Problem $1$: Determine the slope and the displacement at C$.$ EI is

constant. Use consistent units, i$.$e$.1$ft$=12$ in$.$ Use the moment$-$area theorem. Take E $=$

$29000$ ksi, I $=1000$ in$4.($P $7-28)(10$ points$)$

Problem $2$: Use conjugate beam theory to solve Problem $1(10$ points$)$

Problem $3$: Use the method of virtual work to solve Problem $1(10$ points