Fruggia.com
Cover art for The Tacoma Narrows Bridge

The Tacoma Narrows Bridge

Aeroelastic Flutter and a Lesson Taught in Every Engineering School

  • 8 chapters
  • 53m
  • Civil Engineering
  • Free · no sign-up
The Tacoma Narrows Bridge collapsed on November 7, 1940, just four months after opening. This failure happened because of aeroelastic flutter, not the simple wind resonance explained in older engineering textbooks.

The book explains how the bridge's slender deck design made it vulnerable to wind-induced oscillations. Chapters cover the actual mechanism behind the collapse, including detailed analysis of the film footage showing the dramatic twisting motion. The text also discusses how this disaster changed suspension bridge engineering forever.

After the collapse, engineers rethought every aspect of bridge design. The book compares the Tacoma Narrows Bridge with other famous spans like the Golden Gate and Verrazzano-Narrows bridges. Readers will find this essential if they want to understand why modern suspension bridges are built the way they are.

Listen

  1. 01 Tacoma Narrows Bridge (1940) 8m Download (3.7 MB)
    Read this chapter

    Overview

    The Tacoma Narrows Bridge, known as "Galloping Gertie" during construction, opened on July 1, 1940, and collapsed just four months later, on November 7, into Puget Sound. It was the world’s third-longest suspension bridge at the time, behind the Golden Gate and George Washington Bridges. Built in September 1938, the bridge began moving vertically in the wind, earning its nickname from workers. Despite damping efforts, it failed under 40-mile-per-hour winds, twisting and tearing apart. A dog named Tubby died in the collapse, along with several people injured trying to escape or rescue him. The disaster led to new understanding of aeroelastic flutter, a self-reinforcing oscillation that can cause structures to fail even in moderate winds. A new bridge opened in 1950 in the same spot, using the old towers and anchorages.

    Design and construction

    The idea of building a bridge between Tacoma and the Kitsap Peninsula had been around since at least 1889, but serious efforts began in the mid-1920s when the Tacoma Chamber of Commerce started funding studies. Engineers like Joseph B. Strauss and David B. Steinman were consulted, with Steinman presenting a proposal in 1929 before being dropped in 1931 for not securing financing. In 1937, the Washington State legislature formed the Washington State Toll Bridge Authority, which asked the Public Works Administration for $11 million to study the project. Initial plans called for deep trusses to stiffen the roadway, but Eastern consulting engineers Leon Moisseiff and Frederick Lienhard proposed a new design based on elastic distribution theory, using shallow plate girders instead. Their approach reduced costs and created a more elegant structure. The PWA approved nearly $6 million in June 1938, and construction began November 23, 1938, finishing in nineteen months. The bridge opened July 1, 1940, just 39 feet wide with only eight-foot-deep girders, making it prone to movement. Workers nicknamed it “Galloping Gertie” for its visible flexing in the wind.

    Attempt to control structural vibration

    While the bridge was still under construction, it began swinging wildly in the wind, so engineers tried several fixes. They attached cables to concrete blocks on shore, but those cables broke right away. Then they added diagonal stays from the main cables to the deck at mid-span, but those didn't help either. Hydraulic dampers were installed between the towers and the deck to reduce movement, but the seals failed during sandblasting before painting. The Washington State Toll Bridge Authority brought in Frederick Burt Farquharson, a University of Washington engineering professor, to test wind tunnel models and suggest solutions. His team built small-scale versions of the bridge and concluded their work on November 2, 1940—just five days before the collapse on November 7. He recommended either drilling holes in the deck to let air pass through or adding fairings to make the shape more aerodynamic. The second idea was chosen, but it wasn't done because the bridge fell apart first.

    Collapse

    On November 7, 1940, strong winds caused the Tacoma Narrows Bridge to sway violently, and at least two vehicles were on it—a delivery truck driven by Ruby Jacox and Arthur Hagen, and a car with Leonard Coatsworth, editor at The News Tribune. The truck tipped over and the car lost control; both drivers got out and walked off. Coatsworth later described hearing concrete crack and trying to retrieve his dog Tubby, who was left in the car. He was thrown before reaching it, crawled about 500 yards to safety, and watched the bridge collapse into the strait around 11:00 a.m. The Washington State Toll Bridge Authority later reimbursed Coatsworth $814.40 for his car and its contents, including Tubby.

    Film of collapse

    The collapse of the Tacoma Narrows Bridge was recorded by local men Barney Elliott and Harbine Monroe, owners of a Tacoma camera shop who captured not only the failure but also an attempt to save a dog named Tubby. Their footage went to Paramount Pictures, used in newsreels worldwide and later incorporated into the 1950 television series Atom Man vs. Superman. Castle Films obtained rights to distribute the film as 8 mm home video. In 1998, the Library of Congress added the recording to the National Film Registry for its historical importance. Most copies today are in black and white because newsreels transferred the original 16 mm Kodachrome film onto 35 mm stock. Elliott shot at 16 frames per second, while Monroe used 24 fps, causing most versions to show the bridge moving about 50% faster than it actually did. A second reel surfaced in February 2019, filmed by civil engineer Arthur Leach from Gig Harbor, offering one of the few views of the collapse from that side. Leach, who was reportedly the last person to cross the bridge before it fell, also provided commentary on his footage, originally shot on black-and-white film and later transferred to video cassette by filming the projection.

