Saturday, January 19, 2008

Cradle of Invention


A new method of conveying cable stays through bridge pylons without permitting them to interact with one another is giving rise to bridges with longer spans and more inspiring designs that nonetheless respect budget constraints as well as maintenance and life-span requirements. By W. Denney Pate, P.E., M.ASCE, and W. Jay Rohleder, Jr., P.E., S.E., M.ASCE

FIGG, all photos

The Penobscot Narrows Bridge and Observatory—which houses the tallest public bridge observatory in the world in one of its pylons—carries U.S. Route 1 along the Maine coastline. The cradles for this bridge were positioned within framework to secure them in their exact positions on the ground; the framework was then lifted into place within each cast-in-place pylon.


It is said that necessity is the mother of all invention. If that is the case, then the need for striking, elegant cable-stayed bridges that can span greater lengths and be more easily maintained over the course of longer lives has yielded a significant new invention that may well benefit bridge designers the world over.

Driven by a desire to push the design of single-plane cable-stayed bridges beyond their current limits—both in span length and in aesthetic appeal—while still delivering an economic solution that is easy to construct and maintain, FIGG, an engineering firm based in Tallahassee, Florida, has created a novel system for routing stay cables from one end of a bridge deck, through the bridge’s pylon, and then down to the other end of the deck in a way that precludes the possibility of cable-to-cable interactions.

The innovation has been employed on two new bridges—the Veterans’ Glass City Skyway Bridge, which carries Interstate 280 across the Maumee River in Toledo, Ohio (see “Ohio DOT Endorses Design for Maumee River Crossing,” Civil Engineering, September 2000, page 12), and the Penobscot Narrows Bridge and Observatory, which carries U.S. Route 1 over the Penobscot River in southeastern (“down east”) Maine near the coastline (see “Observatory to Cap Maine Crossing,” Civil Engineering, April 2004, pages 15–17).

The cradle offers benefits both during construction and over the life of the bridges. Most important of all, it permits the use of the largest number of strands within a single stay cable in the world: 156, an increase of more than 70 percent over the second-highest number known to have been used in the United States. It also makes it possible to increase the distance between stay cables by approximately 50 percent when used with precast delta frames to facilitate a single plane of stay cables, resulting in aesthetically superior designs. This is accomplished by having all the strands parallel as they travel from the anchors at the deck level through the cradle in the pylon and back to the deck. Individual sleeve pipes located within the cradle system enable each strand to act independently of adjacent strands. This also permits the cables to be much larger and to be spaced farther apart, which translates into longer spans.

Furthermore, the cradle system lowers initial costs by reducing the amount of materials and labor needed because no anchorages in the pylon are required. This simplifies construction operations by allowing all of the cable-stressing operations to be performed at the bridge deck level rather than within the (often restricted) confines of the pylon, high above the bridge deck. The system also includes removable “reference” strands in each stay cable that provide a simple, reliable method for verifying the condition of the stay cables in the future. Because the cradle system does not require strands to be grouted, they can be individually removed, inspected, and replaced, even when there is traffic on the bridge. Bridge owners can thus safely and accurately assess the conditions of the stay cables at any time over the course of the bridge’s life. In the case of the Maine bridge, new strand materials can be tested side-by-side with traditional materials in an actual setting, as opposed to a process of computer simulation.

What is more, the cradle system makes possible the use of a wider variety of pylon designs—some with much smaller and more elegant cross-sectional shapes—that can be constructed more economically. Engineers can thus design pylons that are far more unusual and aesthetically pleasing than has been the case in the past.

The cradle design works with the natural flow of forces because the forces transmitted through the cradle naturally compress the pylon in an efficient manner, the stresses being applied radially along the curve of the cradle (see the illustrations on page 41). In traditional systems, anchorages within the pylon required large tension ties to resist the high splitting forces that would be generated. Using the cradle system eliminates this requirement and further enhances the elegance of the pylon shapes.

The development of this new technique began in early 2000. The Ohio Department of Transportation (ODOT) and the Toledo Metropolitan Area Council of Governments had formed what was called the Maumee River Crossing Task Force Design Committee to assess and communicate the communities’ perspective on the developing design. The task force chose glass as the theme for the new cable-stayed bridge. Meetings involving a diverse cross section of the community had made the public’s views clear: the bridge was to feature glass in a very visible and striking way in recognition of Toledo’s industrial heritage as a leader in the glass industry. Many families in the area had worked in the local glass industry for generations, and it was important to them that the crossing be a symbol of the “Glass City,” as Toledo has come to be known. The public was also of the opinion that the bridge design should champion a product that had been of the utmost importance to the area’s economy. The task force further determined that residents wanted the bridge design to be light, simple, and elegant.

FIGG led two community workshops, or design charettes, during which the public was presented with a variety of aesthetic options. Community voting showed a clear preference for a single-pylon design. The consensus was that by creating a single tall pylon—403 ft (123 m)—using glass on the top 196 ft (60 m) and on all four sides, the new bridge would be visually stunning. In keeping with this directive, the top of the pylon takes on a prismatic shape, its panels of treated glass reflecting sunlight during the day on all four sides. Behind the glass are light-emitting diodes (LEDS) that enable the pylon to stand as a beacon at night. (The led fixtures are controlled remotely and capable of literally millions of color combinations. In fact, various color schemes have been preprogrammed, some schemes marking major holidays and others exhibiting team colors for statewide sporting events.)

The ODOT had determined that the bridge was to have a precast segmental superstructure and that its cable-stayed main span was to provide 120 ft (36.5 m) of vertical clearance and 400 ft (122 m) of horizontal clearance for the shipping channel. Since that channel runs along the north side of the river, the pylon could be placed in the center without disrupting shipping operations. The pylon, which rises 440 ft (134 m) above the river, is now the second-tallest structure in Toledo, just slightly shorter than a nearby landmark skyscraper that for many years served as the headquarters of Owens-Illinois, a glass and plastics company.

The community also voted by a three-to-one margin for a single plane of stay cables, reflecting their desire for a structure that would be visually arresting but would not unduly interfere with views of the river and would clearly separate northbound and southbound traffic on the highway itself. Additional voting revealed a preference for a fan arrangement in the stay cables, which would draw the eye upward, dovetailing nicely with the theme adopted by the task force for the project: “Look up, Toledo!” The use of stainless steel sheathing on the stay cables—which would reflect daylight in much the same way as the top of the pylon—also was valued. Delivering a design to achieve this vision meant using large, widely spaced stay cables. As the design developed, FIGG also focused on ensuring that the design would be efficient and that the bridge would have a service life of more than 125 years.

