How Much Load Will the Wheel at C Bear in a 3-Axle Trailer?

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SUMMARY

The discussion focuses on calculating the load on wheel C of a 3-axle trailer, emphasizing that wheels A and B cannot bear the entire load. The problem requires considering the deformation of the trailer, which behaves as a quartic beam rather than a rigid structure. The load distribution is influenced by the position of the center of load, which lies between wheels B and C. Accurate sizing of wheel C is essential for proper load management.

PREREQUISITES
  • Understanding of static equilibrium in mechanics
  • Knowledge of beam deformation and quartic equations
  • Familiarity with load distribution principles in multi-axle trailers
  • Basic skills in structural analysis
NEXT STEPS
  • Research static equilibrium calculations for multi-axle trailers
  • Study beam deformation theories, particularly quartic beam analysis
  • Learn about load distribution methods in mechanical systems
  • Explore software tools for structural analysis, such as ANSYS or SolidWorks
USEFUL FOR

Mechanical engineers, structural analysts, and students involved in trailer design or load management will benefit from this discussion.

Mechaman
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Homework Statement


https://imgur.com/a/AGJaN
It's a project so not a textbook question.

The Attempt at a Solution


Given in imgur picture.
[/B]
I'm looking to solve for C. The problem is actually a trailer with 3 axles but simplifying here as 3 fixed points where the wheels would be. The wheels A and B will want to be sized to take the full load. However, how much load will the wheel at C be subject to here so I can size accordingly?
 
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Mechaman said:

Homework Statement


https://imgur.com/a/AGJaN
It's a project so not a textbook question.

The Attempt at a Solution


Given in imgur picture.
[/B]
I'm looking to solve for C. The problem is actually a trailer with 3 axles but simplifying here as 3 fixed points where the wheels would be. The wheels A and B will want to be sized to take the full load. However, how much load will the wheel at C be subject to here so I can size accordingly?
Since there are three supports, you cannot solve it representing the beam as rigid. You need to consider its deformation (a quartic).
There is no way that A and B would take the full load, though, since the centre of the load is between B and C.
 

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