Lesson Skyscrapers:
Engineering Up!

Quick Look

Grade Level: 7 (6-8)

Time Required: 1 hours 15 minutes

Lesson Dependency: None

A skyscraper most of its upper floors extending over the footprint of its lower floors.
The Citicorp Center in New York City features a unique cantilevered design.
copyright
Copyright © Building Technologies, Columbia University

Summary

Skyscrapers are one of the most glorified products of civil engineering and contain an interesting history of progress and development. Students learn about the history of the world's tallest free standing structures and the basic design principles behind their success. Then, through two associated activities, students are given tower design challenges, as if they were civil engineers. They build their own newspaper skyscrapers with limited materials and time, trying to achieve a maximum height and the ability to withstand a "hurricane wind" force. Then they build their own balsa towers in a competition for height and strength. Discussion focuses on materials, forces that skyscrapers must be able to withstand, basic tower design considerations (foundations), as well as examples unique and inspiring design solutions.

Engineering Connection

Engineers face many challenges in their quests to build ever-taller skyscrapers. The two associated activities are both engineering design activities providing students the opportunity to act as civil engineers to meet design objectives within limitations.

Learning Objectives

After this lesson, student should be able to:

  • Identify several different structural engineering principles relating to skyscrapers.
  • Match design principles with famous skyscrapers.
  • Explain and appreciate the challenges and difficulties in building tall structures.

Introduction/Motivation

View from below, looking up at a glass covered skyscraper, reflecting the blue sky and nearby shorter towers.
The Willis Tower (formerly the Sears Tower) in Chicago, IL

Ask students to name what they think is the tallest skyscraper (free-standing structure) in the world (and where it is), in the U.S., and in their home towns.

Proceed to tell them the correct answers to these questions and compare their heights to each other and to other lengths the students can relate to (football field lengths, portion of a mile high, etc.) (See Lesson Background information.)

Tallest building in the world – Burj Khalifa located in Dubai, United Arab Emirates, 2,717 feet tall (~9 football fields high) Tallest building in the U.S. – One World Trade Center, located in New York City, 1,776 feet tall (~6 football fields high)

Proceed to conduct the Newspaper Towers  and Balsa Towers associated activities so that students can discover, through trial and error, which structural designs work better than others.

Lesson Background and Concepts for Teachers

After students have completed the newspaper tower activity, present them with the following history of skyscrapers and the photographs provided throughout this lesson.

Skyscraper Presentation

Photo of a town of stone buildings with tile roofs, including many tall towers that rise above the rest of the buildings.
The San Gimignano Towers in Italy.

For the beginning of the presentation, read the "Skyscraper Basics" portion of PBS's Building Big website. The information about the San Gimignano Towers, gothic cathedrals, steel and iron, and elevators provide a brief but informative early history of skyscrapers.

Foundations are a critical design element that enable skyscrapers to stand on the ground beneath them. Skyscrapers themselves would exert too great a force over too small an area for the soil to support them. Thus, tall towers require foundations to help spread that force over a larger area. If the soil is still too soft even with a large foundation, sometimes geotechnical engineers direct construction crews to dig down to reach bedrock to as an anchor to better support a building. However, sometimes, like in San Francisco, and many other coastal areas, the bedrock lies deep underground. In those cases, MANY concrete piles (long rods of concrete) are driven into the ground with a large diesel hammer until they hit the bedrock. Then, the foundation and skyscraper sits on those piles.

A black and white photograph shows a 14-story bilding on the corder of a city block.
The Home Insurance Building.

The Empire State Building was completed in 1931 in New York City. It remained the tallest structure in the world for more than 40 years! PBS's Building Big website provides background information and interesting facts about the Empire State Building.

In discussing the Empire State Building, point out that its 3-D grid of columns evenly spaced throughout the entire structure prevented having large open spaces, it was noted for its fast construction, and its more-than-necessary amount of columns (redundancy) enabled the building to withstand the impact of a B-25 bomber.

A tall gray skyscraper with a pointed antenna at its peak.
The Empire State Building was the tallest building in the world from 1931-1972.

The Citicorp Center in New York City solved an interesting engineering design problem. Although it was never the tallest building in the world, it still is a very impressive civil engineering feat. PBS's Building Big website provides information and interesting facts about the Citicorp Building and obstacles its designers had to overcome.

In discussing the Citicorp Center, point out its cantilevered structure that allowed the nearby church to remain in place. Also, an interesting fact is that when Hurricane Ella was approaching the city and the Citicorp Center, the city was only hours away from evacuating the area, concerned that the tower would not withstand the gale wind forces. Briefly discuss its tuned-mass-damper, an advanced engineering accomplishment.

