Since the design of the United States Pavilion at Expo '70 in Osaka, Japan, research in the United States has concentrated on 'permanent' incombustible fabrics permitting the classification of low-profile air structures and tension structures as permanent buildings within existing building codes. Five low-profile air structures built to date or under construction are discussed in detail by Dr. Geiger, of Geiger Berger Associates, New York.
In extending this system beyond the US Pavilion design at Expo 70, it was necessary to develop a fabric that was permanent and incombustible so as to permit construction within existing United States building codes. The resultant product was also self-cleaning, thus enabling translucency to be maintained.
The material was developed under the sponsorship of the Educational Facilities Laboratories. The final product consisted of Fiberglas Fabric coated with Teflon Fluorocarbon Resin. The coating is a formulated Teflon TFE and or FEP dispersion, which is applied after heat cleaning and a first coat of silicone. The silicone coat prevents wicking of water, which would cause the glass to deteriorate. To the Teflon dispersion is added ten micronglass beads, which both lowers the fabric cost and increases abrasion resistance. The strengths [1] of fabric presently available vary from 200 lbs/in to 1000 lbs/in. For a 600 lbs/in fabric, the translucency can be made to vary from nearly opaque to 18% translucent.
Under accelerated weathering conditions, where 300 hours in a weatherometer is approximately equal to one year of real time weathering, the fabric exhibits the following properties:
Fine testing
Tests are continuing. Fire tests on this material were performed for the Owens-Corning Fiberglas Corporation. The test results are summarized as follows:
1 ASTM E-84 tunnel test and 'Life Safety Code' NFPA-101 surface burning characteristics:
2 Standard Method of Test of Non-combustibility of Elementary Materials, ASTM E-136-65:
3 ASTM Specification E-108 and Underwriters' Laboratory Standard UL-790:
The straightness of the fibers in the warp direction accounts for the linear stress strain curve which mirrors the physical properties of the straight yarn. On the other hand, the fill fibers are kinked around these and must straighten and consequently kink the warp fiber before exhibiting the linear stress-strain characteristics of the base yarn. For bi-axial loading, the stress strain characteristics are non-linear,non-isotropic and vary according to previous stress history.
For fabric structures which are not cable reinforced it is necessary to introduce the elastic properties of the fabric in the structural analysis; while for cable-reinforced structures, the stiffness of the fabric is negligible compared to that of the cables, and the cable stiffness alone is used. The fabricator then accounts for the elastic properties of the fabric in patterning and fabricating the individual panels.
Fabricated in rolls
The brittle characteristics of the glass fabric must be accounted for in the basic design of the structure and the fabrication, packaging and erection of the individual panels. It is preferred to deal with fabricated material shipped to and handled at the site in rolls rather than folded sheets. This is easily accomplished for the low-profile air structures discussed herein. The fabric comes to the site in rolls from 9 m to 12 m (30 to 40 ft) wide and as long as 60 m (200 ft). The fabric is clamped along its edges to the cables of the cable net. In those cases where panels must be folded, it must be done by the fabricator with care and handled in the field so that fracturing of the glass fibers will not occur. The fabric used to date is made from beta yarn, a 3.8 micrometre diameter filament, which is the smallest diameter and consequently the most flexible fiber commercially available.
Illustrations show the various low-profile air structures that have
either been constructed or are under construction and which have been
designed by my firm. Shaded areas represent those where there exist two
layers of fabric for thermal and/or acoustic reasons. Cables,
represented by dashed lines, indicate those along which fabric is not
clamped. The principle of skewed
symmetry is embodied in United States Patents. This principle requires
that the cable directions be parallel to the diagonals of the
superscribed rectangle, so that the ring segments to which the cable
ends are anchored may, for a given roof load, be designed for zero
moment or for a minimum moment. Once the horizontal components have
been established from the conditions of minimum moment, the roof
ordinates are established for the given load case by solving a system of
simultaneous equations generated from conditions of vertical equilibrium
at each cable intersection. Under subsequent load cases, the cable net
distorts and the forces delivered to the compression ring introduce
larger moments which dictate the ring design.
Figures 4a-4e show the ring cross sections corresponding
to the roofs shown. The ring shown in 4d also served as a mechanical
plenum and, for snow melting, hot air is introduced between the fabric
membranes. (The table summarizes information as to structural and
mechanical design and costs.)
