The pin$-$connected structure $($truss$)$ shown below is loaded by a horizontal load, $Q_1=45$ kips and a vertical load $Q_2=35$ kips at node $1$ with directions as shown in the figure.

Consider $E=11,000$ksi,$A=1\mathrm{.}2i{n}^2$ and each element connectivity is as follows:

$\backslash$table$[[$Element$,$Initial node,Final node$],[1,1,2],[2,1,3],[3,1,4]]$

Using the direct stiffness method, solve the following:

a$)$ Assemble the $88$ global stiffness matrix for the structure.

b$)$ Find the unknown displacements.

c$)$ Find the reactions at node $3.$

d$)$ Find the member end forces for member $2$ and clearly indicate whether it is in compression or tension.