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

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SUMMARY

To determine the load on a vertical prop in a cantilever beam system, one must analyze the deflections of the beams. The deflection equations provided are v (top beam) = (PL^3)/(3EI) and v (bottom beam) = (5WL^3)/(48EI) - (PL^3)/(3EI). The vertical prop's load can be calculated using these deflections, considering the prop's diameter d, length a, and Young's modulus E. Accurate calculations require understanding the relationships between the forces acting on the beams and the prop.

PREREQUISITES
  • Cantilever beam theory
  • Understanding of Young's modulus (E)
  • Basic principles of structural mechanics
  • Knowledge of beam deflection formulas
NEXT STEPS
  • Study the derivation of beam deflection equations
  • Learn about the effects of varying Young's modulus on structural integrity
  • Explore methods for calculating loads in cantilever systems
  • Investigate software tools for structural analysis, such as SAP2000 or ANSYS
USEFUL FOR

Structural engineers, civil engineering students, and professionals involved in the design and analysis of cantilever beam systems will benefit from this discussion.

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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