For each of these structures the normal internal pressure is 4.5 lbs/f2
(215.1 N/m2). Under high winds only, suction is created on the roof
surface. Consequently, the internal pressure need not be increased for
dynamic stability. The maximum design wind velocity, to date, was 150
mph (240 kph) in Osaka, Japan. The low mass of the roof permits
construction in the most severe seismic zones without modification of
the design.
Snow loads up to 12 lb/ft2 (574 N/m2) may be carried by increasing the
internal pressure. Beyond this load snow must be melted since greater
internal pressures are impractical when one considers the design of
doors and exit wind velocities. In the event of failure of the snow
melting or pressurization system, the roof slowly deflates and hangs
free in the deflated positions.
The solar transmission properties of the roof fabric are summarized as
follows: (Table)
Because of the internal pressure, special care is used to reduce the
exfiltration and maintain airtightness. The horizontal expanse of earth
and structure under the nearly horizontal roof and the large volume of
air within the structure tend to moderate the swing of the day-night
cycle. Computer programs which model the above thermal properties
have enabled us to design mechanical systems with a lower first cost and
lower operating cost than conventional structures enclosing the same space.
It is our belief that future progress will be in the area of design,
where further developments in the membrane material and techniques for
changing the thermal properties will permit a considerable reduction in
the energy required for controlling the environment within the
encapsulated space.
[1]Editor's Footnote: Presumably tensile strength
according to standard textile industry tests on 2 inch strip of
material. A near equivalent commonly used internationally is kilogram
force per 5 cm (50 mm), expressed as 5 cm/kg. Thus 200lb/in = 180 kg 5
cm approx.
Back to text
References
1. D.H. Geiger, "US Pavilion at Expo '70 Features Air-Supported Cable Roof," Civil Engineering ASCE, March, 1970.
Location
United States Pavilion
Osaka, JapanMilligan College
Johnson City, TennesseeSanta Clara University
Santa Clara, CaliforniaUniv. of North Iowa
Cedar Falls, IowaPontiac Stadium
Pontiac, Michigan
Size (m)
138.6 x 78.0
dia. 64.6
90.5 x 59.4
129.2 x 129.2
220.0 x 168.3
Roof rise (m)
7.0
4.8
7.2
14.6
15.2
Cable spacing (m)
6.0
9.0
12.0
12.9
12.6
Cable thickness (dia) (mm)
38.1 to 57.3
38.1 and two 27.0
47.6
73.0
79.4
Fabric material
vinyl glass single layer
teflon glass double, insulated; also single
teflon glass single
teflon glass part double
teflon glass single layer
Wind suction (in lbs/sq.ft.)
30.0
15.0
12.0
12.9
12.6
Wind suction (in N/sq. m.)
1,464.6
732.3
585.9
732.3
732.3
Snow load deflated (lbs/sq.ft)
12.0
20.0
12.0
30.0
12.0
Snow load deflated (N/sq.m)
585.9
976.5
585.9
1,464.6
585.9
Roof weight (in lbs/sq.ft)
1.25
1.0
0.9
1.0
1.0
Roof weight (in N/sq.m)
61.0
48.8
43.9
48.8
48.8
Blower capacity (cu.ft/min)
120,000
130,000
400,000
370,000
3,500,000
Blower capacity (cu.m/min)
3,398
3,681
11,326
10,477
99,109
Maximum no. of people
3,398
3,681
11,326
10,477
99,109
Roof translucency
5,000 (6%)
1,800 (0% and 14%)
5,000 (14%)
18,000 (11% average)
80,000 (8% average)
Building costs
As bid (in US $/sq.ft)
January 1969
March 1973
October 1973
July 1974
February 1974
Ring cost
50
1.77
1.20
2.89
4.00
Roof cost
4.00
6.60
6.47
9.07
7.27
Total
4.50
8.37
7.67
11.96
11.27
HIVAC system
5
4.25
7.27
2.92
3.19
When inflated
November 1969
October 1974
February 1975
July 1975
November 1975
2. Y. Kida, N. Yamashita, and M. Takagi, "Experimental Reports of Air Structure (As the Pavilion of USA for the 1970 World Exposition). IASS Pacific Symposium - Part II on Tension Structures and Space Frames, October 17-23, 1971.
3. Y. Isono and Y. Nakahara, "Fabrication and Construction of US Pavilion Air Structure". IASS Pacific Symposium - Part II on Tension Structures and Space Frames, October 17-23, 1971.
4. "Air Fare" Progressive Architecture, August, 1972.
5. D.H. Geiger, Pneumatic Structures, Progressive Architecture, August,1972.
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