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

  • Thread starter Thread starter hendrix7
  • Start date Start date
  • Tags Tags
    Bridge Suspension
Click For Summary
The discussion focuses on calculating the tensions in the cables of a suspension bridge, specifically addressing a problem where the heights of certain points are ambiguous. Participants analyze the forces acting on the bridge and derive equations based on vertical and horizontal equilibrium. They note that the problem may lack necessary information regarding the height of points B and E, which complicates finding the angle and tensions in the cables. Despite this, they explore various methods to solve for the tensions, ultimately concluding that the given dimensions can lead to a solution. The conversation highlights the importance of accurate problem specifications in physics.
  • #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.
 
Physics news on Phys.org
  • #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]
 

Similar threads

  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 19 ·
Replies
19
Views
3K
Replies
1
Views
3K
  • · Replies 9 ·
Replies
9
Views
4K
Replies
3
Views
2K
Replies
2
Views
5K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
4
Views
5K
  • · Replies 29 ·
Replies
29
Views
9K
  • · Replies 4 ·
Replies
4
Views
4K