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In this lesson, the shake table activity is adapted from materials by D. Rathjen at the Exploratorium Teacher Institute (2003). The wall model activity is adapted from materials from Seismic Sleuths (FEMA/AGU, 1994).
The tabletop exercise is expected to take about 45–60 minutes to complete. The hands-on activities are expected to take 2–3 hours total.
3. Some materials and shapes can withstand the different types of loads better than others. For example, stone materials can handle compression well, but because they are brittle they do not attenuate tension well. Most metals, such as aluminum and steel, can handle all types of loads well if they are properly shaped. As an example of this, a circular tube can handle loads well, but the slightest defect in the shape (such as a dent or hole) will greatly weaken the shape. To demonstrate this idea, begin with two identical cardboard paper towel tubes. Take one of the tubes, bend it to a 90° angle, and then straighten it again to its original shape. Erect both tubes vertically on the flat surface of a table about 30 cm apart. Now place heavy weights (such as large books) on top of each tube, one at a time. The tube that was bent will not support as much weight as the unbent tube.
4. Different materials can be used together to build structural elements that react well to all load types. Concrete, a stony material, can be used to build a structure with steel bars along its length so that the stony material carries the load during compression while the steel carries the load during tension.
Note: This Tabletop Exercise was developed to help explain structural hazards associated with earthquakes. Structural hazards vary depending on the topography, geology, and architecture employed from region to region as well as on the workmanship and quality of materials used in individual structures. This exercise will explore some of the basic lessons that can be learned by observing actual structures that have survived earthquakes and actual structures built in the aftermath of earthquakes.
Read the following scenario while stopping to ask questions and discuss the material with your students at the indicated points or when students ask questions that are relevant to the discussion of earthquake hazards:
Sami lives with his family in a city. A very powerful earthquake has recently destroyed many parts of their city. Fortunately, Sami's family was prepared for the earthquake with some basic supplies: a first aid kit, some food and water, and a family/community communication plan. (Earthquake preparations will be discussed in detail in Lesson 11.) Now that the earthquake has passed, many people are beginning the difficult task of rebuilding the city.
Sami's uncle, Mr. Jamali, is an architect who he has become very busy — with people coming to him day and night about getting their homes rebuilt, making repairs to damaged buildings, or making modifications to their existing buildings to survive the next earthquake. Mr. Jamali is so busy that many of his best assistants are overwhelmed with work, so he has asked Sami for help. Sami will begin as an apprentice to Mr. Jamali, and will be given tasks that will train him to recognize the best design aspects of buildings that allow them to survive earthquakes. Sami's first job is to make a survey of the buildings around the city that stood through the earthquake. He drove around the city with his brother, took many pictures and notes, and is now reviewing them to find any patterns.
At first, there were so many pictures that Sami didn't know where to start.
Note: This question is intended to be very general and is designed to encourage students to be aware of the limitations of the information collection process. There are many different possible answers that may or may not have anything to do with structural hazards. Encourage your students to share their ideas If necessary, have them look at the pictures and accompanying notes to help them get some ideas to get started.
Potential answers: While human memory and thought selectively focus on specific topics or items of interest, pictures capture an entire scene. The pictures contain lots of information that humans may not be paying attention to right away, or that humans might need more time to process; therefore, they are a very helpful way of recording information about structures.
It is important to take notes that accompany pictures because it is easy to forget where or when a picture was taken, especially if many pictures were taken in a single day. Pictures also do not record important information that may help to understand why a particular building survived (such as how old the building is), whether the soil was wet or loose, or whether the building was built on a slope. These details may be important for forecasting future problems that buildings may experience, such as liquefaction (see Lesson 7) or landslides (see Lesson 8).
Sami decided to focus on pictures showing buildings that stood through the earthquake next to buildings that collapsed partially or completely (such as pictures 1–6). In this way, the strength of the earthquake and the composition of the soil that the structures are sitting on would be similar in the observed pictures. This helps compare and contrast structures that did or did not collapse during the earthquake under similar conditions.
Potential answers: According to the notes, both pictures were taken near the ancient ruins of the city. Both buildings used bricks, but the ancient ruins used mud bricks while the old buildings used modern stone bricks. Yet the ancient ruins are much older than the buildings that have collapsed in picture 2; likewise, they have survived the earthquake without collapsing their roofs. Presumably, the ancient ruins have also survived other powerful earthquakes over the past hundreds of years.
