PROBLEM $1(50$ pts$)$

For the structure given, calculate:

$1)$ DSI $(5$pts$)$

$2)$ Support reaction at $\backslash ($ C $\backslash )($roller$)\backslash (25\backslash$mathbf$\{$p t s$\}\backslash ))$

$3)$ Support Reactions at A and B $($fixed supports$)(10$ pts$)$

$4)$ Vertical Displacement at C $(\backslash (\backslash$mathbf$\{10\}\backslash$mathbf$\{$~ p t s$\})\backslash )$

Assume EI constant.