HENRY PETROSKI, [email protected] ALEKSANDAR S. VESIC Duke University, P.O. Box 90287, Durham, NC 27708 U.S.A. STRUCTURAL FAILURE: A HISTORICAL PERSPECTIVE AWARIE BUDOWLANE – PERSPEKTYWA HISTORYCZNA Abstract For as long as there has been construction, there have been structural failures. Why this is so will be explored in this talk. Common root causes for failures that have occurred centuries apart will be discussed. Case studies of failures from ancient times through the present will be employed as illustrative examples. It will be demonstrated that in spite of great advances in building technology, modern failures attributable to ancient causes continue to occur. Putting failure in a broad historical perspective will be proposed as a means of reducing the occurrence of failure in the future. Streszczenie Awarie budowlane istnieją od zarania działalności budowlanej. Źródła tego stanu rzeczy są przedstawione w tym wystąpieniu. Wspólne przyczyny awarii oddzielonych od siebie wiekami są poddane dyskusji. Historie indywidualnych katastrof są uŜyte jako ilustracje omawianych zagadnień. Odczyt ten postuluje, Ŝe mimo wielkiego postępu technologii budowlanej, wciąŜ pojawia się łączność między awariami współczesnymi i tymi z zamierzchłej historii. Analiza awarii w szerokim kontekście perspektywy historycznej jest proponowana tutaj jako sposób na zmniejszenie prawdopodobieństwa awarii w przyszłości. 1. Introduction The history of structural engineering is often presented as a succession of outstanding achievements, with record-setting structures marking ever-forward progress. But the reality is that the history is punctuated by landmark failures, which have interrupted the monotonic flow of improvement that is generally seen as being embodied in longer, taller, and more efficient structures. While the failures may present temporary setbacks in the advancement of structural knowledge and accomplishment, ultimately it is precisely those failures that enable the field to rediscover its roots and get back on track with renewed clarity of purpose and an improved understanding of its limitations. The earliest structures may have been suggested to the primitive engineer by the chance discovery of a tree fallen across a stream or a cave carved out of a hillside. Such a found bridge or shelter would naturally have its shortcomings, and it seems to be in the nature of engineers to improve the world as we find it. A tree trunk used as a bridge presents numerous shortcomings: it may not be in a convenient position; its rounded surface allows it to roll out of position and requires the user to cross over it carefully; it will eventually deteriorate and become weakened. Such present and anticipated failures are what must have driven the earliest of engineers to seek to make a better bridge. This could have been done simply by repositioning the fallen tree so that it provided a more convenient path across the stream. To make for a more secure bridge, rocks and stones could have been wedged against it to keep it from rolling sideways. To have a longer lasting bridge, a less rotted tree trunk could 142 Petroski H. i inni: Structural failure: a historical perspective have been moved into place. Such deliberate actions are what we know as design, and the products of design are new structures. The nature of design is timeless, in that the mental process whereby we conceive and develop a structure is fundamentally the same today as it was millennia ago. The truth of this is evident when we read the oldest surviving works on engineering. By inference, the nature of design in ancient times was not fundamentally different from what it was in prehistoric times, when primitive engineers moved tree trunks to build better bridges. Our store of experience and knowledge have grown since prehistoric and ancient times, of course, and we have developed analytical and computational tools that enable us to conceive of and build structures of which our distant ancestors could hardly have dreamed. Nevertheless, our advances are rooted in the same timeless mental processes that characterize design. Among the characteristics of those processes are that they are imperfect and can be misleading, and thus they sometimes lead to ill-conceived structures that end in failure. This has always been the case, and there is no reason to think that it will not continue to be the case in the future. 