Provide MATLAB code for the following problem: A $2$D Truss structure has to be designed to sustain a total load $2$P$=400$kNN as applied on nodes $1$ and $2$

as shown in Figure $1.$ The foundation structure below surface AB is not designed. The only constraint on the

base of this support structure is that it lies entirely within the box shown in the figure. The truss members are

composed of ASME A$335-$grade chrome steel, with the elastic modulus, yield strength, and safety factor as

specified below.

Material Properties for ASME A$335$ Steel:

E$=210$ GPa.,S$\_($Y$)=205$ MPa.,SF$=2\mathrm{.}5$

Figure $1$: $2$D Truss Configuration $($to the scale$)$

Design Goal: Design $2$ different truss structures in the region marked by the red box with a dashed boundary, such that

minimum amount of material $($i$.$e$.$ volume$)$ is needed to bear the applied load without failure. For each of the two configurations show the deformed truss structure exaggerated by $100$x the actual displacements