Semi-circular beam and castigliano's theorum

[Dicko]

hey guys,
firstly i know this topic is on this website somewhere already but the answers were very good and not complete..

i need a had with this question:
first here's the situation...
semicircular beam fixed at one end with a load on the other...

how can i find out the equations of horazontal and vertical deflection at any point on the beam using castigliano's theorum with moment deflections in vertical and horazontal and axial deflections?

im finding it difficult and would really appreciate the help.. or even the answer :D with detailed solutions that follow working through..

i don't expect this.. but just really hoping for someone really brainy to come along and help me out before my deadline in 4 days..

thanks, Ash

 

[Astronuc]

Well, what are the orientations of the semi-circular beam, i.e. the plane of the beam in the vertical or horizontal, and what is the orientation of the load with respect to the beam?

Meanwhile - http://www.mech.uwa.edu.au/DANotes/MST/thin/thin.html

http://www.mae.ncsu.edu/courses/mae316/eischen/notes.html

http://www.roymech.co.uk/Useful_Tables/Beams/Beam_Index.html#Links

 

[Dicko]

the attachment is the lab sheet with picture of the beam and its orientation.
if i can get workings for the theoretical deflections of anywhere on the beam, specifically the point where the load is acting, in both horazontal and vertical.
hope this makes things more clear..
thanks

 

[Pyrrhus]

Hey Dicko, we cannot provide a complete solution because of https://www.physicsforums.com/showthread.php?t=5374", we will gladly help out.