2. Ancient Engineering Egyptian engineering achievement is epitomized by the Pyramids. It remains debatable how these massive piles of stones with sophisticated internal structures were built, but it cannot be doubted that they were designed. Indeed, it is often said that the earliest engineer who is known by name is the Pyramid builder Imhotep, who flourished in the 27th century BC. When Imhotep was charged with constructing a tomb for Pharaoh Zoser, he looked to improve upon the traditional mastaba, which was a relatively low, rectangular burial structure whose brick walls sloped inward as they rose. Among the improvements advanced by Imhotep were to build higher and to use stone facing to make what would be called a stepped pyramid. Imhotep’s achievement served as a successful structure upon which subsequent engineers could elaborate and improve. Among the first improvements was to fill in the steps and thus produce a pyramid with straight rather than serrated edges. Further improvement was achieved by increasing the angle at which the sides were inclined, thereby producing a more sharply pointed structure. This aesthetic was achieved in the Meidum pyramid, but after a few centuries its outer facing failed, leaving exposed its underlying stepped structure. In the meantime, a pyramid under construction at Dahshur was rising with sides inclined at an unprecedented 54° angle to the horizontal. Whether driven by actual experience with the pyramid or just the fear that its steep sides were too daring, at approximately half its final height the angle of the Dahshur pyramid’s sides was reduced to 45°, thereby causing it to be known as the Bent Pyramid. In ancient Egypt, as in the modern world, success prompts structural experimentation to the point of failure. The ancient Romans also built in stone, of course, but their legacy is characterized more by rounded than by pointed structures. The rules of thumb governing the proportions of arch span to pier width for the classic semicircular Roman arch bridge are believed to have been arrived at through trial and error. Then, as now, it was design that drove trial and failure that exposed error. The Romans also designed and constructed domes, the most well-known one being the open concrete dome of the Pantheon. Like the Egyptian pyramids, exactly how this structure was built remains a topic of some debate, and the function of the stepped rings that encircle its base continue to be speculated upon. The most convincing explanation for the rings is that they add mass around the dome’s periphery and thereby buttress its base against spreading out and cracking, a problem that has plagued masonry domes throughout history. Referaty plenarne 143 The ancient Greeks also built in stone, and they tested the limits of its strength in tension. Greek architecture relied heavily upon post-and-lintel construction, as epitomized in the serial columns and architraves of its temples. Vitruvius discusses the design of such temples in considerable detail, cataloging five classes, each of which he distinguished by the spacing of the columns relative to their thickness. In discussing the aesthetic and practical advantages and disadvantages of each of the styles, Vitruvius pointed out that stone or marble architraves could be used only when the spacing between the columns upon which they rest was no more than three column widths. When the columns were this far apart, he warned, the architraves might break. To design a temple with a wider column spacing, Vitruvius asserted, wooden beams rather than stone or marble architraves were to be used to span the distance between the columns. In other words, there was a clear recognition that it was the possibility of failure that defined the limits of structure and architecture and produced the classic look of Greek temples. 3. Medieval Cathedrals In the Middle Ages, geometric considerations continued to govern design, just as they had in ancient times. Vitruvius remained the standard work on architecture and engineering, and his anthropomorphic rules for proportioning columns were made explicit in the caryatids. The architectural design of medieval cathedrals was based on geometric principles rather than on structural ones. The aesthetic of taller columns, higher naves, and increasing expanses of glass drove the evolution of structure. Considerations of strength and stiffness generally arose only when a problem surfaced, as it did when the choir and vaulting of Beauvais Cathedral collapsed in 1284 and defined structural limits. As Gothic cathedrals had been designed and built higher and lighter, the effects of wind pressure on their great expanses of wall, window, and roof began to reveal themselves. Spaces opened up between stones and there naturally arose concerns about failure. Flying buttress were introduced to counter the effects of the wind, bracing the cathedral against the wind in the way a man might lean against a heavy piece of timber to raise it to the vertical. What began as structural retrofits against failure became architectural icons that now characterize a genre. 