Castigliano's thm for beam and frame 3.7 three moment equation derivation 3.6 force method problems (final) 3.5 force method problems using matrices. 3.4 portal frames by force method 3.3 force method (beam problems) 3.1 betti's law and maxwell's receprocal theorem 1.4 vertual work method method problems 1.3 conjugate beam method problems1 1.2 deflection of statically indeterminate beams by moment area method 1.1 static and kinematic indeterminacy