A photograph shows two side-by-side thin skyscrapers, connected by a mid-way horizontal bridge.
The Petronas Towers in Malaysia.

Point out to the students the bundled tube structure of the Willis Tower (formerly known as the Sears Tower) and how it works to withstand both lateral and vertical loads. In addition, describe how this tower sits on a large number of piles driven down to the bedrock.

The Petronas Towers in Kuala Lumpur, Malaysia, were featured in the movie Entrapment, and were until 2004 the tallest building in the world, and the first tallest skyscraper not located in the U.S. PBS's Building Big website provides Information and interesting facts about the Petronas Towers.

When discussing the Petronas Towers, point out the near-cylindrical design of the towers and how this enables the towers to experience a lower wind force than if they were rectangular in nature. Also, mention the double-decker elevators, which are a fairly new-development that permit more stories and higher towers to be built.

When completed, the Taipei 101 in Taipei, Taiwan, was the tallest structure in the world standing 509 m high (1671 ft). This skyscraper is built in a highly active earthquake zone and thus features a tuned mass damper system to increase its ability to withstand tremors. This tower also has double-decker elevators, similar to those in the Petronas Towers.

The Burj Khalifa, designed by the same Chicago-based architectural firm that designed the Sears Tower and One World Trade Center, is now the tallest building in the world. Located in Dubai, United Arab Emirates, the Burj Khalifa's structure tapers as it rises. The building's designers created a new structural system – called a buttressed core – to support its massive weight. This system uses a hexagonal core with reinforcement from three supporting members that form a Y shape, helping to keep the building from twisting. To further reduce stress on the building, its design was rotated so that it faces less of the area's prevailing winds.

Vocabulary/Definitions

cantilever: A projecting structure supported only at one end, like a shelf or a diving board.

civil engineering: A field of engineering pertaining to non-moving structures such as roads, sewers, towers, buildings and bridges.

deflection: The amount a structure bends or moves from its "at rest" position.

foundation: A large, deep and wide concrete base that a tower sits on, always much wider than the tower itself. Sometimes foundations rest upon soil, other times, soil is removed so the foundation can rest on or attach to bedrock below. When the bedrock is too deep, concrete or steel piles are used.

lateral force: A force that impacts a structure horizontally, such as winds and earthquakes.

member: A beam or column of a structure.

redundancy: The structural design principle of placing more columns and beams in a structure than is necessary. That way, if one or many beams or columns fail or break the building will still be able to support its own weight.

tuned mass damper: Typically a large block of concrete that sits on a structure's top floors to counteract the wind and earthquake forces. When an earthquake or high winds force the structure one way, the block slides the other way, dampening the affect.

Assessment

Concluding Discussion: Ask students the following questions and discuss as a class:

  • Which newspaper tower designs worked and which did not work? Why?
  • Compare successful towers to skyscrapers discussed in the lesson introduction. What are successful design approaches? (Examples: Wide bases, deep and anchored foundations, using the triangle as the strongest shape, the bundled tube shown in the Sears Tower diagram, etc.)
  • Why might limiting the amount of materials be realistic and sometimes beneficial? (Answer: Economic factors and limited budgets are a fact of life, non-renewable resources such as steel, less labor-intensive construction, etc.)
  • Why did you build your towers the way you did? Explain. (Encourage them to use the concepts and terms they learned in the history of skyscrapers presentation.)
  • How did your tower resist the wind load? What was your design approach? (Example answers: Certain parts of the tower supported the bulk of the load/force, or really slender towers so that the wind had less area to act upon.)

Lesson Extension Activities

Assign students to look at buildings in their town or simple structures in their neighborhoods and comment on aspects of the structures that help them support their own weight, or some active force impacting them.

Additional Multimedia Support

The Skyscrapers page at the PBS Building Big website provides a wealth of information on skyscraper basics and many examples for presentation to students. See http://www.pbs.org/wgbh/buildingbig/skyscraper/index.html

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References

Building Big. PBS. Accessed June 25, 2004. (source of lesson background information) http://www.pbs.org/wgbh/buildingbig/

Copyright

© 2013 by Regents of the University of Colorado; original © 2004 Duke University

Contributors

Kelly Devereaux, Benjamin Burnham

Supporting Program

Techtronics Program, Pratt School of Engineering, Duke University

Acknowledgements

This content was developed by the MUSIC (Math Understanding through Science Integrated with Curriculum) Program in the Pratt School of Engineering at Duke University under National Science Foundation GK-12 grant no. DGE 0338262. However, these contents do not necessarily represent the policies of the NSF, and you should not assume endorsement by the federal government.

