Tuesday 2 June 2015

Keeping You in Suspens(ion)

Introduction

The Akashi-Kaikyo Bridge, shown in Figure 1, is the longest suspension bridge. in the world, at the time of this writing (January, 2014). The bridge is 3911 meters (m) long overall, with a central span of 1991 m. The bridge is in Japan, where it connects the city of Kobe (on the large island of Honshu) with Iwaya (on Awaji Island, a smaller island in Japan). In addition to the sheer length of the bridge, the engineers who designed it also had to consider the environment: high winds, strong sea currents, salt air, and the potential for earthquakes in the area.
The Akashi-Kaikyo Bridge, the longest suspension bridge in the world.
Figure 1. The Akashi-Kaikyo Bridge, in Japan, is the longest suspension bridge in the world. (Image credit: Kim Rötzel)
In a suspension bridge, the bridge deck (the part of the bridge that supports the load, such as cars and their passengers) hangs from, or is suspended by, massive cables. These cables stretch between the bridge's towers, and are securely anchored at each end. The cables are thus under tension (they are being tightly pulled on) while the bridge towers are under compression (they are being compressed, or pressed down on).
For long spans, the suspension bridge is usually the most economical choice, because the amount of material required per unit length is less than for other bridge types. However, since suspension bridges are relatively flexible structures, stress forces introduced by high winds can be a serious problem. The dramatic collapse of the Tacoma Narrows Bridge, captured on film, is a pointed example. You can watch the video below to find out more about the Tacoma Narrows Bridge and its collapse in 1940.

In this engineering science project, you will use simple construction materials to build and test two types of bridges: a simple suspension bridge and a beam bridge. A beam bridge is the simplest type of bridge, and is supported by a raised part on either end. For example, a beam bridge could be as simple as a wood plank put down to cross a stream. Which type of bridge do you think can support a heavier load?

Terms and Concepts

  • Suspension bridge
  • Bridge deck
  • Tension
  • Compression
  • Beam bridge

Questions

  • In a suspension bridge, which parts of the bridge are under compression?
  • Which parts of a suspension bridge are under tension?
  • How is a suspension bridge different from a beam bridge? Why might they be used in different situations?
  • How does an engineer decide which type of bridge to use for a particular site?

Bibliography

This science project idea came from the PBS website, "Building Big." Their page on bridges is a good place to start your background research:
On this website, you can learn about different types of bridges (arch, beam, suspension, and cable-stayed), and then play "Build A Bridge." You will be given a site description, and you have to decide which bridge type would work best there.

Materials and Equipment

  • Box of drinking straws
  • Masking tape or painter's tape
  • Thread
  • Scissors
  • Paperclips (4). At least two of the paperclips should be large ones.
  • Paper cup, at least 8-oz.
  • Pennies (at least 350). Alternatively you could use other coins, such as quarters (at least 150), as long as you use all of the same type of coin.
  • Metric ruler or tape measure
  • Chairs, tables, or desks that you can arrange to build a bridge between (2)
  • Optional: Scale, accurate to 1 g, such as the digital pocket scale available from Amazon.com
  • Lab notebook
Materials needed to build different bridge designs.

Experimental Procedure

  1. If your straws are the flexible type, cut the flexible part off (so that you are left with a long, straight, non-bendable straw piece), as shown in Figure 3. Cut 10 straws this way. Make sure they are all the same length; trim some using the scissors if necessary.


Drinking straw with the flexible part cut off.
Figure 3. If you are using flexible straws, cut off the short flexible part so you are left with the long, straight piece (on the left in this picture).


  1. Cut two short pieces of straw, each 3 centimeters (cm) long, as shown in Figure 4.


Two 3 cm-long straw pieces next to a tape measure
Figure 4. Cut two short pieces of straw, each 3 cm long.


  1. Tape two long straws on either side of one of the short pieces of straw. Do this at one end of the long straws. Then, tape the long straws together at the other end, as shown in Figure 5. This is a tower for your suspension bridge.
    1. If you are using flexible straws, the "long" straws will be the ones you prepared in step 1, above. If you are using non-flexible straws, use uncut straws for the long straws.
  2. Repeat step 3 to create a second tower.




straws taped together with a short piece between them, making a bridge tower
Figure 5. Create a bridge tower by taping two long straws together around a short straw piece on one end. Make two bridge towers this way.


  1. Tape one tower to the edge of a desk, table, or chair, as shown in Figure 6. Tape the second tower to a second piece of furniture at the same height. Position the towers far enough apart so that you could fit a straw between them, as shown in Figure 7.
    1. If you are using flexible straws, you may need to position the towers about 13 cm apart.
    2. If you are using non-flexible straws, you may need to position the towers about 17 cm apart.