Some of the cable-stayed bridges in the Untied States designed by FIGG have featured saddles in their pylons to carry the stay cables. Examples include Florida’s Sunshine Skyway Bridge (a maximum of 82 strands per stay cable), which crosses Tampa Bay (see “Landmarks in American Civil Engineering History: Sunshine Skyway Bridge,” Civil Engineering, November/December 2002, pages 162–163); the Varina-Enon Bridge, near Richmond, Virginia (a maximum of 90 strands per stay cable); and the Chesapeake and Delaware Canal Bridge, near St. Georges, Delaware (a maximum of 85 strands per stay cable). However, given the record number of strands used in the cables of the Toledo bridge—156—and the fact that it might be necessary to use even more strands in future designs, a new system was clearly needed. Consideration was given to placing anchorages in the pylon, but this would have meant increasing the pylon cross section by one third—from a width of 23 ft (7 m) to one of 31 ft (9.5 m)—which in turn would have increased the overall quantity of materials and the cost of construction. Such an increase would also have complicated construction, because the contractors would have been required to perform portions of their stressing operations approximately 230 ft (70 m) above the bridge deck.

Twenty cradles convey the largest known stay cables in the world through a single pylon on the Veterans’ Glass City Skyway Bridge, in Toledo, Ohio. With cables arranged in a single plane, the elegant bridge pays tribute to a material that has contributed significantly to the economic vitality of the region: glass.


In analyzing the increased stay cable size with the traditional use of a saddle, the engineers determined that by isolating the strands from one another, strand-to-strand interaction could be eliminated. In early 2000 FIGG engineers introduced its new solution, which provided each strand with its own curved stainless steel tube within a steel cradle. Here each strand could pass through the cradle independently. Avoiding the use of anchorages in the pylon made it possible for the design to reflect the communities’ preferences and produce a structure with a sleek and angular single pylon, a single plane of widely spaced stay cables, and extensive use of glass in the pylon.

Each epoxy-coated steel strand runs independently through its own 1 in. (25 mm) diameter sleeve pipe within the cradle. The spaces between the sleeve pipes are grouted, under controlled conditions, before the cradle is set into place inside the pylon formwork. The cradle will then be cast into the pylon as one piece. “Cheese plates” (named for the distinctive holes of Swiss cheese) located at each end of the cradle and centering plates located in the curved section of the cradle are used to maintain the relative positions of the sleeve pipes. The ends of the individual sleeve pipes within the cradle are widened to ease strand installation. Along the free length of the stay cables—that is, from the edge of the cradle to the anchorage at the bridge deck—each of the strands is housed only within the sheathing for the stay cables. The strands are kept parallel to one another by the cheese plates and the anchorages.

In the Toledo bridge, the cradle extends beyond the pylon in the longitudinal direction. Since the bridge design utilizes 18 in. (457 mm) and 20 in. (508 mm) diameter stainless steel sheathing (believed to be the largest in the world), the cradle itself also was manufactured from stainless steel for a unified look.

Before this new system could be used, however, it had to be tested by the ODOT. To complete the test, the department prepurchased the entire system of stay cables, including the saddle, in early 2001. This removed testing from the contractor’s schedule and assured the owner that the cable system components would be available as needed. Acceptance testing included the following:

  • An axial fatigue and ultimate static test was carried out on an 82-strand specimen fully representative of all materials, details, fabrication processes, and assembly procedures proposed for the production anchorages. Each specimen consisted of two anchorages and had a clear space of approximately 180 in. (4,572 mm) between anchor faces.
  • An axial fatigue and leak test was carried out on a 119-strand specimen. As part of the corrosion protection qualification process for the anchorage assembly, the anchorage specimen for the stay cables was tested as a system to detect any leaks. The tested specimen included the entire transition zone; a minimum of 3.5 ft (1 m) of free length; and all seals, coatings, and coverings that were to be installed in the actual application.
  • An axial fatigue and ultimate static test was carried out on a 156-strand specimen that was fully representative of all materials, details, fabrication processes, and assembly procedures proposed for the production anchorages. Each specimen consisted of two anchorages and featured a clear space of approximately 180 in. (4,572 mm) between anchor faces.
  • Single-strand cradle testing also was performed. Before conducting a test of the full-size cradle specimen for combined axial/flexural fatigue, three similar tests were conducted on single-strand specimens, each curved to a different radius through the cable. The purpose of these single-strand tests was twofold. First, the test provided a value for the friction coefficient between the epoxy-coated strand of the stay cable and the stainless steel sleeve within the cradle. Second, it provided an initial indication of the fatigue behavior to be expected from the interaction between the epoxy-coated strand of the stay cable and the stainless steel sleeve.
  • An axial/flexural test, or “cradle” test, was carried out on a 119-strand specimen that, again, fully represented all materials and processes to be used on the actual bridge. The specimen consisted of two anchorages and one complete cradle assembly for the stay cables.

The acceptance testing was performed by CTL Group, of Skokie, Illinois, in accordance with the reference work Recommendations for Stay Cable Design, Testing and Installation (Phoenix: Post-Tensioning Institute, 1993). The leak test was adapted from the 2000 edition of this publication and completed successfully in December 2001. The construction work for the Toledo bridge was put out for bidding on January 15, 2002, and the low bid of $220 million was offered by the Fru-Con Construction Corporation, of St. Louis. Construction of the 2.75 mi (4.4 km) of ramps, roadways, and cable-stayed crossing is nearing completion, and opening is anticipated this spring.

The strands run continuously from one end of the bridge deck, through the curved cradle that has been placed within the pylon, and back to the other end of the bridge deck (figure 1). Centering plates and “cheese plates” (figure 2) are located at each end of the cradle to position the individual stainless steel pipes or sleeves parallel to one another within the cradle (figure 3). Grout is used between the individual sleeves. The ends of the individual sleeves were flared to prevent the sleeve edges from coming into contact with the epoxy coating on the strands (figure 4).