Some possible reasons: While the ancient ruins used rounded arches to support the roof, it looks like the newer buildings used straight walls and sharp angles. Arches and domes, therefore, might survive earthquakes better than straight walls and box-like buildings. This idea is supported by picture 1, which shows that while the roof and connecting walls are still standing, the flat wall that is not part of the arches has collapsed. Alternatively, the ancient buildings in picture 1 might have been built with better craftsmanship than the buildings in picture 2. But Sami should investigate these ideas by revisiting the sites and gathering more information before making any definite conclusions.
While looking through all his pictures, Sami noticed that he was focusing on just the buildings, and that more than just buildings survived the earthquake.
Potential answers: Anticipate many different answers from your students to these questions. Some of the objects include trees, electrical and telephone cable poles, cars, and signs.
Trees are earthquake-resistant because they have a very deep root structure that anchors them to the ground, and they are well-balanced on all sides. Wood, as a material, is very strong and light-weight. However, while trees may survive earthquakes better than some buildings, trees can also produce falling branches during earthquakes and should not be sought for shelter unless absolutely necessary. In general, it is best to minimize the amount of material over one's head during an earthquake.
The telephone and electrical poles are also anchored in the ground, but sometimes not as well as trees. They must support weight that can pull in the direction of the cable, so any disruption in balance ( i.e., caused by collapsing buildings, falling tree branches on the wires) can cause them to fall over. Cars and signs are very low to the ground and do not support any external weights; therefore, they survive earthquakes very well unless they are crushed by something taller than they are.
Trees can produce falling branches. Electrical and telephone poles can bring sources of electrical shock down to where people are when they collapse. Cars have combustible fuel that can be released if something falls on them. Buildings should be designed to help reduce these hazards for people whenever possible.
Sami noticed that while the buildings in pictures 4 and 5 also used a similar stacking of stones and bricks as the the building that collapsed in picture 2, much of these buildings are still standing while others around them are not.
Potential answers: If you look closely, you will see that the standing walls in picture 4–6 are reinforced with steel, although the manner of reinforcement is different for each picture. Picture 4 shows an example of using steel cross-beams with brick-inlay walls. In the building in picture 5, the walls are made of cement and stones, and the non-reinforced front walls have collapsed. But the exposed surviving walls in picture 5 all show steel rods running throughout the wall — there are steel rods protruding from the front face of the upper wall. Also, steel rods can be seen running parallel to length of the walls on the lower floor in a couple of places where the cement has chipped or fallen away. In picture 6, a similar, smaller structure next to the large, standing building has steel protruding from the top surfaces, and it was perhaps being built by the same people who built the large building behind it. It is evident from the wall exposed on the lower right side of the large building that it is not completely brick, only brick inlay walls within a reinforced frame. The cracks on the upper floor of the bigger building on the right show where the frame has torn away from the bricks — even though the exterior paint is still intact.
Steel reinforcement is very important in terms of strengthening brick or stone walls because it adds tensile strength (i.e., the ability to withstand tension loads). This means that the wall can be stretched (lengthwise or side-to-side) without breaking easily. Rocks and bricks can handle compression loads very well. However, a stone or brick wall when stretched in response to a tension or shear load will crack and collapse at much lower loads than they can withstand under compression. During an earthquake, vibrations stretch, compress, and shear all the pieces of a structure. Steel is a much more flexible material than stone. Therefore, the combination of steel with brick or stone means a wall can be compressed, stretched, sheared, and expected to survive an earthquake.
Sami began to notice throughout the day that collapsing walls don't necessarily mean that the roof will collapse, especially when the walls are reinforced with steel. However, as Sami spoke with people around the city, he heard again and again that roof collapse is a serious hazard. Many people were injured, trapped, or killed when heavy roof materials fell on them as the structure collapsed.
Potential answers: The roofs of most of the buildings in pictures 7 and 8 are made of lightweight and flexible materials, namely wood and thin sheets of metal. The roof materials in the other pictures were primarily heavy, inflexible pieces of mud, brick, stone, or cement.
Wood and metal are better than heavy materials in earthquake-prone areas for many reasons. The most obvious reason is that when these lightweight structures collapse, the roof materials are much lighter, thus causing much less injury to people trapped inside the buildings when they collapse. In addition, because the lightweight materials are more flexible, they also keep their shapes as they fall during an earthquake. This means that there may be more empty spaces within a collapsed structure that people can survive in when the building collapses around them. (By contrast, a stone or brick roof will tend to collapse into a pile with few empty spaces inside.)