4. Renaissance Engineering The primacy of geometry in design, which Leonardo symbolized in his famous drawing of Vitruvian man, continued into the Renaissance. What also continued into the Renaissance was the occurrence of structural failure. When Galileo was forbidden to write further about the heavens, he turned his attention to more mundane things, including the strength of materials. He opens his Dialogues Concerning Two New Sciences by pointing out the limitations of Renaissance engineering. He did so by focusing on failures. As had been the case since ancient times, moving an obelisk was fraught with danger, Galileo reminded his readers. If the monolith were not handled carefully, there was the danger that it could break before it could be erected onto its base. The elaborate precautions that accompanied the moving of the Vatican obelisk in 1586 provide a prime example of the difficulty and delicacy of the task. Galileo further reminded his readers that large ships were also subject to breaking spontaneously upon being launched. That obelisks and ships could break apart was clear to everyone, but why such things happened remained a mystery. If smaller obelisks and ships were structurally robust, why were larger versions so subject to failure? The design of these structures followed strict geometric rules, but when they 144 Petroski H. i inni: Structural failure: a historical perspective reached a certain size they obviously could not hold themselves together. Galileo pointed out that designs in nature did not follow geometric rules as closely as Renaissance engineers and architects did. Corresponding bones of two animals, one three times as long as the other, did not maintain that same proportion in their cross dimension. Natural designs, Galileo concluded, took account of something in addition to geometry. That additional factor, he believed, was the strength of the material involved. Fig. 1. Corresponding bones in animals whose sizes are in the ratio 1:3 Galileo incorporated the strength of the material in his brilliant analysis of the cantilever beam. Using a lever principle, he equated the moments of the weight loading the beam at its end and of the internal force keeping the beam from breaking away from the wall. If the breaking strength were determined by some independent tensile test, to use modern terminology, then Galileo’s resulting “formula” would predict the weight that could be supported at the end of a beam of specified dimensions. Conversely, as a design tool, it would provide the relationship among the weight supported, the dimensions of the beam, and the strength of the material of which it was made. Furthermore, Galileo realized, solving the problem of the cantilever enabled him to explain the behavior of other kinds of beams, such as simply supported ones. Galileo’s analytical approach was brilliant, befitting the genius that he was. Fig. 2. Galileo’s cantilever beam However, even geniuses can make a mistake, which can lead to failure. Galileo’s analysis of the cantilever beam effectively yielded what we would today term a design formula of great utility. His result was applicable to the design of beams of all sorts, including water piping. The tendency then as now, however, was to apply a factor of safety to a new and untested result and to progressively reduce that factor of safety as successful results stemming from its use were experienced. In the case of Galileo’s result for the cantilever beam, when the factor of safety was reduced to about 3, pipes designed according to it began to fail. Referaty plenarne 145 What had happened was that Galileo’s analysis was flawed by an oversimplifying assumption. He had assumed, again in modern terminology, that the stress at the wall was uniformly distributed throughout the entire cross section of the beam. This caused his result to be off by a factor of 3, which explains why pipes designed with that safety factor began to fail. It is ironic that Galileo made the error that he did, for in his introductory discussion leading up to his analysis of the cantilever beam he describes a failure that resulted from making a wrong assumption. The situation that Galileo described involved a long piece of marble that was resting on two supports, one near each end, in a storage yard. According to Galileo, an astute observer saw the marble beam as analogous to an obelisk being moved or a ship being launched, and so worried that it could break spontaneously. This concern was dealt with by adding a third support under the middle of the beam, thereby obviating its collapse. Everyone involved had thought this to be an excellent idea, but after some time the piece of marble was found to be broken in two. The end supports had settled, leaving the beam balanced upon the fresh central support, cantilevered out to each side of it. Instead of the beam collapsing down in the middle, as had been feared, its center remained in place and its two ends collapsed downward. The assumption had been that failure would be precluded by the addition of the third support, but that assumption overlooked the fact that changing the design of the support introduced a potential new mode of failure. Any change to any structural system changes the system and introduces new failure modes. Fig. 3. Failure modes for a marble column in storage as a beam 5. Railroad Mania Although Galileo made an oversimplifying assumption in his analysis of the cantilever beam, his method of analysis represented a breakthrough in taking into account both the geometry and strength of a structure. However, two centuries later the state of structural analysis as practiced by engineers remained primitive and only capable of attacking relatively simple problems. During the period of railway mania in Britain, when