As construction was proceeding in Toledo, the Maine Department of Transportation (MaineDOT) was challenged by the need to effect an emergency replacement of the bridge that carries U.S. Route 1 over the Penobscot River to link Waldo and Hancock counties. The existing suspension bridge was scheduled for renovation, but when deterioration of the main suspension cables was found to be much more pronounced than anticipated, a decision was made in July 2003 to replace the crossing with a cable-stayed bridge. FIGG was selected to design the bridge, which was constructed by a joint venture of Cianbro/Reed & Reed, llc—which operated from a location adjacent to the bridge in Verona—at a cost of $68 million. The pressing nature of the project and an owner-facilitated design/build process moved the effort along rapidly and made it possible for the new bridge to open on December 30, 2006, just 40 months after the decision was made to replace the structure.
In 2005, as the pylon of the bridge in Toledo, Ohio, was cast, each cradle was lifted into place by crane and precisely positioned to meet the required geometric specifications.
Those living in nearby communities wanted the replacement to complement its context. The bridge is located adjacent to a historically important military establishment, Fort Knox, the first military post in Maine to have been constructed of granite rather than wood. General Henry Knox, for whom the fort is named, served with distinction as President Washington’s commander of artillery and was the country’s first secretary of war. Adding to the primacy of granite is the fact that it was used in the core of the Washington Monument. The communities thus feel particularly connected to the material, as seen in the theme they developed for the bridge project: “Granite—simple and elegant.” The bridge was therefore designed to be constructed of cast-in-place concrete formed in lifts that in size and shape would suggest large blocks that blend with the rugged rock strata of the region. Additionally, granite was used in the bases of the pylons, and the pylons took the form of obelisks in a nod to the Washington Monument.

To streamline environmental approvals and deliver the completed bridge as quickly as possible, the pylon foundations for the 1,161 ft (354 m) cable-stayed main span were placed on the riverbanks. As the design was being developed, the communities voiced misgivings regarding the pylons, which were to be more than 400 ft (122 m) tall to accommodate the main span. In response, the design team turned that height into an advantage by creating a three-story public observatory atop one pylon—the tallest public bridge observatory in the world—with views of both Fort Knox and the Maine coast.

The state’s heightened awareness of cable corrosion led MaineDOT to explore all possible methods for minimizing the potential for corrosion in the cable-stayed bridge. Multiple layers of protection for the strands were provided, including epoxy coating on the strands, a pressurized nitrogen gas system that creates a corrosion-inhibiting environment in each stay cable, reservoirs within each stay to automatically recharge the gas system to 2 psi (13.8 kPa), readily accessible monitors for reading and recording fluctuations in gas pressure, and exterior sheathing that works with the cradle system to create an airtight environment. MaineDOT and the participants in the design workshops preferred light gray high-density polyethylene (HDPE) for the stay cable sheathing, in keeping with the aesthetic theme of granite. Because of its flexural characteristics, hdpe also provided an ideal material for creating airtight closures at the cradles and anchorages.

To accommodate the contractor’s preferred means and methods, the cradles were slightly inset from the pylon faces. With each cradle wholly within the confines of the pylons, it was economical to specify unpainted, uncoated carbon steel (“black steel”) for cradle fabrication.

One back span of the bridge curves in two directions, which created geometric challenges during construction. The stay cables originate in the centerline of the bridge deck and are conveyed through alternating sides of the pylons. The result is a unique V shape in the system of stay cables. This provides an opening in the center of one pylon to accommodate an elevator that takes visitors to the public observatory at the top.

Constructability was enhanced by positioning the cradles within a frame during fabrication at ground level, surveying their position to a high degree of accuracy, and then securing the cradles to the frame. Once the framework was correctly positioned in the pylon formwork, the geometry for the side-by-side cradles was verified and the entire system cast into the pylon.

The flexibility created by enabling each strand to act independently allowed the incorporation of a force-monitoring system on each of the 40 stay cables in the bridge, a system that is believed to be the world’s first. By using a portable device, the owner can measure the forces in each stay cable to an accuracy of 1 percent at any given time. Regularly recording the stay cable forces and comparing them with the predicted values allows MaineDOT to easily assess the condition of the stay cables and their strands without additional expense, special equipment, or interruption to traffic.

As in the Veterans’ Glass City Skyway Bridge, a reference strand can be isolated for research and analytical purposes. Because of this, the designers were able to assist both MaineDOT and the Federal Highway Administration in their goal of developing new materials for bridges by replacing two strands in one short, one medium, and one long stay cable with carbon fiber composite strands. The strands will be monitored and inspected over time in this real-world service environment to evaluate the material for future use in cable-stayed bridge designs across America.

Necessity may have led to this cradle of innovation, but the benefits and advantages it confers have gone far beyond meeting those initial requirements. The cable-stayed cradle provides a new level of flexibility in the design of long-span bridges. By reducing costs and making long-term maintenance of stay cables simpler, this technology enables bridges to achieve a longer life at a lower initial cost. For Toledo and such communities as those in downeast Maine, this means distinctive bridges that not only serve their purposes but also enhance their communities.

____________________________

W. Denney Pate, P.E., M.ASCE, is a senior vice president and principal bridge engineer for FIGG, of Tallahassee, Florida. W. Jay Rohleder, Jr., P.E., S.E., M.ASCE, is a senior vice president of project development for the firm and works from its Exton, Pennsylvania, office.

Sky Watcher

The National Oceanic and Atmospheric Administration’s new Satellite Operations Control Center lies partially buried in a Maryland landscape even as its rooftop dish antennas scan the skies to monitor and control the nation’s weather satellites. Design challenges for this iconic structure included the structural systems needed to support the array of rotating antennas as well as the differing visions of the government agencies that would own and occupy the facility.


The design of the 19,000 m² Satellite Operations Control Center features two main sections—the mat and the bar. The mat is a disk-shaped concrete structure that slips into the surrounding landscape on two sides. Topped by a gently sloping vegetated roof, the mat houses general office space, support services, and an underground parking garage. Rising above the mat is the three-story-tall bar section, which for the most part is windowless and houses the mission control, launch control, and other facilities for monitoring weather satellites via the rooftop array of rotating dish antennas.


Roland Halbe Fotografie, all

The design of the Satellite Operations Control Center, a new facility in Suitland, Maryland, for the National Oceanic and Atmospheric Administration (NOAA), visually links the earth and the sky. One portion of the structure lies half buried beneath the ground; the other rises as a platform to support a long array of skyward-looking dish antennas. The design, realized in concrete, steel, and glass, bears testimony to the facility’s role in studying and protecting the earth’s environment by controlling and monitoring the nation’s weather satellites.

Located on a federal office campus approximately 11 km east of Washington, D.C., the Satellite Operations Control Center houses the National Environmental Satellite, Data, and Information Service, the primary mission of which is to provide timely access for its customers—chiefly NOAA’s National Weather Service—to global environmental data from satellites and other sources. The raw data from these satellites stream into the building through the roof-mounted dish antennas, and the numerical and visual information obtained after processing enables the National Weather Service to create the maps seen on television news broadcasts.

