What to do: Place a coin on the midpoint of the cardboard. What happens? Measure the height of the midpoint above the table. Put another coin on top of the first and again measure the height of the center of the cardboard. Repeat this until the cardboard bridge collapses. Draw lines on the cardboard 2" from either end, and make folds along these lines. Tuck the 2" flaps under the top pair of books so that the section in between makes a smoothly curving arch. Repeat the experiment above, measuring the height of the top of the arch as you add each coin. What do you notice? Is the cardboard able to support a heavier load when arched or not? Why do you this should be? Draw a graph for each of your sets of measurements. Taking it further: Try doing the experiment with arches of different heights (keeping the gap between the books the same). Which shape of arch is the strongest? |
Beams and Arches
Beams may be made of wood, stone, concrete, iron, or steel. They are very common in all types of buildings, old and new, because they are so simple to make. But they do have a big drawback. Beams will bend or break if too much weight is put on them. One way to get around this problem is to make the beam quite thick or build it using a very strong material. Alternatively, a different type of structure, such as an ARCH, may be used in the beam's place.
The shape of an arch gives it great strength. The downward force of any weight is carried away along the arch's smoothly curving sides to its supports. This spreads out the effect of any load. In a beam, by comparison, the load is usually greater at certain points than others, so that the structure has weak spots where it will tend to give way.
Holding Back the Water
A dam may take one of several basic forms. The simplest is the embankment or gravity dam. This slopes up on each side from a broad base (where it has to withstand the greatest water pressure) to a narrow crest. The Grand Coulee Dam in Washington is of this type. It uses its enormous weight of over 20 million tons to hold back the reservoir behind it.
Less bulky dams, which are cheaper and faster to build, must rely on a stronger shape to resist the force of water acting on them. A dam may be arched, for instance, so that the water pressure is carried outward to the sides. In fact, an arched dam is like a very strong arched bridge lying on its end.
If a dam is arched both up and down and from side to side, then it has even greater strength. Such a structure is known as a cupola dam.
The Grand Coulee Dam in Washington is an embankment, or gravity, dam |
All Trussed Up
Look in the attic of a house and you will find that the roof is held up by a series of trusses made from thick wooden beams. Over the years, engineers have experimented with all sorts of truss designs. For example, wooden trusses were used to support many railway bridges in North America in the last century. Such structures were found to be especially strong if neighboring triangles shared the same side. The common side is known as a king post.
Today, trusses are still used in a wide variety of buildings. They stiffen the supporting structure of tall skyscrapers, form the framework of radio and television masts, and hold up most of the roofs in our houses, stores, offices, and schools.
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