    Inquiry

    Theodore von Kármán, director of the Guggenheim Aeronautical Laboratory and a leading aerodynamicist, served on the board investigating the bridge’s collapse. He found that the State of Washington could not collect one insurance policy because its agent, Hallett R. French of the Merchant’s Fire Assurance Company, had stolen $800,000 in premiums—now worth $18.4 million. French was charged and tried for grand larceny. The bridge had been covered by many other policies, totaling 80% of its $5.2 million value—roughly $119.5 million today—and most claims went through smoothly. On November 28, 1940, the U.S. Navy reported the bridge’s remains at 47°16′N 122°33′W, lying 180 feet beneath the surface.

    Cause of the collapse

    The original Tacoma Narrows Bridge, built with carbon steel girders anchored in concrete, was the first of its kind to use plate girders—deep I-beams—to hold up the roadbed. Unlike earlier bridges with open trusses that let wind pass through, this design redirected wind above and below the structure. Shortly after opening on July 1, 1940, it began swaying dangerously in mild winds, and worse during storms. The movement was transverse—half the central span rising while the other fell—and drivers felt their cars rise and fall with the bridge. At first, engineers believed the bridge's mass kept it safe. But failure came when a never-before-seen twisting mode occurred at 40 mph winds. This torsional vibration caused one side of the roadway to go down while the other rose, twisting the structure in opposite directions around its centerline. The motion was driven by aeroelastic fluttering—a type of unstable oscillation where forces grow without limit. Eventually, the suspender cables broke under the increasing stress, and as they failed, the weight shifted to adjacent cables until nearly the entire central deck collapsed into the water below.

    Resonance (due to Von Kármán vortex street) hypothesis

    The Tacoma Narrows Bridge collapsed in 1940, and its destruction is often cited as a lesson in the importance of considering aerodynamics and resonance in engineering. Many physics textbooks, including those by Resnick et al. and Tipler et al., wrongly claim the failure was due to externally forced mechanical resonance. In reality, Billah and Scanlan (1991) found that the cause was more complex. While vortex shedding — the von Kármán vortex street — was thought to match the bridge’s natural frequency, Farquharson noted the wind was steady at 42 mph, and the destructive motion occurred at 0.2 Hz, not the expected 1 Hz from vortex shedding or any of the bridge’s natural modes. The collapse could only be explained through a coupled aerodynamic and structural analysis, revealing that the process involved self-sustaining forces beyond simple linear resonance.

  2. 02 Suspension bridge 6m Download (3.1 MB)
    Read this chapter

    Overview

    A suspension bridge holds its roadway below cables that hang from towers, with vertical rods called suspenders transferring the weight of the deck and traffic. The earliest modern versions appeared in the early 19th century, though simpler designs without suspenders have been used for centuries in mountainous areas. The main cables run from one end of the bridge to the other, anchored firmly in the ground, and carry tension from the load. These cables support the deck through vertical hangers, allowing the roadway to either stay level or curve upward for clearance. Some bridges are built without temporary supports called falsework. In certain cases, towers sit on canyon edges, letting the road connect directly to the main span, while others include smaller spans between pillars and the highway, sometimes supported by truss structures instead of suspenders.

    Precursors

    In 1433, the Tibetan bridge-builder Thangtong Gyalpo constructed eight iron chain bridges in eastern Bhutan, including the last surviving one, the Thangtong Gyalpo Bridge in Duksum, which was washed away in 2004. His design used iron chains to support the structure, but not a suspended deck like modern bridges. Instead, he used wires for the railing and walking surface, with stress points reinforced by the chains. Before iron, he may have used ropes made from twisted willows or yak skins, or tightly bound cloth. The Inca also built rope bridges as early as 1615, with Queshuachaca being the last remaining one, rebuilt every year.

    Chain bridges

    The first iron chain suspension bridge in the Western world was Jacob's Creek Bridge, built in 1801 in Westmoreland County, Pennsylvania, by inventor James Finley. His design included a suspended deck held by trusses, and he patented it in 1808, publishing the plans in The Port Folio in 1810. Early British examples followed, like Dryburgh Abbey Bridge in 1817 and the Union Bridge in 1820, with spans growing to 176 meters with the Menai Bridge in 1826, called "the first important modern suspension bridge." The Chain Bridge in Nuremberg was the first in German-speaking territories. In India, the Sagar Iron Suspension Bridge, also known as Beose Bridge, was built between 1828 and 1830 by Duncan Presgrave. The Clifton Suspension Bridge, designed in 1831 and completed in 1864, had a 214-meter span. William Tierney Clark designed the Marlow Bridge between 1829 and 1832, replacing a wooden bridge that collapsed in 1828. The Széchenyi Chain Bridge in Budapest, also by Clark, was built between 1840 and 1849. In Burton-on-Trent, Thornewill and Warham's Ferry Bridge, completed in 1889, used chains attached to main girders instead of abutments, with flat wrought iron plates measuring eight inches wide by an inch and a half thick.

    Wire-cable

    The earliest known wire-cable suspension bridge was the temporary Spider Bridge built at Falls of Schuylkill in 1816, following James Finley's Chain Bridge collapse in 1808. It stretched 124 meters but was only 0.45 meters wide. The concept advanced through Marc Seguin's simple structure at Annonay in 1822, which spanned just 18 meters. Guillaume Henri Dufour's Saint Antoine Bridge in Geneva followed in 1823, featuring two 40-meter spans. Then came Joseph Chaley's Grand Pont Suspendu in Fribourg, where cables were assembled mid-air using modern methods, finished in 1834. In the United States, Charles Ellet Jr. designed the first major wire-cable suspension bridge, the Wire Bridge at Fairmount in Philadelphia, completed in 1842 with a span of 109 meters. His Niagara Falls project was never finished but later served as scaffolding for John A. Roebling's railroad and carriage bridge in 1855. The Otto Beit Bridge, constructed between 1938 and 1939, marked the first modern suspension bridge outside the U.S. to use parallel wire cables.