The facility’s 16 antenna dishes are supported on a triangular galvanized space frame truss of tubular steel that extends approximately 25 m beyond the north and south facades of the bar section. A-frame structures—each approximately 20 m tall—provide vertical support for the truss’s gravity loads. Each column in the A-frames is set in its own pad footing foundation.

The new building—which replaces an aging adjacent facility that originally served as an army hospital—houses equipment for monitoring and controlling NOAA’s satellites 24 hours a day, 365 days a year. It also accommodates the mission control center of the Search and Rescue Satellite-Aided Tracking (SARSAT) system, which detects and locates lost mariners, aviators, and others in distress around the world.

A joint venture of the Los Angeles architecture firm Morphosis—led by the Pritzker Architecture Prize–winning architect Thom Mayne—and the Washington, D.C., office of Einhorn Yaffee Prescott Architecture & Engineering, P.C., designed the $54-million facility. The engineering team included the Los Angeles office of Arup for the concept design and Cagley & Associates, Inc., of Rockville, Maryland, as the structural engineer of record.

The design of the facility began in January 2001. That phase was complicated by the challenges that can arise in federal building projects when the owner—the General Services Administration (GSA)—has a vision for the new structure that differs from that of the announced tenant.

In this case the GSA sought an iconic structure as envisioned under the federal government’s Design Excellence Program, which since 1994 has sought to improve the quality and value of public buildings by, among other measures, “selecting America’s best designers and artists to create facilities that ultimately become respected landmarks,” according to the GSA’s online document “Design Excellence: Policies and Procedures.” The new building has been a success in that regard, garnering a citation for design excellence from the GSA in 2002.

Interior View, West Elevation
The GSA also stipulated that the Satellite Operations Control Center should achieve at least silver certification in the U.S. Green Building Council’s Leadership in Energy and Environmental Design (LEED) rating system—a goal that the building appears to be on track toward achieving.

At the same time, NOAA officials expressed interest in a simpler, more utilitarian structure. They also seemed concerned about certain aspects of the planned design, including the fact that much of the structure would be located at least partially underground. The differing viewpoints of the owner and the tenant required a concerted effort on the part of the design team to convince all parties that the proposed design would produce an attractive structure that would meet the occupant’s needs.

Final construction drawings were completed at the end of September 2002. Construction began in May 2003 and was substantially complete by the end of January 2006. NOAA is now in the process of relocating its satellite operations to the new building.

The 19,000 m² facility consists of two main sections—designated by the architects as the mat and the bar. The design of each section depended on whether the functions performed there would be integral to the operation of the satellites or whether the operations would merely provide support.

The mat section is a partially buried disk-shaped concrete structure approximately 126 m in the east–west direction and 100 m in the north–south direction. It slips into the surrounding landscape on two sides, and its gently sloping concrete dome features a vegetated roof. Designed on a


9 m square column grid, the mat houses general office space, support services, and an underground parking garage. The unburied portions of the mat—mostly along its western and southern edges—feature glazed walls and ramps providing vehicular and pedestrian access. Although the central interior portion of the mat section is tall enough for two levels of floors, much of the structure features a single level of double-height space with ceilings that range in height from approximately 4.5 m near the sloping edges to 7 m or more in the central areas.

Cutting across the western half of the mat and rising approximately 20 m higher is the bar section—which houses the mission control, launch control, and computer processing operations in a three-story rectangular structure approximately 90 m long and 20 m wide. The largely windowless bar is aligned north–south to provide unobstructed views of the sky for the rotating satellite dishes that crown the concrete structure. The bar is faced in fiber-cement board and panels of flat and corrugated galvanized steel; its western facade also features galvanized steel letters 5.3 m tall that spell out “NOAA.”

ExteriorView, West Elevation
The building is founded on poor, soft, and wet soils—predominantly nonexpansive clays and sandy silts—in a location where the high water table limits bearing pressures. Heavy rains just before the start of construction only exacerbated these conditions. Although the design team considered using such deep foundation systems as piles or caissons, the best solution turned out to be a concrete mat foundation that varies in thickness from 700 mm under the majority of the mat section to 1,000 mm under the heavier portions that also support the bar section.

The site’s weak soils were stabilized during construction by a combination of techniques, including the use of a perimeter well dewatering system to temporarily draw down the water table; the placement of multiple layers of compacted stone on the soil in numerous locations to provide a stable work platform for construction equipment; and the pouring of a concrete “mud mat” over the stone to provide a dry, stable surface on which to place reinforcing for the foundation. Wherever possible, the advancing mud mat was used as a staging platform. The top of the foundation also serves as the finish surface for a single level of below-grade parking.

The size of the mat section required the use of an expansion joint that runs north–south just east of the bar section. The joint, accommodated by a double row of columns, extends through the mat roof and the office-level slabs. The mat’s foundation slab is monolithic and does not have joints. Another expansion joint runs east–west and is accommodated by a haunch slip joint.

The first level above the foundation, which is located at or below grade at many locations, is the main work floor for the mat section of the facility. Because this section’s domed roof slopes in two directions and the exterior wall curves along its length, this space is curvilinear in both plan and elevation, making concrete a natural framing choice.

The predominant framing system in both the mat and the bar section is a conventional two-way concrete slab system—that is, a system distributing loads in two directions to the supports—measuring 250 mm thick with 150 mm drop panels. But since the plan geometries vary appreciably from floor to floor, several different framing types were used in the structure, including two-way slabs, one-way beam and slab framing, posttensioned beams, and local transfer girder framing. Beam framing in particular was required throughout the building in places where the two-way concrete system was precluded by large openings, large cantilevers, or slab edge locations that could not extend to columns.

The roof of the mat section is supported on round concrete columns that generally are 600 mm in diameter, although larger sizes—710 and 760 mm—are found directly beneath the bar to support the heavier loads of that section.

A two-story space 5.5 m wide surrounds the center of the mat section and is referred to as the ring. It features a cast-in-place concrete slab on a composite deck supported by structural steel framing that fits between the columns. The lower level of the ring contains restrooms, conference rooms, kitchens, and copy rooms. Its upper level houses computer rooms, telephone and data rooms, and rooms for exhaust fans. The upper level also features a pathway that cantilevers 1.6 m over the office space.

