The truss shown has members all made from the same material $(E=10,000$ksi and member $1$ has a cross$-$sectional area of $1\mathrm{.}5i{n}^2,$ while members $2$ and $3$ have a crosssectional area of $1i{n}^2.$ The support at node $3$ settles $0\mathrm{.}25"$ downward. Using the direct stiffness method,

a$.$ Determine all joint displacements. $[6$ points$]$

b$.$ Determine all support reactions. $[6$ points$]$

c$.$ Determine the axial force in each member. Be sure to state if the member is in tension or compression. $[6$ points$]$

d$.$ Use MASTAN$2$ to model the truss and verify your answers. Ensure that the node numbers in your model match the node numbers shown in circles and the element numbers match those shown in squares. Attach a screenshot of your model, the axial force diagram and the support reactions calculated by MASTAN$2[2$ points$]$