All structures in this homework assignment are stable and statically indeterminate. Clearly show the primary structure and the redundant structure for each problem. Use the Method of Virtual Work to compute the deflections needed for the required compatibility equations; you may use the product integral table in the textbook if applicable.

Consider that axial force structural system comprised of two members shown below. There are supports at A and C and a rigid plate that is loaded by two symmetrically$-$placed forces at B $,$ where each force is $P=20$kips. The data corresponding to the member properties in the figure are given in the table below.

a$.$ Show that the structure is statically indeterminate and indicate the degree of indeterminacy.

b$.$ Taking the reaction force at C as the redundant, use the flexibility method to compute all reaction forces of the structure.

c$.$ Draw the axial force diagram for the system.

$\backslash$table$[[$Member Property,Value and units$],[E_l($Young$\text{'}$s Modulus$),30,000$ksi

On paper please solve each part, and draw and label appropriate diagrams