How do I determine the load on a vertical prop in a cantilever beam system?

AI Thread Summary
To determine the load on a vertical prop in a cantilever beam system, one must analyze the deflections of the beams involved. The deflections are given by the formulas v (top beam) = (PL^3)/(3EI) and v (bottom beam) = (5WL^3)/(48EI) - (PL^3)/(3EI). The load on the prop can be derived from these deflections, considering the dimensions and material properties of the prop, such as its diameter and Young's modulus. Understanding the relationship between the loads and deflections in cantilever beams is crucial for accurate calculations. This analysis is essential for ensuring structural integrity in engineering applications.
phiska
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If i have two cantilever beams with a vertical prop between the free ends as shown in diagram, how do i find the load on the prop?

I have the deflections of the beams to be:

v (top beam)= (PL^3)/(3EI)
v(bottom beam)=(5WL^3)/(48EI)-(PL^3)/(3EI)

the prop is of diameter d, and length a, with youngs modulus E.

Any hints/help appreciated!
 

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Didn't you ask this last week?
 
No, its a similar example, with the same arrangement but a different question.

This time I'm looking at the load on the prop.
 

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