new routes were being developed at a frantic pace, designers often had to rely upon experiments and empirical formulas. Crossing the Menai Strait in Wales with a railroad bridge provides an example in which failure played a key role. The strait had been crossed by a suspension bridge for two decades when it came time in the mid-1840s to carry railroad trains across it. However, the suspension bridge had a light and flexible deck, which was deemed inadequate for the weight of locomotives. A new bridge dedicated to rail traffic was proposed nearby. The engineer Robert Stephenson conceived of a bridge with spans of the order of 450 feet that would be built up of wrought-iron plates riveted together to form massive tubes. Exactly what form the tubes would take was determined by scale-model experiments, in which the tubes were loaded to failure. The results of these experiments not only provided a means for selecting a 146 Petroski H. i inni: Structural failure: a historical perspective rectangular cross section for the full-size tubes but also where the model tubes broke or buckled identified points of weaknesses and thereby allowed for iterations toward a robust design. Increasingly larger tubes were tested, and an empirical formula for their strength was developed from the data. However, as with civil engineering structures generally, the ultimate model was the full-size structure itself, which when in place was proof-tested under the weight of a string of locomotives. The Britannia Bridge passed the test and was declared a structural success. Fig. 4. Britannia Tubular Bridge The tubular bridge form was short-lived, however. Only a half dozen or so were built worldwide, in part because although successful structurally they were environmental failures. With the tracks laid inside the tube, the smoke that the coal- and wood-burning locomotives emitted created a dirty and suffocating experience for passengers. Furthermore, in the heat of summer, the interior of the wrought-iron tubes grew oppressively warm and uncomfortable. Finally, the cost of labor and materials involved in riveting wrought-iron plates into a tubular structure made it uneconomical. The death knell for the tubular bridge design was sounded with the appearance of alternative truss-like designs, which were not only less costly but also provided a more comfortable passenger experience. However, it was the catastrophic failure of bridges that was to plague the railroad industry and greatly influence the evolution of structural types used. Some early railroad bridges had been simple cast-iron beams, but since these were suitable for use only up to about a 50-foot span, longer spanning bridges had to be of another design. One early bridge type was the trussed girder, which typically consisted of three cast-iron girders bolted end-toend and post-tensioned with wrought-iron bars, and this was the type that was employed in the Dee Bridge, which in 1847 collapsed under a train, killing five passengers. The accident led to an inquest and an investigation by a royal commission, which looked into the use of iron in railway bridges. There was considerable contemporary debate about what caused the accident, which was attributed to the brittle fracture of cast iron. It was over a century and a half later, when the forensic engineer Peter Lewis revisited the matter, that fatigue crack propagation was identified as the most likely cause. Another landmark railroad-bridge failure was that of the Tay Bridge, which crossed the river near Dundee, Scotland. During a storm in 1879, the bridge’s high girders fell suddenly and claimed seventy-five lives. This accident was investigated by a royal commission, which concluded that the bridge was poorly designed, poorly constructed, and poorly maintained. High winds were believed to have blown the highest and longest spans of the truss bridge Referaty plenarne 147 and the train driving through it into the river. Peter Lewis also revisited this accident and, by digitizing and blowing up details of some contemporary photographs of the accident scene, was able to demonstrate convincingly that this failure too was ultimately caused by fatigue failures of lugs by which critical bracing was attached to the columns that formed the piers. Fig. 5. Dee Bridge failure of 1847 Thomas Bouch, the engineer who designed the Tay Bridge, had also been commissioned to design another bridge sixty miles south on the same railroad line. His design for a bridge across the Firth of Forth near Edinburgh, was for a suspension bridge. However, following the collapse of his Tay Bridge, Bouch was replaced as engineer for the new crossing. Instead of a suspension bridge, the Forth Bridge was designed and built as a cantilever, with record spans of 1,710 feet. The bridge, being designed as it was in the wake of the Tay disaster, appeared to some to be overdesigned, but it has served the railroad well since it was completed in 1890. The practice of designing and building a very substantial and different looking structure in the wake of an accident with which it is associated is