Physics of Arches

Resource for Grades 7-12

WGBH: Nova
Physics of Arches

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Interactive

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Source: NOVA: "Building the Great Cathedrals"

This resource can also be found on the NOVA Web site.


Resource Produced by:

WGBH Educational Foundation

Collection Developed by:

WGBH Educational Foundation

Collection Credits

Collection Funded by:

Corporation for Public Broadcasting HHMI Public Television Viewers Exxon Mobil Pacific Life David H. Koch

The stone arch is one of the simplest and most elegant structures in architecture. But if an arch is built incorrectly, gravity can quickly cause it to crash into a heap. To prevent catastrophic collapses, architects came up with several tricks to keep their arches standing, including buttresses, pointed arches, and pinnacles. In this interactive activity from NOVA, try your hand at constructing a stone arch and learn more about the physics behind it.

open Background Essay

When constructing an arched structure, especially a very large one, choosing the right materials is critical. As the blocks of material are piled up, their weight adds up quickly and each block gets squeezed, or compressed, under this weight of the blocks above. Not all materials can equally withstand this compression force, which squeezes a material from opposite sides. But this is the most important force to consider when building an arch. The Romans chose stone for their arch bridges, aqueducts, buildings, and more, with good reason: very few materials can withstand greater compressive forces than cut stone. Contemporary builders often use concrete or steel for arched structures because these materials can be readily molded into a variety of shapes and are nearly as strong as, and much less expensive than, stone.

The signature Gateway Arch in St. Louis, Missouri, is an elegant example of what builders can do with modern materials. When the 630-foot-tall arch was constructed in 1967, builders chose to make the walls of carbon steel. The steel surrounds reinforced concrete from ground level to 300 feet, and steel reinforcing bars from 300 feet to the peak. Wrapped around the walls is a stainless steel skin. While modern materials allowed builders to create this magnificent structure, the materials also caused some trouble. The legs were built simultaneously from the ground up, and when it was time to connect them at the apex, the steel of the south leg, warmed by the sun, had expanded so much that it no longer aligned with the north leg. This unforeseen problem called for a creative solution: the St. Louis Fire Department sprayed the south leg with cool water until the legs lined up.

A more modern arch can be seen in the soaring Hoover Dam Bypass Bridge. Opened in 2010, the bridge connects Arizona and Nevada highways nearly 900 feet above the Colorado River. When designing the bridge, engineers and architects wanted a structure as elegant and striking as the nearby Hoover Dam. They chose a concrete arch topped by a steel deck. The design draws on the strengths of both materials, using strong, relatively inexpensive concrete for the huge arch at the base of the bridge, and lighter steel for the upper parts of the structure. Yet, as with the St. Louis Arch, these materials also led to some construction challenges. When construction crews pour concrete in the desert, it can overheat, leading to cracks when it dries and shrinks. To prevent this problem at the Bypass Bridge, crews mixed and poured concrete only at night. This worked well most of the year, but not during hot summer nights. The solution? In summer, crews cooled the concrete with liquid nitrogen.

How do architects and designers know that these new materials will work when they build these structures? Newer technologies enable them use computer simulations to design arches, bridges, and buildings. This allows them to test their designs and make sure the final products will be strong, safe, and durable before the first block is laid or concrete is poured.


open Discussion Questions

  • Can arches be built with materials other than stone? Can you think of any examples of real-world arches that are not stone?
  • Which combination of supports and arches allows you to build the highest arch? Why?
  • Can you describe in words (rather than in pictures) how the forces are balanced in an arch to keep it upright and stable?

open Teaching Tips

Here are suggested ways to use this interactive resource and activity ideas to engage students with this topic.

  • Using the interactive activity: Use the following suggestions to guide students’ exploration of the interactive activity:
    • Before: Ask students to identify any arches in the classroom, school buildings, or community that they can think of. Can they find pictures of arches in their community on the Web? Tell them that they are going to use an interactive activity that will teach them more about how arches stand up.
    • After: Ask students to make a list of the different types of arches and supports used in this interactive activity. Can they identify any of them in real buildings?
  • Doing a classroom activity: Bring in photographs of the tallest buildings and skyscrapers in the world today. What kinds of arches and supports, or other structural features, do people use to build buildings this tall?
  • Doing research projects—individual: Instruct students to look for a stone arch outside and make a sketch. Ask them to answer the following questions: Is it round or pointed? Is it buttressed? Does it have a pinnacle or a flying buttress? Describe how the downward and outward forces are balanced to keep the arch upright and stable.

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