Last modified: July 1, 2019

Hands-on Activity Newspaper Tower

Quick Look

Grade Level: 7 (6-8)

Time Required: 45 minutes

Expendable Cost/Group: US $1.00

Group Size: 3

Activity Dependency:

A photograph shows two twin skyscrapers with a horizontal bridge connecting them midway.
The Petronas Towers.

Summary

Student groups are challenged to design and construct model towers out of newspaper. They are given limited supplies including newspaper, tape and scissors, paralleling the real-world limitations faced by engineers, such as economic restrictions as to how much material can be used in a structure. Students aim to build their towers for height and stability, as well as the strength to withstand a simulated lateral "wind" load.

Engineering Connection

Students act as civil engineers as they design and build newspaper towers. They must pay particular attention to designing the tower to withstand the forces of high winds, a problem that students may not have considered in the construction of tall buildings.

Learning Objectives

After this activity, students should be able to:

  • Identify which designs can and cannot withstand the self-weight of the newspaper tower as well as a lateral wind load.
  • Explain how their towers worked to withstand the lateral wind load using terms learned in other lessons within this curricular unit if applicable or general engineering terms.

Materials List

  • newspaper
  • office tape
  • scissors
  • meter stick

Introduction/Motivation

Today, your engineering design challenge is to design and construct a model tower using only newspaper and tape and scissors. Your team will be given limited supplies and a time limit. The tower must be as tall as you can make it, but also stable enough to stand up to a wind load since it will be built in a hurricane-prone region.

Your task mirrors the challenges that engineers are given in the real world—with objectives, requirements and constraints such as budgets, material limitations and deadlines. An engineering team that can design a structure to meet the objectives with the fewest materials (hence, less cost), is favored over other companies that cannot utilize the given materials as effectively.

When you are brainstorming about your design approach in your teams, think about the real skyscrapers you have seen as inspiration, including the tallest buildings and towers in your home town. What are their shapes? What are their foundations like?

(Move on to provide students with details provided in the Procedure section so that they understand how much material they may use and how much time they have.)

Procedure

Background

Several solutions to this design challenge are more obvious that others, although students can definitely surprise you with unexpected designs that work quite well.

  • Rolling several small tubes to attach to the bottom or a central tube of newspaper is a good design. The cylinder acts to allow the tower to have the wind go around the building. The more narrow and slender the tower is at height the better it is able to withstand the "wind" because less surface exists for the wind to act upon.
  • Another solution is a tripod type design. While the majority of the newspaper is used to build up, toward the bottom, three tightly wound newspaper rolls extend down from the tower to the table at an angle. This gives the tower more resistance against toppling in the wind load.
  • Another solution involves having a very wide base for the tower to sit on, like a foundation.

With the Students

  1. Divide the class into groups of three students each.
  2. Distribute scissors around the classroom for students to share. Give each group 12 inches (30 cm) of tape and three full sheets of newspaper.
  3. Give teams 20 minutes to test different designs.
  4. After 20 minutes, students are allowed to return all their materials to the teacher in exchange for another 12 inches (30 cm) of tape and three more sheets of newspaper.
  5. Give students an additional 25 minutes of construction time.
  6. TESTING: Measure and record the height of the final tower. Then step away from the tower so it is at arm's length and blow out a full breath to simulate a hurricane. A successful tower will not topple over. Make sure the tower is not secured to a table, the floor or any other piece of furniture or wall. As an additional component, set the fan to a given speed and place the fan 3 feet from the tower and move closer until the tower falls. Then have students plot the height of the tower (independent) vs.the distance between the fan and tower (dependent); discuss any patterns.
  7. Have students determine the median and mean height of all towers. Ask students to discuss any patterns.

Vocabulary/Definitions

buckling: When a column fails by bending at some point in the height of the column, usually towards the midpoint caused by a vertical force.

bundled tube : The design principle that the Sears Tower is built on. The building is basically a collected bunch of tubes, with all the supporting columns of each "tube" located on the perimeter of the tube. This structure is very good at resisting wind loads.

civil engineering : The field of engineering pertaining to non-moving structures such as roads, sewers, towers, buildings and bridges.

deflection : The amount a structure bends or moves from its "at rest" position.

lateral force: A force that impacts a structure horizontally (that is, wind and earthquakes).

tube-style support: Implemented on building such as the World Trade Center, Sears Tower, and many newer structures. The majority of the supporting columns are mover to the perimeter of the tower instead of spread throughout. This allows open expanses of floor space on every floor.