The slab over the main work level of the mat section forms the structure’s gently curved roof dome and provides support for the vegetated roof system, which added approximately 195 kg/m² to the roof’s loads. The roof was designed not only to promote drainage but also to emulate the adjacent terrain so that much of the mat section would seem to disappear into the surrounding landscape. The dome shape was created by “bending” two-way concrete panels to the desired shape by placing the top surface of the panel on a slope to create the required shape and then slightly varying the slab thickness. For most of the roof area, this technique was relatively straightforward because the change in the slope of the concrete surface was fairly gradual, being no more than 2 percent over the bay length. But in certain areas the slope gradient was more pronounced—as much as 10 percent over the bay length—and this required a change in conventional slab placement tolerances. Here slabs were allowed to be thicker by as much as 25 mm. This approach enabled the contractor to use conventional flatwork forming along with shoring towers and 1.2 by 2.4 m plywood panels.

Four glass-enclosed courtyards 8 m wide and 24 m long are cut into the roof of the mat section to channel natural daylight into the open office spaces, where most of the employees work. Circular skylights provide additional natural illumination.

The vegetated roof on the concrete dome of the mat section blends this part of the building into the site’s landscape on the northern and eastern edges, minimizing the facility’s visual obtrusiveness. The 12,000 m² roof—one of the largest “green” roof projects on the East Coast—features two layers of a rubberized asphalt waterproofing membrane manufactured by the Henry Company, of El Segundo, California, that help the vegetated roof adhere to the concrete dome, along with a 15 mil (0.38 mm) layer of polyethylene designed to prevent the roots from growing down into the concrete. The roof also includes filter fabric, various layers of primer, and a 102 mm layer of extruded polystyrene insulation that is ribbed at the bottom to promote drainage. Approximately 150 mm of soil low in organic content supports fleshy herbs of the genus Sedum.

The vegetated roof confers many advantages. Besides offering better insulation and protecting the roof membrane, it filters and limits rainwater runoff and reduces the heat island effect.

The lowest level of the bar section is a 1,200 m² room that contains the equipment for processing the raw data received from NOAA’s satellites. The next level is the main launch control center for the facility—an 18 by 54 m column-free, double-height space that gives technicians anywhere within the room an unobstructed view of a large wall of video screens used to track satellite launches and operations. The need for interior columns was eliminated by using five posttensioned beams that span 18 m in crossing the roof. The launch control center also features a small observation area for visitors on the partial third level that overlooks the satellite operations area.

On the roof of the bar section, the facility’s 16 antenna dishes—ranging in diameter from 1 to 9.1 m—are supported on a three-dimensional galvanized space frame truss of tubular steel that extends approximately 25 m beyond the north and south facades of the bar. The truss is triangular in cross section and 8 m in depth. The triangular shape provides resistance to lateral loads—mostly wind—and helps the ends of the truss resist lateral movements and rotation. The steel frames are rigidly connected to the concrete structure at one end by steel plates and reinforcing steel that were embedded into the concrete structure. Truss members were then welded to the steel plates with full penetration welds.

A pair of A-frame structures—one located approximately 10 m back from each end of the truss—provide vertical support for the truss’s gravity loads. Each A-frame is approximately 20 m tall, and its inclined columns are approximately 9 m apart at the bottom. Each column is set in its own pad footing foundation.

Two additional platforms elevated above the main deck at the north end of the truss provide space for antennas with particularly broad sight line requirements.

Placing the antennas on top of the bar section of the building obviated the need for large and costly antenna farms elsewhere at the site, to say nothing of the access roads, power lines, fencing, and other infrastructure that would have been needed for such farms. However, placing the satellite dishes on the roof did impose a strict movement criterion on the building structure in that the antennas would have to be able to track the orbits of various satellites in geosynchronous orbit. The controlling requirement focused on the rotational stiffness of the supporting structures. A system of nine shear walls—each approximately 250 mm thick and for the most part adjacent to stair and elevator cores to avoid loss of usable space—impart the necessary stiffness to the concrete structure. The concrete structure also provides a good deal of stability to the steel space frame, the design of which would have proved very inefficient otherwise.

The roof structure of the bar section was reinforced to sustain the loads of the largest satellite dishes, which are required to resist winds of up to 193 km/h.

As visual testimony to the role that the new building plays in monitoring the earth’s environment, the mat section links the facility to the ground while the bar section’s dish antennas scan the skies. The bar’s roof structure was reinforced to sustain the loads of the largest satellite dishes, which are required to resist wind loads of up to 193 km/h.

Another unique aspect of the project is a steel-framed ramp that projects out of the east side of the building at the roof level to provide maintenance access to the antennas. The ramp is a 2.5 m wide steel grate walking surface that cantilevers 7.5 m from the building face before doubling back on itself. Designed to accommodate maintenance equipment, the ramp takes the place of a freight elevator and provides the necessary space on the active roof surface for maintenance work. The architects’ vision for the building featured exposed concrete throughout the structure. The concrete would be visible in the exposed circular cross sections of the columns, the exposed beam ends, and the undersides of many of the concrete floors, especially the dramatic curve of the mat section’s roof slab. Other predominantly exposed elements include the main access point to the building—a ramp 2 m wide and 40 m long that gives the appearance of a floating walkway because it cantilevers from a beam—and an exposed curvilinear concrete parapet that cantilevers 3 m from the south edge of the mat section’s roof, tapering to a thin edge.

As a final touch, a series of 10 long scrims adorned with satellite images of the earth’s surface and arranged in both north–south and east–west alignments hang from the mat section’s ceiling over the open work spaces, providing a visual reminder of the new facility’s role in environmental stewardship.


Frank S. Malits, P.E., M.ASCE, is a principal of Cagley & Associates, Inc., Rockville, Maryland.

Project Credits


Owner: General Services Administration, Washington, D.C.


Occupant: National Oceanic and Atmospheric Administration


Architecture: Joint venture of Morphosis, Los Angeles, and Einhorn Yaffee Prescott Architecture & Engineering, P.C., Washington, D.C.


Structural engineer of record: Cagley & Associates, Inc., Rockville, Maryland


Structural engineer (concept design): Arup, Los Angeles


Geotechnical engineer: Schnabel Engineering, Gaithersburg, Maryland


General contractor: P.J. Dick, Pittsburgh

First Person - Rethinking Bridge Design: A New Configuration

The new concept of a girder bridge that is partially supported by cables offers exceptional advantages for bridge design in terms of both economy and aesthetics.


Figure 1

T.Y. Lin International

The bridge in the rendering was beautiful, and I was certain it would be a winner. As a matter of fact, everyone who saw it loved it. But the cost was more than the city could afford. The price of the steel box girder was too high. We had to find some way to reduce the cost so that the bridge could be built.