common. A third landmark railroad-bridge collapse occurred in 1907 near Quebec, Canada. With a span of 1,800 feet, this bridge was to have been the longest cantilever in the world. Its chief consultant and de facto chief engineer was Theodore Cooper, and the record-setting span was to be the crowning achievement of a long and distinguished career. However, while the bridge was being built Cooper did not visit the construction site and relied upon reports from inexperienced junior engineers to keep him apprised of progress. The engineer who carried out the design calculations had underestimated the weight of the structure, and some key compression members began to show signs of being overloaded as steel continued to be added to bridge. These warning signs were not communicated to Cooper until it was too late; the bridge collapsed and claimed the lives of seventy-five construction workers. It was redesigned as a more substantial and geometrically more easily analyzed structure and a century later remained the longest cantilever span in the world. 148 Petroski H. i inni: Structural failure: a historical perspective Fig. 6. Quebec Bridge under construction in 1907, just before the cantilever collapsed 6. Suspension Bridges The modern suspension bridge dates from the early nineteenth century, when iron began to be used for the structure’s chains and cable wire. At the time, the traffic using such bridges consisted of pedestrians, horses, and wagons, and thus was relatively light. The roadway suspended from the chains or cables was accordingly made light and flexible. Although such decks were frequently destroyed during wind storms, replacing them was not especially difficult or expensive. With the development of the railroads, however, such flexible decks made the suspension bridge form unsuited to the heavier loads. Especially in Britain, as discussed above, this led to the design of such unusual bridge structures as the tubular Britannia. Fig. 7. John Roebling’s 1854 Niagara Gorge Suspension Bridge The American engineer John Roebling did not dismiss the suspension bridge form out of hand. He studied whatever literature he could find available on the many suspension bridge failures that had occurred in the early nineteenth century and distilled from them the rather basic conclusion that storms were the enemy of suspension bridge decks, a conclusion he published in 1841. Starting with a definitive knowledge of the destructive force that was the root cause of the failures, Roebling came up with a scheme for designing suspension-bridge decks that could survive storms. He reasoned that the deck should be sufficiently heavy so that it had inertia to stay in place against gusting winds. He also insisted that the deck should have sufficient stiffness so that it would maintain its shape in the wind. And, he specified that the deck should be anchored via cables to relatively immovable objects like the bridge Referaty plenarne 149 towers or canyon walls. Roebling successfully applied his principles to the design of the Niagara Gorge Suspension Bridge, which in 1854 became the first suspension bridge to carry railroad trains. Roebling’s insistence that his bridges be designed with weight, stiffness, and stays produced such successful structures as the bridge across the Ohio River at Cincinnati and, his masterpiece, the Brooklyn Bridge. Completed posthumously in 1883 with an almost 1,600foot main span, the Brooklyn Bridge provided a successful model for subsequent suspension bridge designers to emulate. And they did so, but they did not heed Roebling’s specification of weight, stiffness, and stays whereby his successes were achieved. New York’s Williamsburg Bridge, which was completed in 1903, had a span five feet longer than its neighbor, the Brooklyn Bridge, but the Williamsburg had none of the Brooklyn’s architectural grace. The Williamsburg Bridge has all-steel towers of no distinction and a stiffening truss that is overly heavy structurally and visually. Most importantly, the Williamsburg Bridge was designed and built without stay cables. This omission influenced all subsequent suspension bridge designs, which were also built without the cables. In the early decades of the twentieth century, large suspension bridges continued to be built with wide roadways stiffened by substantial trusses. But in 1931 a bridge with a span almost twice as long as any of its immediate predecessors set a new aesthetic standard. The 3,500-foot span of the George Washington Bridge, which connected New York City and New Jersey across the Hudson River, was wide and therefore heavy, but it was only about 10 feet deep. Its designers argued that the mass of the suspension cables and wide deck provided sufficient stiffness so that no truss was necessary. This new standard influenced bridges designed and built in the later 1930s. Unfortunately, those bridges were located not in populous cities but in remote areas, where traffic did not demand wide multi-lane roadways. The bridges were thus designed with not only shallow but also narrow decks. It followed that the decks