Castigliano's Theorem for Trusses

[jnlbctln]

Can we get the rotation(Slope) of a TRUSS member, let's say a warren truss using Castigliano's Theorem? Thanks.

 

[pongo38]

In principle, yes, but it depends on the nature of the joints and the loading as to how difficult that is going to be. Even in a pin-jointed frame loaded only at the nodes, where negligible end rotation of members will occur, the joint as a whole may deflect along two axes and imply MEMBER rotations, as distinct from the member end rotations that would arise if the loading was not nodal.