It was a spectacular steel cable-stayed bridge, one with both the tower and the girders designed in steel. In China, where the bridge was to be located, a steel girder is usually about twice as expensive as a concrete girder, but a concrete girder is about three times heavier. Changing the girder to concrete would have reduced the cost of the girder, but owing to the increased weight it would also have required a significant increase in the size of the tower, which again would have been unacceptable, both economically and aesthetically. The need to solve that problem led to my development of the concept of a girder bridge that receives some of its support from cables.

Photo composition by Huang He
Generally, all bridges in the world can be grouped into four basic types: girder bridges, cable-stayed bridges, suspension bridges, and arch bridges (see figure 1). In the case of a girder bridge, the girder is self-supporting. With respect to the other three types of bridges, the girder is supported by cables or spandrels. The girder in these three types of bridges is usually very weak and relies entirely on the cables to carry all loads, which include the weight of the girder itself and all superimposed loads. In a cable-stayed bridge or a suspension bridge, the cables transfer the loads to the towers, which then carry the loads to the foundation. In an arch bridge, the loads borne by the cables or spandrels are transferred to the arch ribs, which carry the loads to the foundation. We can regard these three types of bridges as cable-supported bridges in which the cables are the primary carrying members and the girder is a secondary member.

However, in many instances, especially bridges with short or medium spans, the girder itself possesses a certain amount of capacity. So, I wondered, what if we were to reverse the roles of the two structural elements, employing the girder as the primary member and the cable support as the secondary member? In this way, we would be able to fully utilize the capacity of the girder. This is the concept of a bridge wherein some of the support is provided by cables, an approach that enabled me to use a prestressed-concrete girder in the bridge design and remain within budget.

This is how it works:

In the case of girder bridges with medium span lengths, the rule of thumb is that the appropriate depth of a haunched prestressed-concrete girder at the supports is approximately 1/20 of the span length. For a 100 m span, the girder depth at the supports should be about 5 m. For a girder with constant depth, the span-to-depth ratio may be increased to about 26. For girder bridges with shallower girder depths, the girder will require some additional support. The extradosed bridge is a good example: the girder depth is usually much less than 1/26 of the span and therefore support by external cables is necessary.

For the other three types of bridges in which the girder is supported by cables, the girder depth is not a function of the span length but rather is dictated by constructability and certain other factors. For example, the conventional thinking in the design of a cable-stayed bridge is that the cables carry all of the permanent loads on and of the girder, so under permanent load conditions the girder should have very little bending moment. Most of the live load also is to be carried by the cables. Only because of stiffness compatibility will the girder receive a limited amount of bending under live loads. With such a concept, the girder can be made very slender. In most cases the girders actually are very slender. The ratio of span to girder depth can be as high as 350 in a cable-stayed bridge and can exceed 600 in a suspension bridge. Because the cables are to carry all loads on the girder, the stiffness of the girder is not a major factor in the behavior of the bridge.

A partially cable-supported girder bridge uses cables to impart additional strength to a girder bridge that by itself would not be able to attain a given span length. Depending on the capacity of the girder, this degree of support may vary. The support can be provided by stay cables, by a suspension cable with hangers, or by hangers from an arch. By definition, therefore, there are three different types of partially cable-supported girder bridges: the partially cable-stayed girder bridge, the partially suspended girder bridge, and the partially arch-supported girder bridge. Obviously, there are also many variations within each of the categories. Partial support means that only part of the girder has cable support or that the entire girder is supported by cables that carry only a portion of the loads.

Figure 2

Li Dajiang

Returning to the bridge I mentioned at the beginning of this article—the Taijiang Bridge (see figure 2)—the structure will be situated in the city of Sanming, near Fuzhou, China, and will cross the Sha (Sa) River. Two 110 m adjacent spans will satisfy the local navigation requirement. The owner desires a signature bridge that reflects Chinese design influences. T.Y. Lin International’s Chong-qing office is serving as the design engineer for the project.

The two ends of the bridge are tied into local streets. Hence the elevations at both ends are fixed. The bridge serves a high volume of pedestrian traffic and bicycles, so the grade must be rather modest. Furthermore, the bridge must remain above the high-water level during flooding. These restrictions dictate the allowable depth of the girder. The deck is also very close to the water level, so a deep girder would not be aesthetically pleasing. The bridge in the rendering—as originally designed with a steel box girder—would have satisfied all of the requirements except those relating to cost.

The tower as designed would have been capable of carrying the entire weight of the girder if the girder had been a steel box with an orthotropic deck. (The weight of such a deck should be less than half that of a concrete box girder.) But the cost of the steel box girder would have made the project too expensive. Thus the idea of a bridge that would receive some of its support from cables was born. Instead of the steel box girder, we used a 2.80 m deep prestressed-concrete girder. This yielded a span-to-depth ratio of 39.3. Obviously the 2.80 m depth was not sufficient for a 110 m girder bridge span, although it would have been more than adequate for a cable-stayed bridge. We then decided to have stay cables bear part of the girder load. First we estimated the maximum capacity of the girder and compared it with the total load the girder had to carry. The difference was the amount of support the girder would need in order to function properly. The tower could then be designed based on this requirement. In the final design, the amount of permanent load carried by the tower was approximately 50 percent of the total load. The 2.80 m girder depth was also appropriate for the 60 m long approach spans.

The resulting bridge is a beautiful structure that is economical and aesthetically pleasing. It is neither a girder bridge nor a conventional cable-stayed bridge. Rather, it is a girder bridge that receives some of its support from cables.

Figure 3

Li Dajiang


The advantage of this concept can be explained as follows: The bending moment of a girder bridge determines the required depth or the cross section of the girder. The bending moment, M, in any point of the girder can be expressed as

where p is the load applied on the bridge, L is the span length, and is a coefficient related to the location of the point under consideration, the type of loading, and the structural system of the bridge. Thus, if we can have a cable system that carries 50 percent of the load, the bending moment will be reduced by 50 percent. In other words, for the same girder depth, the span can be extended by a factor of (1/0.5) = 1.414. Consequently, the ratio of span to girder depth can be increased to 1.414 × 26 = 36.8. This is certainly oversimplified, but the rationale offers a rather good approximation. The actual benefit is greater because stay cables also introduce a large compression force into the girder, which is very beneficial to a concrete girder. The same is true of a self-anchored suspension system.

