1. INTRODUCTION
This paper reports on bridges from past
to the future with their artistic and structural implications created
by the architect, the engineer or both. New bridge forms that will
appear with the utilization of new materials are also discussed.
1.1. Bridge Building
"… It was Michelangelo who is recorded
to have said: "A bridge ought to be built as though it were intended
to be a cathedral, with the same care and the same materials…"
14 (Watson, Stewart C., p.49)
"Bridge is a structure that is built
over a river, road, or railway so that people or vehicles can cross
one side to the other" (COLLINS Dictionary, p.89)
"Bridges are architecture, but architecture
of a very special kind, unique in its single-mindedness. Ordinarily
the art of architectural or landscape design consists in the creation
of space, and structure is finally the means to that end. But since
the function of a bridge is simply the continuation of a roadway over
a void, its structure is both means and end, and its reality lies
not in space enclosed, but in structure itself. Since a bridge does
not define space, but cuts through it, it is free of all the intricate
psychological considerations that must be taken into account when
space is molded or enclosed. Thus, paradoxically, a bridge is at once
the most tangible and most abstract of architectural problems. As
such, it is capable of extraordinary purity, though it may perhaps
never achieve the richness and depth of expression that are possible
in buildings of more complex human motivation." 8 (Mock, Elizabeth
B., p.7)
1.2. History of Structural Art
1.2.1. Iron Age
"… A full understanding of the new
material was not immediate. When iron first appeared on the European
scene as a likely structural medium for bridges, in eighteenth century
England, the impulse was to treat it like stone. When a material is
so new that its own individual nature is not yet understood, the usual
tendency is to handle it in the same manner as more familiar materials.
Some iron chain bridges were built, as early as 1741, but the other
early iron spans were all arches, and generally assembled like stone
vaults of small panels of cast iron…" 8 (Mock, Elizabeth B.,
p.41)
"…iron seems to have been welcomed
from the beginning as an honorable material, capable of a new and
startling beauty of its own, and the transition from stone to metal,
from mass to line, was accomplished with a minimum of esthetic fumbling…"
8 (Mock, Elizabeth B., p.41)
1.2.2. Reinforced Concrete Age
"The second period of structural
art begins in the 1880s when steel prices dropped and reinforced concrete
was developed. Engineers soon began to explore new forms with these
materials…" 2 (Billington, David P., p.7)
"Concrete is a building material consisting of gravel or crushed
stone, sand, cement and water. Because it is a fluid mass when mixed,
it can be cast into forms of any shape desired before hardening. Reinforced
concrete is made by casting the concrete over a cage of steel bars.
An unreinforced concrete beam will bend downward under its own weight,
especially at the center, causing the top to compress together but
stretching the bottom apart in tension. Concrete carries compression
easily, but under very low tension it cracks. However, if reinforcing
steel bars are embedded along its bottom inside, the bars can carry
tension while the concrete in the top part of the beam can carry the
compression."4 (Billington, David P., p.9)
"Joseph Monier, a French gardener,
was one of he first to think of reinforced concrete. Around 1867 he
strengthened concrete tanks and pipes by casting the concrete over
a skeleton of iron, … It was a civil engineer, G.A. Wayss of Berlin,
who recognized the potential of reinforced concrete as a large-scale
building material when he saw some of Monier's work at the Antwerp
Exhibition of 1885." 4 (Billington, David P., p.9)
"The use of reinforced concrete
become widespread only after 1894, however, and the leading European
figure, along with Wayss, was François Hennebique (1842-1921)… In
1902 Paul Christophe, a former member of Hennebique's staff, published
Reinforced Concrete and Its Applications, in which he gave a detailed
picture of the uses of reinforced concrete ten years after Hennebique's
method was patented… In the United States, progress in reinforced
concrete building from 1894 to 1904 was summarized at an international
engineering congress held in St. Louis in 1904. Sponsored by the American
Society of Civil engineers (ASCE), the congress was intended to be
a "review of progress during the past decade" in thirty-seven
subjects, one of which was "concrete and concrete-steel,"
i.e., reinforced concrete." 4 (Billington, David P., p.9-10)
"… François Hennebique of France
and Robert Maillart of Switzerland who were successful in creating
structural shapes eloquent of the unique powers and properties of
the wonderful new material." 8 (Mock, Elizabeth B., p.84)
"The leadership of France in reinforced concrete construction
has been due preminently to Hennebique to Auguste Perret, the architect,
and to Eugene Freyssinet, celebrated for his vaulted hangars of 1924
at Orly, his great arched bridges, and now for his work with prestressed
concrete." 8 (Mock, Elizabeth B., p.101)
"The prestressing of concrete consists
in artificially creating stresses approximately equal and opposite
to those that are produced by dead weight and live load in the completed,
functioning structure. In the Freyssinet system this is effected through
the pressure exerted by a series of parallel steel wires of high tensile
strength that are stretched to the limit of their elasticity and embedded
in the concrete, thus creating permanent compression. Such construction
uses at least 70% less steel than ordinary reinforced concrete, an
economy of financial importance; and it uses 30 to 40% less concrete,
an economy of esthetic importance, for it implies unprecedented slenderness."