were light. Thus, in the course of less than a half century, Roebling’s specification of weight, stiffness, and stays had been totally forgotten and ignored. The bridges built in the late 1930s had decks that were light, flexible, and unstayed. Fig. 8. George Washington Bridge, as built 1931 These newer bridges began to exhibit unanticipated and undesirable behavior under certain wind conditions. Their decks began to undulate. There was disagreement among engineers not only about what was causing the undulations but also about how to retrofit the bridges to check them. It was in this climate that the Tacoma Narrows Bridge was designed and constructed in the northwestern U.S. state of Washington. The bridge opened in 1940 and exhibited the increasingly familiar undulations of a slender roadway, which drivers had 150 Petroski H. i inni: Structural failure: a historical perspective come to find amusing. However, after about four months of such behavior, some checking cables slipped and the bridge deck began to execute torsional vibrations. After about four hours of these uncontrollable movements, the roadway broke apart and fell into the water. Fig. 9. Tacoma Narrows Bridge, November 1940 The investigative committee that studied the Tacoma Narrows Bridge failure came to conclusions strikingly similar to those that John Roebling had reached almost exactly a century earlier. It is shortsighted of engineers to think that the newer analytical tools that they use in designing or the advanced materials that are used in building modern structures make the history of those structures irrelevant. The wind that destroyed suspension bridge decks in the early nineteenth century was effectively the same wind that attacks them today. And the rational approach that John Roebling took to dealing with those destructive forces is as relevant today as it was in his time. Plain thinking about design, especially with regard to obviating failure, is never obsolete. 7. Buildings, Towers, and Walkways Building tall has been a structural objective since ancient times. The evolution of pyramids, cathedrals, and towers attest to this. The Eiffel Tower was the first man-made structure to reach the nineteenth century’s goal of 300 meters and was also the last great wrought-iron structure. That material’s successor, steel, made it possible to pursue ever higher goals, as embodied in the skyscrapers of the early- and the super-tall buildings of the later-twentieth century. As these structures reached higher, the wind became as challenging to their design engineers as it did to bridge engineers. Innovative structural systems incorporating tubular concepts and damping devices enabled super-tall structures to be achieved more or less economically. The New York World Trade Center towers were designed in such a climate, and they stood as the tallest buildings in the world until the Sears Tower was completed in Chicago in 1974. The Twin Towers continued to be the tallest in New York City, until they were attacked in 2001. The possibility of an airplane striking one of the towers was considered while they were being designed. After all, a B-25 bomber had struck the Empire State Building in 1945. While it may not have taken that incident to make the designers of the Twin Towers consider an airplane impact as triggering a possible failure mode, it certainly made it less easily dismissed. The structural integrity of the towers was analyzed under the impact of a Boeing 707, but the analysis did not proceed beyond the mechanical implications. Structural engineers of the time did not take into account the effects of an ensuing fire. Referaty plenarne 151 In 2001 it was, of course, the fire that softened what structural columns remained and thus led to the collapse of the tubular structures. Designing super-tall structures that can withstand airplane impacts and subsequent fires may be a new challenge for structural engineers, but even much more modest structures can cause engineers to overlook key failure modes. This was certainly the case with the design of some elevated walkways in the Kansas City Hyatt Regency Hotel, which opened in 1980. Three walkways were designed to be suspended by steel rods from the atrium roof. Two of the three were to be hung one above the other, to serve the hotel’s second and fourth floors and allow convention goers to move freely between the tower containing hotel rooms and the convention center without having to pass through the lobby below. The support detail as originally conceived was for a single long rod to pass through a box beam supporting the upper walkway and continue through a similar box beam supporting the lower walkway. At each level, the load of the walkway was to be transferred to the rod by means of a washer held in place by a nut. At some point during construction, the recommendation was made to replace each single long rod with two shorter rods, one anchored in the roof and terminating just beneath the box beam of the upper walkway, and the second extending from just above the box beam of the upper walkway to just beneath the