A system with applied loads is shown in Fig. $3.$ The system consists of two grid elements, is

fixed at nodes $1$ and $3,$ and is subjected to concentrated loads at node $2.$ The global coordinate

axes and element lengths are shown in the figure. Determine the nodal displacements at node $2.$

Take $E=210$GPa,$G=84$GPa,$A=1{10}^{-2}{m}^2,I=2{10}^{-4}{m}^4$ and $J=1{10}^{-4}{m}^4$ for all

elements.

Ans: $u_{2y}=-10\mathrm{.}3mm,{}_{2x}=0\mathrm{.}244$rad,${}_{2z}=-0\mathrm{.}237$rad