8 (Mock, Elizabeth B., p.101)
"The prestressing of concrete produces
virtually a new material for construction which is able to resist
tension forces that concrete could not otherwise sustain, and it has
a useful gain in stiffness." 13 (Shirley-Smith, H., p.206)
2. ARCHITECTURE
OF BRIDGE DESIGN
2.1. The Nature of Architectural Engineering
"Architectural engineering can be
seen as a collection of disciplines related to the technical aspects
of building design and construction. The National Society of Architectural
Engineers (NSAE) … defines architectural engineering as "the
profession in which a knowledge of mathematics and natural sciences,
gained by study, experience and practice, is applied with judgment
of the development of ways to use, economically and safely, the materials
and forces of nature in the engineering design and construction of
buildings and heir environmental systems." 15 (Belcher, M.C.)
"Architecture and Engineering are
two dissimilar disciplines which must work together due to the vast
array of aesthetic and technical needs of a complex modern building.
Architectural engineering can be thought of as bridging the gap between
the two… The type of person who chooses architecture as a profession
tends to be highly creative, curious (in both senses of the word),
and inclined to use a thinking style known as "synthesis".
The synthetic thinker approaches a problem by immediately proposing
a global solution which may be later refined or abandoned in light
of emerging information. This character sketch is in sharp contrast
with the type of person who is typically attracted to the traditional
fields of engineering. The engineer tends to be pragmatic, unimaginative,
and rational, usually adopting the thinking style that has been labeled
"analytical"." 15 (Belcher, M.C.)
"The engineer approaches a problem
by compiling vast quantities of data and proceeds through it in a
systematic, linear manner to arrive, eventually, at the single, final,
irrefutably "best" solution. The architect's penchant for
false starts, backtracking, and arriving at a design through iteration
is a source of constant irritation to the traditional engineer… In
school, architects are given assignments like "create something"
whereas engineers are given assignments like "learn this equation".
Architectural engineers, however receive training in both analysis
and synthesis."15 (Belcher, M.C.)
2.2. Art of the Structural Engineer
"Everything that is beautiful and
noble is the result of reason and calculation. -BAUDELAIRE" 13
(Shirley-Smith, H., p.209)
"The modern bridge engineer has
to be an artist and a poet as well as mathematician, scientist, financier
and contractor. - D.B.STEINMAN" 13 (Shirley-Smith, H., p.206)
"The disciplines of structural art
are efficiency and economy, and its freedom lies in the potential
it offers the individual designer for the expression of a personal
style motivated by the conscious aesthetic search for engineering
elegance" 2 (Billington, David P., p.5)
"The modern world tends to classify
towers, stadiums, and even bridges as architecture… Here even the
word is a problem because "architect" does come from the
Greek word meaning chief technician. But beginning with the Industrial
Revolution, structure has become an art form separate from architecture…
Sometimes the engineers have worked with architects just as with mechanical
or electrical engineers, but the forms have come from structural engineering
ideas." 2 (Billington, David P., p.14)
"There are three types of designers
who work with forms in space: the engineer, the architect, and the
sculptor. In making a form, each designer must consider the three
dimensions or criteria (scientific, social, symbolic)… The first,
or scientific criterion, essentially comes down to making structures
with a minimum of materials and yet with enough resistance to loads
and environment so that they will last… The second, or social criterion,
comprises mainly analyses of costs as compared to the usefulness of
the forms by society… Finally, the third criterion, the symbolic,
consists of studies in appearance, along with a consideration of how
elegance can be achieved within the constraints set by the scientific
and social criteria… For the structural designer the scientific criterion
is primary (as is the social criterion for the architect and the symbolic
criterion for the sculptor). Yet the structural designer must balance
the primary criterion with the other two…" 2 (Billington, David
P., p.17)
"The Engineer, inspired by the law
of economy and governed by mathematical calculation, puts us in accord
with universal law. He achieves harmony. The Architect, by his arrangement
of forms, realizes an order which is pure creation of his spirit.
