Measuring Parabolas of a Suspension Bridge - Alex

In summary, the conversation discussed the assignment of measuring the parabolas of a suspension bridge and different ideas for how to approach it, including using a point of reference. It was also mentioned that the vertex is at the center of the bridge and the heights on each end are equal, providing the necessary information to find the parabola of the suspension cable.
  • #1
RepoMan
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I was given the assignment to measure the parabolas of a suspension bridge. I have some ideas for how to go about it, like using a point of reference and going out from there. I was wondering if anyone had any other ideas. Thanks!

Alex
 
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  • #2
Some important aspects about a bridge to note are that:
  1. The vertex of the parabola is at the centre of the bridge, from a side view. This is obvious since it hangs freely and the lowest point would be in the middle.
  2. The heights on each end of the bridge are equal so if the vertex is at (0,0) then one end of the bridge will be at (x,h) and the other end will be at (-x,h).

This is all the information you would need to find the parabola that defines the suspension cable.
 
  • #3
That is great! thanks for the help.
 
  • #4
Glad to help :smile:
 

Related to Measuring Parabolas of a Suspension Bridge - Alex

1. How do you measure the parabolas of a suspension bridge?

To measure the parabolas of a suspension bridge, you will need to use a combination of surveying tools such as a theodolite, laser level, and total station. First, you will need to establish a baseline across the bridge using the theodolite. Then, you can use the laser level to shoot a laser beam from the baseline to the highest point of the parabola. Finally, the total station can be used to measure the distance from the baseline to the highest point, as well as any other points along the parabola.

2. Why is it important to measure the parabolas of a suspension bridge?

Measuring the parabolas of a suspension bridge is important for several reasons. It allows engineers to ensure that the bridge is constructed according to its design, which helps ensure its structural integrity and safety. Additionally, measuring the parabolas can help determine if there are any structural issues or deformations that need to be addressed.

3. What factors can affect the parabolas of a suspension bridge?

Several factors can affect the parabolas of a suspension bridge, including the weight and distribution of the bridge's load, temperature changes, wind conditions, and any changes in the bridge's foundation or supports. These factors can cause the bridge to deform or change shape, which can affect the parabolas.

4. What are some challenges when measuring the parabolas of a suspension bridge?

One of the main challenges when measuring the parabolas of a suspension bridge is the bridge's size and height. It can be difficult to reach the highest points of the parabolas, and specialized equipment may be required. Additionally, weather conditions such as wind or rain can make it challenging to get accurate measurements.

5. How often should the parabolas of a suspension bridge be measured?

The frequency of measuring the parabolas of a suspension bridge depends on various factors such as the age of the bridge, its usage, and environmental conditions. Generally, it is recommended to measure the parabolas at least once a year or after any significant weather events or changes in load. However, bridges that are heavily used or located in harsh environments may require more frequent measurements.

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