Consider modulus of elasticity E$=29000[$kips$/$in$2],$ inertia of beam I$=1500[$in$4]$ and area of $$truss bars A$=1[$in$2].$ Also consider that support A is a sliding support.

$1$kips$=1000$lbf $1$ft $=1=12$in $=12.$

Neglect axial force and shear in beam. You must consider axial force in truss.

a$)$ Calculate deflection in point B$,$ and b$)$: If the lattice at support C of beam ABC is replaced by a spring of stiffness $$K$,$ what should its value be so that the deflection calculated in a$)$ is maintained?