What Are the Tensions in Each Cable of a Suspension Bridge?

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Homework Help Overview

The discussion revolves around a problem involving a simple suspension bridge with a uniform horizontal roadway supported by vertical cables. The problem requires determining the tensions in various segments of the cables, given specific dimensions and mass. Participants are exploring the relationships between the tensions and the geometry of the setup.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants are attempting to resolve vertical forces and are questioning the implications of missing height information for certain points on the bridge. Some suggest using trigonometric relationships to find angles, while others express uncertainty about the relevance of given dimensions.

Discussion Status

The discussion is ongoing, with various participants offering insights and suggestions for approaching the problem. Some have proposed writing equations for forces, while others are considering the implications of the missing information. There is a recognition of the complexity involved in determining tensions based on the provided data.

Contextual Notes

Participants note that the problem statement may lack critical information regarding the heights of certain points, which complicates the analysis. There is also mention of the assumption that the cables are massless, which affects the interpretation of the given dimensions.

  • #31
insightful said:
I'd love to see how the textbook got their answers. Doubling doesn't appear to explain my discrepancy.
True.
The textbook answer looks ridiculous to me. Since ##\frac{\sqrt{5}}{2}>1.1## it is saying, via its value for AB and EF, that each of the four pylons is resisting a force equal to more than the entire weight of the bridge.
 
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  • #32
insightful said:
Yes, it would be fun to see if they match mine [(mg/4)sqrt(2) for AB and EF, and (mg/8)sqrt(5) for BC and DE].
These are also the answers I arrived at. (No saying I haven't blundered somewhere, though.)[/color][/size][/color]
 

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