Sami visited a home that was being built by his uncle with a lightweight roof, but something about the way the beams were attached to the reinforced cement columns bothered him. He took pictures of these attachments and took them home to think about what was bothering him. While speaking to survivors of the earthquake, Sami learned that wooden walls, beams, and boards are shaken so much that they can actually shift side-to-side or even bounce up-and-down at their attachment points as the earthquake occurs.
Potential answers: The wooden beams are resting on a flat surface on top of the cement column. If wooden beams and boards can shake side-to-side, back-and-forth, or up-and-down during an earthquake, it is likely that these wooden beams will be shaken off the top of the column, perhaps leading to the roof structure's collapse.
One better way to design this attachment would be to create a groove or pit that the wooden beams rest in. This makes it far more difficult for the wood to be shaken off of the attachment point, and after the building stops shaking the wooden beam will come to rest within the groove (figure 2).
Day 1:
Day 2:
Day 3:
Materials for one model wall:
Reinforcing elements for one wall:
2. Ask each group to select a spokesperson. The spokesperson should bring the structure to the front of the classroom and describe it (i.e. why the group built what it did).
3. Now ask all students to predict what would happen if you place a heavy item (like a brick) on their structure. Explain to students that the heavy item simulates the static force of gravity (vertical load) that every structure must carry. Explain to students that styrofoam is quite strong for its weight, so the heavy item can also represent the weight of all non-structural elements of a building (e.g. floors, wall coverings, electrical wiring). Explain to students that some building materials are strong and capable of supporting a significant amount of weight while others can be weak and collapse if too much weight is placed on them.
4. Now ask students to predict what would happen if they shook the base of their structures. Allow them to test this gently on their structures. Encourage them to share their observations.
Ask students to grab the square by opposite corners and squeeze (shape A). They will notice how easily they can change its shape. Now ask them to add another, slightly longer straw connecting two opposite corners (shape B). Students should be able to note how the diagonal straw stiffens the structure. Tell them they have just created triangles and diagonal bracing to make a sturdier structure. This occurs because the applied loads (the force on the structure caused by squeezing the corners) either stretch or compress each straw in a triangle. Narrow structural pieces are strongest when stretched or compressed, but they are weakest when they must bend, shear, or the load is transmitted through joints. For shape B, the diagonal brace is compressed and carries most or all the applied load; therefore, the diagonal brace strengthens the structure.
(Optional) Ask the students to determine, without touching the structure, whether the diagonal brace in structure B above also helps to support the structure if the structure is squeezed at the other corners that the diagonal brace is not attached to (upper left and lower right corners). Why or why not? After the students have discussed and formed a hypothesis, allow them to test their hypothesis using the model. The answer should be yes, it does support the structure even if it is squeezed at the corners that the diagonal brace is not attached to. In this case, the brace is stretched as the joints transmit the load throughout the structure. Since narrow structural pieces such as straws are strongest when they are stretched or compressed, the structure is still stiffened. Have the students discuss their answers and compare them to the behavior of the model.
5. Now ask them to predict what would happen if they held the base of their structures and pushed horizontally on the top. Allow them to test this gently on their structures, and have them share their observations with the classroom. Explain to them that buildings experience horizontal forces during earthquakes, and one way to simulate these forces is simply to push or pull a structure from the side. These forces cause compression, tension, and shear throughout the building structure depending on how the structure is built.
Note: You may want to explain to your students what a shake table is, particularly if they did not assist you with its construction. A shake table is a device that simulates an earthquake. Earthquake engineers and technicians use shake tables to observe how their building models respond to earthquakes. Show students the shake table they are going to use to test their structures. Allow them to take a close look at its components. Explain to them the purpose of each component. Refer to the link provided at the end of the lesson for detailed information about the shake table.
2. Now ask a spokesperson from each group to bring the structure to the front of the class. The spokesperson should describe that team's structure before placing it on the shake table. Encourage all students to predict what would happen to the structure when the shake table starts to vibrate. Explain that the motor speed is adjusted with the potentiometer, allowing the shake table to vibrate at different speeds. Ask the spokesperson to start with a slow motion and gradually increase the motor speed. Ask all students to observe what happens to the structure. Allow all groups to test their structures.