Bridge tower made of straws taped to a chair.
Figure 6. Tape a tower to the edge of a chair, desk, or table.


Bridge towers taped to chairs and positioned apart from each other.
Figure 7. Tape the other tower to a different piece of furniture that is the same height.
Move the tower positions so that you could fit one long straw between them.


  1. Place another straw between the towers so its ends rest on the short pieces, as shown in Figure 8. This straw is the bridge deck. Now you have a simple beam bridge.
    1. If you are using flexible straws, use one of the straws you cut in step 1, above, as the bridge deck.


Simple beam bridge made from straws.
Figure 8. Place a straw between the towers. This straw (in pink here) is the bridge deck and should rest on top of the small straw pieces.
You now have a simple beam bridge.


  1. Make a load tester by unbending a large paperclip into a V-shape. Poke the ends of the paperclip into opposite sides of a paper cup, just below the thick rim, as shown in Figure 9.


A paper cup with a paperclip attached to the top.
Figure 9. Make a load tester by bending a large paperclip into a V-shape and poking the ends into a paper cup, on opposite sides just below the rim.


  1. Use a second large paperclip to hang the load tester over the bridge deck. Do this by attaching the two large paperclips together, and then sliding the new one around the bridge deck straw, as shown in Figure 10.


A beam bridge made of straws with a load tester (cup) attached.
Figure 10. Attach the load tester (paper cup) to the bridge deck (the pink straw here) by using a second large paperclip.


  1. In your lab notebook, make a data table like Table 1. You will be recording your results in this data table.
Bridge DesignTrialNumber of PenniesAverage Number of Pennies
Beam Bridge1  
2 
3 
Suspension Bridge1  
2 
3 
Table 1. In your lab notebook, make a data table like this one to record your data.
If you use coins other than pennies, be sure to change the words in your data table.
  1. Add pennies (or other coins, all of the same type) one at a time into the load tester cup. In your data table, record how many pennies the paper cup can hold before the bridge fails. This will be trial 1. Record any other observations you make, such as how the bridge failed, in your lab notebook as well.
    1. If you have a scale, you could also weigh the mass (in grams [g]) of all of the pennies together that caused the bridge to fail. If you do this, make another data table like Table 1 in your lab notebook but instead of "Number of Pennies" label the columns "Mass of the Load (in grams)."
  2. Replace the straw that was the bridge deck with a new straw.
    1. If you are using flexible straws, this would be one of the other ones you cut in step 1.
    2. You are replacing the bridge deck straw because it likely became bent and damaged when the bridge failed.
  3. Repeat steps 10–11 at least two more times so that you have done a total of at least three trials using the beam bridge design.
  4. Now change the beam bridge into a suspension bridge. Tie the center of a 100 cm piece of thread (acting as your bridge cable) around the middle of a new bridge deck straw. Place the straw between the towers. Pass each end of the cable over a tower and down the other side.
  5. To anchor the suspension bridge, tie each end of the cable around a paperclip. Slide the paperclips away from the towers until the cable pulls tight. Then tape the paperclips firmly to the furniture, as shown in Figure 11. Overall, the suspension bridge setup should look similar to Figure 12.


The right side of the suspension bridge, where the cable is taped to the furniture.
Figure 11. Attach each end of the cable to a paperclip and tape the paperclip to the furniture,
as shown here (for only the right side of the bridge), so that the cable is tight..




The middle part of a suspension bridge model.
Figure 12. In this picture you can see the middle part of the suspension bridge.
The cables are taped to the furniture outside of the picture, to the right and left sides.


  1. Attach the load tester cup, as shown in Figure 13, , and repeat steps 10-12 so that you have tested the suspension bridge design in at least three trials. Be sure to record your results in your data table.


The middle part of a suspension bridge model with a load.
Figure 13. Attach the load tester (cup) to the bridge deck (the blue straw here) as you did before.


  1. Calculate the average number of pennies needed to make each bridge design fail and record your results in your data table.
    1. For example, if for the beam bridge it took 180 pennies in trial 1, 190 pennies in trial 2, and 195 pennies in trial 3 to make the bridge fail, the average number of pennies needed to make the bridge beam fail would be 188 (since 180 + 190 + 195 = 565, and divided by 3 equals 188).
  2. Make a bar graph of your results. On the x-axis (the horizontal axis) put the name of the bridge design and on the y-axis (the vertical axis) put the average number of pennies needed for that design to fail.
  3. If you weighed the mass of the pennies, you can repeat steps 16 to 17 to calculate the average mass of the load (in grams) needed to fail each bridge design and then make a bar graph of your results.
  4. Analyze your results. Looking at your data and graph(s), which bridge design could hold more pennies? Which bridge design is stronger? Is it a little stronger, or a lot stronger? Why do you think you got the results that you did?

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