We have the structure shown in Fig. $1.$ The material modulus of elasticity for both members is $\backslash ($ E$=1,000,000\backslash$mathrm$\{$kip$\}/\backslash$mathrm$\{$ft$\}^\{2\}\backslash ).$

Figure $1$

a$)$ Solve the structure using MASTAN$2(15$ points$).$

b$)$ Consider the case where the $\backslash ((\backslash$mathrm$\{$EI$\})\_\{\backslash$mathrm$\{$l$\}\}(\backslash$mathrm$\{$EI$\})\_\{2\}\backslash )$ values are $5$ times bigger than the values given in Figure $1.$ Solve the structure for these revised values. What do you observe? $(5$ points$)$

c$)$ Now, consider the case where $($EI$)!$ is $5$ times bigger than the value given in Figure $1,$ while $($EI$)$z is equal to the value of Figure $1.$ Solve the structure. What do you observe now? $(5$ points$)$

d$)$ Now, we consider the case where the structure is not subjected to mechanical loads, but we only have a temperature change in member AB$,$ as shown in Fig. $2.$ There is no temperature change in member $\backslash ($ B C $\backslash ).$ Solve the structure for the values given in Fig. $2.(5$ points$)$

e$)$ Solve the structure of Fig. $2$ again, but this time using values of $\backslash (($E I$)\_\{1\}\backslash )($EI$)$ which are $5$ times bigger than the values given in Fig. $1.(5$ points$)$

f$)$ Bosed on your findings in parts a$,$ b$,$ c and d$,$ can you establish some general rules on the effect of the member section size $($which affects the $"$EI$"$ value of the members$)$ on the obtained results? $(5$ points$)$