Show me the steps to solve Part $2$: Truss analysis

The complex steel truss in Figure $1$ forms a part of a crane structure. The truss is pin supported at A and roller supported at C $.$ All truss members are pin jointed. A horizontal load of P is applied at joint E $.$ The Young's modulus of steel should be taken as $200$ GPa. The load, geometry and cross$-$sections of the truss will be instructed to each student in class.

$($a$)$ Evaluate the static and kinematic determinacy of the truss. $[10$ Marks$]$

$($b$)$ Write the equations of equilibrium at each joint, and transfer them into matrix form. $[15$ Marks$]$

$($c$)$ Determine the axial forces in the truss by the matrix method $($use Excel$).[10$ Marks$]$

$($d$)$ Calculate the horizontal displacement of the truss at point E by the Virtual Work Method. $[15$ Marks$]$