    Structural analysis

    The main cables of a suspension bridge follow a catenary curve when hanging by themselves under their own weight. But when they support the deck, those same cables take on a parabolic shape. This happens because the weight of the deck is much greater than the weight of the cables themselves. You can see this shift in the cable’s slope as it connects to the deck—each connection provides an upward force. Because of this, suspension bridges are easier to design and analyze compared to cable-stayed bridges, where the deck experiences compression forces that make the structure more complex.

    Comparison with cable-stayed bridge

    Suspension bridges and cable-stayed bridges look alike but work differently. In a suspension bridge, two main cables run from tower to tower and are anchored into the ground at each end. These cables support the deck, which is hung from smaller cables or rods. Before the deck is placed, the cables are already under tension from their own weight. As sections of the deck are lifted on site, the cables grow tighter, taking on more load from traffic as well. The force in those main cables travels down to the anchorages and through compression in the towers. In a cable-stayed bridge, the towers carry most of the load directly to the ground. The deck is supported by cables that run straight from it to the towers, often with a cantilever approach near the towers. Because of this design, all horizontal forces are balanced so the towers don't tilt or slide—only the live loads create horizontal pressure on them.

    Underspanned

    In an underspanned suspension bridge, the main cables are anchored in the ground like a traditional suspension bridge, but they hang entirely below the deck instead of above it. This design makes the structure less stable, which is why very few have ever been built. One early example is the Pont des Bergues, designed by Guillaume Henri Dufour and completed in 1834. Another is James Smith’s Micklewood Bridge, and there was also a proposed bridge over the River Almond near Edinburgh by Robert Stevenson. Roebling's Delaware Aqueduct, begun in 1847, had three sections supported by cables and used timber to hide them from view, making it not obviously a suspension bridge at first glance.

    Suspension cable types

    Suspension cables have changed a lot over time. Older bridges used chains or linked bars, but today’s cables are built from many wire strands. This design offers more strength and reliability—when some strands fail, it doesn’t bring down the whole bridge. A single faulty link or eyebar, however, could cause total failure, as happened with the Silver Bridge that collapsed over the Ohio River. As bridge spans grew longer, engineers also found it impossible to lift big chains into place. Wire cables, on the other hand, can be built strand by strand while suspended in mid-air from a temporary walkway.

  3. 03 Bridge 6m Download (3 MB)
    Read this chapter

    Overview

    A bridge is a structure built to cross rivers or railways, letting people and vehicles move from one side to the other. Most bridges have a flat deck held up by beams, arches, or cables, and they rest on foundations made to keep the weight from sinking into the ground. Bridges come in many shapes—beam bridges from logs, suspension bridges from ropes, arch bridges from stone or brick—and the designs have changed over time. The Romans and ancient Chinese built large arch bridges, while later advances led to stronger materials like concrete and steel. During the Industrial Revolution, mass-produced steel allowed for more complex structures like truss and cantilever bridges, and today the longest spans reach up to two kilometers. Bridge design must meet strict safety standards, using methods like limit state design and finite element analysis. Many bridges are also admired for their beauty and serve as symbols of community pride.

    Antiquity

    The earliest bridges were simple structures such as wooden boardwalks or logs built to cross wetlands and creeks. In Switzerland, pilings were used around 4,000 BC to support stilt houses over water. By 13th century BC, the Mycenaeans had constructed corbel arch bridges, including the Arkadiko Bridge still standing today. In the 7th century BC, Assyrian king Sennacherib built stone aqueducts near Nineveh, one crossing a valley at Jerwan with five arches, measuring 280 meters long and 20 meters wide. Around 626 BC, a bridge across the Euphrates in Babylonia was built, estimated between 120 and 200 meters long. In India, Kautilya's Arthashastra mentions bridges and dams. Ancient China also built cantilever and rope bridges, even spanning rivers on floating boats. The Romans advanced bridge engineering with durable designs using semicircular arches. They used cement mixed with rocks to make concrete or sand for mortar, some waterproof due to volcanic ash. Trajan's Bridge, built around 105 AD, crossed the Danube and was over 900 meters long.

    300 to 1400

    The Anji Bridge in China, constructed between 595 and 605 AD during the Sui dynasty, is both the oldest surviving stone bridge in the country and the world’s oldest open-spandrel stone segmental arch bridge. In South America, the Inca civilization built rope bridges—simple suspension designs—high in the Andes before European colonization in the 16th century. Following the fall of Rome, bridge-building in Medieval Europe declined, but it later revived during the High Middle Ages in regions such as France, England, and Italy. Notable works from this time include the Pont d'Avignon, bridges of the Durance river, and Old London Bridge. Some of these historic structures remain today, like the Monnow Bridge in Wales and the Old Exe Bridge.

    1400 to 1750

    In 15th- and 16th-century Europe, the Renaissance sparked a renewed focus on science and engineering. Galileo Galilei, Fausto Veranzio, and Andrea Palladio each wrote treatises that brought a rigorous, analytic approach to architecture and building. Palladio, author of I quattro libri dell'architettura, helped shape designs that included truss bridges and stone segmental arches. These innovations led to iconic structures like Florence’s Ponte Santa Trinita, Venice’s Rialto Bridge, and Paris’s Pont Neuf. Meanwhile, the Mughal administration in India constructed military and commercial bridges, while the Asante Empire in Africa built river crossings using tree trunks and beams.