[Le Corbusier]" 3 (Billington, David P., p.121)
2.3. Creation and Designing of Bridges
"Since the reality of a bridge lies
in its structure, the art of bridge building lies in the recognition
and development of the beauty latent in those structural forms that
most effectively exploit the strength and special properties of a
given material." 8 (Mock, Elizabeth B., p.7)
"We must not assume that the simple
application of these rules will in itself lead to beautiful bridges.
The designer must still possess imagination, intuition, and a sense
for both form and beauty… The rules, however, provide us with a better
point of departure and help us with the critical appraisal of our
designs, particularly at the model stage, thus making us aware of
aesthetic design errors. [Menn]" 5 (Burke, Martin P., p.1255)
3. BRIDGE AESTHETICS
AND STRUCTURAL EXPRESSION
3.1. Principles of Bridge Aesthetics
Martin P. Burke identifies and synthesizes
the major abstractions appearing in the 1991 book Bridge Aesthetics
Around the World by 24 of the world's best-known authorities on bridge-design
aesthetics, and he says: "… a number of authors suggested some
basic principles that should be observed in the conception and design
of every bridge. Chief among these principles are "bridge/place
integration," and the employment of a "structurally expressive
form"." 5 (Burke, Martin P., p.1252)
3.1.1. Bridge/Place Integration
"We must respect the natural balance
and form of our structures in a manner that leads to the least possible
disturbance of the landscape. This is especially important if bridges
are built near outstanding scenery. [von Olnhausen]" 5 (Burke,
Martin P., p.1252)
"Italy, crossed by major and minor
roads, railways and canals, is extremely varied and very beautiful.
The problem of inserting bridges into this natural environment is
of great significance. As a result, aesthetics has always played a
role of considerable importance in the design of Italian bridges…[de
Miranda]" 5 (Burke, Martin P., p.1252)
"… we recognize the need to integrate
a structure into its environment, landscape or cityscape, particularly
where the dimensional relationships and scale are concerned. Many
mistakes have been made during the past decades by placing massive
concrete blocks in the heart of older areas of a city… Sometimes,
long-span bridges with deep, heavy beams spoil lovely valley landscapes
or towns… [Leonhardt]" 5 (Burke, Martin P., p.1252)
"… The present stage of bridge design
may be characterized as a comprehensive scheme-in short, the "the
contextual approach." This design philosophy incorporates the
spatial, social, and historical meanings of a place, as well as the
design theme of a town. [Nakamura and Kubota]" 5 (Burke, Martin
P., p.1253)
3.1.2. Structurally Expressive Form
"The most important principle in
bridge architecture is to achieve a clean and well-defined anatomical
construction, devoid of deception and unnecessary detail, and with
a directness of line both pleasing to the eye and responsive to the
senses… [Ghaswala]" 5 (Burke, Martin P., p.1253)
"The final principle is that of
veracity-the form should follow function. When this principle is obeyed,
the style of a structure should be conditioned by the force system
and properties of the applied materials. [Glomb]" 5 (Burke, Martin
P., p.1253)
"The structure also needs to reveal
itself as a pure, clear form and thus impart a feeling of confidence
and stability. Here, we must seek simplicity. The form of the basic
structure must also correspond to the materials used. Brick masonry
and timber each dictate different forms from those for steel or reinforced
concrete. [Leonhardt]" 5 (Burke, Martin P., p.1253)
"… bridge forms should not be shaped
for their appearance without considering the efficiency with which
they will support their loads. Rather, the two primary objectives,
function and appearance, are inextricably bound together, and the
choice of a particular form for a specific bridge should evolve from
a design process that alternately and continuously considers the effect
of each decision on both the function of the form and the appearance
and the appearance of the form. Ultimately, a form will emerge that-at
least in the opinion of the designer- optimizes both aspects of the
design. Both function and appearance determine form. A bridge designer
who neglects one or the other will be constructing the wrong bridge
in the wrong place at the wrong time." 5 (Burke, Martin P., p.1253)
3.2. Robert Maillart's Bridges
"Maillart was a great inventor and
technician, but by the very fact that he exploited the technical possibilities
to the utmost limit, his bridges above all reach beyond the sphere
of merely technical achievement. They are conceived in such a daring
and uncompromising spirit that they rise above the purely technical
to genuine artistic vision. Maillart had the creative power of an
artist, who always conjures up something new through the means of
expression of his time and by making use of all the possibilities
at his disposal." 1 (Bill, Max, p.31)
"Maillart's fundamental idea was
that structure should be liberated from mathematical analysis; but,
at the same time it should be disciplined by the results of physical
testing and visual observation…" 4 (Billington, David P., p.107)

Salginatobel
Bridge
"It may seem that Maillart was largely
reacting to the criterion of monumentality and not presenting any
criteria of his own… However, Maillart was expressing a view of right
relationships, even though not in the traditional language of architecture.
