Consider the mixed truss$-$frame structure shown below and let $\backslash ($ L$=3\backslash$mathrm$\{$~m$\}\backslash )$ and $\backslash ($ H$=3\backslash$mathrm$\{$~m$\}\backslash ).$ The vertical column has a hollow circular steel cross$-$section with outer radius $10$ cm and $0\mathrm{.}5$ cm thickness. The wires cannot carry any compression force, because they are wires. They have a circular steel cross$-$section with $1$ cm diameter. Use the same modulus of elasticity as in Problem $1.$

a$)[10$ points$]$ Use the flexibility method to determine the BMD caused by the load given in the figure. Remember, the wires do not take compression. Neglect axial deformations in the column. Select the moment at A as the redundant force.

b$)[10$ points$]$ Determine the displacement at C using the moment$-$area method.

c$)[20$ points$]$ A good way to improve the structure is to tighten the wires. How much do the wires need to be shorted in order to avoid compression for the given load? Let the shortening be the same in both wires.

d$)\backslash ([10\backslash )$ points $\backslash (]\backslash )$ Repeat a$)$ but now with both wires shortened.

e$)[10$ points$]$ Repeat b$)$ but now with both wires shortened.