    1750 to 1900

    In the late 18th century, Jean-Rodolphe Perronet and John Rennie changed arch bridge design in Europe, creating flatter arches that built faster, let water flow better, and used slimmer piers—designs seen in the Pont de la Concorde and New London Bridge. As the Industrial Revolution took hold, iron became key in construction, with cast iron used for compression and wrought iron for tension; the Iron Bridge in England, finished in 1781, was the first major bridge made entirely of metal. By the early 19th century, long suspension bridges used iron eyebars, and railway development spurred massive growth in bridge building, especially in Britain, where Isambard Kingdom Brunel, Robert Stephenson, and Joseph Locke designed ever-larger structures like the High Level Bridge and Clifton Suspension Bridge. Timber was favored in North America for its availability, used in truss and trestle designs. Then came steel, which enabled lighter, stronger trusses and cantilevers, while improved concrete replaced masonry in foundations.

    1900 to present

    Throughout the 20th century, engineers like Othmar Ammann pushed the limits of bridge design, building longer and more ambitious spans that connected distant lands. After World War II, cable-stayed bridges became widely used, and by the late century, new innovations emerged: extradosed bridges gained popularity, especially in Japan, while China adopted concrete-filled steel tubes for arch bridges. Fiber-reinforced polymers also entered the field, offering a rust-free alternative to traditional steel. In the 21st century, the 1915 Çanakkale Bridge surpassed two kilometers in span, marking a milestone in global engineering.

    Uses

    A bridge exists to cross over something that blocks passage, like a river or canyon. It can carry many things—trains, cars, people, water, even cables. People built aqueducts a long time ago to bring water to towns and cities. Some of these aqueducts were part of canal systems, which also let boats pass through valleys or ravines. These structures served practical needs, moving not just traffic but essential resources like water across difficult terrain.

    Transportation

    Until the early 19th century, most bridges were built to handle pedestrians, horses, and horse-drawn carriages. Then came the railway age, and with it, a new kind of bridge design. In Britain, the number of bridges doubled during the mid-19th-century railway boom. Railway bridges had to be strong enough for heavy loads—like a single locomotive that could weigh 197 tonnes. They needed to bend as little as possible under weight, contain damage from accidents, and handle sudden impacts. Because of these needs, railways avoided curved bridges, suspension bridges, and cable-stayed designs. Instead, they preferred straight beam or truss bridges. Then, in the 20th century, motorways grew fast, requiring even longer spans to cross valleys and reach islands, along with elevated railways and monorails in cities.

  4. 04 Engineering disasters 4m Download (2 MB)
    Read this chapter

    Overview

    Engineering disasters often stem from shortcuts or mistakes made during design. Engineers apply science and technology to build what society needs—like buildings, planes, ships, and software. To meet those needs efficiently and affordably, managers and engineers must work together. Sometimes that leads to cutting corners in design to save on construction costs. These shortcuts can cause unexpected failures. Disasters also happen due to errors like wrong calculations or poor communication.

    Overview

    Failure happens when something built to handle a certain amount of stress or load is pushed beyond what it was designed for, causing it to deform and eventually break. When a structure is built to support a specific level of force, using it past that limit leads to failure. Several things can lead to this outcome, including a design that doesn’t account for real-world conditions, misuse of the structure, budget constraints that affect materials or construction, and poor communication between teams. These factors all play a role in why some projects don't work as intended.

    Safety

    In engineering, safety is always a top priority. When things go wrong, like in the Challenger explosion, it reminds us how serious failures can be when safety isn’t properly considered. Engineers use tests like tensile testing and finite element analysis to understand how much stress a design can handle. These tools help prevent problems from happening due to overloading or bending. Learning from past mistakes is key to keeping future projects safe.

    Static loading

    Static loading happens when a force is applied slowly to a structure, and engineers use tests like tensile, bending, and torsion to see how much stress a material can handle before it deforms or fails. In a tensile test, a sample is stretched until it breaks while scientists measure the load and deformation. The test reveals the yield strength, where the material starts to stretch permanently, and the ultimate tensile strength, which is the maximum stress it can endure before breaking. These results are plotted on a stress-strain curve that shows how the material behaves under slow, steady force.

    Fatigue

    When a material is exposed to constant stress or extreme temperatures, it can slowly deform in a way called creep, which depends on both stress and heat. If the deformation becomes too great, the material’s function suffers. But most mechanical failures come from fatigue—repeated stress that leads to cracks over time. A good example is a rubber band: stretch it once and it returns, but do it thousands of times and micro-cracks form, eventually snapping it. Fatigue failure starts with a crack, either from use or manufacturing, and follows three stages: crack initiation, propagation, and sudden fracture. The term “fatigue” originally suggested a material grew “tired,” not that its strength diminished after failure.

    Miscommunication

    Engineering demands precision, especially when different fields must work together—civil, electrical, mechanical, and others. When that communication breaks down, disasters can follow. A lack of clear exchange between teams led to flaws in design, as seen in the 2005 levee failures in New Orleans, the Space Shuttle Columbia disaster, and the Hyatt Regency walkway collapse. One striking example is the Mars Climate Orbiter, where a piece of software from Lockheed Martin gave results in U.S. customary units, even though the Software Interface Specification required SI units. NASA’s system expected SI units, and the mismatch caused the orbiter to be lost. The failure was not just technical—it was human, rooted in miscommunication between contractors.

    Examples

    When bigger projects like bridges or airplanes go wrong, many lives can be put at risk, leading to what’s called an engineering disaster. These are serious failures that cause major damage and sometimes loss of life. After such events, experts study what happened in detail, and their findings are recorded carefully. The goal is to learn from these mistakes so they don’t happen again in the future.

    Ashtabula River Bridge Disaster (1876)

    On December 29, 1876, a train crossing a bridge over the Ashtabula River in Ohio crashed through the structure, killing at least ninety-two people. The Lake Shore and Michigan Southern Railway was carrying passengers when the bridge gave way. Today, engineers believe the failure came from a faulty angle block lug, stress from thrust forces, and the cold weather that day.