Assessment

Concluding Analysis: Have students explain how their towers work to resist the "wind" load, using engineering terms learned from earlier in the lesson, or from other lessons within the curricular unit if applicable.

Graphing: Have students plot tower heights on a histogram or boxplot. 

Results Debriefing: Have students discuss as a class what designs did and did not work and why that was so. Examples of successful design approaches included: triangular base, wide base, small tower surface area, tubes, etc. Examples of unsuccessful design approaches include: large flat surfaces for tower sides, small bases, etc.

Safety Issues

Watch that students are careful with the scissors.

Troubleshooting Tips

If students are struggling, consider allowing more time or providing more materials.

If students are struggling for design ideas, suggest they think about tall buildings they may have seen in cities or in their own towns that have cylindrical shapes or large foundations or triangular trusses for support. If necessary, suggest more specifics, such as the idea of rolling the paper for strength and/or using a triangular or wider base.

Activity Extensions

Have students try building newspaper towers for height only or to support an object. Have them then compare the differences in design between towers designed to hold vertical vs. lateral loads, and between towers that are not designed to hold any weight but their own.

Activity Scaling

  • For younger kids, allow more time and materials, and suggest some design ideas.
  • For high school students, allow less time and fewer materials, or have them use only one sheet of letter-sized paper but more time. In addition to the tower height, independent variables upon which to focus could be angle of support legs, number of support legs, length of support legs, base diameter to height ratio, and/or total mass of tower.

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References

Building Big. PBS. Accessed June 25, 2004. http://www.pbs.org/wgbh/buildingbig/

Copyright

© 2013 by Regents of the University of Colorado; original © 2004 Duke University

Contributors

Kelly Devereaux and Benjamin Burnham

Supporting Program

Techtronics Program, Pratt School of Engineering, Duke University

Acknowledgements

This content was developed by the MUSIC (Math Understanding through Science Integrated with Curriculum) Program in the Pratt School of Engineering at Duke University under National Science Foundation GK-12 grant no. DGE 0338262. However, these contents do not necessarily represent the policies of the NSF, and you should not assume endorsement by the federal government.

Last modified: November 8, 2021

Hands-on Activity Balsa Towers

Quick Look

Grade Level: 7 (6-8)

Time Required: 2 hours

(can be split into two 60-minute sessions)

Expendable Cost/Group: US $10.00

Group Size: 4

Activity Dependency:

Photograph shows street view looking up at very tall glass-covered skyscraper that reflects the blue sky and nearby tall buildings.
The Sears Tower, Chicago, IL

Summary

Students groups use balsa wood and glue to build their own towers using some of the techniques they learned from the associated lesson. While general guidelines are provided, give students freedom with their designs and encourage them to implement what they have learned about structural engineering. The winning team design is the tower with the highest strength-to-weight ratio.

Engineering Connection

Civil engineers design and build structures all around us. The bridges, roads, and skyscrapers are all projects that take time to plan, prototype, and create. Students act as if they are civil engineers, and make balsa wood towers to meet a design requirement. They use the engineering design process to brainstorm, design, test and redesign their model towers.

Learning Objectives

After this activity, students should be able to:

  • Draw structurally sound 2D designs on paper.
  • Construct 3D structures from 2D designs.

Materials List

  • markers
  • large sheets of paper, such as butcher paper
  • quick drying epoxy glue (90-second or 5-minute)
  • 1/4 x 1/4 inch balsa wood strips
  • 1/8 inch balsa wood sheets
  • (optional) dremel tool
  • measuring rulers
  • utility knives (for students, if possible, otherwise one for the teacher)
  • newspaper, to protect table tops from glue
  • scrapwood, to cut on (and protect the table tops)
  • goggles, one per person
  • scale, to weigh towers
  • flat board, to set on top of a tower and on which to place weight for testing
  • weights or many identical books, to use as mass/weight to test tower strength
  • Structural Strength Testing Handout, one per student

Source for balsa wood and glue: http://www.specializedbalsa.com/

Worksheets and Attachments

Visit [www.teachengineering.org/curriculum/print/duk_tower_tech_less] to print or download.

Introduction/Motivation

Your engineering design challenge today is to build a structurally sound tower with a favorable strength-to-weight ratio using only the materials provided. Working in teams, you will experiment with various designs and come up with what you believe is the best one.

Who can tell me what we mean by "strength-to-weight ratio"? (Listen to student explanations. Correct and amend as necessary.) That's right, it is the ratio of the amount of weight a structure can hold to the mass of the structure itself.

