$2\mathrm{.}3-27$ A vertical steel bar ABC is pin$-$supported at its upper end and loaded by a force $P_1$ at its lower end. A horizontal beam BDE is pinned to the vertical

PROBLEM $2\mathrm{.}3-27$

bar at joint $B$ and supported at point $D.$ Load $P_2$ and moment $M$ are applied at end $E.$ Calculate the vertical displacement ${}_C$ at point $C$ if the loads are $P_1=11kN,P_2=4\mathrm{.}5kN,$ and $M=2\mathrm{.}8kN*m.$ The modulus of elasticity is $E=200$GPa and crosssectional areas are $A_1=160m{m}^2$ and $A_2=100m{m}^2.$ Ignore the weight of the bar.