3. Encourage students in each group to discuss why their structures collapsed or did not collapse. Ask them to pay attention to the height, weight, and shape of their structures when discussing the response of their structures to the shaking. Students may argue that tall buildings collapsed quicker than short buildings, or wide structures survived better than narrow structures. Ask students to predict what would happen if buildings of different heights are next to each other when vibrating due to an earthquake. Allow students to test this using two structural models side-by-side on the shake table. The building may hammer together or collapse on one another during powerful earthquakes.
4. Now is time for an introduction to the concepts of amplitude, frequency, and resonance. Ask students what they already know about these concepts. Some students may know, for instance, that resonance and frequency are used in describing the tone of musical instruments and the quality of sound produced by different recording techniques and players. When explaining amplitude, remind students of what they learned in Lesson 6 (seismic energy). Amplitude is a measurement of the energy of a wave. In this activity, amplitude is how far to the side the block or structure moves. Frequency is the rate at which a motion repeats (or oscillates). In this activity, frequency refers to the number of oscillations in an earthquake wave that occur each second or each minute. In earthquake engineering, frequency is the rate at which the top of a structure sways. You may want to draw something similar to figure 3 when discussing these terms. Resonance is an increase in the amplitude of a physical system (in this case, students' structure models) that occurs when the frequency of the table shaking is close to the natural frequency of the structures.
Define natural frequency for the students: the frequency of vibration (or oscillation) which an object or system of objects (e.g., a building) will exhibit according to its structural design and building materials. To help the students understand the idea of natural frequency and resonance, discuss instances of natural frequency that surround the students in their everyday lives. When a student is playing on a swing, the student is moving at the natural frequency of the swing/student system. When a friend pushes on the swing to make the student go higher, the friend is pushing at the natural frequency of the swing/student system. This causes resonance: every time the student is pushed, the student goes higher on the swing and the amplitude of the swinging increases. If the friend does not push at the natural frequency of the system, the student will not go very high in the air and resonance will be lost. The same effect happens to buildings during an earthquake. If the earthquake vibrations push on a building at or near its natural frequency, it will begin to resonate, which causes the building to move with greater amplitude until some part of the building collapses or fails and the building falls apart.
5. Now draw a connection between the above concepts. Explain to the students that all objects or all structures (which are collections of attached objects) have natural frequencies. Explain that during an earthquake, buildings oscillate, and if the frequency of oscillation is close to their natural frequency, resonance may cause severe damage. Now place one of the wooden block structures on the shake table and encourage students to look for the presence of resonance as the table shakes. For particular motor adjustments, there may be certain places where the structure may be almost still while at other places it vibrates widely. This may be true for only parts of the structure but not the entire structure. For example, a part of a structure may exhibit notable vibration at a particular motor adjustment while another adjustment (faster or slower) causes almost no vibration. It is also possible that one structure may topple under conditions that hardly cause another to vibrate.
Allow all groups to test their structures (or simply a wooden block) for new observations. To do so, ask a student to place a block so that it is standing vertically on the shake table. Have the student slowly turn through different frequencies using the control knob of the shake table. At lower frequencies, the block should not respond much. At a certain frequency, the block will begin to shake excessively and perhaps fall over. This is the natural frequency of the block. If the student turns through this frequency quickly enough, the reaction of the block will not be so excessive and the block may continue to stand even though the shake table is moving faster. Some blocks may have a natural frequency that is outside the range that the shake table can provide. In a similar manner, have the student attempt to identify the natural frequency of many different lengths of blocks, block structures, or other long and slender objects in the classroom that can stand on their own. Allow plenty of excess time for the students to experiment with the shake table and their structures or blocks, and to ask and attempt to answer their own questions.
6. Explain to students that one way to protect a building from resonating with an earthquake is to isolate its foundation or base from the ground with devices much like wheels. This technique is called "base isolation" and is used by structural engineers who place buildings on devices that absorb energy so that ground shaking is not directly transferred to the building (figure 4). An appropriate analogy would be the relationship between automobiles and their suspension system of springs and shock absorbers, which cushion the occupants from a bumpy ride.
(Optional) If time allows, provide students with standard small wheels to be added to their models. Allow them to test their structures (with the wheels attached to their bases) one more time on the shake table.
To slow down structure oscillation and dispel seismic energy, seismic engineers may also use dissipaters. These are devices mounted among some elements of the building. During an earthquake, dissipaters are subjected to movements which are relative to each other. Dissipaters slow down the vibration by dissipating viscous or friction energy when the structure oscillates.
