The twomember plane frame in figure 3.24 is subjected to a single horizontal force \(F\). Both translations and rotational DOFs are fixed at nodes 1 and 3. Also, two members are welded together at node 2. Determine:

(a) the displacements and rotation at the point of application of load;

(b) axial force, shear force, and bending moment in each member; and

(c) support reactions. Sketch the deformed shape of the frame. Assume \(F=1000 \mathrm{~N} ; a=\) \(0.3 \mathrm{~m}\). Element properties are: \(E=100 \mathrm{GPa} ; A=10^{-4} \mathrm{~m}^{2} ; I=10^{-8} \mathrm{~m}^{4}\).