Problem $2[30$pts$.]$ For the shown indeterminate beam with the given load, $($i$)$ find the support reaction

at the roller $C$ using the force method, and $($ii$)$ repeat part $($i$)$ assuming that the support $C$ settles $0\mathrm{.}25$ in

when the load is applied. Let $E=30,000$ksi and $I=320i{n}^4.$