We cannot expect every artist to set out his aesthetic theory while
working to create a new style. Maillart left as complete a record
as we have any right to expect." 4 (Billington, David P., p.121)
"Structural art, coming from the
imagination of the engineer, has three basic ideals: efficiency, economy
and elegance. For Maillart, efficiency meant the use of as little
material concrete and steel) as possible consistent with a large margin
of safety. Economy, for Maillart, implied competitive construction
costs as well as relative freedom from maintenance… In structural
art, elegance is not achieved by giving up the disciplines of minimum
materials and competitive costs in favor of some separate search for
beauty… Maillart never did such things. Elegance comes from within
the disciplines; Maillart played with his forms to refine them and
to enliven them without adding to cost or materials…" 3 (Billington,
David P., p.116-117)
4. FUTURE TRENDS
4.1. New Materials and Technology
"President D. Roosevelt stated on
October 18, 1931, "There can be little doubt that in many ways
the story of bridge building is the story of civilization. By it we
can readily measure an important part of a people's progress."
11 (Podolny, W., Jr., p.10)
"As we prepare to enter into the
21st Century it is appropriate to contemplate how to bridge technology
of the future will evolve. Research is already underway on improving
various materials that may have dramatic impact on the bridge industry.
Applications of new systems to existing bridge types of bridge structures
are being attempted…" 11 (Podolny, W., Jr., p.1)
"Our transportation infrastructure
is literally crumbling away at an ever increasing faster pace… Construction
materials and structural forms that were established in this century,
have for the most part, remained largely unchained. Existing materials
have been found inadequate. They are less durable and more difficult
to maintain than expected. We are in need of more reliable, lower
maintenance solutions. Researchers and engineers around the world
are seeking new materials, methods and techniques for life-cycle cost
reduction." 12 (Podolny, W., Jr., p.14-1)
4.1.1. High Performance Aluminum Alloys
(HPA)
"High performance aluminum alloys
can bring to the bridge market significant advantages such as: light
weight, high strength, superior corrosion resistance, ready fabrication,
recyclability, workability and process capability, and toughness and
strength at sub-zero temperatures. The use of high performance aluminum
extrusions and forgings can provide virtually maintenance-free components
for bridges. Due to its relatively light weight, aluminum bridges
provides proportionally less inertial momentum to the destructive
energy of earthquakes and, therefore, has the potential to significantly
reduce earthquake damage repair costs…. The use of aluminum in bridges
is not new. As for as it is known, its first use was for the aluminum
deck on the Smithfield Bridge in Pittsburgh in 1933. It has been used
in nine bridges in the United States as a major structural component
or for the total superstructure…" 12 (Podolny, W., Jr., p.14-5)
"Aluminum bridge deck replacement
projects have these goals: speedy completion, minimum life-cycle cost,
and long term durability." 12 (Podolny, W., Jr., p.14-5)
4.1.2. High Performance Concretes (HPC)
"High performance concretes HPC)
are all too often simply associated with high strength. Although high
strength is a desired attribute it is not the only one. Other qualities
are improved constructability, improved durability, and improved mechanical
properties. Typical concrete strengths currently utilized range from
4 to 6 ksi (27.5 to 41 MPA). Increasing these strength levels by a
factor of two or three (103 MPA for example) reduces the volume of
concrete required and opens up significant design possibilities…"
12 (Podolny, W., Jr., p.14-5)
4.1.3. Advanced Fiber Reinforced Polymer
Composites (FRP)
"Advanced fiber reinforced polymer
composites (FRP's) offer the potential of eliminating the problem
of excessive dead load of long span bridges as well as the adverse
environmental effects resulting in corrosion problems of metals and
concrete reinforcement. For suspension bridges , the most promising
application of FRP's is for cable stays and the main cables of catenary
suspension bridges, and as a replacement of concrete bridge decks
if not the total superstructure girder." 12 (Podolny, W., Jr.,
p.14-6)
"Fiber materials used for FRP's
include glass, carbon and Kevlar… The composite material is fabricated
from these thin fibers and polymer resins as binders. Ultimate tensile
strength range from 160 to 800 ksi (1100 - 5500 MPA). Primary advantages
of a FRP composite deck is its lighter weight, corrosion resistance
