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The Case for Catenary Roofs

February 10, 2018

The Swiss civil engineer and
contractor Heinz Isler (1926-
2009) is regarded as one of the
pioneers of shell structures. He
gained renown for his experimental,
physical methods of
form-finding and the resulting expressive
shell structures produced in thin-walled
concrete,1 and first triggered his lifelong
fascination and professional work with such
structures by draping a saturated bed sheet
in freezing weather to form a catenary shell
(see the “Defining Catenary” sidebar on page
45) before inverting it. He proved that what
gravity forms when inverted is resistant to
the forces of gravity.
As a civil engineer, Theodore “Ted”
Thoeny, PE, principal at San Juan Bautista,
California-based Thoni Thermal Homes,2
has been interested in fabric structures for
the past 55 years, and has experimented
with different fabrics, from burlap and fiberglass
to geo-fabrics. “Using fabrics to form
roofs is very simple and efficient, especially
when gravity is allowed to form the shapes,”
he says. “Such lightweight roofs may answer
the need in areas that lack more traditional
resources (such as third-world countries),
plus address both life-safety and energy
concerns in modern settings.”
In this article, the Journal of the National
Institute of Building Sciences (JNIBS) talks
with Thoeny to gain an understanding of
catenary roofs. When considering alternative
construction techniques and materials,
such as those used in catenary roof structures,
this discussion may provide additional
insight.
JNIBS: HOW DOES A CATENARY ROOF
STRUCTURE WORK, AND WHAT ARE
THE COMPONENTS?
Thoeny: Components of a catenary roof
structure are a flexible fabric that drapes
in a smooth curve without wrinkles and is
relatively strong in tension when stiffened or
loaded with a polymer (whether a chemical
or natural stiffening product). The resulting
shape is formed by gravity and, when
inverted, it will be stronger and more resistant
to gravity.
JNIBS: WHERE IS SUCH A ROOF MOST
APPROPRIATE TO USE?
Thoeny: Catenary structures are appropriate
for roofs on homes, especially where
resistance to high winds and earthquakes is
desired. The shape permits a minimum use
of materials in protecting occupants from
the weather. The only limitation is building
size and the ability to invert and place the
roof structure on the building. Draping the
roof fabric over an inflatable form offers an
alternative method to placing catenary roofs
over larger buildings or edifices. Other ideal
building applications are for schools, clinics,
and agricultural buildings.
F e b r u a r y 2 0 1 8 RC I I n t e r f a c e • 4 1
Illustration by Ted Thoeny, PE.
Editor’s Note: This article is reprinted with permission from the Journal of the National Institute of Building Sciences (JNIBS).
JNIBS: WHAT ARE THE BENEFITS OF A CATENARY ROOF
STRUCTURE IN AN APPROPRIATE APPLICATION?
Thoeny: First, a catenary fabric roof is lighter weight and
less expensive than a standard roof, because a minimum
amount of material is needed. The lighter weight reduces the
hazard of collapse and injury to building occupants because the
shape is resistant to wind and snow loads. Its life cycle depends
on the materials used. If fiber cement is properly used, the roof
could remain intact for many years. In fact, a polyurethane foam
roof with an elastomeric coating, which I constructed 33 years
ago, is still weathertight.
JNIBS: WHO CAN PROVIDE/CONSTRUCT A CATENARY
ROOF?
Thoeny: A homeowner can erect one on his or her own,
or a journeyman trained in the material can erect the desired
structure.
JNIBS: WHEN DID YOU BEGIN USING CATENARY
STRUCTURES IN APPLICATIONS?
Thoeny: My first attempt was using a weather balloon as
a form for fiberglass fabric. The glass fabric cut the balloon, so
I draped the shape and sprayed it with polyester resin, which
resulted in a very strong dome. My inspiration came from an
architect named Lloyd Turner.3 In the late 1950s, he built a
dome of fabric and inflated it, spraying the interior with polyurethane
foam. Since then, he has designed and built several
4 2 • RC I I n t e r f a c e F e b r u a r y 2 0 1 8
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Roof Drainage Design and
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Roof System Thermal and
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Rooftop Quality Assurance
Wind Design for
Low-Slope Roofs – Part I:
Understanding ASCE 7-05
Wind Load Calculations
Wind Design for
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Understanding ASCE 7-10
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Wind Design for
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Global Guidelines and Best
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www.rci-e-learning.org
Floor plan by Ted Thoeny, PE.
homes using this technique and now lives in a multi-domed
home in Boulder Creek, California.
As for my own real-world applications, I was involved in
creating a catenary roof for the Seaside Wastewater Treatment
Plant in Monterey County, California, in the 1970s. We built
the walls for the building, which needed to incorporate a round
sludge-thickener tank, and formed a top plate for the building,
inverting the plate and draping burlap inside the plate.
We added glass mat for reinforcement and sprayed the fabric
with polyester resin. When it had cured, we
inverted the roof and placed it on top of the
walls. The project was a success and served
its use for many years.
My second prototype was a thermal
home, built in 1982. Again, the process
was very simple. For the roof, we draped
uncut and unshaped needle-punched,
geo-synthetic fabric4 to the top of the walls.
The drape was smooth, without wrinkles.
Through an opened window, we blew air
into the building, inflating the roof into
multiple domes. We sprayed the fabricdomed
roof with a three-pound density,
closed-cell polyurethane foam; used an
elastomeric coating on the roof exterior; and
plastered the interior with a fire barrier. As
noted earlier, this 30-plus-year-old thermal
home is still weathertight.
JNIBS: WHO ELSE IS BUILDING
CATENARY STRUCTURES?
