Q$1.$ A $2$D truss is shown below. Assume that the section area $(A)$ for all elements is $3i{n}^2$ and the

modulus of the elasticity $(E)$ is $30{10}^6.$ Ignore the self$-$weight of the members.

a$.$ Obtain the structure $($global$)$ stiffness matrix by direct superposition,

b$.$ Determine the nodal displacements,

c$.$ Determine the element local forces and stresses,

d$.$ Verify the nodal displacements and element forces$/$stresses calculated in $($b$)$ and $($c$)$ using

BOTH the provided MATLAB program, and SAP$2000$ OR SkyCiv. As a minimum,

provide a side$-$by$-$side table including hand calculated responses, MATLAB calculated

response, and program $($SAP$2000$ or SkyCiv$)$ calculated response. Q$1.$ A $2$D truss is shown below. Assume that the section area $($A$)$ for all elements is $3$ in$2$ and the

modulus of the elasticity $($E$)$ is $30\backslash$times $106$ psi. Ignore the self$-$weight of the members. $(50\%)$

a$.$ Obtain the structure $($global$)$ stiffness matrix by direct superposition, $(20\%)$

b$.$ Determine the nodal displacements, $(10\%)$

c$.$ Determine the element local forces and stresses, $(10\%)$