  5. 05 Tacoma Narrows Bridge 4m Download (1.9 MB)
    Read this chapter

    Overview

    The Tacoma Narrows Bridge is a pair of twin suspension bridges spanning the Tacoma Narrows strait in Washington, connecting Tacoma to the Kitsap Peninsula and carrying State Route 16. The original bridge, nicknamed “Galloping Gertie,” opened on July 1, 1940, and collapsed on November 7, 1940, due to aeroelastic flutter. Engineers including F. B. Farquharson tried to address the deck’s movement, but efforts failed. The new bridge opened on October 14, 1950, and still stands today as the westbound lanes of the current two-bridge complex. By 1998, traffic exceeded capacity, leading to approval for a parallel eastbound span, which opened on July 16, 2007. Tolls were collected during the original bridge’s short life and the first 15 years of the 1950 bridge, then stopped in 1965, only to return in 2007 as part of financing the twin span, collected only from eastbound vehicles.

    Original bridge (1940)

    The Tacoma Narrows Bridge, designed by Leon Moisseiff and costing $6.4 million, opened to traffic on July 1, 1940, and collapsed on November 7, 1940, at 11:00 a.m. Pacific time, possibly due to aeroelastic flutter caused by a 42 mph wind. Its solid sides trapped the wind, causing it to sway and fail. No humans died in the collapse, though a Cocker Spaniel named Tubby perished after being abandoned by his owner, Leonard Coatsworth. Engineer Frederick Burt Farquharson tried to rescue Tubby but was bitten. The event was captured on color film by Barney Elliott and Harbine Monroe of Tacoma’s Camera Shop, footage later sold to Paramount Studios and shown in theaters worldwide. The collapse became a key example in engineering education, spurring research into bridge aerodynamics. Dismantling of the towers began shortly after, continuing into May 1943, while wartime delays postponed rebuilding plans.

    Westbound bridge (1950)

    After the original bridge fell, Professor Farquharson returned to test new designs at the University of Washington. Construction began April 12, 1948, after funding and insurance were arranged. A major earthquake hit the site April 13, 1949, damaging only a cable that was recovered; a later fire at the west tower caused minor equipment damage. The towers were finished by July 1949, and cables were completed January 16, 1950. The new westbound bridge opened October 14, 1950, designed with open trusses, stiffening struts, and roadway openings to let wind pass through. It was 5,979 feet long—40 feet longer than the first—and cost $18 million. Locals called it Sturdy Gertie, and it was the third longest suspension bridge span in the world when built. The bridge was designed for 60,000 vehicles daily and carried both directions until the eastbound span opened July 15, 2007. It closed briefly during a 2006 windstorm but reopened after six hours.

    Eastbound bridge (2007)

    In 2007, the new eastbound span of the Tacoma Narrows Bridge opened after five years of construction that began in 2002. The Washington State Department of Transportation signed a deal with Bechtel and Kiewit Pacific Co., and the project came in under budget at $786 million. About 10,000 people took part in a ceremonial 5K run, and roughly 60,000 attended the ribbon-cutting event, which included State Treasurer Michael Murphy, State Representative Pat Lantz, and others. The bridge, 5,400 feet long with a main span of 2,799 feet, is the fifth largest suspension bridge in the U.S. It was dedicated to State Representative Ruth Fisher and Senator Robert "Bob" Oke. Tolls began on the new span, with rates of $4.50 for Good to Go users, $5.50 for cash or credit card, and $6.50 for Pay-By-Mail. The bridge was the first in the state to use the new electronic toll system, and tolls are expected to pay off loans by 2033.

  6. 06 Golden Gate Bridge 6m Download (2.8 MB)
    Read this chapter

    Overview

    The Golden Gate Bridge spans the Golden Gate strait, a one-mile-wide channel connecting San Francisco Bay and the Pacific Ocean in California. It links San Francisco to Marin County, carrying traffic routes and pedestrian and bicycle access. Joseph Strauss was chief engineer, with contributions from Leon Moisseiff, Irving Morrow, and Charles Ellis. The bridge opened May 27, 1937, and has been retrofitted since. At the time of its opening, it was both the longest and tallest suspension bridge in the world, a title it held until overtaken by the Verrazzano–Narrows Bridge in 1964 and the Akashi Kaikyo Bridge in 1998. Its main span is 4,200 feet, and its total height is 746 feet.

    Ferry service

    Before the Golden Gate Bridge was built, the only practical way to get from San Francisco to Marin County was by ferry. Regular service began in the 1840s, initially to bring water to the city. By 1867, the Sausalito Land and Ferry Company was running trips, and in 1920, the Golden Gate Ferry Company took over. That company later merged in 1929 with the Southern Pacific Railroad’s ferry system, creating a large operation. The crossing from Hyde Street Pier to Sausalito took about twenty minutes and cost one dollar per vehicle before 1937. Many wanted a bridge connecting the cities, but experts doubted it could be built across the 6,700-foot strait, which had strong tides, deep water, and frequent fogs and winds that made construction and operation difficult.

    Conception

    In 1916, a San Francisco Bulletin article by James Wilkins revived the idea of a Golden Gate bridge, though City Engineer estimated it would cost $100 million—equivalent to $3 billion today—and seemed impossible. Joseph Strauss, an ambitious engineer and poet, responded to the challenge, proposing a design for a 55-mile railroad bridge across the Bering Strait in his graduate thesis. Though he had built around 400 drawbridges, none approached this scale. His early plans called for massive cantilevers connected by a central suspension segment, promising to build it all for $17 million—about $503 million today. Suspension design was ultimately chosen, using new advances in bridge engineering and metallurgy. Strauss spent over ten years gaining support in Northern California, facing opposition from the Department of War, the Navy, unions, and the Southern Pacific Railroad, which sued to block the project. In May 1924, Colonel Herbert Deakyne approved the use of federal land for the bridge, and the name "Golden Gate" was officially adopted when the state legislature passed the Golden Gate Bridge and Highway District Act in 1923.