Certainly, when we provide partial cable support to a girder bridge, both the girder and the cable system will be affected by all applied loads. However, while the amount of live load each will carry is strictly based on its relative stiffness, the cable forces under permanent loads can be adjusted to any rational value we desire. For a bridge of medium span, the permanent load of a concrete girder is usually much higher than the live load. Once the permanent load condition is established, the effect of live load is not as significant. In the Taijiang Bridge, the live-load stress in the cables is generally less than 8 percent of the maximum stress.

Furthermore, it is not necessary to assign a fixed percentage of load to every cable. Each individual cable force can be selected to offer the maximum effect. As a result, some may carry 100 percent of the local load while others may carry only 10 percent.

Figure 4

Li Dajiang

Part of the girder in deck arch and half-through arch bridges is supported by spandrels. The spandrel can be open with columns or it can be closed, in which case it takes the form of double walls. The spandrels act in the same way as cable hangers except that spandrels are in compression rather than in tension. Therefore, for simplicity, we assume that it is understood that when we mention cable supports spandrels are included.

The extradosed bridge can be viewed as a special instance of this concept. But an extradosed bridge has particular definitions, for example, the inclination of the cables and the location of the cables. If we increase the tower height of an extradosed bridge to make the cables more effective, the structure can no longer be defined as an extradosed bridge. We can also use cables to support the middle portion of the span. In that case the structure becomes a girder bridge that receives some of its support from cables, that is, a partially cable-stayed girder bridge.

T.Y. Lin International is working on a number of bridges in China. This has afforded me the opportunity to apply the concept to several other bridges with good results given the success attained in the design of the Taijiang Bridge. The Sanhao Bridge (see figure 3), in Shenyang, is another example of how a girder bridge that receives some of its support from cables has made a special bridge project possible. Shenyang is the capital of Liaoning, a province in northern China. The owner fell in love with the beauty of the bridge scheme when it was proposed. However, the cost of the bridge that was originally proposed, which featured a steel box girder and steel towers, was prohibitive. It was to be a fully cable-stayed bridge in which the entire weight of the steel box girder was to be carried by the cables to the tower. Consequently, in order to stay within budget I modified the design to a partially cable-stayed bridge with steel towers and a prestressed-concrete girder.

The prestressed-concrete girder is 2.6 m deep, and the two adjacent main spans are each 100 m long. The ratio of span to girder depth is 38.5. A study shows that this girder is capable of carrying about 60 percent of the total load. Therefore, the towers are required to carry only about 40 percent of the total load.

Taking advantage of the shallow water, the prestressed-concrete girder will be constructed on falsework. Once the girder is complete, we will assemble the tower arches, which will lie flat, on top of the deck. A temporary tower will be erected between these two arches, and the arch ribs will be raised by winches from the temporary tower to their final position before the final cables are installed.

Another example is the Jiayue Bridge (see figure 4), which crosses the Jialing River in the city of Chongqing. The bridge deck is about 70 m above water level amidst a picturesque and serene landscape. Navigation dictates that the main span be at least 230 m at this location. A haunched prestressed-concrete girder would be too bulky for such a landscape, whereas a conventional cable-stayed bridge with tall towers over the already very deep gorge would not be acceptable from an aesthetic point of view. Therefore we decided to reduce the height of the tower to an acceptable level and increase the capacity of the girder to carry a large portion of the loads. This resulted in a bridge that will receive some of its support from cables. It is not a true extradosed bridge, even though it looks like one; the towers are taller and therefore the cables are more efficient than the cables in a conventional extradosed bridge. In this case, the cables are designed to meet the same specifications as those in a regular cable-stayed bridge.

A girder that receives some of its support from cables may assume various forms. Aside from the stay cables, the partial support can come from a suspension system or an arch system. Like fully cable-stayed bridges, both suspension bridges and arch bridges are usually designed in such a way that the entire load of the girder is carried by the suspension cable or the arch. This may not be economical in the case of bridges with short or medium spans because the capacity of the girder itself is not being fully utilized. When we utilize the girder capacity to the fullest possible extent, savings can be realized in the supporting cables and towers or arch ribs.

Figure 5

T.Y. Lin International, both



Figure 5 illustrates several possible schemes of partial cable support. If the cables are designed to carry a portion of the load for the entire length of the bridge, a partially cable-supported bridge will look exactly like a regular cable-supported bridge except that its towers may appear more slender. If the cables are designed to apply to only a portion of the bridge—as in the Jiayue Bridge—the appearance of the bridge will be different. This difference, in many instances, may be just what is wanted for aesthetic or other reasons. With respect to the Jiayue Bridge, a pair of tall towers would not complement the landscape. In many instances, the tower height of a cable-supported bridge may be restricted by the flight path of a nearby airport or for other reasons. Here a system that receives some of its support from cables can yield a variety of benefits.

The graph in figure 6 can be used to estimate the effectiveness of various partial supports. For example, the blue curve shows that if we apply a uniform load on the middle third of the girder span, the fixed-end moment will be equivalent to about 50 percent of the fixed-end moment resulting from a uniform load along the entire span. Consequently, by applying the partial cable force selectively, we can achieve greater efficiency.

The percentage of load carried by the girder and the cable support should be determined by the condition of the bridge in question. The most efficient design is the one that uses both capacities fully. If the girder is very flexible, the cable support will take up most of the load, so the bridge will approximate a conventional cable-supported bridge. If the support is very small, the structure will behave more like a girder bridge.

The advantage of a partially cable-supported girder bridge is that the capacity of each of the two load-carrying systems—the girder itself and the cable supports—can be fully utilized. This makes the structure more efficient economically. This advantage is especially significant in bridges with spans of no more than 250 m. Because considerations of constructability usually dictate a minimum girder depth of 2 to 3.5 m, such a girder is inherently able to carry a certain portion of the loading. This capacity has not been fully utilized until now.

Constructing a bridge that receives some of its support from cables imposes no special requirements. There are always many ways to build a bridge. We carry out construction engineering analyses to find the most efficient way to build a given structure. Each project is unique. We must consider such factors as the capacity of the structure in each construction stage, the site conditions, the available equipment, the labor force, and the transport of materials.

Figure 6

For example, most engineers define an extradosed bridge as one in which the girder can be constructed first without any cable support. Many even expect the cables to be effective only for live loads. But these restrictions are unnecessary and they confer no practical benefit to the construction process or the final structure. There is no reason why the cables cannot be installed and stressed as the girder is constructed if this will simplify or expedite construction or increase safety. We should not impose such restrictions on the construction of partially cable-supported bridges.