Thoeny: I admire other practitioners who
work with catenary structures, including:
• Steve Kornher, the principal of
Flyingconcrete, who constructs his
concrete domes using fiber concrete
on welded-wire fabric (www.flyingconcrete.
com).
• David South of Monolithic and
Monolithic Constructors, Inc.,
who builds large domes, including
schools, and for agricultural
bulk-storage.
• Mark West, a professor at the
University of Manitoba’s Department
of Architecture and founding director
of the Centre for Architectural
Structures and Technology
(C.A.S.T.), who has been experimenting
with alternative construction
and design methods, including
the use of flexible fabric formwork
for the production of reinforced concrete
structures (http://umanitoba.
ca/faculties/architecture/facilities/
cast.html).
F e b r u a r y 2 0 1 8 RC I I n t e r f a c e • 4 3
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Double dome illustration by Jonathan Zimmerman,
Monolithic Dome Institute.
JNIBS: WHAT KIND OF CATENARY
RESEARCH IS GOING ON CURRENTLY?
Thoeny: Fabric-formed roof structures
are being built all over the world, with many
schools of architecture conducting research
in alternative methods. Among them are:
• North Dakota State University in
Fargo, where students and faculty
are studying the use of bio-based
(natural) fibers as composite reinforcement
in polymer structures.
• The University of Michigan, in which
textile composite materials are being
used in new industrial knitting methods.
The program has been funded
by pharmaceutical giant Upjohn,
which provides grants through its
Research Initiative Program.
• In Belgium, at the Belgium Building
Research Institute (and in cooperation
with Princeton University),
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DEFINING CATENARY
Wikipedia, the free encyclopedia, defines “catenary” as a mathematical curve. “In physics and geometry, a catenary is the curve
that an idealized hanging chain or cable assumes under its own weight when supported only at its ends. The curve has a U-like
shape, superficially similar in appearance to a parabola, but it is not a parabola; rather, it is a (scaled, rotated) graph of the hyperbolic
cosine. The curve appears in the design of certain types of arches and as a cross section of the catenoid—the shape assumed
by a soap film bounded by two parallel circular rings. …Catenaries and related curves are used in architecture and engineering,
in the design of bridges and arches, so that forces do not result in bending moments.”
4 6 • RC I I n t e r f a c e F e b r u a r y 2 0 1 8
Niki Cauberg and fellow researchers
are working with flexible fabric as
a replacement for stiff traditional
formwork to create double-curved,
thin-shell elements.
JNIBS: LOOKING AHEAD, WHERE
DO YOU SEE THE USE OF CATENARY
STRUCTURES?
Thoeny: The future for catenary structures
is unlimited, in that housing is not a
luxury, but a necessity. The catenary roof
is simple, inexpensive, and safer than many
other forms of construction. Components
range from jute to geo-fabrics, natural polymers
to the latest manmade plastics. With
continuing interest from product manufacturers,
these structures are a roofing alternative
that offers life safety, as well as reductions
in material use and energy costs.
REFERENCES
1. J.F. Abel and J.C. Chilton.
“Heinz Isler—50 Years of ‘New’
Shapes for Shells.” Journal of the
International Association for Shell
and Spatial Structures, (52)3.
2011. www.schwartz.arch.ethz.ch/
Publikationen/Dokumente/Isler.pdf.
2. Theodore “Ted” Thoeny, PE can be
contacted at thoni@basicisp.net.
3. Lloyd Turner, architect, https://twitter.
com/ahaaaa.
4. The geo-synthetic textile used was
Mirafi® by TenCate, www.tencate.
com/amer/geosynthetics/products/
geotextiles/default.aspx.
Illustration by Ted Thoeny, PE.
RCI will hold its first Canadian Building Envelope
Symposium September 13-14, 2018, at the Hilton
Mississauga/Meadowvale in Mississauga, Ontario.
A call for abstracts has been issued seeking
speakers for the event. Potential topics include
information on curtainwalls, roofing, façades,
wall technology, air-barrier systems, construction
processes, sealants, hygrothermal analysis, and
unique design solutions for the building envelope.
Abstracts should be received at RCI headquarters
by April 13. Papers will be due for peer review on
May 25.
Contact Tina Hughes, thughes@rci-online.org
for a copy of the Abstract Submittal Form and RCI
Guidelines for Presentations.
RCI TO HOLD
CANADIAN BES;
SPEAKERS SOUGHT The interim report from the building regulations review ordered
by the British Parliament following the deadly Grenfell Tower fire
has fallen short of taking a stance on banning combustible claddings
on high-rise buildings. “This means we continue with this
grey-area in regards to fire-safety,” said Jane Duncan, immediate
past president of the Royal Institute of British Architects and chair
of RIBAs Expert Advisory Group on Fire Safety.
Dame Judith Hackitt, a chemical engineer, led the review and
issued her report on December 18. She did call for a complete
overhaul of the construction industry, finding that the system is
“not fit for purpose.” The report called for an end to cost-cutting on
materials—the practice in which the building designed is not the
one that’s built, which is thought to have been a major factor in the
fatal fire’s rapid spread.
RIBA is calling for the final report, which is due in the spring, to
require a named person or organization to be held accountable for
the oversight of fire safety in the design and construction of a building
project. It also has called for introduction of immediate changes
to Approved Document B, the current fire safety guidelines, to ban
flammable claddings on high-rise buildings. In the U.S., such aluminum
composite panels as were installed on the Grenfell Tower are
illegal in buildings over 40 feet in height.
— NY Times, Guamsite.com, and Durability and Design
Interim Grenfell Inquiry Falls
Short of Ban on Combustible
Claddings on High-Rise Buildings