    Design

    Leon Moisseiff designed the final suspension system for the Golden Gate Bridge, promoting a "deflection theory" that allowed the roadway to flex in the wind, reducing stress. Charles Alton Ellis, a Greek scholar and mathematician who later taught at Purdue, was the principal engineer, doing much of the technical work, though he received little credit at the time. Irving Morrow, a residential architect, shaped the towers’ design and chose the famous International Orange color. Strauss, the chief engineer, initially proposed a visually unappealing design and later replaced Ellis with Clifford Paine, ostensibly for spending too much on communications with Moisseiff. Ellis continued working unpaid, turning in ten volumes of calculations. Only in 2007 was his major role in the bridge’s design officially recognized.

    Finance

    The Golden Gate Bridge and Highway District was created in 1928 by a California state law to build the bridge. After the Wall Street Crash of 1929, they couldn’t gather enough money for construction, so they asked voters for a $30 million bond measure. That vote passed in November 1930. The actual budget was $27 million at the time, but the bonds didn’t sell until 1932. Then Amadeo Giannini, who founded Bank of America, agreed to buy all the bonds to help San Francisco’s economy.

    Construction

    Construction of the Golden Gate Bridge began January 5, 1933, and cost more than $35 million, or about $630 million today. The McClintic-Marshall Construction Co., a Bethlehem Steel subsidiary founded by Howard H. McClintic and Charles D. Marshall, handled the work. Engineer Strauss, a University of Cincinnati graduate, placed a brick from his alma mater’s demolished McMicken Hall in the south anchorage before pouring concrete. He also introduced movable safety netting that saved lives; nineteen men were saved by the nets, though eleven died during construction, including ten who fell on February 17, 1937, when a scaffold broke through the net. Alfred Finnila, the Assistant Civil Engineer of California, oversaw the iron work and half the road construction. The Round House Café, an Art Deco diner designed by Finnila and completed in 1938, was later included near the bridge’s southeastern end, renovated in 2012.

    Torsional bracing retrofit

    On December 1, 1951, a windstorm caused the Golden Gate Bridge to sway and roll, leading to its closure. Engineers then worked on retrofitting the structure in 1953 and 1954, adding bracing that linked the lower chords of the two side trusses. This reinforcement increased the deck’s resistance to torsional forces, helping it better withstand the kinds of twisting motions that had destroyed the Tacoma Narrows Bridge in 1940.

    Bridge deck replacement (1982–1986)

    From 1982 to 1986, the Golden Gate Bridge underwent its largest engineering project since its construction, as the original concrete deck was systematically replaced with a new steel orthotropic deck. The work was done in 747 sections over more than 400 nights, without fully closing the roadway to traffic. This replacement resulted in a deck that was 40% lighter and stronger than the original, while also widening the road by two feet. The outside curb lane became 11 feet wide, compared to 10 feet for the inside lanes. The project cost over $68 million.

  7. 07 Verrazzano–Narrows Bridge 9m Download (4.3 MB)
    Read this chapter

    Overview

    The Verrazzano–Narrows Bridge crosses the Narrows linking Staten Island and Brooklyn in New York City, standing as the only fixed crossing of that strait connecting New York Harbor to Lower New York Bay and the Atlantic Ocean. Engineer David B. Steinman first proposed the bridge in the late 1920s, but plans were delayed for decades. In the late 1940s, urban planner Robert Moses championed it as a way to connect Staten Island to the rest of the city. Construction started in 1959, and the bridge opened on November 21, 1964. Designed by Othmar Ammann, Leopold Just, and others at Ammann & Whitney, it held the record for the world's longest suspension bridge until 1981, with a central span of 4,260 feet. When officially named in 1960, it was misspelled "Verrazano–Narrows Bridge" in the construction contract, though the name wasn't corrected until 2018. The bridge collects tolls in both directions, with westbound drivers paying double from 1986 to 2020 to reduce congestion.

    Liberty Bridge

    In 1926 or 1927, structural engineer David B. Steinman proposed a bridge across the Narrows connecting Staten Island to New York City, as the island had no direct land link to Manhattan or Brooklyn except by ferry. In 1928, the Interboro Bridge Company suggested building the "Liberty Bridge" to the U.S. Department of War, calling for towers 800 feet high and a cost of $60 million in 1928 dollars. Engineers released detailed plans in November 1929 for a 4,500-foot bridge with 800-foot towers. Supporters believed it would help develop Staten Island, along with the Outerbridge Crossing and Bayonne Bridge under construction then. The bridge was meant to carry vehicles from Bay Ridge, Brooklyn, to an unknown spot on Staten Island. On the Brooklyn side, the city planned a connection to a "Crosstown Highway," linking to the proposed Triborough Bridge in Queens and possibly the Manhattan Bridge. However, Congressman Fiorello H. La Guardia blocked the vote, opposing private companies building what he saw as a public necessity.

