THIS IS A PRE EXAM EXERCISE. MY PROFESSOR JUST EVALUATED IT$,$ BUT HE DID NOT GAVE THE ANSWERS. HELP ME TO SOLVE IT$,$ TO STUDY BASED ON THIS PROBLEM.NOT TAKE IN CONSIDERATION THE NUMBERS IN ORANGE, THEY BARE JUST THE POINTS OF EVALUATION. The plane truss is loaded with force $P$ as shown below. Constants $E$ and A for each bar are as

shown in the diagram. For $E=2E+11Pa,A=7\mathrm{.}85E-03m^2,L=1m,$ and $P=150kN$ :

a$.$ Fill out Table $1(5$ points$).$

$\frac{4}{5}$

b$.$ Determine the global stiffness matrix of each element $(15$ points$).$

c$.$ Determine the size of the overall stiffness matrix $(5$ points$).$

d$.$ Assemble the overall stiffness matrix $(40$ points$).$

e$.$ Determine the loads and boundary conditions $(10$ points$).$

f$.$ Build the global stiffness equation $\{F\}=[K]\{u\}$ applying loads and boundary

conditions. Leave the stiffness matrix expressed as $K,$ e$.$g$.,(10$ points$).{?}^6\%/10$

$\{[F_{1x}],[F_{2x}],[vdots]\}=\frac{EA}{L}[K]\{[u_1],[v_1],[vdots]\}$

g$.$ Reduce the sparse matrix into the condensed matrix $(15$ points$).\frac{8}{15}$