Which team will succeed in building a tower with the highest strength-to-weight ratio? Let's get started!

Procedure

  1. Gather materials and make copies of the Structural Strength Testing Handout, one per student.
  2. Divide the class into groups of three or four students each. Hand out the large-sized paper and writing implements.
  3. Direct the teams to brainstorm and imagine possible solutions and then sketch their tower ideas and designs on the large-sized paper. One possible tower-building technique is to build each side (either 3 or 4) and then attach each side together. Or, take a ground-up approach and build all of the sides of the tower at the same time. Expect students to discover what shapes are the strongest in the design of a physical structure.
  4. Distribute the building materials.
  5. Explain safety techniques that pertain to the utility knives, epoxy glue and dremmel tool. See the Safety Issues section.
  6. Demonstrate for students on how to safely cut and glue together two pieces of balsa wood. Note that epoxy glue has two components: resin, and hardener. To use it, apply a small amount of the resin to the area to be glued, and then apply the hardener, which makes it dry practically instantly.
  7. Give the teams time to build the towers on their own.
  8. If some groups finish early, suggest that they decorate their towers, keeping in mind the strength-to-weight ratio objective.
  9. Hand out the worksheets for students to record their testing data and the data from other groups.
  10. Test each tower to see how much it weighs, and how heavy a load it can support. In order to test a tower's strength, place a flat board on the top of the tower. Then, carefully apply masses (such as a book at a time) to simulate a load. Remind students to record the results (tower weight and load weight at failure) for every team's tower test.
  11. Have students calculate strength-to-weight ratios and graph the class results on the worksheets.
  12. Lead a class discussion: Compare results. Which team design was the most successful? Why?
  13. After the initial testing, expect that students have learned a lot about what worked and what did not work. Point out that the engineering design process is "iterative," meaning it is a cycle that is repeated over and over so that improvements can be made from what is learned in testing, until a successful design is achieved. Do they have ideas to improve the strength-to-weight ratio of their towers? Give groups time to redesign and reinforce their towers, and test again.
  14. Compare designs and have teams share their designs to the class. 

Vocabulary/Definitions

buckling: When a column fails by bending at some point in the height of the column, usually towards the midpoint and caused by a vertical force.

civil engineering: The field of engineering pertaining to non-moving structures such as roads, sewers, towers, buildings and bridges.

deflection : The amount a structure bends or moves from its "at rest" position.

lateral force: A force that impacts a structure horizontally, such as winds and earthquakes.

strength-to-weight ratio: A ratio of the amount of weight a structure can hold to the mass of the structure itself.

Assessment

  • Did all group members participate in the design, construction, and testing of the tower?
  • How well did the towers perform, compared to expectations?
  • What would students do differently next time (did they learn from their mistakes)?

Investigating Questions

  • Which shapes/structures seem to be the strongest while using the least material?
  • If you were going to tell someone how to build a strong and light tower, what instructions and advice would you give?

Safety Issues

  • Several safety issues must be taken into account when building the towers. Require students to wear safety goggles when cutting with utility knives, using epoxy glue and using the dremel tool. Also, since utility knives are very sharp, supervise their use at all times and direct students to always cut down and away from themselves and other people. Epoxy glue is very strong and dries very fast so students should be careful not to get any on their skin.
  • If not enough adults are available to adequately supervise students using utility knives, use 1/8 inch square balsa wood strips because they can be cut with scissors.

Troubleshooting Tips

If a team's tower is weak or unstable, have students examine each region of the tower and think about how they can reinforce it.

If epoxy glue is not practical or students have trouble with it, super glue works as an alternative.

Activity Extensions

Lead a class brainstorming session in which you ask students what they would tell someone who wanted to build a strong tower and had no idea how.

Subscribe

Get the inside scoop on all things TeachEngineering such as new site features, curriculum updates, video releases, and more by signing up for our newsletter!
PS: We do not share personal information or emails with anyone.

Copyright

© 2013 by Regents of the University of Colorado; original © 2004 Duke University

Contributors

Kelly Devereaux, Benjamin Burnham

Supporting Program

Techtronics Program, Pratt School of Engineering, Duke University

Acknowledgements

This content was developed by the MUSIC (Math Understanding through Science Integrated with Curriculum) Program in the Pratt School of Engineering at Duke University under National Science Foundation GK-12 grant no. DGE 0338262. However, these contents do not necessarily represent the policies of the NSF, and you should not assume endorsement by the federal government.

Last modified: July 22, 2020