    1920s tunnel plan

    In the 1920s, engineers explored connecting Brooklyn and Staten Island with a subway tunnel plan that started in 1923 but was canceled two years later. A new Liberty Bridge proposal suggested the subway tunnel run from St. George, Staten Island, to Bay Ridge, Brooklyn, before continuing to Governors Island and Lower Manhattan. Meanwhile, a separate plan called for vehicular tunnels stretching from Fort Wadsworth, Staten Island, to 97th Street in Brooklyn, meant to connect with the Triborough Tunnel now known as the Queens Midtown Tunnel. The city set aside $5 million for the project in July 1929, with the Baltimore and Ohio Railroad also committing funds. Boring began in November 1930, with twin tubes expected to finish by 1937. Construction stopped indefinitely in January 1932 due to lack of money, and work never advanced past a shoreline survey on the Brooklyn side.

    Cancellation of bridge

    In February 1933, Congress approved a bill to build a suspension bridge across the Narrows, and the Interboro Bridge Company planned to start construction by year's end, hoping to employ 80,000 workers. Othmar H. Ammann, who was working on the Triborough Bridge, Midtown Tunnel, and Golden Gate Bridge, expressed interest in designing the proposed Narrows bridge, which would have been the world's longest if built. The city approved a rapid transit tunnel under the Narrows in December 1933, part of a plan connecting Red Hook with Lower Manhattan via the Brooklyn–Battery Tunnel. Then in April 1934, the War Department announced it opposed the bridge project, citing wartime concerns about potential blockages. The Port Authority of New York and New Jersey did not take a public stance, other than requesting control over the future bridge. After that opposition, private groups began exploring the idea of a tunnel instead.

    1930s tunnel plan

    In 1936, New York City mayor La Guardia got permission to ask Congress for a bridge across the Narrows, with tolls paid for by federal bonds. La Guardia preferred a tunnel, so the next year he had the New York City Tunnel Authority study it. The Planning Commission considered either option, and in 1939 proposed expanding the city's highway system. A bill for the Battery Bridge included a last-minute amendment for the Narrows bridge, though that crossing wasn't part of the final 1941 plan. In 1943, the Board of Estimate set aside $50,000 for a tunnel study. Bay Ridge residents later opposed it, fearing neighborhood harm. After World War II, the commission estimated the tunnel would cost $73.5 million. By then, La Guardia had changed his mind, saying "it is not my time" to build it.

    Initial proposal

    In September 1947, Robert Moses announced plans to build a bridge across the Narrows instead of a tunnel, citing lower costs; both Moses and Mayor William O'Dwyer supported the "Liberty Bridge" project. The city submitted its request in July 1948, prompting public feedback collection. U.S. Representative Donald Lawrence O'Toole opposed it, noting that for every resident who supported the bridge, thirty-three were against it. The military approved the plan in May 1949, but only if construction began within five years. By then, plans for a 6,540-foot span had been finalized, requiring $78 million in funding, which wouldn't be available until 1950. Moses and Bayard F. Pope were willing to let either of their agencies build the bridge, as long as it was done efficiently. In 1954, they began a joint study, but construction couldn't start until at least 1957 due to TBTA bondholder restrictions. Frederick H. Zurmuhlen estimated the total cost at $200 million and urged moving forward quickly. Momentum grew in March 1955 when the city gained control over key approval processes, and Governor W. Averell Harriman signed a $600 million spending bill authorizing construction of the Narrows Bridge, the Throgs Neck Bridge, and a second level on the George Washington Bridge. Later that year, it was announced the bridge would be part of an Interstate Highway System expansion. In early 1956, a study for transit service was commissioned, but Moses rejected adding subway tracks due to cost. In April 1956, New Jersey Governor Robert B. Meyner signed a bill allowing the Port Authority to build and lease the bridge to the TBTA, who would buy it in 1967 as part of an agreement.

    Finalization of plans

    On Brooklyn's side, the Narrows Bridge was supposed to connect to the Belt Parkway, but Harriman vetoed a 1957 bill requiring that. By May 1957, an updated location was agreed on: Fort Lafayette at Bay Ridge's southern tip. Moses proposed extending Brooklyn's Gowanus Expressway to the bridge via Seventh Avenue, displacing over 1,500 families and drawing strong opposition from residents. In February 1958, the state legislature approved a bill returning the approach to the Belt Parkway, but the city approved the Seventh Avenue route in August. Mayor Wagner supported the bridge but not the approach. Moses warned delays could cancel the project, which by then had cost $320 million. After a hearing, the Board of Estimate approved the plan in October 1958 without objection, rejecting a tunnel under the Narrows and direct connection to New Jersey. The federal government required 12 lanes for the Seventh Avenue approach, and on December 31, the board voted to approve it. The controversy continued as Steinman proposed a bridge to New Jersey, which Rockefeller initially supported before Moses persuaded him to back the Staten Island route. In March 1959, the Board condemned land along Seventh Avenue, and in April, the bridge was officially renamed after Giovanni da Verrazzano, sparking debate over the spelling of his name.

    Preparation

    Surveying for the Verrazano-Narrows Bridge began January 1959, with construction starting August 14th at the Staten Island anchorage where New Jersey governor Meyner, New York City mayor Wagner, and TBTA chairman Moses were present. Rockefeller had been invited but did not attend. In December 1959, the TBTA took control of funding and building the bridge, and Rockefeller signed a bill lifting the 4% cap on interest rates for bonds needed to raise $320 million. Othmar Ammann was named senior partner, with chief engineer Milton Brumer and project engineers Herb Rothman, Frank L. Stahl, design engineer Leopold Just, Safety Engineer Alonzo Dickinson, and construction engineer John West Kinney all involved. John "Hard Nose" Murphy oversaw the span and cable work. Before building began, the TBTA cleared the sites, demolishing existing structures and acquiring land within Fort Hamilton, paying for a $12 million renovation of the Army base and surrendering part of Dyker Beach Park. A 1,000-ton World War I monument was moved 370 feet, and residents along the Seventh Avenue approach eventually gave way to the project. Moses warned contractors they would face steep fines if expressway work lagged behind bridge progress.

