Find Reaction forces using energy methods (curved beam portion)

AI Thread Summary
The discussion revolves around determining reaction forces and moments at pin joints of a curved beam using energy methods, specifically focusing on strain energy. The user is uncertain about how to distribute the applied force F between the two sections of the beam and is considering whether to equate the strain energies of both halves. There is a need for clarity on how to approach the distribution of force and whether additional calculations are necessary to find the force values. The user also inquires about the number of reaction components at the pinned ends. Overall, the thread seeks guidance on applying energy methods to solve the problem effectively.
chucknorris10
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Homework Statement


I think I am just overthinking this...

So, the problem is as the picture details. It asks for the reaction forces and moments at each of the two ends (pin joints) using (strain) ENERGY METHODS in terms of the applied force F. the labeled lengths are the lengths of the segments and the radius of curvature. E,I,A 'given'

I suppose right off the bat is there a way to divide up F to both sections (right now i have the L bar and the curved beam as the two main sections) simply just be inference or will i have to solve something to find how F is distributed? perhaps i need to set the two halves' strain energy equal to each other there? but even then id need the force value...

please let me know if there's any detail i may have omitted. thanks!

2vlpagn.png



Homework Equations


I have the equations for all possible castigliano/energy method calculations. just ned how to distribute the applied force...


The Attempt at a Solution


http://tinypic.com/r/ie47yx/7
doesnt appear as if the pic loads http://tinypic.com/r/ie47yx/7
 
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If the ends are pinned, then how many reaction components are there that are greater than zero?
 

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