7. Encourage students to think about other ways of reducing resonance in a building. Ask them what other structural elements they can add to their buildings that would allow them to better withstand earthquake loads. This topic is discussed further in Day 3.
2. Divide students into small groups. Provide each group with enough material (base, craft sticks, screw nuts, and washers) to assemble a model wall (figure 5). Ask them to make sure that the joints are just tight enough to hold the upright shape of the wall, but loose enough to be moved easily. You may choose to assemble one model and use it in front of the classroom.
3. Now ask students to describe the components of the wall; ask them "what holds this wall up?" The answer is in the interaction of the vertical and horizontal elements to withstand the load of the structure. Explain to students what they refer to as weight will be called the force of gravity in this activity. Ask students to predict what would happen if you push the base of the wall side-to-side (as arrows show in figure 5b.), simulating an earthquake.
Note: Earthquakes may cause ground shaking in many directions (see Lesson 6), but in this activity students model shaking in only one direction.
4. Instruct one student in each group to gently move the bottom of the model from the lower right or left side back and forth (as arrows show in figure 5b.). When pushing fast, the model should collapse at the first floor only. Ask students why the other floors did not collapse. Ask them to point out where the weakest parts of the wall are based on the collapsed pattern. (The first floor collapsed because it was too weak to transfer enough horizontal force to move the upper stories. It could not transfer the shaking to the upper stories.)
5. Explain to students that pushing the base of the building is equivalent to applying force horizontally to the upper stories. Invite students to gently apply horizontal forces at different points on the model to simulate earthquake shaking.
6. Now ask students what could be done to strengthen the model wall. Students need to think about different ways through which the load can travel to the ground when strong forces act on the structure. Provide each group with pieces of cardboard, paper clamps, string, extra craft sticks, and a copy of Handouts 1a and 1b. On the diagram provided in Handout 1a, ask each student to draw a force arrow (a vector) and trace the path the force takes to the ground. Review students' diagrams to ensure their understanding of the concept.
7. Now challenge students to design and build three different arrangements of the structural elements. Each time they modify the design, they must modify the diagram to show the new load path. Students must test the strength of their model walls to ensure survival of all floors when a force is applied. When a structure is reinforced well, students should be able to push on the upper story and slide the whole structure without any of the walls failing.
Note: There are many possible configurations which will produce a structure that can resist applied forces. However, the minimum configuration must include a continuous load path from the upper left hand corner down to the base of the structure.
8. Invite students to discuss the questions listed in Handout 1b. Ask one student per group to record each group's response. After all groups finish the questions, have a spokesperson from each group present students' responses to one of the questions. Allow the class to come to some consensus on their responses to that question, and then proceed to another group until all the questions have been discussed.
Caution: Discuss with the students the similarities and differences between the wall model and what real walls experience during an earthquake. The primary difference is that whereas earthquake surface waves shake buildings back-and-forth (horizontal) and up-and-down (vertical), this model only simulates horizontal forces. In addition, the shaking motion of an earthquake applies forces with changes in direction and magnitude in a complicated way, but this model is best for studying steady, unidirectional applied loads. These are also known as "static" loads while changing loads are known as "dynamic" loads.
9. Explain to students that seismic engineers use similar methods to provide earthquake reinforcement for existing buildings. Engineers tend to use a combination of techniques to complement the strengths and weaknesses of each approach, which include the use of diagonal braces, shear walls, and rigid connectors. Diagonal braces (craft sticks in this activity) are usually built into a wall to add strength. Shear walls (cardboard pieces in this activity) are added to a structure to carry horizontal shear forces. These are usually solid elements and are not necessarily designed to carry the structure's vertical load. Rigid connections (paper clamps in this activity) do not permit any motion of the structural elements relative to each other.
10. Conclude this activity by helping students connect the behavior of their model walls to their mental images of real buildings during an earthquake. Emphasize that the back-and-forth motion, the horizontal component of ground shaking, is the force most damaging to buildings. Buildings are mainly designed to carry the downward pull of gravity, but they need to be able to withstand sideways, or horizontal, pushes and pulls in order to withstand earthquake shaking
Seismic Sleuths: A teacher's package on earthquakes, produced by the American Geophysical Union with support from the Federal Emergency Management Agency (1994).
Further Exploration
Key Questions
Key Concepts