  8. 08 The Mechanical Universe 6m Download (3.1 MB)
    Read this chapter

    Overview

    "The Mechanical Universe...And Beyond is a 52-part telecourse from 1985-86, filmed at the California Institute of Technology. It introduces university-level physics, from Copernicus to quantum mechanics, using computer animation. The series was produced by Caltech and INTELECOM, a nonprofit consortium of California community colleges now known as Intelecom Learning. Financial support came from Annenberg/CPB. The series, which aired on PBS affiliate stations, was later distributed on LaserDisc and eventually YouTube."

    Overview

    The series, which began production in 1982, uses historical dramatizations and visual aids to teach physics, including nearly eight hours of computer animation by Jim Blinn and his team at the Jet Propulsion Laboratory. Each episode begins and ends with segments featuring Caltech professor David Goodstein delivering explanations "that can't quite be put into the mouth of our affable, faceless narrator." These bookend scenes were recreated versions of real freshman lectures from Caltech's Physics 1a and 1b courses. The show's structure and content reflect a major update to Caltech's introductory physics curriculum, the first since The Feynman Lectures on Physics nearly two decades earlier. While Feynman's approach focused on modern applications, the newer curriculum emphasized historical discovery. Classical mechanics, for instance, is presented as the story of "our place in the universe," with celestial mechanics at its core and Newton's solution to the Kepler problem as its peak. Episode 22 demonstrated this by solving the Kepler problem using a method related to the Laplace–Runge–Lenz vector—though not naming it.

    Production details

    The Mechanical Universe was produced with care to bring math and physics to life using computer animation that made equations dance and ideas pop. The show's creators used a technique they called the "algebraic ballet," where derivations were shown step-by-step with humor and visual flair—like terms being stomped away or the hand of God from Michelangelo's work. Caltech mathematician Tom M. Apostol joined the team to ensure rigor, and after seeing Blinn's animations, he was convinced they could "bring mathematics to life." The series was originally planned for 26 episodes but expanded to 60 before being cut back to 52 due to budget concerns. Some of Blinn's work reused in later projects like Project Mathematics!—also featuring computer animation by him. The show's title sequence was used without permission in the 1990 film Total Recall, leading to a $3 million lawsuit. Narration was done by Aaron Fletcher, who also played Galileo, and Sally Beaty handled technical segments. Shorter versions were made for high schools with support from the National Science Foundation, and a UK version was released in April 1991.

    Funding

    The Mechanical Universe came together thanks to support from Annenberg/CPB, which helped bring the series to life. It was part of a group of twelve projects selected from a first $90 million commitment made by the Annenberg Foundation to the Corporation for Public Broadcasting during the early 1980s. The full cost of producing the show reached approximately $10 million.

    Initial responses

    The Mechanical Universe premiered in September 1985 on PBS and quickly gained traction, with about 100 stations carrying it by fall 1986 and over 600 educational institutions licensing it by 1987. In 1992, Goodstein noted the series had aired on over 100 stations, often during odd hours when viewers unlikely to tune in were few. When broadcast in Miami on Saturday mornings, it drew 18,000 core households and ranked second in its time slot, beating children’s cartoons. Viewership data was hard to come by, but one review in Physics Today criticized the fast-paced animated equations, calling them “like trying to take a drink of water out of a fire hose.” Another reviewer praised the technical quality of the films but noted that younger viewers enjoyed the algebraic animations more than older ones, who found them difficult to follow.

    Classroom use

    In 1986, The Mechanical Universe was used in a summer program for gifted children with success. A 1987 study at Indiana University Bloomington found the series effective in teaching Newtonian mechanics, praising its historical perspective and animation, though students didn't often use the companion text. Some professors found it helpful for understanding physics themselves. One investigator noted that students who thought historical content wouldn't appear on tests would leave class—so he began including such details in exams, which upset some. Classroom use continued into the 1990s; at UC Berkeley, segments were used in group discussions. A science historian recommended episodes like "Kepler's Three Laws" and "The Michelson–Morley Experiment," especially praising Kepler's graphical explanation of planetary orbits. In 2005, The Physics Teacher suggested the series for new instructors, and Wired cited it as an alternative to traditional lectures.

    Portrayal of Tacoma Narrows Bridge collapse

    In many physics textbooks, The Mechanical Universe uses the 1940 collapse of the Tacoma Narrows Bridge to illustrate resonance, showing the event in its "Resonance" episode. But newer explanations point out that what brought the bridge down wasn’t just simple resonance. Instead, it was a complex interaction between the structure and the wind flowing through it—a behavior called aeroelastic flutter. This kind of vibration is self-sustaining and goes beyond what linear theory can explain in systems driven by external forces like the simple harmonic oscillator.

    List of episodes

    The show is titled The Mechanical Universe for its first 26 episodes, with the final 26 labeled as The Mechanical Universe ...and Beyond. The reason for that addition comes from Goodstein in the last episode's closing lecture. He explains that during the first scientific revolution, people moved away from arguing about divine or human authority to relying on observation, measurement, and testing ideas using math. That shift led to the idea of a mechanical universe — one governed by strict, predictable laws. But today we no longer believe in that kind of universe. As he puts it, even if you know exactly where a particle is at one moment, you can't predict where it's going or how fast. That question has no scientific meaning. That is the nature of our world now — the quantum mechanical universe. The series is available for purchase from Caltech or to stream online, including on their official YouTube channel. Caltech also posted short animation videos made by Blinn for SIGGRAPH conferences.

Read

Free to download, keep and share. For general information only — not professional medical, legal or financial advice. Please consult a qualified professional.

← All audiobooks