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

[Mechaman]

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?

 

[haruspex]

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.