and potential for fabrication in modular units that would allow rapid
erection… Several current cross-section configurations are being investigated
which would reduce the weight of a conventional concrete deck by approximately
70 to 80 percent." 12 (Podolny, W., Jr., p.14-6)
"Cables are one of the main components
to inhibit the extension of suspension bridge spans. As spans become
progressively longer and dead load increases, the steel cables become
longer and heavier. The relationship between center span length and
dead load is shown in the figure, for a three-span catenary suspension
bridge with a stiffening truss girder. What this indicates is that
as the center span length increases the cable weight increases at
a faster rate than the dead weight of the suspended structure. Stated
another way, as the span increases there is a decreasing percentage
capability of the cable to carry live load. Higher strength and lighter
cables will be required for future spans exceeding today's technology."
12 (Podolny, W., Jr., p.14-6)
"A promising solution to this problem
is the use of carbon fiber composite cables (CFCC). A seven-wire carbon
fiber composite cable has been develop in Japan that is similar to
conventional prestressing strand. Material strength is 300 ksi (2070
MPA). However the unit weight of this material is approximately one-fifth
that of steel. For comparative purposes the cable material required
for suspension bridges, of both the catenary and stayed type, of steel
and carbon fiber composite cables is shown in the figure… It is apparent
that a cable material with a 80 percent reduction in unit weight would
have enormous impact in the design and construction of suspension
and cable-stay bridges." 12 (Podolny, W., Jr., p.14-7)
4.1.4. High Performance Steels (HPS)
"… New High performance Steels (HPS)
will provide enhancements in weldability, toughness, corrosion resistance,
ductility, fatigue resistance, fire resistance, formability and strength.
Higher strength steels with good weldability are likely to dramatically
reduce structure cost. Improved welding electrodes and processes will
be, or are being developed. These two developments, along with improved
confidence levels, may allow the use of one sided and field welding,
which will lead to lower erection time and decrease costs. Improved
ductility and toughness of HPS will lead to greater utilization in
bridges where seismic design is of concern. Improved corrosion resistance
will reduce life-cycle costs and lead to greater utilization of HPS
in bridges. However, to maximize the potential and usage of HPS new
innovative structural forms will have to be developed… Incorporated
with other materials and techniques such as polymers, concrete, prestressing
tendons; these new steels will provide bridges with improved aesthetic
qualities and reduced cost of construction." 12 (Podolny, W.,
Jr., p.14-10)
4.2. Bridge Form In The Future
A cable stayed bridge in which the towers
are multi-storey buildings with leisure facilities, offices and shops
accessed from the main bridge. 7 (Head, P.R., p.29)

"Approximately 70%
of the natural light would penetrate the plastic tube and supplementary
lightning would be provided… The plastic tube bridge would protect
the environment from traffic and traffic from the environment. Roadway
surface conditions would be protected from the climate, the roadway
would be dry, fog and ice-free at all times, increasing safety. Maintenance
would be reduced as snow plowing and deicing chemicals would not be
required." 6 (Gordon, S. , Podolny, W., Jr., p.216)
"Another tubular highway concept
that has been advanced in recent years is that of the submerged floating
tunnel (SFT), or "underwater bridge." The concept is simply
one of a tubular superstructure that is sufficiently submerged under
water to provide adequate clearance for marine vessels that would
pass over the structure. Support for the superstructure would be provided
by cables anchored to the bottom of the lake or sea, as this proposal
for crossing a Norwegian fjord near Hogsfjord, Norway…" 11 (Podolny,
W., Jr., p.7)

"…As compared to a intrusive above
water bridge structure it would result in uninterrupted scenic vistas
with virtually no impact on the environment… The concept of the submerged
floating tunnel-sometimes called Archimedes bridge because of the
way it uses buoyancy to carry the load…" 11 (Podolny, W., Jr.,
p.10)

"To bridge the strait of Gibraltar
is an engineering challenge which will require unprecedented span
lengths because of the extreme water depths… The objective has been
to develop schemes with realistic explorations of known state of the
art technology as well as adopting new combinations of known technology."
