Determine the forces using virtual work(unit force method)

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The discussion focuses on using the principle of virtual work, specifically the unit force method, to determine forces in a multispan beam. Participants express difficulty in applying this method, particularly when analyzing the subsidiary portion of the beam. There is a consensus that while the principle of virtual work is commonly used, it may not be straightforward in this scenario. One user confirms that they can solve the problem using other methods but struggles with the virtual work approach. The conversation highlights the challenges of applying theoretical methods to practical problems in structural analysis.
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Summary:: Require to determine the designated forces using principle of virtual work ( unit force method )

I have no idea how to determine the multispan beam using virtual work, if I start to analyse the subsidiary portion BC member, the Yc can be calculated and following by the Ma... it seems don’t involve the unit force method
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I use the Principle of Virtual Work quite often, but I have to say that I do not see a simple way to employ it here. Is this a homework problem? If not, who cares what method is used?
 
Yes, this is a homework problem, I know how to solve it if don't use virtual work method, but now I only can find the Yc
 

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Thread 'Why wasn’t gravity included in the potential energy for this problem?'

Thread 'Why wasn’t gravity included in the potential energy for this problem?'

I’m looking at the attached vibration problem. The solution in the manual includes the spring potential energy but does NOT include the gravitational potential energy of the hanging mass. Can someone explain why gravitational potential energy is not included when deriving the equation of motion? I tried asking ChatGPT but kept going in circles and couldn't figure out. Thanks!
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