MadSci Network: Engineering |
Not sure I can answer your question without more requirements. Truss type bridges use short beams of steel or wood to form triangles. Each triangle takes up a portion of the load applied, either in tension (pulling) or compression (pushing). The length of the triangle'S side, the number of triangles, and the configuration will all depend on what you are trying to accomplish and what kind of material you are using for the trusses. For instance, if you are trying to build a true bridge holding up trucks and cars, the weight of the bridge itself may be significant compared to the weight of the cars and trucks. If that is the case, the loading is fairly uniform accross the length of the bridge. I would expect the cross section of the optimum bridge to look very similar as you went from one end to the other. You will see many of these type bridges in northern cities or where railroad tracks cross rivers or highways. Many of them were designed in the 1800's when railroads were interested in using the least amount of steel per bridge. If you were talking about a toy bridge made of toothpicks and holding up a large weight in the center, then the answer would be different. The weight in the center would be much larger than the weight of all of the toothpicks, so the bridge has to be stronger in the middle and not as strong at the ends. To keep it from bending too far, you would have to make it tall rather than wide to stiffen it. Although I don't talk about truss bridges in particular, I have written a Design Booklet about the subject of building paper bridges. You might go to my website and download a .pdf copy to look at some of the principles involved. HTTP://OURWORLD.COMPUSERVE.COM/HOMEPAGES/JMSALTERNATIVES
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