Using the dummy load method, determine theFor the beam shown, using Castigliano's second

theorem, determine the rotation at support A and the

deflection at point C$.$ Assume linear elastic response;

consider flexural effects only.

total deflection at joint C $($i$.$e$.,$ resultant of

horizontal and vertical deflections$)$ and its

deviation from the horizontal axis for the truss

system shown. The cross$-$sectional area of the

vertical and horizontal members is $180m{m}^2,$

and of the inclined members $200m{m}^2.$ Assume

$P=30kN,a=1600mm,b=2100mm$ and $E$

$=200000$MPa.