box beam of the lower walkway. In all cases the walkway loads would be transferred to the rods through washers held in place by nuts screwed onto the threaded ends of the rods. In changing the connection detail from a single long rod to two sorter ones, a second hole had to be drilled through the box beam of the upper walkway. The second hole was offset from the first. The walkways were constructed with this revised detail and they stood in place for about a year. However, in July 1981, when the lobby was filled with people attending a dance and many people looked down from the elevated walkways, the two with the modified support detail fell suddenly onto the lobby floor. The final death toll was 114, and many more people were injured. At the time, it was the worst structural accident in U.S. history. The cause of the failure was soon apparent. A rod hanging from the roof still had its washer and nut intact on the threaded end of the rod, indicating that the box beam that it had supported had been pulled over the washer-nut assembly. The deformed box beam on the floor also showed this to be the case. Had the single long rod not been replaced by the two shorter ones, the walkways would likely still be in place, and 114 people would not have lost their lives. In changing the support design from one rod to two, the load that the washer-nut assembly under the top walkway’s box beam had to bear was doubled, since now the lower walkway was hung from the upper one. As originally designed, the load of each walkway was transferred directly to the steel rod, and so each washer-nut assembly had only to bear the load of its walkway. Evidently no one involved in the design or redesign of the support detail caught this elementary mistake. The story of the Hyatt Regency walkways collapse is strikingly similar to the story that Galileo told almost three-and-a-half centuries earlier. Recall that the marble beam was originally simply supported, but a third support was added under the middle of the beam to prevent it from collapsing there. The change in support detail changed the entire structural system and introduced the possibility of a new mode of failure, which did eventually occur. By analogy the elevated walkways as originally designed were supported by a single rod, but it was replaced by two, thereby changing the structural system and introducing a new mode of failure. Historical case studies should not be viewed as just quaint stories that show how foolish and unsophisticated previous generations of engineers must have been. The stories demonstrate lapses in logic and thoroughness, which can and do happen even in an age of mathematical and computer models. 152 Petroski H. i inni: Structural failure: a historical perspective Fig. 10. Hyatt Regency Hotel elevated walkways support detail, as-built and as-designed 8. Conclusion Structural failures have always occurred, and they are likely to continue to occur unless the historical record of mistakes and oversights in design is seen to remain relevant even as technology and technique advance. Case histories of failures provide insights into the nature of design and design error. They also expose the limitations of design and reveal how lapses in logic and judgment can corrupt the design process. As much as the products of design today may appear to be different from those of ancient times, the creative human design process by which they are achieved is fundamentally the same as it has always been. Though concrete and steel may have replaced stone and timber as our basic building materials, nothing has replaced the human factor in the design of structures. Advanced mathematical and computational tools may enable us to calculate more quickly and accurately, but they do not necessarily help us appreciate the changeless nature of the design process. Bibliography 1. Dibner, Bern, Moving the Obelisks (Norwalk, Conn.: Dibner Library, 1991). 2. Federal Emergency Management Agency. World Trade Center Building Performance Study: Data Collection, Preliminary Observations, and Recommendations (New York: FEMA, 2002). 3. Fontana, Domenico. Della Transportatione dell’Obelisco (Rome: Vatican, 1590). 4. Galileo, Dialogues Concerning Two New Sciences (New York: Dover, 1954). 5. Lewis, Peter R. Beautiful Railway Bridge of the Silvery Tay: Reinvestigating the Tay Bridge Disaster of 1879 (Stroud, Gloucestershire: Tempus, 2004). 6. Lewis, Peter R. Disaster on the Dee: Robert Stephenson’s Nemesis of 1847 (Stroud, Gloucestershire: Tempus, 2007). 7. Mark, Robert. Experiments in Gothic Structure (Cambridge, Mass.: MIT Press, 1982). 8. Scott, Richard. In the Wake of Tacoma: Suspension Bridges and the Quest for Aerodynamic Stability (Reston, Va.: ASCE Press, 2001). 9. Petroski, Henry. Success through Failure: The Paradox of Design (Princeton, N.J.: Princeton University Press, 2006). 10. Petroski, Henry. To Engineer Is Human: The Role of Failure in Successful Design (New York: St. Martin’s Press, 1985). 11. Vitruvius. The Ten Books on Architecture (New York: Dover, 1960).
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