Suspension Bridges: What is the Shape Called?

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SUMMARY

The shape formed by the suspensions on a suspension bridge is known as a catenary. This term is often confused with the parabolic shape that a suspension bridge cable takes under load. The catenary curve is a complex geometric figure that was historically challenging to derive, with notable mathematicians like Newton struggling with its formulation until advancements in 18th-century mathematics made it more accessible.

PREREQUISITES
  • Understanding of catenary curves in geometry
  • Familiarity with suspension bridge design principles
  • Basic knowledge of parabolic shapes and their properties
  • Awareness of historical mathematical developments in the 18th century
NEXT STEPS
  • Research the mathematical derivation of catenary curves
  • Explore the differences between catenary and parabolic shapes in engineering
  • Study the principles of suspension bridge design and load distribution
  • Investigate the historical context of 18th-century mathematics and its key figures
USEFUL FOR

Engineers, architects, mathematics enthusiasts, and students studying structural design and geometry will benefit from this discussion.

ehrenfest
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What is the name for the shape that the suspensions on a suspension bridge make? I think it is something like canary?
 
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Are you thinking of catenary?
 
Yes. Thanks.
 
Not a trivial geometry to derive. I believe Newton was unable to solve this catenary problem, that it required near-18th century mathematics to undertake.
 
A suspension bridge cable actually makes a parabola, a hanging cable by itself makes a catenary.
 

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