Problem 11.114

While the load at C is 7.5 kips, it must be replaced by an unknown F temporarily, since it would otherwise be impossible to take the partial derivative of the energy with respect to F.
The energy of the truss is

where P is the axial force in each member of the truss (the members are two-force members). These axial forces will have to expressed in terms of the (temporarily) unknown load F. Clearly, member BC must be in compression. Taking a free body about joint B:
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The partial derivatives are:

Lengths will be needed:

Substituting these into the equation above...