Solid mechanics, castiglianos second theorem

[kantti]

http://img237.imageshack.us/i/lahaka.jpg/
http://img237.imageshack.us/i/lahaka.jpg/
So... I need to determine the deflection of the beam under applied force P due to flexural deformation using castiglianos second theorem.

Simply, delta = dU / dP

How do I determine the strain energy U for the given system?

 

[vishal007win]

first calculate M and V ...from there calculate U using formulae...
as in one using moment is...
U=integral(0 to L) (M^2/2*E*L) dl...
similarly go wid V..
den differentiate...to get final displacement...

 

[kantti]

Thank you for the reply.

Now I'm stuck on a different problem. I want to determine the support reactions for given structure using the same theorem (see attachment). Axial deformations are considered negligible. This is what i got so far, but now I'm a bit clueless on how to continue. Be gentle, I'm lacking some necessary literature =)

 

[vishal007win]

well i can solve it...
but there is some kind of policy that for new problm u have to make a new thread...