Of the three examples described above, the Sanhao Bridge and the Taijiang Bridge will be built on falsework because this will simplify construction and can easily be done during the low-water season. This method of construction is very efficient. We expect to see more of it in the future.

Falsework support is obviously out of the question in the case of the Jiayue Bridge because of the height of the girder above the water level. The contractor will construct the girder by using the free cantilever method. But the cables will be installed and stressed shortly after the cantilever segment has been completed and the traveler has been advanced to allow cable installation without interference. This will also shorten the construction schedule.

The engineers who participated in the development and design of the three bridges partially supported by cables described in this article—all of which are currently under construction—include Yang Lianzhang, Jiang Zhonggui, Yin Delan, Ren Guolei, Yang Chun, Ma Zhengdong, Xi Jianshan, Liu Anshang, and Liu Xueshan, all of whom work for T.Y. Lin International in Chongqing. In many areas where prestressed-concrete girders are much less expensive than steel box girders, it can be anticipated that more bridges utilizing this concept will be built. However, the concept is not restricted to the use of concrete girders. Even with steel, designing a bridge based on this concept can achieve savings by fully utilizing the capacity of the steel girder.

China is about the size of the United States but is much more mountainous. Many of its smaller cities are bisected by rivers. These cities need bridges with medium spans. For the bridges in these cities, girder bridges that receive some of their support from cables can offer great advantages both economically and aesthetically.



Man-Chung Tang, Dr.-Ing., P.E., Hon.M.ASCE, is the chairman of the board of T.Y. Lin International, headquartered in San Francisco.

Thursday, January 17, 2008

Xương Rồng


Nó là một cây hoa nhỏ bé, sống trong một vùng đất màu mỡ. Ngày ngày, nó vui với ong, hát với gió… cuộc sống quá đầy đủ mà nó như cảm thấy thiếu thốn một thứ gì đó rất to lớn. Rồi một ngày kia, cơn gió đến, nói cho nó biết về cuộc sống của những cây xương rồng kia, mỗi ngày là một sự thử thách khắc nghiệt, đấu tranh để sinh tồn. Nó thấy trong lòng mình bỗng lấp đầy được khoảng còn thiếu đó. Nó biết rất rõ mình muốn gì. Nó bảo với gió: - Gió ơi, tôi muốn đến vùng đất của xương rồng! Gió đem tôi tới đó được không? Gió ngỡ ngàng: - Bạn sao thế? Bạn chỉ là một cây hoa nhỏ bé, cuộc sống của bạn là điều mà bao cây xương rồng mong ước, tại sao bạn lại muốn vứt bỏ nó đi?? - Tôi cũng không biết nữa, nhưng tôi cảm thấy nếu tôi cứ mãi ở đây, tôi sẽ sống và chết đi như bao loài hoa khác. Tôi muốn đến vùng đất của xương rồng, khi đó, lúc tôi nở hoa là lúc tôi khẳng định được sự tồn tại của mình. Gió hãy mang tôi theo với. Rồi nó, cây hoa nhỏ bé, nương nhờ làn gió đi tới nơi mà ở đó, nó biết, là nơi nó sẽ tìm thấy ý nghĩa cuộc sống của mình. Nó vượt qua bao cánh đồng, bao dãy núi xanh hùng vĩ. Nó rất phấn khích, ca hát cùng gió, tin rằng, đó là sự lựa chọn đúng đắn của mình. - Này, cây hoa bé nhỏ ơi, tôi biết bạn muốn gì, nhưng cuộc sống ở đó không phải lúc nào cũng như ý bạn muốn được đâu. Nếu bạn buông xuôi, đồng nghĩa bạn thất bại và kết thúc. - Tôi biết. Nói tôi không sợ thì là nói dối. Nhưng không hiểu sao tôi biết đó là điều mà tôi nên làm. Rồi nó cảm thấy, không khí xung quanh mình ngày một nóng dần, khô héo. Ngay đến cơn gió cũng không còn mát mẻ với nó như xưa nữa. Nó biết, mình đã đến nơi cần đến. Và nó cảm thấy, nó đã biến thành một cây xương rồng nhỏ nhoi, yếu ớt đang chuẩn bị bước vào cuộc chiến sinh tồn khắc nghiệt. Nó bắt đầu cuộc sống khắc nghiệt của mình ở vùng đất chỉ toàn cát và đá đó. Sự xuất hiện của nó là một điều gì đó khá mới mẻ đối với các anh xương rồng ở đây. Sự dạn dày sương gió khiến các anh rõ ràng trưởng thành và chín chắn hơn nó nhiều. Mỗi ngày, thấy nó vất vả, cố chắt bóp những làn nước khan hiếm trong bầu trời nóng như thiêu đốt, cố đâm rễ sâu hơn vào mặt đất mà nó biết, bên dưới kia có thứ mà nó cần: NƯỚC... Các anh xương rồng bỗng muốn che chở cho nó, sẵn sàng giúp nó khi nó cần và nhường nó những phần nước ít ỏi. Nó mệt mỏi tiếp nhận những thứ đó và cảm thấy thật may mắn vì có các anh ở đây với nó, cảm thấy chưa bao giờ nó được quan tâm săn sóc như ở đây. Bỗng một ngày, nó nhận ra, nó đến đây không phải để làm gánh nặng cho người khác. Đến đây không phải để được bảo bọc, dựa dẫm. Mệt lắm, khát lắm. Nhưng nó dần từ chối sự ưu ái mà những người ở đây dành cho nó. Nó muốn các cây xương rồng hiểu, nó làm vậy là vì nó muốn xứng đáng với họ và xứng đáng với tình cảm mà mọi người dành cho nó cũng như nó dành cho mọi người. Nhưng như vậy cũng đồng nghĩa với việc cuộc sống của nó càng trở nên khó khăn hơn bao giờ hết. Có đôi lúc, ngắm những vì sao đêm sau một ngày mệt mỏi, nó tự hỏi tại sao mình phải cố gắng như thế?? tại sao mình cứ từ chối những gì nhẹ nhành mà lại tự tạo ra những khó khăn cho mình?? Bản chất nó vẫn là một cây hoa nhỏ bé và yếu đuối mà thôi. Liệu nó có vượt qua được không?? Có đôi lúc quá khát và quá mỏi mệt, nó đã muốn bỏ cuộc. Đã nhiều lúc, nó quay trở lại làm cây hoa nhỏ bé đó, nhiều lắm. Nhưng không hiểu sao, nó vẫn cố đi tiếp...

Thursday, June 21, 2007

Bắt đầu bằng một điều gì đó mới mẻ