10 (Ostenfeld, K.H., Peterssen, A., Forsburg, T., p.241)

"In the U.K. … a new structural
form called SPACES, has been developed and is being promoted by a
team effort of materials suppliers, manufacturers, fabricators, bridge
designers and contractors. The system consists of a tubular three
dimensional space frame acting compositely with a lightweight deck
slab. When necessary, the structure can be post-tensioned. The space
frame is enclosed by a participating aerodynamically profiled shell
in advanced composite material." 12 (Podolny, W., Jr., T., p.14-13)

Richard
Rogers, Hungerford Bridge proposal
Team
Luscher, Lake Geneva proposal ... Terry Farrel, Blackfriars Bidge
proposal

Antoine
Grumbach, Thames Bridge proposal
5. CONCLUSION
"… Overcrowding and environmental
problems are driving engineers to look for more durable materials
derived from sustainable resources to build our bridges. The structures
have to be more flexible to accommodate change of use and must be
able to be maintained without disrupting their use. New bridge forms
are emerging and the beginning of the 21st Century will be fascinating
period of change in bridge technology." 7 (Head, P.R., p.31)
"The utilization of high strength
and increased durability will allow us to take new and emerging structural
form concepts from the drawing boards into reality." 11 (Podolny,
W., Jr., p.31)
"The past and present have been
exciting, the future promises to be even more exciting. The Winds
of Change are changing technology at an ever-faster pace in the effort
to overcome and provide solutions to current problems and obstacles.
To change is to advance. Change is inevitable. However, fear of change
should not be used as an excuse to inhibit advancement and innovation."
12 (Podolny, W., Jr., p.14-4)

6. BIBLIOGRAPHY
1. Bill, Max; "Robert Maillart:
Bridges and Constructions"; Frederick A.Praeger Publishers, NY,
1969
2. Billington, David P.; "The Tower
and The Bridge: The New Art of Structural Engineering", Princeton
University Press, Princeton, New Jersey, 1985
3. Billington, David P.;" Robert
Maillart and The Art of Reinforced Concrete", the Architectural
History Foundation, NY, the MIT Press, 1989
4. Billington, David P.;" Robert
Maillart's Bridges - The Art of Engineering", Princeton University
Press, 1979
5. Burke, Martin P.; "Bridge Aesthetics:
World View", Journal of Structural Engineering; (121/8), August
1995, pp.1252-1257
6. Gordon, S., Podolny, W., Jr.; "Future
Trends in Suspension Bridges", Proceedings, "Bridges Into
the 21st century", Hong Kong, 1995, The Hong Kong Institution
of Engineers.
7. Head, P.R.; "Bridge Materials,
Construction Technology, Public Use and Financing - The Dynamics for
Change in the 21st Century", Proceedings, "Bridges Into
the 21st century", Hong Kong, 1995, The Hong Kong Institution
of Engineers.
8. Mock, Elizabeth B.; "The Architecture
of Bridges", The Museum of Modern Art, NY, 1949
9. Murray, Peter; Stevens, Mary Anne;
"Living Bridges: the Inhabited Bridge, Past, Present and Future",
Prestel, Munich*NY, 1996
10. Ostenfeld, K.H., Peterssen, A., Forsburg,
T.; "Suspension Bridge Development Trends Based on Little Belt,
Great Belt, Höga Kusten Bridge and the Gibraltar Crossing", Proceedings,
"Bridges Into the 21st century", Hong Kong, 1995, The Hong
Kong Institution of Engineers.