ft, anchored to the ground at each end is what makes this stadium a structural antique. Adding to that it has a Retractable roof which can make the ambiance inside the stadium indoor or outdoors as and when required. With two glass doors which apparently are the biggest in the world is another of many exquisite features of this eye pleasing structure.
Photo credits: Rockwall ISD
Its an worthwhile experience to watch a football game here and the credits go to HKS Inc, who are the Architects of AT&T Stadium. The Retractable roof was designed by Walter P Moore. There is a clerestory window which provides way
for the sunlight to enter the stadium. This window surrounding the stadium gives
the feeling that the dome is floating. The features mentioned above are few of those which drove me to design the skeleton of the stadium using Revit Architecture. I was puzzled to notice the control that Revit provides in maneuvering the external skeleton and I was proved correct after actually putting all of the components in place after given the ability to control the size and shape using Parameters in Revit. The external facade of the stadium changes with the daylight and that is something which we will keep aside for time being and we can attend to that later in this Course using Dynamo.
Getting into the details of the methodology adopted to set the parameters, unlike any other stadium, which can
be created by sweeping the exterior facade and the interior
seating would not suffice the modeling of AT&T stadium as there are many
other exquisite features which compelled the creating different parametric
families and load them in a Giant family linking the individual families
together para-metrically
The individual
families that were created were.
- Two Arches
- Exterior face
wall.
- Sliding doors
- Retractable roof
- Dome
- Window
- Seating
- Giant Family
Lets discuss in detail how the
above families were created and how can they be controlled by using parametric
equations.
1. Two
Arches:
Two half ellipses were drawn as reference lines in two different
planes parallel to each other. The dimension between the two planes
was parametric and which would ultimately define the width of the stadium.
Later, a reference point was hosted on the elliptical lines and rectangular
cross-section, length and breath of which were parametrically driven, was drawn
and swept all along the reference line. This was the easiest!!! Curtain panels
resembling a structural truss were created and loaded into the Arch family as
shown below.
Fig 1: Arch family with curtain panels
Fig 2: Curtain Panel for Arch family
2. Exterior Face-Wall
The exterior wall of the
stadium comprises of half elliptical conceptual mass whose thickness,
height and the extremes of the ellipse(semi-minor axis) are parametric. The
ellipse controlling the mass of the face wall changes with periphery of
the dome, see below for dome family, and for the better control over the
ellipse, use of spline over 5 reference points was adopted. Three points para-metrically driving the ellipse would cause irregularities. Hence 5 points
with a spline was a better idea. So the five points can be parametric if 'a'
and 'b' are known.
Fig 3: Basic idea for parameters
Fig 4: Face-wall conceptual mass
Fig 5: parametric Equations for Face wall
3. Sliding
glass doors
Apparently, AT&T stadium has the biggest glass sliding doors in the world. So, to miss on that would be in just. However, sliding doors were create in a generic family template and
by
extrusion.
Fig 6: Plan view and Reference planes for Sliding doors
Fig 7: Parametric equations of the door.
4. Retractable
roof
Another exquisite feature of AT&T stadium is the Retractable roof
which opens and closes when required. The complication in creating a mass roof
which opens and closes as and when required is that the elevation of the
stadium is elliptical; the radius of curvature changes along the ellipse.
Adding to that, with change in the stadium dimensions the ellipse would change
as well. Icing on a cake!! The solution to the above problem was to create
explicit ellipse point family. What is explicit ellipse point family?? Its a
point family which defines a point of the ellipse. An ellipse or a part of an
ellipse can be created by plotting consecutive point families and joining them
using adaptive component. Following the idea, a point family was created as
follows
Fig 8:Explicit Point family
Fig 9: Parameters dialog box for point family
As in
above dialog box, we can notice a parameter 'n' which defines the point on the
ellipse. For example, if n=9, then the point would be at (0,b) co-ordinate,
where b is the length of semi minor axis of the ellipse. Moving on, three point
families were uploaded in a conceptual mass family with consecutive points (say
n=9,8,7). Then an adaptive component using three reference points was created
and uploaded in the mass family which consisted of 3 points on ellipse.
Fig 10: Adaptive component for Retractable roof
Fig 11: Adaptive component placed on 3 consecutive elliptical points
With change in the parameter 'n' as shown in the
dialog box above, the roof can be moved accordingly.
5. Dome
The Dome of AT&T
stadium is the most enticing ones in the market. Its just so eye pleasing. The
plan view of the dome is in the shape of 'American' Football. The dome rests
upon the two arches and at a certain height. The height of the arches and the
base height of the dome are the determining factors for the shape of the dome.
The basic idea to contour the dome is shown below.
Fig 12: Basic idea of dome elevation design
Fig 13: Reference lines for dome family
Fig 14: 3D view of Dome
Fig 15: Elevation view of the Dome
1. 6. Window
In between the Dome and
Face walls there is a window which is the only source of natural ventilation
and sunlight. The window was created using half ellipses on two reference
planes inclined to each other and curtain panels were inserted.
Fig 16: Window with Curtain Panels
7. Seating
For the stadium seating, sweep along a rectangle with
curved corners was used.
Fig 17: Seating elevation(Reference lines)
Fig 18: 3D seating sweep
8. Stadium family(Giant Family)
All of the 7 individual families where uploaded into a
Giant family and the individual family parameters were linked with each other
to a family parameter of the Giant family.
Few of the
links provided are as follows.
- Height of the
stadium=Height of the Arches
- Length of the
Exterior Facewall = Length of the dome
- Length of window
= Interior Face wall length
- Height of the Facewall = Base offset of the dome.
- Height of the
dome = Height of the stadium - Height of the face-wall.
- Angle of
inclination of window = Angle of inclination of ends in dome.
- Seating height =
Face-wall height.
Fig 20: Door and Roof Open
Fig 21: Door and Roof closed
Fig 22: Wall height and Stadium length flexed
Fig 22: Stadium width flexed
Fig 23: Arch height flexed
Fig 24: Passed Material parameters
Note: The colors are not realistic; to notice the changes distinctly.
Renderings:
Fig 25: Interior rendering
Fig 26: Exterior Rendering
Fig 27: Exterior Rendering-2
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