A beam system is shown below. $E=400{10}^{9}Pa,I=2\mathrm{.}5{10}^{-7}{m}^4.$ The global coordination system has been established and the node and member numbers have been given in the figure. Please

assign the local coord inate system for each member;

draw and number the global node coordinates;

calculate local and global equivalent nodal loads;

list $D_u$ and $D_k$ with variables, and $F_k$ with variables and values;

give $K_{11}$ and $K_{21}$; and

determine the unknown nodal displacements $($in $m$ or rad$).$